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<?php
/**
*
* Function code for the complex theta() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the theta of a complex number.
* This is the angle in radians from the real axis to the representation of the number in polar coordinates.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return float The theta value of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
if (!function_exists(__NAMESPACE__ . '\\theta')) {
function theta($complex): float
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->getReal() == 0.0) {
if ($complex->isReal()) {
return 0.0;
} elseif ($complex->getImaginary() < 0.0) {
return M_PI / -2;
}
return M_PI / 2;
} elseif ($complex->getReal() > 0.0) {
return \atan($complex->getImaginary() / $complex->getReal());
} elseif ($complex->getImaginary() < 0.0) {
return -(M_PI - \atan(\abs($complex->getImaginary()) / \abs($complex->getReal())));
}
return M_PI - \atan($complex->getImaginary() / \abs($complex->getReal()));
}
}