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                <?php  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * PHPCoord.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 *  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 * @author Doug Wright  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                declare(strict_types=1);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                namespace PHPCoord\Geometry;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use function array_merge;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use function class_exists;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use function count;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use function implode;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use PHPCoord\CoordinateOperation\GeographicValue;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use PHPCoord\UnitOfMeasure\Angle\Angle;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                use PHPCoord\UnitOfMeasure\Angle\Degree;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class BoundingArea  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * Vertices in GeoJSON-type format (an array of polygons, which is an array of rings which is an array of long,lat points).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @var array<array<array<array<float, float>>>  | 
            
                            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    protected array $vertices;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    protected bool $longitudeExtendsFurtherThanMinus180 = false;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    protected bool $longitudeExtendsFurtherThanPlus180 = false;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    private static array $cachedObjects = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    private const BUFFER_THRESHOLD = 200; // rough guess at where map maker got bored adding vertices for complex shapes  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    private const BUFFER_SIZE = 0.1; // approx 10km  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             621                          | 
                
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                    protected function __construct(array $vertices)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             621                          | 
                
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                        $this->vertices = $vertices;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             621                          | 
                
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                        foreach ($this->vertices as $polygon) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            foreach ($polygon as $ring) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             621                          | 
                
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                                foreach ($ring as $vertex) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                    if ($vertex[0] > 180) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                        $this->longitudeExtendsFurtherThanPlus180 = true;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                    if ($vertex[0] < -180) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                        $this->longitudeExtendsFurtherThanMinus180 = true;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             621                          | 
                
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @param array<array<array<array<float, float>>> $vertices [[[long,lat], [long,lat]...]]  | 
            
                            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             594                          | 
                
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                    public static function createFromArray(array $vertices): self  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return new static($vertices);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    public static function createWorld(): self  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return new static([[[[-180, -90], [-180, 90], [180, 90], [180, -90], [-180, -90]]]]);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     * @internal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             648                          | 
                
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                    public static function createFromExtentCodes(array $extentCodes): self  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             648                          | 
                
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                        $cacheKey = implode('', $extentCodes); | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             648                          | 
                
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                        if (!isset(self::$cachedObjects[$cacheKey])) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             477                          | 
                
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                            $extents = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             477                          | 
                
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                            foreach ($extentCodes as $extentCode) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             477                          | 
                
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                                $fullExtent = "PHPCoord\\Geometry\\Extents\\Extent{$extentCode}"; | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             477                          | 
                
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                                $basicExtent = "PHPCoord\\Geometry\\Extents\\BoundingBoxOnly\\Extent{$extentCode}"; | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             477                          | 
                
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                                $extentClass = class_exists($fullExtent) ? new $fullExtent() : new $basicExtent();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             477                          | 
                
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                                $extents = array_merge($extents, $extentClass());  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             477                          | 
                
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                            self::$cachedObjects[$cacheKey] = self::createFromArray($extents);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return self::$cachedObjects[$cacheKey];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    public function containsPoint(GeographicValue $point): bool  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             234                          | 
                
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                        $latitude = $point->getLongitude()->asDegrees()->getValue();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             234                          | 
                
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                        $longitude = $point->getLatitude()->asDegrees()->getValue();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        $pointsToCheck = [  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            [  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                $latitude,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                $longitude,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            ],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        ];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             234                          | 
                
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                        if ($this->longitudeExtendsFurtherThanMinus180) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            $pointsToCheck[] = [  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                $latitude - 360,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                $longitude,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            ];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             234                          | 
                
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                        if ($this->longitudeExtendsFurtherThanPlus180) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             36                          | 
                
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                            $pointsToCheck[] = [  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                $latitude + 360,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             36                          | 
                
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                                $longitude,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            ];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        /*  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                         * @see https://observablehq.com/@tmcw/understanding-point-in-polygon  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                         */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             234                          | 
                
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                        foreach ($pointsToCheck as $pointToCheck) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             234                          | 
                
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                            [$x, $y] = $pointToCheck;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             234                          | 
                
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                            foreach ($this->vertices as $polygonId => $polygon) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             234                          | 
                
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                                $centre = $this->getCentre($polygonId);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             234                          | 
                
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                                $centreX = $centre[1]->asDegrees()->getValue();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             234                          | 
                
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                                $centreY = $centre[0]->asDegrees()->getValue();  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             234                          | 
                
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                                $vertices = [];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             234                          | 
                
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                                foreach ($polygon as $ringId => $ring) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             234                          | 
                
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                                    if ($ringId === 0 && count($ring) > self::BUFFER_THRESHOLD) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             100                          | 
                
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                                        foreach ($ring as $vertexId => $vertex) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             100                          | 
                
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                                            if ($vertex[0] > $centreX) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             100                          | 
                
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                                                $ring[$vertexId][0] += self::BUFFER_SIZE;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             100                          | 
                
