def to_polar(x, y):
'Rectangular to polar conversion using ints scaled by 100000. Angle in degrees.'
theta = 0
for i, adj in enumerate((4500000, 2656505, 1403624, 712502, 357633, 178991, 89517, 44761)):
sign = 1 if y < 0 else -1
x, y, theta = x - sign*(y >> i) , y + sign*(x >> i), theta - sign*adj
return theta, x * 60726 // 100000
def to_rect(r, theta):
'Polar to rectangular conversion using ints scaled by 100000. Angle in degrees.'
x, y = 60726 * r // 100000, 0
for i, adj in enumerate((4500000, 2656505, 1403624, 712502, 357633, 178991, 89517, 44761)):
sign = 1 if theta > 0 else -1
x, y, theta = x - sign*(y >> i) , y + sign*(x >> i), theta - sign*adj
return x, y
if __name__ == '__main__':
print(to_rect(471700, 5799460)) # r=4.71700 theta=57.99460
print(to_polar(250000, 400000)) # x=2.50000 y=4.00000
