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Geo Location functions
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<?php | |
namespace Acme\Component\Utils; | |
class Geo | |
{ | |
const EARTH_RADIUS = 3959; // in miles | |
/** | |
* Given a $centre (latitude, longitude) co-ordinates and a | |
* distance $radius (miles), returns a random point (latitude,longtitude) | |
* which is within $radius meters of $centre. | |
* | |
* @param $latitude | |
* @param $longitude | |
* @param float $radius The radius (in meters). | |
* | |
* @return array | |
*/ | |
public static function generateRandomPoint($latitude, $longitude, $radius) | |
{ | |
$centre = array($latitude, $longitude); | |
$radius_earth = self::EARTH_RADIUS * 1609.344; // in meters | |
// Pick random distance within $distance; | |
$distance = lcg_value() * $radius; | |
// Convert degrees to radians. | |
$centre_rads = array_map('deg2rad', $centre); | |
// First suppose our point is the north pole. | |
// Find a random point $distance miles away | |
$lat_rads = (pi() / 2) - $distance / $radius_earth; | |
$lng_rads = lcg_value() * 2 * pi(); | |
// ($lat_rads,$lng_rads) is a point on the circle which is | |
// $distance miles from the north pole. Convert to Cartesian | |
$x1 = cos($lat_rads) * sin($lng_rads); | |
$y1 = cos($lat_rads) * cos($lng_rads); | |
$z1 = sin($lat_rads); | |
// Rotate that sphere so that the north pole is now at $centre. | |
// Rotate in x axis by $rot = (pi()/2) - $centre_rads[0]; | |
$rot = (pi() / 2) - $centre_rads[0]; | |
$x2 = $x1; | |
$y2 = $y1 * cos($rot) + $z1 * sin($rot); | |
$z2 = -$y1 * sin($rot) + $z1 * cos($rot); | |
//Rotate in z axis by $rot = $centre_rads[1] | |
$rot = $centre_rads[1]; | |
$x3 = $x2 * cos($rot) + $y2 * sin($rot); | |
$y3 = -$x2 * sin($rot) + $y2 * cos($rot); | |
$z3 = $z2; | |
//Finally convert this point to polar co-ords | |
$lng_rads = atan2($x3, $y3); | |
$lat_rads = asin($z3); | |
$return = array_map('rad2deg', array($lat_rads, $lng_rads)); | |
return array('latitude' => $return[0], 'longitude' => $return[1]); | |
} | |
/** | |
* Return the boundaries of a square around a geo point according the specified distance | |
* | |
* @param $latitude | |
* @param $longitude | |
* @param int $distance | |
* @return array | |
*/ | |
public static function getGeoBoundaries($latitude, $longitude, $distance=2000) | |
{ | |
// earth's radius in km = ~6371 | |
$radius = self::EARTH_RADIUS * 1609.344; | |
$return = array( | |
'ref_lat' => $latitude, | |
'ref_lng' => $longitude, | |
'distance' => $distance, | |
'max_lat' => null, | |
'min_lat' => null, | |
'max_lng' => null, | |
'min_lng' => null, | |
); | |
// latitude boundaries | |
$return['max_lat'] = $latitude + rad2deg($distance / $radius); | |
$return['min_lat'] = $latitude - rad2deg($distance / $radius); | |
// longitude boundaries (longitude gets smaller when latitude increases) | |
$return['max_lng'] = $longitude + rad2deg($distance / $radius / cos(deg2rad($latitude))); | |
$return['min_lng'] = $longitude - rad2deg($distance / $radius / cos(deg2rad($latitude))); | |
return $return; | |
} | |
/** | |
* Return the great-circle distance in meters between 2 geo points using the Vincenty formula (more precise) | |
* | |
* @param float $lat1 | |
* @param float $lng1 | |
* @param float $lat2 | |
* @param float $lng2 | |
* | |
* @return float distance in meters | |
*/ | |
public static function distance($lat1, $lng1, $lat2, $lng2) | |
{ | |
$earthRadius = self::EARTH_RADIUS * 1609.344; | |
// convert from degrees to radians | |
$latFrom = deg2rad($lat1); | |
$lonFrom = deg2rad($lng1); | |
$latTo = deg2rad($lat2); | |
$lonTo = deg2rad($lng2); | |
$lonDelta = $lonTo - $lonFrom; | |
$a = pow(cos($latTo) * sin($lonDelta), 2) + | |
pow(cos($latFrom) * sin($latTo) - sin($latFrom) * cos($latTo) * cos($lonDelta), 2); | |
$b = sin($latFrom) * sin($latTo) + cos($latFrom) * cos($latTo) * cos($lonDelta); | |
$angle = atan2(sqrt($a), $b); | |
return $angle * $earthRadius; | |
} | |
} |
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