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<?php |
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declare(strict_types=1); |
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namespace KDTree\Structure; |
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use KDTree\Exceptions\{InvalidDimensionsCount, InvalidPointProvided, PointAlreadyExists, PointNotFound}; |
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use KDTree\Interfaces\{KDTreeInterface, NodeInterface, PointInterface, PointsListInterface}; |
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class KDTree implements KDTreeInterface |
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{ |
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/** |
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* @var NodeInterface|null |
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*/ |
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private $root; |
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/** |
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* @var int |
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*/ |
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private $dimensions; |
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/** |
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* @var int |
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*/ |
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private $size = 0; |
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/** |
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* @param int $dimensions |
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* |
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* @throws InvalidDimensionsCount |
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*/ |
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public function __construct(int $dimensions) |
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{ |
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if ($dimensions < 1) { |
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throw new InvalidDimensionsCount(); |
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} |
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$this->dimensions = $dimensions; |
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} |
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/** |
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* @inheritDoc |
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*/ |
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public function isEmpty(): bool |
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{ |
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return null === $this->root; |
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} |
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/** |
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* @inheritDoc |
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*/ |
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public function size(): int |
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{ |
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return $this->size; |
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} |
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/** |
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* @param PointInterface $point |
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* |
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* @return KDTreeInterface |
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* @throws PointAlreadyExists|InvalidPointProvided |
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*/ |
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public function put(PointInterface $point): KDTreeInterface |
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{ |
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$this->root = $this->insertNode($this->root, $point, 0); |
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++$this->size; |
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return $this; |
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} |
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/** |
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* @inheritDoc |
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*/ |
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public function contains(PointInterface $point): bool |
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{ |
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return $this->findPoint($point, $this->root, 0); |
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} |
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/** |
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* @inheritDoc |
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*/ |
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public function points(): PointsListInterface |
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{ |
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return $this->getAllPoints($this->root, new PointsList($this->dimensions)); |
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} |
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/** |
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* @param PointInterface $point |
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* |
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* @return KDTreeInterface |
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* @throws PointNotFound |
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*/ |
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public function delete(PointInterface $point): KDTreeInterface |
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{ |
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$this->root = $this->deletePoint($point, $this->root, 0); |
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--$this->size; |
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return $this; |
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} |
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/** |
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* @inheritDoc |
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*/ |
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public function getDimensions(): int |
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{ |
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return $this->dimensions; |
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} |
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/** |
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* @return NodeInterface|null |
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*/ |
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public function getRoot(): ?NodeInterface |
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{ |
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return $this->root; |
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} |
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/** |
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* @param NodeInterface|null $node |
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* @param PointInterface $point |
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* @param int $cuttingDimension |
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* |
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* @return NodeInterface|null |
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* @throws PointAlreadyExists |
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*/ |
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private function insertNode(?NodeInterface $node, PointInterface $point, int $cuttingDimension): ?NodeInterface |
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{ |
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if (null === $node) { |
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return new Node($point); |
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} |
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if ($node->getPoint()->equals($point)) { |
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throw new PointAlreadyExists(); |
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} |
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$nextDimension = ($cuttingDimension + 1) % $this->dimensions; |
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if ($point->getDAxis($cuttingDimension) < $node->getPoint()->getDAxis($cuttingDimension)) { |
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$node->setLeft($this->insertNode($node->getLeft(), $point, $nextDimension)); |
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} else { |
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$node->setRight($this->insertNode($node->getRight(), $point, $nextDimension)); |
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} |
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return $node; |
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} |
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/** |
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* @param NodeInterface|null $node |
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* @param int $dimension |
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* @param int $cuttingDimension |
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* |
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* @return PointInterface|null |
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*/ |
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private function findMin(?NodeInterface $node, int $dimension, int $cuttingDimension): ?PointInterface |
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{ |
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if (null === $node) { |
