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// The approximate radius of the earth in meters, according to http://en.wikipedia.org/wiki/Earth_radius. |
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use DataValues\Geo\Values\LatLongValue; |
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define( 'Maps_EARTH_RADIUS', 6371000 ); |
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/** |
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* Static class containing geographical functions. |
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* |
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* @since 0.6 |
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* |
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* @licence GNU GPL v2+ |
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* @author Jeroen De Dauw < [email protected] > |
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* @author Pnelnik |
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* @author Matěj Grabovský |
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*/ |
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final class MapsGeoFunctions { |
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/** |
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* Returns the geographical distance between two coordinates. |
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* See http://en.wikipedia.org/wiki/Geographical_distance |
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* |
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* @since 2.0 |
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* |
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* @param LatLongValue $start |
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* @param LatLongValue $end |
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* |
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* @return float Distance in m. |
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*/ |
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public static function calculateDistance( LatLongValue $start, LatLongValue $end ) { |
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$northRad1 = deg2rad( $start->getLatitude() ); |
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$eastRad1 = deg2rad( $start->getLongitude() ); |
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$cosNorth1 = cos( $northRad1 ); |
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$cosEast1 = cos( $eastRad1 ); |
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$sinNorth1 = sin( $northRad1 ); |
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$sinEast1 = sin( $eastRad1 ); |
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$northRad2 = deg2rad( $end->getLatitude() ); |
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$eastRad2 = deg2rad( $end->getLongitude() ); |
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$cosNorth2 = cos( $northRad2 ); |
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$cosEast2 = cos( $eastRad2 ); |
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$sinNorth2 = sin( $northRad2 ); |
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$sinEast2 = sin( $eastRad2 ); |
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$term1 = $cosNorth1 * $sinEast1 - $cosNorth2 * $sinEast2; |
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$term2 = $cosNorth1 * $cosEast1 - $cosNorth2 * $cosEast2; |
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$term3 = $sinNorth1 - $sinNorth2; |
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$distThruSquared = $term1 * $term1 + $term2 * $term2 + $term3 * $term3; |
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$distance = 2 * Maps_EARTH_RADIUS * asin( sqrt( $distThruSquared ) / 2 ); |
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assert( $distance >= 0 ); |
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return $distance; |
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} |
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/** |
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* Finds a destination given a starting location, bearing and distance. |
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* |
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* @since 2.0 |
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* |
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* @param LatLongValue $startingCoordinates |
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* @param float $bearing The initial bearing in degrees. |
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* @param float $distance The distance to travel in km. |
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* |
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* @return array The destination coordinates, as non-directional floats in an array with lat and lon keys. |
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*/ |
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public static function findDestination( LatLongValue $startingCoordinates, $bearing, $distance ) { |
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$startingCoordinates = [ |
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'lat' => deg2rad( $startingCoordinates->getLatitude() ), |
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'lon' => deg2rad( $startingCoordinates->getLongitude() ), |
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]; |
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$radBearing = deg2rad( (float)$bearing ); |
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$angularDistance = $distance / Maps_EARTH_RADIUS; |
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$lat = asin( |
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sin( $startingCoordinates['lat'] ) * cos( $angularDistance ) + cos( $startingCoordinates['lat'] ) * sin( |
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$angularDistance |
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) * cos( $radBearing ) |
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); |
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$lon = $startingCoordinates['lon'] + atan2( |
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sin( $radBearing ) * sin( $angularDistance ) * cos( $startingCoordinates['lat'] ), |
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cos( $angularDistance ) - sin( $startingCoordinates['lat'] ) * sin( $lat ) |
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); |
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return [ |
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'lat' => rad2deg( $lat ), |
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'lon' => rad2deg( $lon ) |
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]; |
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} |
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} |
JeroenDeDauw /
Maps
