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<?php |
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namespace SixtyNine\Cloud\Model; |
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use Doctrine\Common\Collections\ArrayCollection; |
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class QuadTree |
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{ |
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const MAX_LEVELS = 10; |
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protected $level; |
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protected $objects; |
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protected $bounds; |
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protected $isSplited = false; |
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/** @var array QuadTree[] */ |
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protected $nodes; |
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public function __construct(Box $bounds, $level = 0) |
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{ |
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$this->level = $level; |
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$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->isSplited = 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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$x = (int)$this->bounds->getX(); |
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$y = (int)$this->bounds->getY(); |
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$this->nodes = array(); |
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$this->nodes[0] = new Quadtree(new Box($x, $y, $subWidth, $subHeight), $this->level + 1); |
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$this->nodes[1] = new Quadtree(new Box($x + $subWidth, $y, $subWidth, $subHeight), $this->level + 1); |
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$this->nodes[2] = new Quadtree(new Box($x, $y + $subHeight, $subWidth, $subHeight), $this->level + 1); |
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$this->nodes[3] = new Quadtree(new Box($x + $subWidth, $y + $subHeight, $subWidth, $subHeight), $this->level + 1); |
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} |
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public function getIndex(Box $box) |
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{ |
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$vMidpoint = $this->bounds->getX() + ($this->bounds->getWidth() / 2); |
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$hMidpoint = $this->bounds->getY() + ($this->bounds->getHeight() / 2); |
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$topQuadrant = ($box->getY() <= $hMidpoint && $box->getY() + $box->getHeight() <= $hMidpoint); |
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$bottomQuadrant = ($box->getY() >= $hMidpoint); |
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$leftQuadrant = $box->getX() <= $vMidpoint && $box->getX() + $box->getWidth() <= $vMidpoint; |
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$rightQuadrant = $box->getX() >= $vMidpoint; |
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// Object can completely fit within the left quadrants |
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if ($leftQuadrant) { |
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if ($topQuadrant) { |
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return 0; |
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} else if ($bottomQuadrant) { |
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return 2; |
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} |
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} else if ($rightQuadrant) { |
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if ($topQuadrant) { |
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return 1; |
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} else if ($bottomQuadrant) { |
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return 3; |
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} |
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} |
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return -1; |
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} |
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public function insert(Box $box) |
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{ |
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$index = $this->getIndex($box); |
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if ($index !== -1 && $this->level < self::MAX_LEVELS) { |
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if (!$this->isSplited) { |
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$this->split(); |
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} |
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$this->nodes[$index]->insert($box); |
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return; |
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} |
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$this->objects->add($box); |
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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->isSplited) { |
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2 |
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foreach ($this->nodes as $node) { |
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2 |
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$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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1 |
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public function retrieve(Box $box) |
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{ |
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1 |
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$return = array(); |
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1 |
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if ($this->isSplited) { |
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$index = $this->getIndex($box); |
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$nodes = (-1 === $index) ? $this->nodes : array($this->nodes[$index]); |
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foreach ($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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$return = array_merge($return, $this->objects->toArray()); |
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return $return; |
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} |
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public function collides(Box $box) |
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{ |
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if ($this->isSplited) { |
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$index = $this->getIndex($box); |
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$nodes = (-1 === $index) ? $this->nodes : array($this->nodes[$index]); |
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foreach ($nodes as $node) { |
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if ($node->collides($box)) { |
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return true; |
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} |
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} |
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} |
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foreach ($this->objects as $object) { |
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if ($box->intersects($object)) { |
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return true; |
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} |
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} |
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return false; |
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} |
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public function __toString() |
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{ |
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$padding = str_repeat(' ', $this->level); |
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$res = sprintf( |
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'%sQuadTree, level: %s, bounds: %s, objects: %s', |
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$padding, |
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$this->level, |
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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 . PHP_EOL; |
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} |
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} |
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