<?php
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/**
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*
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* Function code for the complex exp() 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 exponential of a complex number.
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*
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* @param Complex|mixed $complex Complex number or a numeric value.
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* @return Complex The exponential of the complex argument.
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* @throws Exception If argument isn't a valid real or complex number.
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*/
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function exp($complex)
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{
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$complex = Complex::validateComplexArgument($complex);
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if (($complex->getReal() == 0.0) && (\abs($complex->getImaginary()) == M_PI)) {
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return new Complex(-1.0, 0.0);
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}
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$rho = \exp($complex->getReal());
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return new Complex(
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$rho * \cos($complex->getImaginary()),
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$rho * \sin($complex->getImaginary()),
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$complex->getSuffix()
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);
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}
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