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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 function max; |
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use Psr\Log\LoggerAwareInterface; |
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use Psr\Log\LoggerInterface; |
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use Psr\Log\NullLogger; |
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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 VolumePacker implements LoggerAwareInterface |
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{ |
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/** |
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* The logger instance. |
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* |
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* @var LoggerInterface |
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*/ |
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protected $logger; |
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/** |
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* Box to pack items into. |
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* |
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* @var Box |
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*/ |
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protected $box; |
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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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* Whether the packer is in look-ahead mode (i.e. working ahead of the main packing). |
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* |
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* @var bool |
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*/ |
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protected $singlePassMode = false; |
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/** |
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* @var OrientatedItemFactory |
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*/ |
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private $orientatedItemFactory; |
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/** @var bool */ |
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private $hasConstrainedItems; |
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/** |
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* Constructor. |
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*/ |
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public function __construct(Box $box, ItemList $items) |
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{ |
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$this->box = $box; |
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$this->items = clone $items; |
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$this->logger = new NullLogger(); |
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$this->hasConstrainedItems = $items->hasConstrainedItems(); |
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$this->orientatedItemFactory = new OrientatedItemFactory($this->box); |
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$this->orientatedItemFactory->setLogger($this->logger); |
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} |
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/** |
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* Sets a logger. |
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*/ |
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public function setLogger(LoggerInterface $logger): void |
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{ |
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$this->logger = $logger; |
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$this->orientatedItemFactory->setLogger($logger); |
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} |
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/** |
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* @internal |
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*/ |
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public function setSinglePassMode(bool $singlePassMode): void |
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{ |
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$this->singlePassMode = $singlePassMode; |
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} |
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/** |
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* Pack as many items as possible into specific given box. |
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* |
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* @return PackedBox packed box |
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*/ |
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public function pack(): PackedBox |
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{ |
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$this->logger->debug("[EVALUATING BOX] {$this->box->getReference()}", ['box' => $this->box]); |
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$rotationsToTest = [false]; |
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if (!$this->singlePassMode) { |
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$rotationsToTest[] = true; |
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} |
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$boxPermutations = []; |
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foreach ($rotationsToTest as $rotation) { |
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if ($rotation) { |
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$boxWidth = $this->box->getInnerLength(); |
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$boxLength = $this->box->getInnerWidth(); |
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} else { |
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$boxWidth = $this->box->getInnerWidth(); |
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$boxLength = $this->box->getInnerLength(); |
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} |
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$boxPermutation = $this->packRotation($boxWidth, $boxLength); |
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if ($boxPermutation->getItems()->count() === $this->items->count()) { |
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return $boxPermutation; |
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} |
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$boxPermutations[] = $boxPermutation; |
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} |
