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- <?php
- /**
- *
- * Function code for the complex asin() 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 sine of a complex number.
- *
- * @param Complex|mixed $complex Complex number or a numeric value.
- * @return Complex The inverse sine of the complex argument.
- * @throws Exception If argument isn't a valid real or complex number.
- */
- function asin($complex)
- {
- $complex = Complex::validateComplexArgument($complex);
- $square = multiply($complex, $complex);
- $invsqrt = new Complex(1.0);
- $invsqrt = subtract($invsqrt, $square);
- $invsqrt = sqrt($invsqrt);
- $adjust = new Complex(
- $invsqrt->getReal() - $complex->getImaginary(),
- $invsqrt->getImaginary() + $complex->getReal()
- );
- $log = ln($adjust);
- return new Complex(
- $log->getImaginary(),
- -1 * $log->getReal()
- );
- }
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