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                <?php  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                namespace Samsara\Fermat\Coordinates\Values;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use ReflectionException;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Samsara\Exceptions\SystemError\LogicalError\IncompatibleObjectState;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Samsara\Exceptions\UsageError\IntegrityConstraint;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Samsara\Exceptions\UsageError\OptionalExit;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Samsara\Fermat\Core\Numbers;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Samsara\Fermat\Coordinates\Types\Base\Interfaces\Coordinates\CoordinateInterface;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Samsara\Fermat\Coordinates\Types\Base\Interfaces\Coordinates\ThreeDCoordinateInterface;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Samsara\Fermat\Coordinates\Types\Base\Interfaces\Coordinates\TwoDCoordinateInterface;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Samsara\Fermat\Coordinates\Types\Coordinate;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Samsara\Fermat\Core\Values\ImmutableDecimal;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class CartesianCoordinate extends Coordinate implements TwoDCoordinateInterface, ThreeDCoordinateInterface  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * CartesianCoordinate constructor.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @param $x  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @param null $y  | 
            
                            
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                     * @param null $z  | 
            
                            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             294                          | 
                
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                    public function __construct($x, $y = null, $z = null)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             294                          | 
                
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                        $data = [  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            'x' => $x  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        ];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             294                          | 
                
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                        if (!is_null($y)) { | 
            
                            
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                             294                          | 
                
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                            $data['y'] = $y;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             294                          | 
                
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                            if (!is_null($z)) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             294                          | 
                
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                                $data['z'] = $z;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             8                          | 
                
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                        } else if (!is_null($z)) { | 
            
                            
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                            $data['y'] = $z;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             294                          | 
                
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                        parent::__construct($data);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             294                          | 
                
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                        if (!array_key_exists('y', $this->parameters)) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $this->parameters['y'] = 1;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             294                          | 
                
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                        if (!array_key_exists('z', $this->parameters)) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             288                          | 
                
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                            $this->parameters['z'] = 2;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @param $axis  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @return ImmutableDecimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @throws ReflectionException  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @throws IntegrityConstraint  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             280                          | 
                
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                    public function getAxis($axis): ImmutableDecimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             280                          | 
                
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                        if (is_int($axis)) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $axisIndex = $axis;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        } else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             280                          | 
                
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                            $axisIndex = $this->parameters[$axis];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             280                          | 
                
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                        if (!$this->values->hasIndex($axisIndex)) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            return Numbers::makeZero();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             280                          | 
                
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                        return $this->getAxisByIndex($axisIndex);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @return ImmutableDecimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             280                          | 
                
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                    public function getDistanceFromOrigin(?int $scale = null): ImmutableDecimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             280                          | 
                
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                        $scale = $scale ?? 10;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             280                          | 
                
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                        $intScale = $scale + 2;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             280                          | 
                
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                        $x = 0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             280                          | 
                
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                        if ($this->numberOfDimensions() > 1) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             280                          | 
                
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                            $y = 0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        } else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $y = null;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             280                          | 
                
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                        if ($this->numberOfDimensions() > 2) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $z = 0;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        } else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             278                          | 
                
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                            $z = null;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             280                          | 
                
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                        return $this->distanceTo(new CartesianCoordinate($x, $y, $z), $intScale)->roundToScale($scale);  | 
            
                            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @param CoordinateInterface $coordinate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    102
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                     * @return ImmutableDecimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    103
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                     * @throws IntegrityConstraint  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    104
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                     * @throws ReflectionException  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    105
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    106
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                             288                          | 
                
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                    public function distanceTo(CoordinateInterface $coordinate, ?int $scale = null): ImmutableDecimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    107
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                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    108
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                             288                          | 
                
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                        $scale = $scale ?? 10;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    109
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                             288                          | 
                
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                        $intScale = $scale + 2;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    110
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                    111
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                             288                          | 
                
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                        if (!($coordinate instanceof CartesianCoordinate)) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    112
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                             6                          | 
                
