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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 theta() 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 theta of a complex number. |
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* This is the angle in radians from the real axis to the representation of the number in polar coordinates. |
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* |
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* @param Complex|mixed $complex Complex number or a numeric value. |
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* @return float The theta value of the complex argument. |
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* @throws Exception If argument isn't a valid real or complex number. |
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*/ |
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function theta($complex) |
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{ |
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$complex = Complex::validateComplexArgument($complex); |
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|
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if ($complex->getReal() == 0.0) { |
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if ($complex->isReal()) { |
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return 0.0; |
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} elseif ($complex->getImaginary() < 0.0) { |
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return M_PI / -2; |
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} |
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return M_PI / 2; |
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} elseif ($complex->getReal() > 0.0) { |
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return \atan($complex->getImaginary() / $complex->getReal()); |
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} elseif ($complex->getImaginary() < 0.0) { |
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return -(M_PI - \atan(\abs($complex->getImaginary()) / \abs($complex->getReal()))); |
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} |
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|
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return M_PI - \atan($complex->getImaginary() / \abs($complex->getReal())); |
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} |
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