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- <?php
- /**
- *
- * Function code for the complex atanh() 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 hyperbolic tangent of a complex number.
- *
- * @param Complex|mixed $complex Complex number or a numeric value.
- * @return Complex The inverse hyperbolic tangent of the complex argument.
- * @throws Exception If argument isn't a valid real or complex number.
- */
- function atanh($complex)
- {
- $complex = Complex::validateComplexArgument($complex);
- if ($complex->isReal()) {
- $real = $complex->getReal();
- if ($real >= -1.0 && $real <= 1.0) {
- return new Complex(\atanh($real));
- } else {
- return new Complex(\atanh(1 / $real), (($real < 0.0) ? M_PI_2 : -1 * M_PI_2));
- }
- }
- $iComplex = clone $complex;
- $iComplex = $iComplex->invertImaginary()
- ->reverse();
- return atan($iComplex)
- ->invertReal()
- ->reverse();
- }
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