import math

def great_circle(double lon1, double lat1, double lon2, double lat2):
    cdef double radius = 3956 # miles
    cdef double x = math.pi/180.0
    cdef double a, b, theta, c

    a = (90.0 - lat1)*x
    b = (90.0 - lat2)*x
    theta = (lon2 - lon1)*x
    c = math.acos(math.cos(a)*math.cos(b) + math.sin(a)*math.sin(b)*math.cos(theta))

    return radius*c