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return null; |
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} |
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$nextDimension = ($cuttingDimension + 1) % $this->dimensions; |
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if ($cuttingDimension === $dimension) { |
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if (null === $node->getLeft()) { |
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return $node->getPoint(); |
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} |
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return $this->findMin( |
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$node->getLeft(), |
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$dimension, |
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$nextDimension |
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); |
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} |
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$leftMin = $this->findMin($node->getLeft(), $dimension, $nextDimension); |
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$rightMin = $this->findMin($node->getRight(), $dimension, $nextDimension); |
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$current = $node->getPoint()->getDAxis($dimension); |
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$minimums = [ |
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$this->getPointAxis($leftMin, $dimension) => $leftMin, |
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$this->getPointAxis($rightMin, $dimension) => $rightMin, |
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$current => $node->getPoint(), |
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]; |
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$minKey = min( |
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array_keys( |
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array_filter($minimums) |
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) |
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); |
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return $minimums[$minKey]; |
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} |
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/** |
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* @param PointInterface|null $point |
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* @param int $dimension |
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* |
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* @return float|null |
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*/ |
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private function getPointAxis(?PointInterface $point, int $dimension): ?float |
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{ |
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return null === $point ? null : $point->getDAxis($dimension); |
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} |
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/** |
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* @param PointInterface $point |
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* @param NodeInterface|null $node |
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* @param int $cuttingDimension |
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* |
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* @return NodeInterface|null |
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* @throws PointNotFound |
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*/ |
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private function deletePoint(PointInterface $point, ?NodeInterface $node, int $cuttingDimension): ?NodeInterface |
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{ |
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if (null === $node) { |
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throw new PointNotFound(); |
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} |
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$nextDimension = ($cuttingDimension + 1) % $this->dimensions; |
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if ($node->getPoint()->equals($point)) { |
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if (null !== $node->getRight()) { |
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$this->rebuildFoundNode($node, $node->getRight(), $cuttingDimension); |
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} elseif (null !== $node->getLeft()) { |
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$this->rebuildFoundNode($node, $node->getLeft(), $cuttingDimension); |
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} else { |
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$node = null; |
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} |
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} elseif ($point->getDAxis($cuttingDimension) < $node->getPoint()->getDAxis($cuttingDimension)) { |
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$node->setLeft($this->deletePoint($point, $node->getLeft(), $nextDimension)); |
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} else { |
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$node->setRight($this->deletePoint($point, $node->getRight(), $nextDimension)); |
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} |
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return $node; |
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} |
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/** |
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* @param NodeInterface $node |
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* @param NodeInterface $nextNode |
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* @param int $cuttingDimension |
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* |
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* @throws PointNotFound |
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*/ |
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private function rebuildFoundNode(NodeInterface $node, NodeInterface $nextNode, int $cuttingDimension): void |
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{ |
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$nextDimension = ($cuttingDimension + 1) % $this->dimensions; |
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$node->setPoint( |
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$this->findMin($nextNode, $cuttingDimension, $nextDimension) |
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); |
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$node->setRight($this->deletePoint($node->getPoint(), $nextNode, $nextDimension)); |
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} |
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/** |
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* @param PointInterface $point |
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* @param NodeInterface|null $node |
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* @param int $cuttingDimension |
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* |
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* @return bool |
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*/ |
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private function findPoint(PointInterface $point, ?NodeInterface $node, int $cuttingDimension): bool |
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{ |
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if (null === $node) { |
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return false; |
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} |
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$nextDimension = ($cuttingDimension + 1) % $this->dimensions; |
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if ($node->getPoint()->equals($point)) { |
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return true; |
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} |
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if ($point->getDAxis($cuttingDimension) < $node->getPoint()->getDAxis($cuttingDimension)) { |
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return $this->findPoint($point, $node->getLeft(), $nextDimension); |
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} |
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return $this->findPoint($point, $node->getRight(), $nextDimension); |
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} |
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private function getAllPoints(?NodeInterface $node, PointsListInterface $pointsList): PointsListInterface |
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{ |
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if (null === $node) { |
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return $pointsList; |
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} |
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$pointsList->addPoint($node->getPoint()); |
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if (null !== $node->getLeft()) { |
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$this->getAllPoints($node->getLeft(), $pointsList); |
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} |
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if (null !== $node->getRight()) { |
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$this->getAllPoints($node->getRight(), $pointsList); |
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} |
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return $pointsList; |
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} |
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} |
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