calculateMidpoint static method

Map<String, double> calculateMidpoint(double lat1, double lon1, double lat2, double lon2,)

Calculates the midpoint between two points on the Earth's surface.

Parameters:

• lat1: Latitude of point 1 in decimal degrees
• lon1: Longitude of point 1 in decimal degrees
• lat2: Latitude of point 2 in decimal degrees
• lon2: Longitude of point 2 in decimal degrees

Returns: A map containing 'latitude' and 'longitude' of the midpoint

Example:

final midpoint = GeoMath.calculateMidpoint(
  37.7749, -122.4194, // San Francisco
  40.7128, -74.0060,  // New York
);

Implementation

static Map<String, double> calculateMidpoint(
  double lat1,
  double lon1,
  double lat2,
  double lon2,
) {
  final lat1Rad = degreesToRadians(lat1);
  final lon1Rad = degreesToRadians(lon1);
  final lat2Rad = degreesToRadians(lat2);
  final dLon = degreesToRadians(lon2 - lon1);

  final bx = cos(lat2Rad) * cos(dLon);
  final by = cos(lat2Rad) * sin(dLon);

  final latMidRad = atan2(
    sin(lat1Rad) + sin(lat2Rad),
    sqrt((cos(lat1Rad) + bx) * (cos(lat1Rad) + bx) + by * by),
  );

  final lonMidRad = lon1Rad + atan2(by, cos(lat1Rad) + bx);

  return {
    'latitude': radiansToDegrees(latMidRad),
    'longitude': radiansToDegrees(lonMidRad),
  };
}