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                <?php  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                namespace Samsara\Fermat\Values\Geometry\CoordinateSystems;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Samsara\Fermat\Types\Base\Interfaces\Coordinates\CoordinateInterface;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Samsara\Fermat\Types\Base\Interfaces\Coordinates\ThreeDCoordinateInterface;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Samsara\Fermat\Types\Coordinate;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use Samsara\Fermat\Values\ImmutableDecimal;  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                class SphericalCoordinate extends Coordinate implements ThreeDCoordinateInterface  | 
            
            
                                                                        
                            
            
                                    
            
            
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                { | 
            
            
                                                                        
                            
            
                                    
            
            
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                    /** @var CartesianCoordinate */  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    protected $cachedCartesian;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    /** @var CylindricalCoordinate */  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    protected $cachedCylindrical;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    public function __construct($rho, $theta, $phi)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    { | 
            
            
                                                                        
                            
            
                                    
            
            
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                        $data = [  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            'rho' => $rho,  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            'theta' => $theta,  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            'phi' => $phi  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        ];  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        parent::__construct($data);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    public function getDistanceFromOrigin(): ImmutableDecimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                        return $this->getAxis('rho'); | 
            
            
                                                                        
                                                                
            
                                    
            
            
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                    }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    public function distanceTo(CoordinateInterface $coordinate): ImmutableDecimal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                        return $this->asCartesian()->distanceTo($coordinate);  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    public function getPolarAngle(): ImmutableDecimal  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    { | 
            
            
                                                                        
                            
            
                                    
            
            
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                        return $this->getAxis('phi'); | 
            
            
                                                                        
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    public function getPlanarAngle(): ImmutableDecimal  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    { | 
            
            
                                                                        
                            
            
                                    
            
            
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                        return $this->getAxis('theta'); | 
            
            
                                                                        
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    public function asCartesian(): CartesianCoordinate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if (is_null($this->cachedCartesian)) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $sinTheta = $this->getAxis('theta')->sin(); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $cosTheta = $this->getAxis('theta')->cos(); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $sinPhi = $this->getAxis('phi')->sin(); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $cosPhi = $this->getAxis('phi')->cos(); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $x = $this->getAxis('rho')->multiply($sinPhi)->multiply($cosTheta); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $y = $this->getAxis('rho')->multiply($sinPhi)->multiply($sinTheta); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $z = $this->getAxis('rho')->multiply($cosPhi); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $this->cachedCartesian = new CartesianCoordinate($x, $y, $z);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return $this->cachedCartesian;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    public function asSpherical(): SphericalCoordinate  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    { | 
            
            
                                                                        
                            
            
                                    
            
            
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                        return $this;  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    public function asCylindrical(): CylindricalCoordinate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if (is_null($this->cachedCylindrical)) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $sinPhi = $this->getAxis('phi')->sin(); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $cosPhi = $this->getAxis('phi')->cos(); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $rho = $this->getAxis('rho')->multiply($sinPhi); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $theta = $this->getAxis('theta'); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $z = $this->getAxis('rho')->multiply($cosPhi); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $this->cachedCylindrical = new CylindricalCoordinate($rho, $theta, $z);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return $this->cachedCylindrical;  | 
            
            
                                                                        
                                                                
            
                                    
            
            
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                    }  | 
            
            
                                                                        
                                                                
            
                                    
            
            
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                }  |