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<?php |
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namespace Hotrush\AngularSweep; |
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class AngularSweep |
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{ |
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/** |
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* @var NumbersCollection |
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*/ |
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private $numbersCollection; |
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/** |
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* @var float |
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*/ |
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private $radius; |
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/** |
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* @var array |
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*/ |
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private $distances = []; |
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/** |
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* @var int |
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*/ |
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private $max = 0; |
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/** |
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* @var null|int |
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*/ |
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private $maxCenterKey; |
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/** |
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* AngularSweep constructor. |
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* |
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* @param NumbersCollection $numbersCollection |
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* @param $radius |
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* @throws \Exception |
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*/ |
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public function __construct(NumbersCollection $numbersCollection, $radius) |
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{ |
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$this->numbersCollection = $numbersCollection; |
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$this->radius = floatval($radius); |
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$this->calculateDistances(); |
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$this->findMaxPoint(); |
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} |
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/** |
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* @return int |
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*/ |
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public function getMax() |
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{ |
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return $this->max; |
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} |
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/** |
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* @return ComplexNumber |
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*/ |
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public function getMaxCenter() |
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{ |
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if (is_null($this->maxCenterKey)) { |
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throw new \InvalidArgumentException('No center found.'); |
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} |
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return $this->numbersCollection->get($this->maxCenterKey); |
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} |
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/** |
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* Calculate distances between points. |
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* |
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* @return void |
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*/ |
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private function calculateDistances() |
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{ |
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for ($i = 0; $i < $this->numbersCollection->total() - 1; $i++) { |
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for ($j = $i + 1; $j < $this->numbersCollection->total(); $j++) { |
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$this->distances[$i][$j] = $this->distances[$j][$i] = |
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$this->numbersCollection->get($i)->subtract($this->numbersCollection->get($j))->abs(); |
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} |
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} |
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} |
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/** |
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* Find the max points number inside circle and get the center. |
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* |
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* @return void |
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* @throws \Exception |
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*/ |
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private function findMaxPoint() |
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{ |
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for ($i = 0; $i < $this->numbersCollection->total(); $i++) { |
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$max = $this->getPointsInside($i); |
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if ($max > $this->max) { |
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$this->max = $max; |
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$this->maxCenterKey = $i; |
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} |
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} |
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} |
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/** |
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* Get points number inside circle. |
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* |
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* @param $i |
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* @return int |
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* @throws \Exception |
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*/ |
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private function getPointsInside($i) |
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{ |
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$angles = []; |
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for ($j = 0; $j < $this->numbersCollection->total(); $j++) { |
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if ($i !== $j && $this->distances[$i][$j] <= 2 * $this->radius) { |
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$B = acos($this->distances[$i][$j] / (2 * $this->radius)); |
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$A = $this->numbersCollection->get($j)->subtract($this->numbersCollection->get($i))->arg(); |
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$alpha = $A - $B; |
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$beta = $A + $B; |
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$angles[] = [$alpha, true]; |
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$angles[] = [$beta, false]; |
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} |
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} |
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usort($angles, function ($a, $b) { |
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if ($a === $b) { |
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return 0; |
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} |
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return $a > $b ? 1 : -1; |
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}); |
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$count = 1; $res = 1; |
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foreach ($angles as $angle) { |
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if ($angle[1]) { |
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$count++; |
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} else { |
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$count--; |
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} |
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if ($count > $res) { |
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$res = $count; |
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} |
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} |
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return $res; |
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} |
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} |