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<?php /** * * Function code for the complex division operation * * @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex) * @license https://opensource.org/licenses/MIT MIT */ namespace Complex; /** * Divides two or more complex numbers * * @param array of string|integer|float|Complex $complexValues The numbers to divide * @return Complex */ if (!function_exists(__NAMESPACE__ . '\\divideby')) { function divideby(...$complexValues): Complex { if (count($complexValues) < 2) { throw new \Exception('This function requires at least 2 arguments'); } $base = array_shift($complexValues); $result = clone Complex::validateComplexArgument($base); foreach ($complexValues as $complex) { $complex = Complex::validateComplexArgument($complex); if ($result->isComplex() && $complex->isComplex() && $result->getSuffix() !== $complex->getSuffix()) { throw new Exception('Suffix Mismatch'); } if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) { throw new \InvalidArgumentException('Division by zero'); } $delta1 = ($result->getReal() * $complex->getReal()) + ($result->getImaginary() * $complex->getImaginary()); $delta2 = ($result->getImaginary() * $complex->getReal()) - ($result->getReal() * $complex->getImaginary()); $delta3 = ($complex->getReal() * $complex->getReal()) + ($complex->getImaginary() * $complex->getImaginary()); $real = $delta1 / $delta3; $imaginary = $delta2 / $delta3; $result = new Complex( $real, $imaginary, ($imaginary == 0.0) ? null : max($result->getSuffix(), $complex->getSuffix()) ); } return $result; } }