30 lines
825 B
PHP
30 lines
825 B
PHP
<?php
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/**
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*
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* Function code for the complex sqrt() 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 square root of a complex number.
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*
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* @param Complex|mixed $complex Complex number or a numeric value.
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* @return Complex The Square root of the complex argument.
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* @throws Exception If argument isn't a valid real or complex number.
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*/
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function sqrt($complex)
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{
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$complex = Complex::validateComplexArgument($complex);
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$theta = theta($complex);
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$delta1 = \cos($theta / 2);
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$delta2 = \sin($theta / 2);
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$rho = \sqrt(rho($complex));
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return new Complex($delta1 * $rho, $delta2 * $rho, $complex->getSuffix());
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}
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