57 lines
693 B
Python
57 lines
693 B
Python
# -*- coding: utf-8 -*-
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"""
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Created on Thu Mar 19 08:26:08 2015
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@author: rlabbe
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"""
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import numpy as np
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import matplotlib.pyplot as plt
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from math import sin, cos, factorial
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def df(x, p):
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if p == 0:
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return sin(x)
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return x
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if p % 4 == 1:
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return cos(x)
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if p % 4 == 2:
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return -sin(x)
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if p % 4 == 3:
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return -cos(x)
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return sin(x)
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def taylor(df, x, a, n):
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f = 0.0
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for i in range(n+1):
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term = df(a, i) * (x - a)**i / factorial(i)
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f += term
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return f
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x = 0.1
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a = 0.8
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n = 1
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plt.cla()
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xs = np.linspace(-2, 2, 100)
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ts = [taylor(df, i, a, n) for i in xs]
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plt.plot(xs, np.sin(xs))
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plt.plot(xs, ts)
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