<?php
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/**
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*
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* Function code for the complex tan() 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 tangent of a complex number.
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*
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* @param Complex|mixed $complex Complex number or a numeric value.
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* @return Complex The tangent of the complex argument.
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* @throws Exception If argument isn't a valid real or complex number.
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* @throws \InvalidArgumentException If function would result in a division by zero
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*/
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function tan($complex)
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{
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$complex = Complex::validateComplexArgument($complex);
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if ($complex->isReal()) {
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return new Complex(\tan($complex->getReal()));
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}
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$real = $complex->getReal();
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$imaginary = $complex->getImaginary();
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$divisor = 1 + \pow(\tan($real), 2) * \pow(\tanh($imaginary), 2);
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if ($divisor == 0.0) {
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throw new \InvalidArgumentException('Division by zero');
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}
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return new Complex(
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\pow(sech($imaginary)->getReal(), 2) * \tan($real) / $divisor,
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\pow(sec($real)->getReal(), 2) * \tanh($imaginary) / $divisor,
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$complex->getSuffix()
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);
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}
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