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                            $coordinate = $coordinate->asCartesian();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    113
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    114
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                    115
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                             288                          | 
                
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                        $n = Numbers::makeZero($intScale);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    117
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                             288                          | 
                
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                        $firstValues = ($this->numberOfDimensions() >= $coordinate->numberOfDimensions()) ? $this->axesValues() : $coordinate->axesValues();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    118
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                             288                          | 
                
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                        $secondValues = ($this->numberOfDimensions() >= $coordinate->numberOfDimensions()) ? $coordinate->axesValues() : $this->axesValues();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    119
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                    120
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                             288                          | 
                
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                        foreach ($firstValues as $index => $value) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    121
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                             288                          | 
                
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                            $n = $n->add($secondValues[$index]->subtract($value)->pow(2));  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    122
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    123
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                    124
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                             288                          | 
                
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                        return $n->sqrt($intScale)->roundToScale($scale);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    125
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    127
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    128
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                     * @return CartesianCoordinate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    129
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    130
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                             2                          | 
                
                 | 
                    public function asCartesian(): CartesianCoordinate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    131
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    132
                 | 
                                    
                             2                          | 
                
                 | 
                        return $this;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    133
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                                                     | 
                
                 | 
                     * @return ImmutableDecimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                     * @throws IncompatibleObjectState  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                             4                          | 
                
                 | 
                    public function getPolarAngle(): ImmutableDecimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                             4                          | 
                
                 | 
                        if ($this->numberOfDimensions() === 2) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                             4                          | 
                
                 | 
                            return $this->asPolar()->getPolarAngle();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                             2                          | 
                
                 | 
                        if ($this->numberOfDimensions() === 3) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                             2                          | 
                
                 | 
                            return $this->asSpherical()->getPolarAngle();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                             2                          | 
                
                 | 
                        throw new IncompatibleObjectState(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                            'Can only get a polar angle for a CartesianCoordinate of 2 or 3 dimensions.',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                            'Ensure the CartesianCoordinate has 2 or 3 dimensions.',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                            'Cannot get the polar angle for a CartesianCoordinate unless it has exactly 2 or 3 dimensions.'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                        );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                     * @return ImmutableDecimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                     * @throws IncompatibleObjectState  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                             2                          | 
                
                 | 
                    public function getPlanarAngle(): ImmutableDecimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                             2                          | 
                
                 | 
                        if ($this->numberOfDimensions() === 2) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                             2                          | 
                
                 | 
                            return $this->getPolarAngle();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                             2                          | 
                
                 | 
                        if ($this->numberOfDimensions() === 3) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                             2                          | 
                
                 | 
                            return $this->asSpherical()->getPlanarAngle();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                             2                          | 
                
                 | 
                        throw new IncompatibleObjectState(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                            'Can only get a polar angle for a CartesianCoordinate of 2 or 3 dimensions.',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                            'Ensure the CartesianCoordinate has 2 or 3 dimensions.',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                            'Cannot get the polar angle for a CartesianCoordinate unless it has exactly 2 or 3 dimensions.'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                        );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                     * @return SphericalCoordinate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                     * @throws IncompatibleObjectState  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                             6                          | 
                
                 | 
                    public function asSpherical(): SphericalCoordinate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                             6                          | 
                
                 | 
                        if ($this->numberOfDimensions() !== 3) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                             2                          | 
                
                 | 
                            throw new IncompatibleObjectState(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                                'Can only get SphericalCoordinate for a CartesianCoordinate of 3 dimensions.',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                                'Ensure the CartesianCoordinate has 3 dimensions.',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                                'Cannot get the SphericalCoordinate for a CartesianCoordinate unless it has exactly 3 dimensions.'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                                                     | 
                
                 | 
                            );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                             6                          | 
                
                 | 
                        $rho = $this->getDistanceFromOrigin();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                             6                          | 
                
                 | 
                        $theta = $this->getAxis('y')->divide($this->getAxis('x'))->arctan(); | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                             6                          | 
                
                 | 
                        $phi = $this->getAxis('z')->divide($rho)->arccos(); | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                             6                          | 
                
                 | 
                        return new SphericalCoordinate($rho, $theta, $phi);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                                                     | 
                
                 | 
                     * @return CylindricalCoordinate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                                                     | 
                
                 | 
                     * @throws IncompatibleObjectState  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    201
                 | 
                                    
