import math

def lon_to_mercator_x(lon):
    return lon * 20037508.34 / 180

def lat_to_mercator_y(lat):
    y = math.log(math.tan((90 + lat) * math.pi / 360)) / (math.pi / 180)
    return y * 20037508.34 / 180

west = 147.07122802734375
east = 147.2161102294922
north = -41.37011004681639
south = -41.495721047150596

print(f"west: {lon_to_mercator_x(west)}")
print(f"east: {lon_to_mercator_x(east)}")
print(f"north: {lat_to_mercator_y(north)}")
print(f"south: {lat_to_mercator_y(south)}")
