Source code for processing_library.util.compass_bearing

# LICENSE: public domain
# https://gist.github.com/jeromer/2005586

__all__ = ['calculate_initial_compass_bearing']

import math

def calculate_initial_compass_bearing(pointA, pointB):
    """ Calculates the bearing between two points.
    
    The formulae used is the following:
        θ = atan2(sin(Δlong).cos(lat2),
                  cos(lat1).sin(lat2) − sin(lat1).cos(lat2).cos(Δlong))
                  
    :param pointA: The tuple representing the latitude/longitude for the
        first point. Latitude and longitude must be in decimal degrees
    :param pointB: The tuple representing the latitude/longitude for the
        second point. Latitude and longitude must be in decimal degrees
    :Returns:
      The bearing in degrees
    :Returns Type:
      float
    """
    if (type(pointA) != tuple) or (type(pointB) != tuple):
        raise TypeError("Only tuples are supported as arguments")

    lat1 = math.radians(pointA[0])
    lat2 = math.radians(pointB[0])

    diffLong = math.radians(pointB[1] - pointA[1])

    x = math.sin(diffLong) * math.cos(lat2)
    y = math.cos(lat1) * math.sin(lat2) - (math.sin(lat1)
            * math.cos(lat2) * math.cos(diffLong))

    initial_bearing = math.atan2(x, y)

    # Now we have the initial bearing but math.atan2 return values
    # from -180° to + 180° which is not what we want for a compass bearing
    # The solution is to normalize the initial bearing as shown below
    initial_bearing = math.degrees(initial_bearing)
    compass_bearing = (initial_bearing + 360) % 360

    return compass_bearing