#### Solution to exercise 9.3 in the book

import numpy as np
import matplotlib.pyplot as plt

# Class Line is from section 9.1.1 in the book
class Line:
    def __init__(self, c0, c1):
        self.c0 = c0
        self.c1 = c1

    def __call__(self, x):
        return self.c0 + self.c1*x

    def table(self, L, R, n):
        """Return a table with n points for L <= x <= R."""
        s = ''
        for x in np.linspace(L, R, n):
            y = self(x)
            s += '%12g %12g\n' % (x, y)
        return s

# Class Parabola is from section 9.1.3 in the book
class Parabola(Line):
    def __init__(self, c0, c1, c2):
        Line.__init__(self, c0, c1)
        self.c2 = c2

    def __call__(self, x):
        return self.c0+self.c1*x+self.c2*x**2

# This is the class we are asked to program in ex. 9.3
class SinPlusQuadratic(Parabola):
    def __init__(self, A, w, a, b, c):
        Parabola.__init__(self, c, b, a)
        self.A = A
        self.w = w

    def __call__(self, x):
        return self.A * np.sin(self.w * x) + Parabola.__call__(self, x)

# Example usage:
# Create an instance of the class
f = SinPlusQuadratic(1.0, 10.0, 1.0, 0.5, 0.0)

# Compute and plot the function
x = np.linspace(-5, 5, 1000)
plt.plot(x, f(x))
plt.show()