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<?php
/**
*
* Function code for the complex exp() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the exponential of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The exponential of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function exp($complex)
{
$complex = Complex::validateComplexArgument($complex);
if (($complex->getReal() == 0.0) && (\abs($complex->getImaginary()) == M_PI)) {
return new Complex(-1.0, 0.0);
}
$rho = \exp($complex->getReal());
return new Complex(
$rho * \cos($complex->getImaginary()),
$rho * \sin($complex->getImaginary()),
$complex->getSuffix()
);
}