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<?php
/**
*
* Function code for the complex atan() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
//include_once 'Math/Complex.php';
//include_once 'Math/ComplexOp.php';
/**
* Returns the inverse tangent of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The inverse tangent of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function atan($complex): Complex
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->isReal()) {
return new Complex(\atan($complex->getReal()));
}
$t1Value = new Complex(-1 * $complex->getImaginary(), $complex->getReal());
$uValue = new Complex(1, 0);
$d1Value = clone $uValue;
$d1Value = subtract($d1Value, $t1Value);
$d2Value = add($t1Value, $uValue);
$uResult = $d1Value->divideBy($d2Value);
$uResult = ln($uResult);
return new Complex(
(($uResult->getImaginary() == M_PI) ? -M_PI : $uResult->getImaginary()) * -0.5,
$uResult->getReal() * 0.5,
$complex->getSuffix()
);
}
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