                                                     | 
                
                 | 
                     * @throws IntegrityConstraint  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    202
                 | 
                                    
                                                     | 
                
                 | 
                     * @throws ReflectionException  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    203
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    204
                 | 
                                    
                             2                          | 
                
                 | 
                    public function asCylindrical(): CylindricalCoordinate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    205
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    206
                 | 
                                    
                             2                          | 
                
                 | 
                        if ($this->numberOfDimensions() !== 3) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    207
                 | 
                                    
                             2                          | 
                
                 | 
                            throw new IncompatibleObjectState(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    208
                 | 
                                    
                                                     | 
                
                 | 
                                'Can only get CylindricalCoordinate for a CartesianCoordinate of 3 dimensions.',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                                'Ensure the CartesianCoordinate has 3 dimensions.',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                                'Cannot get the CylindricalCoordinate for a CartesianCoordinate unless it has exactly 3 dimensions.'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    211
                 | 
                                    
                                                     | 
                
                 | 
                            );  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    212
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    213
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    214
                 | 
                                    
                             2                          | 
                
                 | 
                        $z = $this->getAxis('z'); | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    215
                 | 
                                    
                             2                          | 
                
                 | 
                        $r = $this->distanceTo(new CartesianCoordinate(0, 0, $z));  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    216
                 | 
                                    
                             2                          | 
                
                 | 
                        $theta = $this->getAxis('y')->divide($this->getAxis('x'))->arctan(); | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    217
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    218
                 | 
                                    
                             2                          | 
                
                 | 
                        return new CylindricalCoordinate($r, $theta, $z);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    219
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    220
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    221
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    222
                 | 
                                    
                                                     | 
                
                 | 
                     * @param int|null $scale  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    223
                 | 
                                    
                                                     | 
                
                 | 
                     * @return PolarCoordinate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    224
                 | 
                                    
                                                     | 
                
                 | 
                     * @throws IncompatibleObjectState  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    225
                 | 
                                    
                                                     | 
                
                 | 
                     * @throws IntegrityConstraint  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    226
                 | 
                                    
                                                     | 
                
                 | 
                     * @throws OptionalExit  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    227
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                        
            
                                    
            
            
                | 
                    228
                 | 
                                    
                             278                          | 
                
                 | 
                    public function asPolar(?int $scale = null): PolarCoordinate  | 
            
            
                                                        
            
                                    
            
            
                | 
                    229
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                        
            
                                    
            
            
                | 
                    230
                 | 
                                    
                             278                          | 
                
                 | 
                        $scale = $scale ?? 10;  | 
            
            
                                                        
            
                                    
            
            
                | 
                    231
                 | 
                                    
                             278                          | 
                
                 | 
                        $intScale = $scale + 3;  | 
            
            
                                                        
            
                                    
            
            
                | 
                    232
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    233
                 | 
                                    
                             278                          | 
                
                 | 
                        if ($this->numberOfDimensions() !== 2) { | 
            
            
                                                        
            
                                    
            
            
                | 
                    234
                 | 
                                    
                             2                          | 
                
                 | 
                            throw new IncompatibleObjectState(  | 
            
            
                                                        
            
                                    
            
            
                | 
                    235
                 | 
                                    
                                                     | 
                
                 | 
                                'Can only get PolarCoordinate for a CartesianCoordinate of 2 dimensions.',  | 
            
            
                                                        
            
                                    
