"""
Ex 3.23 from "A Primer on..."
Wrap the formula from ex 1.12 in a function.
"""


from numpy import pi, log

def egg(M, To = 20, Ty = 70):
    rho = 1.03
    c = 3.7
    K = 5.4e-3
    Tw = 100   #water temperature
    t = (M**(2/3) * c * rho**(1/3)) / (K * pi**2 * (4 * pi/3)**(2/3)) \
        * log(0.76 * (To - Tw)/(Ty - Tw))
    return t

#large egg, default values for To and Ty:
t1 = egg(M = 67)

#small egg from fridge, different value for to:
t2 = egg(M = 47, To = 4)

print(f"Large egg from room temp: {int(t1/60)} minutes and {int(t1%60)} seconds")
print(f"Small egg from fridge: {int(t2/60)} minutes and {int(t2%60)} seconds")

"""
Terminal> python egg_func.py 
Large egg from room temp: 5 minutes and 14 seconds
Small egg from fridge: 5 minutes and 12 seconds
"""