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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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declare(strict_types=1); |
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namespace DVDoug\BoxPacker; |
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use function count; |
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use DVDoug\BoxPacker\Exception\ItemTooLargeException; |
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use DVDoug\BoxPacker\Exception\NoBoxesAvailableException; |
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use const PHP_INT_MAX; |
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use Psr\Log\LoggerAwareInterface; |
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use Psr\Log\LoggerAwareTrait; |
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use Psr\Log\LogLevel; |
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use Psr\Log\NullLogger; |
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use function usort; |
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/** |
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* Actual packer. |
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* |
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* @author Doug Wright |
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*/ |
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class Packer implements LoggerAwareInterface |
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{ |
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use LoggerAwareTrait; |
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/** |
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* Number of boxes at which balancing weight is deemed not worth it. |
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* |
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* @var int |
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*/ |
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protected $maxBoxesToBalanceWeight = 12; |
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/** |
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* List of items to be packed. |
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* |
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* @var ItemList |
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*/ |
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protected $items; |
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/** |
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* List of box sizes available to pack items into. |
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* |
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* @var BoxList |
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*/ |
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protected $boxes; |
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/** |
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* Quantities available of each box type. |
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* |
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* @var array<int, int> |
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*/ |
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protected $boxesQtyAvailable = []; |
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/** |
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* Constructor. |
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*/ |
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public function __construct() |
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{ |
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$this->items = new ItemList(); |
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$this->boxes = new BoxList(); |
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$this->logger = new NullLogger(); |
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} |
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/** |
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* Add item to be packed. |
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*/ |
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public function addItem(Item $item, int $qty = 1): void |
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{ |
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for ($i = 0; $i < $qty; ++$i) { |
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$this->items->insert($item); |
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} |
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$this->logger->log(LogLevel::INFO, "added {$qty} x {$item->getDescription()}", ['item' => $item]); |
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} |
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/** |
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* Set a list of items all at once. |
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* @param iterable<Item>|ItemList $items |
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*/ |
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public function setItems(iterable $items): void |
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{ |
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if ($items instanceof ItemList) { |
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$this->items = clone $items; |
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} else { |
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$this->items = new ItemList(); |
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foreach ($items as $item) { |
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$this->items->insert($item); |
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} |
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} |
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} |
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/** |
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* Add box size. |
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*/ |
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public function addBox(Box $box): void |
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{ |
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$this->boxes->insert($box); |
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$this->setBoxQuantity($box, $box instanceof LimitedSupplyBox ? $box->getQuantityAvailable() : PHP_INT_MAX); |
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$this->logger->log(LogLevel::INFO, "added box {$box->getReference()}", ['box' => $box]); |
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} |
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/** |
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* Add a pre-prepared set of boxes all at once. |
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*/ |
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public function setBoxes(BoxList $boxList): void |
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{ |
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$this->boxes = $boxList; |
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foreach ($this->boxes as $box) { |
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$this->setBoxQuantity($box, $box instanceof LimitedSupplyBox ? $box->getQuantityAvailable() : PHP_INT_MAX); |
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} |
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} |
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/** |
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* Set the quantity of this box type available. |
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*/ |
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public function setBoxQuantity(Box $box, int $qty): void |
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{ |
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$this->boxesQtyAvailable[spl_object_id($box)] = $qty; |
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} |
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/** |
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* Number of boxes at which balancing weight is deemed not worth the extra computation time. |
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*/ |
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public function getMaxBoxesToBalanceWeight(): int |
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{ |
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return $this->maxBoxesToBalanceWeight; |
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} |
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/** |
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* Number of boxes at which balancing weight is deemed not worth the extra computation time. |
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*/ |
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public function setMaxBoxesToBalanceWeight(int $maxBoxesToBalanceWeight): void |
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{ |
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$this->maxBoxesToBalanceWeight = $maxBoxesToBalanceWeight; |
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} |
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/** |
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* Pack items into boxes. |
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*/ |
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public function pack(): PackedBoxList |
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{ |
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$this->sanityPrecheck(); |
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$packedBoxes = $this->doVolumePacking(); |
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//If we have multiple boxes, try and optimise/even-out weight distribution |
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if ($packedBoxes->count() > 1 && $packedBoxes->count() <= $this->maxBoxesToBalanceWeight) { |
