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<?php |
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namespace BenTools\SplitTestAnalyzer; |
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final class SplitTestAnalyzer implements \IteratorAggregate |
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{ |
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const DEFAULT_SAMPLES = 5000; |
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/** |
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* @var int |
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*/ |
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private $numSamples; |
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/** |
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* @var Variation[] |
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*/ |
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private $variations = []; |
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/** |
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* @var array |
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*/ |
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private $result; |
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/** |
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* BayesianPerformance constructor. |
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* @param int $numSamples |
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*/ |
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private function __construct(int $numSamples = self::DEFAULT_SAMPLES) |
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{ |
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$this->numSamples = $numSamples; |
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} |
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/** |
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* @param Variation[] ...$variations |
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* @throws \InvalidArgumentException |
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*/ |
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private function setVariations(Variation ...$variations) |
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{ |
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foreach ($variations as $variation) { |
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if (array_key_exists($variation->getKey(), $this->variations)) { |
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throw new \InvalidArgumentException(sprintf('Variation %s already exists into the stack.', $variation->getKey())); |
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} |
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$this->variations[$variation->getKey()] = $variation; |
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} |
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} |
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/** |
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* @param int $numSamples |
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* @return SplitTestAnalyzer |
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*/ |
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public static function create(int $numSamples = self::DEFAULT_SAMPLES): self |
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{ |
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return new self($numSamples); |
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} |
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/** |
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* @param Variation[] ...$variations |
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* @return SplitTestAnalyzer |
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* @throws \InvalidArgumentException |
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*/ |
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public function withVariations(Variation ...$variations): self |
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{ |
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if (count($variations) < 2) { |
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throw new \InvalidArgumentException("At least 2 variations to compare are expected."); |
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} |
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$object = ([] === $this->variations) ? $this : clone $this; |
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$object->reset(); |
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$object->setVariations(...$variations); |
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return $object; |
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} |
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/** |
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* @param Variation $variation |
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* @return float |
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*/ |
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public function getVariationProbability(Variation $variation): float |
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{ |
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$this->check($variation); |
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$this->computeProbabilities(); |
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return $this->result[$variation->getKey()]; |
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} |
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/** |
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* @param int $sort |
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* @return Variation[] |
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*/ |
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public function getOrderedVariations(int $sort = SORT_DESC): array |
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{ |
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$this->computeProbabilities(); |
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$variations = $this->variations; |
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uasort($variations, function (Variation $variationA, Variation $variationB) use ($sort) { |
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if (SORT_DESC === $sort) { |
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return $this->getVariationProbability($variationB) <=> $this->getVariationProbability($variationA); |
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} else { |
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return $this->getVariationProbability($variationA) <=> $this->getVariationProbability($variationB); |
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} |
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}); |
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return $variations; |
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} |
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/** |
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* @return Variation|null |
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*/ |
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public function getBestVariation(): ?Variation |
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{ |
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$variations = $this->getOrderedVariations(SORT_DESC); |
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$best = reset($variations); |
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if ($best instanceof Variation && 0 === $best->getNbSuccesses()) { |
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return null; |
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} |
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return $best; |
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} |
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/** |
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* @return array |
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*/ |
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public function getResult() |
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{ |
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$this->computeProbabilities(); |
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return $this->result; |
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} |
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public function getIterator() |
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{ |
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$result = $this->getResult(); |
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yield from $result; |
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} |
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/** |
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* @return mixed |
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* @throws \Exception |
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* @throws \InvalidArgumentException |
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*/ |
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private function computeProbabilities() |
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{ |
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if (count($this->variations) < 2) { |
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throw new \InvalidArgumentException("At least 2 variations to compare are expected."); |
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} |
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if (null !== $this->result) { |
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return; |
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} |
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$variations = $this->variations; |
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$winnerIndex = null; |
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$numRows = count($variations); |
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$winCount = array_combine(array_keys($variations), array_fill(0, $numRows, 0)); |
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for ($i = 0; $i < $this->numSamples; $i++) { |
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$winnerValue = 0; |
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foreach ($variations as $v => $variation) { |
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$x = $this->getSample($variation->getNbSuccesses(), $variation->getNbFailures()); |
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if ($x > $winnerValue) { |
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$winnerIndex = $v; |
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$winnerValue = $x; |
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} |
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} |
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if (null !== $winnerIndex) { |
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$winCount[$winnerIndex]++; |
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} |
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} |
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foreach ($variations as $v => $variation) { |
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$this->result[$v] = round($winCount[$v] / ($this->numSamples / 100)); |
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} |
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} |
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/** |
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* @param Variation[] ...$variations |
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* @throws \InvalidArgumentException |
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*/ |
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private function check(Variation ...$variations) |
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{ |
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foreach ($variations as $variation) { |
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if (!in_array($variation, $this->variations)) { |
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throw new \InvalidArgumentException(sprintf('Variation %s not found in the stack.', $variation->getKey())); |
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} |
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} |
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} |
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/** |
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* @return float |
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* @throws \Exception |
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*/ |
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private function getMathRandom(): float |
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{ |
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return (float) random_int(0, PHP_INT_MAX) / PHP_INT_MAX; |
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} |
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/** |
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* @return float |
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* @throws \Exception |
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*/ |
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private function getRandn(): float |
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{ |
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$u = $v = $x = $y = $q = null; |
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do { |
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$u = $this->getMathRandom(); |
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$v = 1.7156 * ($this->getMathRandom() - 0.5); |
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$x = $u - 0.449871; |
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$y = abs($v) + 0.386595; |
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$q = $x * $x + $y * (0.19600 * $y - 0.25472 * $x); |
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} while ($q > 0.27597 && ($q > 0.27846 || $v * $v > -4 * log($u) * $u * $u)); |
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return $v / $u; |
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} |
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/** |
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* @param float $shape |
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* @return float |
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* @throws \Exception |
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*/ |
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private function getRandg(float $shape): float |
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{ |
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if (0.0 === $shape) { |
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return 0; |
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} |
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$oalph = $shape; |
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$a1 = $a2 = $u = $v = $x = null; |
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if (!$shape) { |
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$shape = 1; |
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} |
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if ($shape < 1) { |
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$shape += 1; |
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} |
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$a1 = $shape - 1 / 3; |
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$a2 = 1 / sqrt(9 * $a1); |
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do { |
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do { |
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$x = $this->getRandn(); |
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$v = 1 + $a2 * $x; |
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} while ($v <= 0); |
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$v = $v * $v * $v; |
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$u = $this->getMathRandom(); |
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} while ($u > 1 - 0.331 * pow($x, 4) && |
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log($u) > 0.5 * $x * $x + $a1 * (1 - $v + log($v))); |
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// alpha > 1 |
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if ($shape == $oalph) { |
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return $a1 * $v; |
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} |
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// alpha < 1 |
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do { |
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$u = $this->getMathRandom(); |
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} while ($u === 0); |
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return pow($u, 1 / $oalph) * $a1 * $v; |
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} |
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/** |
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* @param float $alpha |
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* @param float $beta |
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* @return float |
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* @throws \Exception |
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*/ |
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private function getSample(float $alpha, float $beta): float |
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{ |
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if (0.0 === $alpha) { |
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return 0.0; |
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} |
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$u = $this->getRandg($alpha); |
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return $u / ($u + $this->getRandg($beta)); |
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} |
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private function reset() |
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{ |
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$this->variations = []; |
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$this->result = null; |
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} |
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} |
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Methods can only be called on objects. This check looks for methods being called on variables that have been inferred to never be objects.