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                                            } elseif ($vertex[0] < $centreX) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             100                          | 
                
                 | 
                                                $ring[$vertexId][0] -= self::BUFFER_SIZE;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    131
                 | 
                                    
                                                     | 
                
                 | 
                                            }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    132
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    133
                 | 
                                    
                             100                          | 
                
                 | 
                                            if ($vertex[1] > $centreY) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                             100                          | 
                
                 | 
                                                $ring[$vertexId][1] += self::BUFFER_SIZE;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                             100                          | 
                
                 | 
                                            } elseif ($vertex[1] < $centreY) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                             100                          | 
                
                 | 
                                                $ring[$vertexId][1] -= self::BUFFER_SIZE;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                                            }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
                 | 
                                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                             234                          | 
                
                 | 
                                    $vertices = array_merge($vertices, $ring);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                                }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                             234                          | 
                
                 | 
                                $n = count($vertices);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                             234                          | 
                
                 | 
                                $inside = false;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                             234                          | 
                
                 | 
                                for ($i = 0, $j = $n - 1; $i < $n; $j = $i++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                             234                          | 
                
                 | 
                                    $xi = $vertices[$i][0];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                             234                          | 
                
                 | 
                                    $yi = $vertices[$i][1];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                             234                          | 
                
                 | 
                                    $xj = $vertices[$j][0];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                             234                          | 
                
                 | 
                                    $yj = $vertices[$j][1];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                             234                          | 
                
                 | 
                                    $intersect = (($yi > $y) !== ($yj > $y)) // horizontal ray from $y, intersects if vertices are on opposite sides of it  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                             234                          | 
                
                 | 
                                        && ($x < ($xj - $xi) * ($y - $yi) / ($yj - $yi) + $xi);  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                             234                          | 
                
                 | 
                                    if ($intersect) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                             225                          | 
                
                 | 
                                        $inside = !$inside;  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                                }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                             234                          | 
                
                 | 
                                if ($inside) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                             225                          | 
                
                 | 
                                    return true;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                                }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                            }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                             99                          | 
                
                 | 
                        return false;  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                     * @internal used for testing  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                     * @return array<Angle,Angle>  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                             27                          | 
                
                 | 
                    public function getPointInside(): array  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                             27                          | 
                
                 | 
                        return $this->getCentre(0); // any polygon will do, use the first  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                    /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                     * @internal used for testing  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                     * @return array<Angle,Angle>  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                     */  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                             234                          | 
                
                 | 
                    protected function getCentre(int $polygonId): array  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                    { | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                        // Calculates the "centre" (centroid) of a polygon.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                             234                          | 
                
                 | 
                        $vertices = $this->vertices[$polygonId][0]; // only consider outer ring  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                             234                          | 
                
                 | 
                        $n = count($vertices);  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                             234                          | 
                
                 | 
                        $area = 0;  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                             234                          | 
                
                 | 
                        for ($i = 0; $i < ($n - 1); ++$i) { | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                             234                          | 
                
                 | 
                            $area += $vertices[$i][0] * $vertices[$i + 1][1];  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                             234                          | 
                
                 | 
                        $area += $vertices[$n - 1][0] * $vertices[0][1];  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                             234                          | 
                
                 | 
                        for ($i = 0; $i < ($n - 1); ++$i) { | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                             234                          | 
                
                 | 
                            $area -= $vertices[$i + 1][0] * $vertices[$i][1];  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                             234                          | 
                
                 | 
                        $area -= $vertices[0][0] * $vertices[$n - 1][1];  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                             234                          | 
                
                 | 
                        $area /= 2;  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                             234                          | 
                
                 | 
                        $latitude = 0;  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                             234                          | 
                
                 | 
                        $longitude = 0;  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    201
                 | 
                                    
                             234                          | 
                
                 | 
                        for ($i = 0; $i < ($n - 1); ++$i) { | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    202
                 | 
                                    
                             234                          | 
                
                 | 
                            $latitude += ($vertices[$i][1] + $vertices[$i + 1][1]) * ($vertices[$i][0] * $vertices[$i + 1][1] - $vertices[$i + 1][0] * $vertices[$i][1]);  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    203
                 | 
                                    
                             234                          | 
                
                 | 
                            $longitude += ($vertices[$i][0] + $vertices[$i + 1][0]) * ($vertices[$i][0] * $vertices[$i + 1][1] - $vertices[$i + 1][0] * $vertices[$i][1]);  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    204
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    205
                 | 
                                    
                             234                          | 
                
                 | 
                        $latitude = new Degree($latitude / 6 / $area);  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    206
                 | 
                                    
                             234                          | 
                
                 | 
                        $longitude = new Degree($longitude / 6 / $area);  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    207
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    208
                 | 
                                    
                             234                          | 
                
                 | 
                        return [$latitude, $longitude];  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                }  | 
            
            
                                                        
            
                                    
            
            
                | 
                    211
                 | 
                                    
                                                     | 
                
                 | 
                 |