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usort($boxPermutations, static function (PackedBox $a, PackedBox $b) { |
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return $b->getVolumeUtilisation() <=> $a->getVolumeUtilisation(); |
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}); |
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return reset($boxPermutations); |
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} |
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/** |
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* Pack as many items as possible into specific given box. |
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* |
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* @return PackedBox packed box |
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*/ |
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protected function packRotation(int $boxWidth, int $boxLength): PackedBox |
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{ |
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$this->logger->debug("[EVALUATING ROTATION] {$this->box->getReference()}", ['width' => $boxWidth, 'length' => $boxLength]); |
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/** @var PackedLayer[] $layers */ |
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$layers = []; |
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$items = clone $this->items; |
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while ($items->count() > 0) { |
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$layerStartDepth = static::getCurrentPackedDepth($layers); |
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//do a preliminary layer pack to get the depth used |
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$preliminaryItems = clone $items; |
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$preliminaryLayer = $this->packLayer($preliminaryItems, $layers, $layerStartDepth, $boxWidth, $boxLength, $this->box->getInnerDepth() - $layerStartDepth, 0); |
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if (count($preliminaryLayer->getItems()) === 0) { |
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break; |
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} |
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if ($preliminaryLayer->getDepth() === $preliminaryLayer->getItems()[0]->getDepth()) { // preliminary === final |
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$layers[] = $preliminaryLayer; |
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$items = $preliminaryItems; |
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} else { //redo with now-known-depth so that we can stack to that height from the first item |
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$layers[] = $this->packLayer($items, $layers, $layerStartDepth, $boxWidth, $boxLength, $this->box->getInnerDepth() - $layerStartDepth, $preliminaryLayer->getDepth()); |
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} |
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} |
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if ($this->box->getInnerWidth() !== $boxWidth) { |
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$layers = static::rotateLayersNinetyDegrees($layers); |
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} |
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if (!$this->singlePassMode && !$this->hasConstrainedItems) { |
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$layers = static::stabiliseLayers($layers); |
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} |
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return new PackedBox($this->box, $this->getPackedItemList($layers)); |
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} |
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/** |
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* Pack items into an individual vertical layer. |
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* @internal |
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*/ |
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protected function packLayer(ItemList &$items, array $layers, int $z, int $layerWidth, int $lengthLeft, int $depthLeft, int $guidelineLayerDepth): PackedLayer |
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{ |
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$layers[] = $layer = new PackedLayer(); |
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$prevItem = null; |
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$x = $y = $rowLength = 0; |
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$skippedItems = []; |
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$remainingWeightAllowed = $this->getRemainingWeightAllowed($layers); |
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while ($items->count() > 0) { |
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$itemToPack = $items->extract(); |
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//skip items that are simply too heavy or too large |
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if (!$this->checkNonDimensionalConstraints($itemToPack, $layers, $remainingWeightAllowed)) { |
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continue; |
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} |
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$orientatedItem = $this->getOrientationForItem($itemToPack, $prevItem, $items, $layers, $layerWidth - $x, $lengthLeft, $depthLeft, $rowLength, $x, $y, $z); |
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if ($orientatedItem instanceof OrientatedItem) { |
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$packedItem = PackedItem::fromOrientatedItem($orientatedItem, $x, $y, $z); |
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$layer->insert($packedItem); |
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$remainingWeightAllowed -= $itemToPack->getWeight(); |
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$rowLength = max($rowLength, $orientatedItem->getLength()); |
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//Figure out if we can stack the next item vertically on top of this rather than side by side |
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//e.g. when we've packed a tall item, and have just put a shorter one next to it. |
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$stackableDepth = ($guidelineLayerDepth ?: $layer->getDepth()) - $orientatedItem->getDepth(); |
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$stackedZ = $z + $orientatedItem->getDepth(); |
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$stackSkippedItems = []; |
