<?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 $complexValues The numbers to divide
|
* @return Complex
|
*/
|
function divideinto(...$complexValues)
|
{
|
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() !== $complex->getSuffix()) {
|
throw new Exception('Suffix Mismatch');
|
}
|
if ($result->getReal() == 0.0 && $result->getImaginary() == 0.0) {
|
throw new \InvalidArgumentException('Division by zero');
|
}
|
|
$delta1 = ($complex->getReal() * $result->getReal()) +
|
($complex->getImaginary() * $result->getImaginary());
|
$delta2 = ($complex->getImaginary() * $result->getReal()) -
|
($complex->getReal() * $result->getImaginary());
|
$delta3 = ($result->getReal() * $result->getReal()) +
|
($result->getImaginary() * $result->getImaginary());
|
|
$real = $delta1 / $delta3;
|
$imaginary = $delta2 / $delta3;
|
|
$result = new Complex(
|
$real,
|
$imaginary,
|
($imaginary == 0.0) ? null : max($result->getSuffix(), $complex->getSuffix())
|
);
|
}
|
|
return $result;
|
}
|