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$redistributor = new WeightRedistributor($this->boxes, $this->boxesQtyAvailable); |
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$redistributor->setLogger($this->logger); |
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$packedBoxes = $redistributor->redistributeWeight($packedBoxes); |
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} |
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$this->logger->log(LogLevel::INFO, "[PACKING COMPLETED], {$packedBoxes->count()} boxes"); |
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return $packedBoxes; |
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} |
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/** |
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* Pack items into boxes using the principle of largest volume item first. |
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* |
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* @throws NoBoxesAvailableException |
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*/ |
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public function doVolumePacking(bool $singlePassMode = false, bool $enforceSingleBox = false): PackedBoxList |
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{ |
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$packedBoxes = new PackedBoxList(); |
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//Keep going until everything packed |
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while ($this->items->count()) { |
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$packedBoxesIteration = []; |
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//Loop through boxes starting with smallest, see what happens |
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foreach ($this->getBoxList($enforceSingleBox) as $box) { |
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$volumePacker = new VolumePacker($box, $this->items); |
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$volumePacker->setLogger($this->logger); |
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$volumePacker->setSinglePassMode($singlePassMode); |
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$packedBox = $volumePacker->pack(); |
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if ($packedBox->getItems()->count()) { |
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$packedBoxesIteration[] = $packedBox; |
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//Have we found a single box that contains everything? |
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if ($packedBox->getItems()->count() === $this->items->count()) { |
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break; |
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} |
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} |
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} |
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try { |
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//Find best box of iteration, and remove packed items from unpacked list |
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$bestBox = $this->findBestBoxFromIteration($packedBoxesIteration); |
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} catch (NoBoxesAvailableException $e) { |
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if ($enforceSingleBox) { |
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return new PackedBoxList(); |
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} |
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throw $e; |
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} |
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$this->items->removePackedItems($bestBox->getItems()); |
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$packedBoxes->insert($bestBox); |
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--$this->boxesQtyAvailable[spl_object_id($bestBox->getBox())]; |
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} |
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return $packedBoxes; |
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} |
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/** |
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* Get a "smart" ordering of the boxes to try packing items into. The initial BoxList is already sorted in order |
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* so that the smallest boxes are evaluated first, but this means that time is spent on boxes that cannot possibly |
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* hold the entire set of items due to volume limitations. These should be evaluated first. |
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* |
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* @return iterable<Box> |
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*/ |
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protected function getBoxList(bool $enforceSingleBox = false): iterable |
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{ |
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$itemVolume = 0; |
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foreach ($this->items as $item) { |
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$itemVolume += $item->getWidth() * $item->getLength() * $item->getDepth(); |
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} |
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$preferredBoxes = []; |
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$otherBoxes = []; |
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foreach ($this->boxes as $box) { |
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if ($this->boxesQtyAvailable[spl_object_id($box)] > 0) { |
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if ($box->getInnerWidth() * $box->getInnerLength() * $box->getInnerDepth() >= $itemVolume) { |
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$preferredBoxes[] = $box; |
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} elseif (!$enforceSingleBox) { |
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$otherBoxes[] = $box; |
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} |
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} |
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} |
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return array_merge($preferredBoxes, $otherBoxes); |
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} |
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/** |
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* @param PackedBox[] $packedBoxes |
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*/ |
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protected function findBestBoxFromIteration(array $packedBoxes): PackedBox |
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{ |
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if (count($packedBoxes) === 0) { |
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throw new NoBoxesAvailableException("No boxes could be found for item '{$this->items->top()->getDescription()}'", $this->items->top()); |
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} |
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usort($packedBoxes, [$this, 'compare']); |
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return $packedBoxes[0]; |
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} |
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private function sanityPrecheck(): void |
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{ |
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/** @var Item $item */ |
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foreach ($this->items as $item) { |
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$possibleFits = 0; |
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/** @var Box $box */ |
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foreach ($this->boxes as $box) { |
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if ($item->getWeight() <= ($box->getMaxWeight() - $box->getEmptyWeight())) { |
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$possibleFits += count((new OrientatedItemFactory($box))->getPossibleOrientationsInEmptyBox($item)); |
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} |
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} |
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if ($possibleFits === 0) { |
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throw new ItemTooLargeException("Item '{$item->getDescription()}' is too large to fit into any box", $item); |
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} |
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} |
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} |
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private static function compare(PackedBox $boxA, PackedBox $boxB): int |
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{ |
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$choice = $boxB->getItems()->count() <=> $boxA->getItems()->count(); |
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if ($choice === 0) { |
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$choice = $boxB->getVolumeUtilisation() <=> $boxA->getVolumeUtilisation(); |
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} |
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if ($choice === 0) { |
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$choice = $boxB->getUsedVolume() <=> $boxA->getUsedVolume(); |
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} |
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return $choice; |
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} |
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} |
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