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<?php |
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declare(strict_types=1); |
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namespace Phpml\Clustering\KMeans; |
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use InvalidArgumentException; |
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use LogicException; |
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use Phpml\Clustering\KMeans; |
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use SplObjectStorage; |
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class Space extends SplObjectStorage |
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{ |
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/** |
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* @var int |
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*/ |
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protected $dimension; |
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public function __construct(int $dimension) |
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{ |
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if ($dimension < 1) { |
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throw new LogicException('a space dimension cannot be null or negative'); |
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} |
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$this->dimension = $dimension; |
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} |
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public function toArray(): array |
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{ |
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$points = []; |
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/** @var Point $point */ |
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foreach ($this as $point) { |
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$points[] = $point->toArray(); |
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} |
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return ['points' => $points]; |
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} |
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/** |
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* @param mixed $label |
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*/ |
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public function newPoint(array $coordinates, $label = null): Point |
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{ |
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if (count($coordinates) !== $this->dimension) { |
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throw new LogicException('('.implode(',', $coordinates).') is not a point of this space'); |
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} |
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return new Point($coordinates, $label); |
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} |
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/** |
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* @param mixed $label |
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* @param mixed $data |
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*/ |
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public function addPoint(array $coordinates, $label = null, $data = null): void |
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{ |
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$this->attach($this->newPoint($coordinates, $label), $data); |
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} |
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/** |
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* @param object $point |
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* @param mixed $data |
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*/ |
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public function attach($point, $data = null): void |
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{ |
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if (!$point instanceof Point) { |
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throw new InvalidArgumentException('can only attach points to spaces'); |
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} |
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parent::attach($point, $data); |
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} |
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public function getDimension(): int |
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{ |
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return $this->dimension; |
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} |
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/** |
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* @return array|bool |
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*/ |
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public function getBoundaries() |
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{ |
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if (count($this) === 0) { |
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return false; |
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} |
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$min = $this->newPoint(array_fill(0, $this->dimension, null)); |
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$max = $this->newPoint(array_fill(0, $this->dimension, null)); |
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/** @var Point $point */ |
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foreach ($this as $point) { |
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for ($n = 0; $n < $this->dimension; ++$n) { |
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if ($min[$n] === null || $min[$n] > $point[$n]) { |
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$min[$n] = $point[$n]; |
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} |
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if ($max[$n] === null || $max[$n] < $point[$n]) { |
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$max[$n] = $point[$n]; |
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} |
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} |
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} |
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return [$min, $max]; |
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} |
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public function getRandomPoint(Point $min, Point $max): Point |
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{ |
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$point = $this->newPoint(array_fill(0, $this->dimension, null)); |
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for ($n = 0; $n < $this->dimension; ++$n) { |
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$point[$n] = random_int($min[$n], $max[$n]); |
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} |
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return $point; |
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} |
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/** |
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* @return Cluster[] |
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*/ |
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public function cluster(int $clustersNumber, int $initMethod = KMeans::INIT_RANDOM): array |
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{ |
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$clusters = $this->initializeClusters($clustersNumber, $initMethod); |
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do { |
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} while (!$this->iterate($clusters)); |
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return $clusters; |
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} |
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/** |
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* @return Cluster[] |
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*/ |
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protected function initializeClusters(int $clustersNumber, int $initMethod): array |
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{ |
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switch ($initMethod) { |
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case KMeans::INIT_RANDOM: |
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$clusters = $this->initializeRandomClusters($clustersNumber); |
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break; |
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case KMeans::INIT_KMEANS_PLUS_PLUS: |
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$clusters = $this->initializeKMPPClusters($clustersNumber); |
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break; |
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default: |
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return []; |
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} |
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$clusters[0]->attachAll($this); |
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return $clusters; |
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} |
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/** |
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* @param Cluster[] $clusters |
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*/ |
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protected function iterate(array $clusters): bool |
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{ |
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$convergence = true; |
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$attach = new SplObjectStorage(); |
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$detach = new SplObjectStorage(); |
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foreach ($clusters as $cluster) { |
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foreach ($cluster as $point) { |
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$closest = $point->getClosest($clusters); |
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if ($closest === null) { |
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continue; |
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} |
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if ($closest !== $cluster) { |
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$attach[$closest] ?? $attach[$closest] = new SplObjectStorage(); |
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$detach[$cluster] ?? $detach[$cluster] = new SplObjectStorage(); |
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$attach[$closest]->attach($point); |
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$detach[$cluster]->attach($point); |
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$convergence = false; |
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} |
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} |
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} |
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/** @var Cluster $cluster */ |
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foreach ($attach as $cluster) { |
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$cluster->attachAll($attach[$cluster]); |
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} |
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/** @var Cluster $cluster */ |
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foreach ($detach as $cluster) { |
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$cluster->detachAll($detach[$cluster]); |
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} |
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foreach ($clusters as $cluster) { |
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$cluster->updateCentroid(); |
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} |
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return $convergence; |
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} |
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/** |
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* @return Cluster[] |
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*/ |
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protected function initializeKMPPClusters(int $clustersNumber): array |
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{ |
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$clusters = []; |
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$this->rewind(); |
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/** @var Point $current */ |
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$current = $this->current(); |
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$clusters[] = new Cluster($this, $current->getCoordinates()); |
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$distances = new SplObjectStorage(); |
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for ($i = 1; $i < $clustersNumber; ++$i) { |
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$sum = 0; |
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/** @var Point $point */ |
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foreach ($this as $point) { |
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$closest = $point->getClosest($clusters); |
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if ($closest === null) { |
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continue; |
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} |
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$distance = $point->getDistanceWith($closest); |
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$sum += $distances[$point] = $distance; |
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} |
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$sum = random_int(0, (int) $sum); |
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/** @var Point $point */ |
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foreach ($this as $point) { |
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$sum -= $distances[$point]; |
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if ($sum > 0) { |
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continue; |
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} |
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$clusters[] = new Cluster($this, $point->getCoordinates()); |
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break; |
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} |
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} |
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return $clusters; |
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} |
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/** |
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* @return Cluster[] |
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*/ |
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private function initializeRandomClusters(int $clustersNumber): array |
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{ |
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$clusters = []; |
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[$min, $max] = $this->getBoundaries(); |
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for ($n = 0; $n < $clustersNumber; ++$n) { |
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$clusters[] = new Cluster($this, $this->getRandomPoint($min, $max)->getCoordinates()); |
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} |
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return $clusters; |
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} |
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} |
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