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<?php
/**
*
* Function code for the complex sqrt() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the square root of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The Square root of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function sqrt($complex): Complex
{
$complex = Complex::validateComplexArgument($complex);
$theta = theta($complex);
$delta1 = \cos($theta / 2);
$delta2 = \sin($theta / 2);
$rho = \sqrt(rho($complex));
return new Complex($delta1 * $rho, $delta2 * $rho, $complex->getSuffix());
}