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while ($stackableDepth > 0 && $items->count() > 0) { |
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$itemToTryStacking = $items->extract(); |
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$stackedItem = $this->getOrientationForItem($itemToTryStacking, $prevItem, $items, $layers, $orientatedItem->getWidth(), $orientatedItem->getLength(), $stackableDepth, $rowLength, $x, $y, $stackedZ); |
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if ($stackedItem && $this->checkNonDimensionalConstraints($itemToTryStacking, $layers, $remainingWeightAllowed)) { |
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$layer->insert(PackedItem::fromOrientatedItem($stackedItem, $x, $y, $stackedZ)); |
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$remainingWeightAllowed -= $itemToTryStacking->getWeight(); |
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$stackableDepth -= $stackedItem->getDepth(); |
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$stackedZ += $stackedItem->getDepth(); |
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} else { |
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$stackSkippedItems[] = $itemToTryStacking; |
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// abandon here if next item is the same, no point trying to keep going. Last time is not skipped, need that to trigger appropriate reset logic |
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while ($items->count() > 0 && static::isSameDimensions($itemToTryStacking, $items->top())) { |
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$stackSkippedItems[] = $items->extract(); |
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} |
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} |
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} |
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if ($stackSkippedItems) { |
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$items = ItemList::fromArray(array_merge($stackSkippedItems, iterator_to_array($items)), true); |
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} |
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$x += $orientatedItem->getWidth(); |
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$prevItem = $packedItem; |
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if ($items->count() === 0) { |
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$items = ItemList::fromArray(array_merge($skippedItems, iterator_to_array($items)), true); |
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$skippedItems = []; |
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} |
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} elseif (count($layer->getItems()) === 0) { // zero items on layer |
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$this->logger->debug("doesn't fit on layer even when empty, skipping for good"); |
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continue; |
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} elseif ($items->count() > 0) { // skip for now, move on to the next item |
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$this->logger->debug("doesn't fit, skipping for now"); |
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$skippedItems[] = $itemToPack; |
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// abandon here if next item is the same, no point trying to keep going. Last time is not skipped, need that to trigger appropriate reset logic |
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while ($items->count() > 2 && static::isSameDimensions($itemToPack, $items->top())) { |
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$skippedItems[] = $items->extract(); |
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} |
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} elseif ($x > 0) { |
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$this->logger->debug('No more fit in width wise, resetting for new row'); |
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$lengthLeft -= $rowLength; |
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$y += $rowLength; |
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$x = $rowLength = 0; |
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$skippedItems[] = $itemToPack; |
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$items = ItemList::fromArray(array_merge($skippedItems, iterator_to_array($items)), true); |
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$skippedItems = []; |
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$prevItem = null; |
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continue; |
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} else { |
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$this->logger->debug('no items fit, so starting next vertical layer'); |
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$skippedItems[] = $itemToPack; |
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$items = ItemList::fromArray(array_merge($skippedItems, iterator_to_array($items)), true); |
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return $layer; |
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} |
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} |
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return $layer; |
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} |
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/** |
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* During packing, it is quite possible that layers have been created that aren't physically stable |
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* i.e. they overhang the ones below. |
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* |
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* This function reorders them so that the ones with the greatest surface area are placed at the bottom |
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* @param PackedLayer[] $layers |
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*/ |
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56 |
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protected static function stabiliseLayers(array $layers): array |
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275
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{ |
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$stabiliser = new LayerStabiliser(); |
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return $stabiliser->stabilise($layers); |
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} |
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56 |
