# %%
from Miguel_S5_Aufg2 import Miguel_S5_Aufg2
from matplotlib import pyplot
from numpy import array, polyfit, polyval
from scipy import interpolate

x = array([1900, 1910, 1920, 1930, 1940, 1950, 1960, 1970, 1980, 1990, 19100, 19110])
y = array([75.995, 91.972, 105.711, 123.203, 131.669, 150.697, 179.323, 203.212, 226.505, 249.633, 281.422, 308.745])
xx = array([17, 25, 41, 56, 72, 98, 100, 108])

# a)

pyplot.figure()
Miguel_S5_Aufg2(x, y, xx)

# b)

pyplot.figure()
pyplot.scatter(xx, interpolate.CubicSpline(x, y)(xx))

# c) 1
pyplot.figure()
pyplot.scatter(xx, polyval(polyfit(x, y, deg = 11), xx))

# c) 2
x[:] -= 1900
pyplot.figure()
pyplot.scatter(xx, polyval(polyfit(x, y, deg = 11), xx))

# %%