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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 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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/** |
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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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|
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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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|
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return new Complex($delta1 * $rho, $delta2 * $rho, $complex->getSuffix()); |
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} |
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