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<?php |
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namespace Hotrush\AngularSweep; |
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class ComplexNumber |
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{ |
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/** |
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* The real part of the complex number |
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* |
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* @var float |
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* @access private |
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*/ |
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private $_real; |
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/** |
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* The imaginary part of the complex number |
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* |
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* @var float |
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* @access private |
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*/ |
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private $_im; |
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/** |
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* Constructor for ComplexNumberPoint |
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* |
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* @param float $real Real part of the number |
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* @param float $im Imaginary part of the number |
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*/ |
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public function __construct($real, $im) |
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{ |
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$this->_real = floatval($real); |
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$this->_im = floatval($im); |
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} |
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/** |
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* Simple string representation of the number. |
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* |
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* @return string |
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*/ |
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public function toString() |
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{ |
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$r = $this->getReal(); |
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$i = $this->getIm(); |
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$str = $r; |
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$str .= ($i < 0) ? ' - ' : ' + '; |
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$str .= abs($i) . 'i'; |
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return $str; |
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} |
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/** |
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* Returns the square of the magnitude of the number. |
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* |
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* @return float |
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*/ |
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public function abs2() |
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{ |
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return ($this->_real * $this->_real + $this->_im * $this->_im); |
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} |
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/** |
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* Returns the magnitude (also referred as norm) of the number. |
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* |
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* @return float |
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*/ |
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public function abs() |
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{ |
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return sqrt($this->abs2()); |
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} |
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/** |
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* Returns the argument of the complex number. |
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* |
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* @return float A floating point number on success |
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* @throws \Exception |
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*/ |
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public function arg() |
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{ |
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$arg = atan2($this->_im, $this->_real); |
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if (M_PI < $arg || $arg < -1 * M_PI) { |
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throw new \Exception('Argument has an impossible value'); |
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} else { |
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return $arg; |
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} |
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} |
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/** |
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* Returns the angle (argument) associated with the complex number. |
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* |
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* @return mixed A float on success |
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* @throws \Exception |
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*/ |
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public function angle() |
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{ |
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return $this->arg(); |
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} |
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/** |
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* Returns the real part of the complex number. |
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* |
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* @return float |
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*/ |
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public function getReal() |
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{ |
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return $this->_real; |
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} |
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/** |
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* Returns the imaginary part of the complex number. |
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* @return float |
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*/ |
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public function getIm() |
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{ |
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return $this->_im; |
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} |
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/** |
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* Subtract complex number. |
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* |
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* @param ComplexNumber $number |
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* @return ComplexNumber |
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*/ |
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public function subtract(ComplexNumber $number) |
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{ |
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return new ComplexNumber( |
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$this->getReal() - $number->getReal(), |
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$this->getIm() - $number->getIm() |
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); |
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} |
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} |
hotrush /
angular-sweep
