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<?php |
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namespace SixtyNine\DataTypes; |
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use Doctrine\Common\Collections\ArrayCollection; |
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class QuadTree |
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{ |
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const Q_TOP_LEFT = 0; |
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const Q_TOP_RIGHT = 1; |
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const Q_BOTTOM_LEFT = 2; |
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const Q_BOTTOM_RIGHT = 3; |
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/** @var int */ |
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protected $level; |
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/** @var int */ |
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protected $maxObjects; |
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/** @var int */ |
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protected $maxLevels; |
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/** @var ArrayCollection */ |
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protected $objects; |
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/** @var \SixtyNine\DataTypes\Box */ |
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protected $bounds; |
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/** @var bool */ |
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protected $isSplit = false; |
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/** @var array QuadTree[] */ |
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protected $nodes; |
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/** |
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* @param Box $bounds |
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* @param int $level |
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* @param int $maxObjects |
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* @param int $maxLevels |
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*/ |
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public function __construct(Box $bounds, $level = 0, $maxObjects = 10, $maxLevels = 10) |
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{ |
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$this->level = $level; |
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$this->maxObjects = $maxObjects; |
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$this->maxLevels = $maxLevels; |
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$this->objects = new ArrayCollection(); |
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$this->bounds = $bounds; |
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} |
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public function split() |
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{ |
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$this->isSplit = true; |
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$subWidth = (int)($this->bounds->getWidth() / 2); |
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$subHeight = (int)($this->bounds->getHeight() / 2); |
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$x = $this->bounds->getX(); |
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$y = $this->bounds->getY(); |
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$this->nodes = array(); |
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$this->nodes[self::Q_TOP_LEFT] = new Quadtree(new Box($x, $y, $subWidth, $subHeight), $this->level + 1, $this->maxObjects, $this->maxLevels); |
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$this->nodes[self::Q_TOP_RIGHT] = new Quadtree(new Box($x + $subWidth, $y, $subWidth, $subHeight), $this->level + 1, $this->maxObjects, $this->maxLevels); |
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$this->nodes[self::Q_BOTTOM_LEFT] = new Quadtree(new Box($x, $y + $subHeight, $subWidth, $subHeight), $this->level + 1, $this->maxObjects, $this->maxLevels); |
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$this->nodes[self::Q_BOTTOM_RIGHT] = new Quadtree(new Box($x + $subWidth, $y + $subHeight, $subWidth, $subHeight), $this->level + 1, $this->maxObjects, $this->maxLevels); |
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} |
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/** |
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* @param Box $box |
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* @return bool |
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*/ |
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protected function isInTopQuadrant(Box $box) |
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{ |
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$hMidpoint = $this->bounds->getCenter()->getY(); |
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return $box->getY() <= $hMidpoint && $box->getY() + $box->getHeight() <= $hMidpoint; |
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} |
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/** |
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* @param Box $box |
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* @return bool |
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*/ |
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protected function isInBottomQuadrant(Box $box) |
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{ |
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$hMidpoint = $this->bounds->getCenter()->getY(); |
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return $box->getY() >= $hMidpoint; |
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} |
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/** |
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* @param Box $box |
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* @return bool |
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*/ |
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protected function isInLeftQuadrant(Box $box) |
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{ |
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$vMidpoint = $this->bounds->getCenter()->getX(); |
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return $box->getX() <= $vMidpoint && $box->getX() + $box->getWidth() <= $vMidpoint; |
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} |
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/** |
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* @param Box $box |
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* @return bool |
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*/ |
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protected function isInRightQuadrant(Box $box) |
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{ |
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$vMidpoint = $this->bounds->getCenter()->getX(); |
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return $box->getX() >= $vMidpoint; |
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} |
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/** |
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* @param Box $box |
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* @return int |
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*/ |
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public function getIndex(Box $box) |
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{ |
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$topQuadrant = $this->isInTopQuadrant($box); |
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$bottomQuadrant = $this->isInBottomQuadrant($box); |
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$leftQuadrant = $this->isInLeftQuadrant($box); |
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$rightQuadrant = $this->isInRightQuadrant($box); |
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switch (true) { |
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case $leftQuadrant && $topQuadrant: |
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return self::Q_TOP_LEFT; |
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case $rightQuadrant && $topQuadrant: |
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return self::Q_TOP_RIGHT; |
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case $leftQuadrant && $bottomQuadrant: |
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return self::Q_BOTTOM_LEFT; |
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case $rightQuadrant && $bottomQuadrant: |
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return self::Q_BOTTOM_RIGHT; |
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} |
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return -1; |
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} |
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/** |
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* @param Box $box |
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*/ |
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public function insert(Box $box) |
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{ |
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if ($this->isSplit) { |
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$index = $this->getIndex($box); |