            
            
                | 
                    236
                 | 
                                    
                                                     | 
                
                 | 
                                'Ensure the CartesianCoordinate has 2 dimensions.',  | 
            
            
                                                        
            
                                    
            
            
                | 
                    237
                 | 
                                    
                                                     | 
                
                 | 
                                'Cannot get the PolarCoordinate for a CartesianCoordinate unless it has exactly 2 dimensions.'  | 
            
            
                                                        
            
                                    
            
            
                | 
                    238
                 | 
                                    
                                                     | 
                
                 | 
                            );  | 
            
            
                                                        
            
                                    
            
            
                | 
                    239
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                        
            
                                    
            
            
                | 
                    240
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    241
                 | 
                                    
                             276                          | 
                
                 | 
                        $rho = $this->getDistanceFromOrigin($intScale);  | 
            
            
                                                        
            
                                    
            
            
                | 
                    242
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    243
                 | 
                                    
                             276                          | 
                
                 | 
                        if ($rho->isEqual(0)) { | 
            
            
                                                        
            
                                    
            
            
                | 
                    244
                 | 
                                    
                             2                          | 
                
                 | 
                            throw new OptionalExit(  | 
            
            
                                                        
            
                                    
            
            
                | 
                    245
                 | 
                                    
                                                     | 
                
                 | 
                                'Attempted to convert a CartesianCoordinate at the origin into PolarCoordinate',  | 
            
            
                                                        
            
                                    
            
            
                | 
                    246
                 | 
                                    
                                                     | 
                
                 | 
                                'Do not attempt to do this.',  | 
            
            
                                                        
            
                                    
            
            
                | 
                    247
                 | 
                                    
                                                     | 
                
                 | 
                                'The origin has an undefined polar angle in the polar coordinate system.'  | 
            
            
                                                        
            
                                    
            
            
                | 
                    248
                 | 
                                    
                                                     | 
                
                 | 
                            );  | 
            
            
                                                        
            
                                    
            
            
                | 
                    249
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                        
            
                                    
            
            
                | 
                    250
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    251
                 | 
                                    
                             274                          | 
                
                 | 
                        if ($this->getAxis('x')->isEqual(0)) { | 
            
            
                                                        
            
                                    
            
            
                | 
                    252
                 | 
                                    
                             20                          | 
                
                 | 
                            $theta = Numbers::makePi($intScale)->divide(2);  | 
            
            
                                                        
            
                                    
            
            
                | 
                    253
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    254
                 | 
                                    
                             20                          | 
                
                 | 
                            if ($this->getAxis('y')->isNegative()) { | 
            
            
                                                        
            
                                    
            
            
                | 
                    255
                 | 
                                    
                             20                          | 
                
                 | 
                                $theta = $theta->multiply(-1);  | 
            
            
                                                        
            
                                    
            
            
                | 
                    256
                 | 
                                    
                                                     | 
                
                 | 
                            }  | 
            
            
                                                        
            
                                    
            
            
                | 
                    257
                 | 
                                    
                                                     | 
                
                 | 
                        } else { | 
            
            
                                                        
            
                                    
            
            
                | 
                    258
                 | 
                                    
                                                     | 
                
                 | 
                            /** @var ImmutableDecimal $theta */  | 
            
            
                                                        
            
                                    
            
            
                | 
                    259
                 | 
                                    
                             274                          | 
                
                 | 
                            $theta = $this->getAxis('y')->divide($this->getAxis('x'), $intScale)->arctan($intScale); | 
            
            
                                                        
            
                                    
            
            
                | 
                    260
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                        
            
                                    
            
            
                | 
                    261
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    262
                 | 
                                    
                             274                          | 
                
                 | 
                        return new PolarCoordinate($rho->roundToScale($scale), $theta->roundToScale($scale));  | 
            
            
                                                        
            
                                    
            
            
                | 
                    263
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                        
            
                                    
            
            
                | 
                    264
                 | 
                                    
                                                     | 
                
                 | 
                }  |