convert angle
def conv_angle(angle, unit_in, unit_out):
'''
Convert angle between degree, radian, and turn
This function uses: sympy (for pi and simplify)
angle: angle number
unit_in, unit_out: unit name degree / rad / turn
returns: angle (converted to desired unit)
'''
from sympy import pi, simplify
# from degree
if unit_in == "degree":
if unit_out == "degree":
ans = angle
if unit_out == "rad":
ans = simplify(angle * pi / 180)
if unit_out == "turn":
ans = simplify(angle / 360)
# from radian
if unit_in == "rad":
if unit_out == "degree":
ans = simplify(angle * 180 * pi**(-1))
if unit_out == "rad":
ans = angle
if unit_out == "turn":
ans = simplify(angle * (2 * pi)**(-1))
# from turn
if unit_in == "turn":
if unit_out == "degree":
ans = angle * 360
if unit_out == "rad":
ans = angle * 2 * pi
if unit_out == "turn":
ans = angle
return ans