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if ($index !== -1) { |
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/** @var QuadTree $node */ |
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$node = $this->nodes[$index]; |
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$node->insert($box); |
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return; |
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} |
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} |
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$this->objects->add($box); |
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if (count($this->objects) > $this->maxObjects && $this->level < $this->maxLevels) { |
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if (!$this->isSplit) { |
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$this->split(); |
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} |
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foreach ($this->objects as $object) { |
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$index = $this->getIndex($object); |
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if ($index !== -1) { |
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$this->objects->removeElement($object); |
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/** @var QuadTree $node */ |
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$node = $this->nodes[$index]; |
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$node->insert($object); |
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} |
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} |
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} |
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} |
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/** |
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* @return int |
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*/ |
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public function count() |
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{ |
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$count = $this->objects->count(); |
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if ($this->isSplit) { |
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/** @var QuadTree $node */ |
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foreach ($this->nodes as $node) { |
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$count += $node->count(); |
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} |
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} |
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return $count; |
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} |
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/** |
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* @param Box $box |
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* @return array |
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*/ |
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public function retrieve(Box $box) |
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{ |
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$return = array(); |
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if (!$this->bounds->intersects($box, false)) { |
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return array(); |
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} |
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/** @var Box $object */ |
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foreach ($this->objects as $object) { |
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if ($object->intersects($box, false)) { |
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$return[] = $object; |
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} |
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} |
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if ($this->isSplit) { |
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/** @var QuadTree $node */ |
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foreach ($this->nodes as $node) { |
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$return = array_merge($return, $node->retrieve($box)); |
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} |
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} |
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return $return; |
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} |
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/** |
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* @param Box $box |
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* @return bool |
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*/ |
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public function collides(Box $box) |
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{ |
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foreach ($this->objects as $object) { |
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if ($box->intersects($object)) { |
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return true; |
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} |
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} |
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if ($this->isSplit) { |
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$index = $this->getIndex($box); |
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$nodes = (-1 === $index) ? $this->nodes : array($this->nodes[$index]); |
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/** @var QuadTree $node */ |
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foreach ($nodes as $node) { |
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if ($node->collides($box)) { |
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return true; |
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} |
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} |
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} |
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return false; |
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} |
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/** |
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* @return string |
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* @codeCoverageIgnore |
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*/ |
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public function __toString() |
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{ |
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$padding = str_repeat('> ', $this->level); |
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$res = sprintf( |
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'%sBounds: %s, objects: %s', |
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$padding, |
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$this->bounds, |
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$this->objects->count() |
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); |
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foreach ($this->objects as $box) { |
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$res .= PHP_EOL . $padding . ' - ' . (string)$box; |
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} |
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if (null !== $this->nodes) { |
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foreach ($this->nodes as $node) { |
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$res .= PHP_EOL . (string)$node; |
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} |
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} |
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return $res; |
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} |
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/** |
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* @return array |
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*/ |
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public function getAllObjects() |
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{ |
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$return = array(); |
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$return = array_merge($return, $this->objects->toArray()); |
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if ($this->isSplit) { |
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/** @var QuadTree $node */ |
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foreach ($this->nodes as $node) { |
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$return = array_merge($return, $node->getAllObjects()); |
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} |
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} |
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return $return; |
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} |
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/** |
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* @return Box |
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*/ |
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public function getBounds() |
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{ |
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return $this->bounds; |
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} |
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} |
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