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protected function getOrientationForItem( |
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Item $itemToPack, |
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?PackedItem $prevItem, |
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ItemList $nextItems, |
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array $layers, |
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int $maxWidth, |
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int $maxLength, |
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int $maxDepth, |
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int $rowLength, |
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int $x, |
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int $y, |
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int $z |
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): ?OrientatedItem { |
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56 |
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$this->logger->debug( |
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56 |
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"evaluating item {$itemToPack->getDescription()} for fit", |
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[ |
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56 |
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'item' => $itemToPack, |
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'space' => [ |
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56 |
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'maxWidth' => $maxWidth, |
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56 |
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'maxLength' => $maxLength, |
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56 |
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'maxDepth' => $maxDepth, |
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], |
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] |
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304
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); |
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305
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306
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56 |
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$prevOrientatedItem = $prevItem ? $prevItem->toOrientatedItem() : null; |
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307
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56 |
|
$prevPackedItemList = $itemToPack instanceof ConstrainedPlacementItem ? $this->getPackedItemList($layers) : new PackedItemList(); // don't calculate it if not going to be used |
|
308
|
|
|
|
|
309
|
56 |
|
return $this->orientatedItemFactory->getBestOrientation($itemToPack, $prevOrientatedItem, $nextItems, $maxWidth, $maxLength, $maxDepth, $rowLength, $x, $y, $z, $prevPackedItemList, $this->singlePassMode); |
|
310
|
|
|
} |
|
311
|
|
|
|
|
312
|
|
|
/** |
|
313
|
|
|
* As well as purely dimensional constraints, there are other constraints that need to be met |
|
314
|
|
|
* e.g. weight limits or item-specific restrictions (e.g. max <x> batteries per box). |
|
315
|
|
|
*/ |
|
316
|
56 |
|
protected function checkNonDimensionalConstraints(Item $itemToPack, array $layers, int $remainingWeightAllowed): bool |
|
317
|
|
|
{ |
|
318
|
56 |
|
$customConstraintsOK = true; |
|
319
|
56 |
|
if ($itemToPack instanceof ConstrainedItem) { |
|
320
|
1 |
|
$customConstraintsOK = $itemToPack->canBePackedInBox($this->getPackedItemList($layers), $this->box); |
|
321
|
|
|
} |
|
322
|
|
|
|
|
323
|
56 |
|
return $customConstraintsOK && $itemToPack->getWeight() <= $remainingWeightAllowed; |
|
324
|
|
|
} |
|
325
|
|
|
|
|
326
|
|
|
/** |
|
327
|
|
|
* Swap back width/length of the packed items to match orientation of the box if needed. |
|
328
|
|
|
* @param PackedLayer[] $oldLayers |
|
329
|
|
|
*/ |
|
330
|
8 |
|
protected static function rotateLayersNinetyDegrees($oldLayers): array |
|
331
|
|
|
{ |
|
332
|
8 |
|
$newLayers = []; |
|
333
|
8 |
|
foreach ($oldLayers as $originalLayer) { |
|
334
|
8 |
|
$newLayer = new PackedLayer(); |
|
335
|
8 |
|
foreach ($originalLayer->getItems() as $item) { |
|
336
|
8 |
|
$packedItem = new PackedItem($item->getItem(), $item->getY(), $item->getX(), $item->getZ(), $item->getLength(), $item->getWidth(), $item->getDepth()); |
|
337
|
8 |
|
$newLayer->insert($packedItem); |
|
338
|
|
|
} |
|
339
|
8 |
|
$newLayers[] = $newLayer; |
|
340
|
|
|
} |
|
341
|
|
|
|
|
342
|
8 |
|
return $newLayers; |
|
343
|
|
|
} |
|
344
|
|
|
|
|
345
|
|
|
/** |
|
346
|
|
|
* Generate a single list of items packed. |
|
347
|
|
|
*/ |
|
348
|
56 |
|
protected function getPackedItemList(array $layers): PackedItemList |
|
349
|
|
|
{ |
|
350
|
56 |
|
$packedItemList = new PackedItemList(); |
|
351
|
56 |
|
foreach ($layers as $layer) { |
|
352
|
56 |
|
foreach ($layer->getItems() as $packedItem) { |
|
353
|
56 |
|
$packedItemList->insert($packedItem); |
|
354
|
|
|
} |
|
355
|
|
|
} |
|
356
|
|
|
|
|
357
|
56 |
|
return $packedItemList; |
|
358
|
|
|
} |
|
359
|
|
|
|
|
360
|
|
|
/** |
|
361
|
|
|
* Return the current packed depth. |
|
362
|
|
|
* @param PackedLayer[] $layers |
|
363
|
|
|
*/ |
|
364
|
56 |
|
protected static function getCurrentPackedDepth(array $layers): int |
|
365
|
|
|
{ |
|
366
|
56 |
|
$depth = 0; |
|
367
|
56 |
|
foreach ($layers as $layer) { |
|
368
|
43 |
|
$depth += $layer->getDepth(); |
|
369
|
|
|
} |
|
370
|
|
|
|
|
371
|
56 |
|
return $depth; |
|
372
|
|
|
} |
|
373
|
|
|
|
|
374
|
56 |
|
private function getRemainingWeightAllowed(array $layers): int |
|
375
|
|
|
{ |
|
376
|
56 |
|
$remainingWeightAllowed = $this->box->getMaxWeight() - $this->box->getEmptyWeight(); |
|
377
|
56 |
|
foreach ($layers as $layer) { |
|
378
|
56 |
|
$remainingWeightAllowed -= $layer->getWeight(); |
|
379
|
|
|
} |
|
380
|
|
|
|
|
381
|
56 |
|
return $remainingWeightAllowed; |
|
382
|
|
|
} |
|
383
|
|
|
|
|
384
|
|
|
/** |
|
385
|
|
|
* Compare two items to see if they have same dimensions. |
|
386
|
|
|
*/ |
|
387
|
26 |
|
protected static function isSameDimensions(Item $itemA, Item $itemB): bool |
|
388
|
|
|
{ |
|
389
|
26 |
|
if ($itemA === $itemB) { |
|
390
|
19 |
|
return true; |
|
391
|
|
|
} |
|
392
|
10 |
|
$itemADimensions = [$itemA->getWidth(), $itemA->getLength(), $itemA->getDepth()]; |
|
393
|
10 |
|
$itemBDimensions = [$itemB->getWidth(), $itemB->getLength(), $itemB->getDepth()]; |
|
394
|
10 |
|
sort($itemADimensions); |
|
395
|
10 |
|
sort($itemBDimensions); |
|
396
|
|
|
|
|
397
|
10 |
|
return $itemADimensions === $itemBDimensions; |
|
398
|
|
|
} |
|
399
|
|
|
} |
|
400
|
|
|
|