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<?php /** * * Function code for the complex acos() function * * @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex) * @license https://opensource.org/licenses/MIT MIT */ namespace Complex; /** * Returns the inverse cosine of a complex number. * * @param Complex|mixed $complex Complex number or a numeric value. * @return Complex The inverse cosine of the complex argument. * @throws Exception If argument isn't a valid real or complex number. */ function acos($complex): Complex { $complex = Complex::validateComplexArgument($complex); $square = clone $complex; $square = multiply($square, $complex); $invsqrt = new Complex(1.0); $invsqrt = subtract($invsqrt, $square); $invsqrt = sqrt($invsqrt); $adjust = new Complex( $complex->getReal() - $invsqrt->getImaginary(), $complex->getImaginary() + $invsqrt->getReal() ); $log = ln($adjust); return new Complex( $log->getImaginary(), -1 * $log->getReal() ); }