36 lines
1.1 KiB
PHP
36 lines
1.1 KiB
PHP
<?php
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/**
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*
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* Function code for the complex tanh() 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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* Returns the hyperbolic tangent of a complex number.
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*
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* @param Complex|mixed $complex Complex number or a numeric value.
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* @return Complex The hyperbolic tangent of the complex argument.
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* @throws Exception If argument isn't a valid real or complex number.
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* @throws \InvalidArgumentException If function would result in a division by zero
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*/
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function tanh($complex)
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{
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$complex = Complex::validateComplexArgument($complex);
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$real = $complex->getReal();
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$imaginary = $complex->getImaginary();
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$divisor = \cos($imaginary) * \cos($imaginary) + \sinh($real) * \sinh($real);
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if ($divisor == 0.0) {
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throw new \InvalidArgumentException('Division by zero');
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}
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return new Complex(
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\sinh($real) * \cosh($real) / $divisor,
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0.5 * \sin(2 * $imaginary) / $divisor,
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$complex->getSuffix()
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);
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}
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