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<?php |
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|
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/** |
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* |
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* Function code for the complex atanh() function |
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* |
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* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex) |
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* @license https://opensource.org/licenses/MIT MIT |
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*/ |
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namespace Complex; |
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|
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/** |
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* Returns the inverse hyperbolic tangent of a complex number. |
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* |
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* @param Complex|mixed $complex Complex number or a numeric value. |
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* @return Complex The inverse hyperbolic tangent of the complex argument. |
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* @throws Exception If argument isn't a valid real or complex number. |
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*/ |
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function atanh($complex) |
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{ |
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$complex = Complex::validateComplexArgument($complex); |
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|
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if ($complex->isReal()) { |
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$real = $complex->getReal(); |
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if ($real >= -1.0 && $real <= 1.0) { |
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return new Complex(\atanh($real)); |
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} else { |
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return new Complex(\atanh(1 / $real), (($real < 0.0) ? M_PI_2 : -1 * M_PI_2)); |
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} |
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} |
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|
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$iComplex = clone $complex; |
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$iComplex = $iComplex->invertImaginary() |
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->reverse(); |
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return atan($iComplex) |
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->invertReal() |
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->reverse(); |
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} |
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|
