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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    $complexValues   The numbers to divide
 * @return    Complex
 */
function divideby(...$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;
}

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