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feat: task2.py compleated

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This commit is contained in:
Sandro Zimmermann 2026-03-03 20:57:09 +01:00
parent 4302e8e136
commit 47202ce7f0
1 changed files with 76 additions and 7 deletions
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src/analysis/task2.py
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@ -1,5 +1,9 @@
#%%
import numpy as np
import matplotlib.pyplot as plt
# Parameter
N = 640
# Funktionen
f_a = lambda x: np.sin(x)
@ -10,11 +14,76 @@ f_e = lambda x: np.log2(x)
f_f = lambda x: np.log(10)/np.log(x)
# Daten
a_data = [f_a(x) for x in np.linspace(0, np.pi, 201)]
b_data = [f_b(x) for x in np.linspace(2, 5, 20)]
c_data = [f_c(x) for x in np.linspace(-2, 0, 20)]
d_data = [f_d(x) for x in np.linspace(2, 100, 201)]
e_data = [f_e(x) for x in np.linspace(1e-2, 1, 20)]
f_data = [f_f(x) for x in np.linspace(2, 3, 20)]
x_a_data = np.linspace(0, np.pi, N)
x_b_data = np.linspace(2, 5, N)
x_c_data = np.linspace(-2, 0, N)
x_d_data = np.linspace(2, 100, N)
x_e_data = np.linspace(1e-2, 1, N)
x_f_data = np.linspace(2, 3, N)
print(b_data)
f_a_data = f_a(x_a_data)
f_b_data = f_b(x_b_data)
f_c_data = f_c(x_c_data)
f_d_data = f_d(x_d_data)
f_e_data = f_e(x_e_data)
f_f_data = f_f(x_f_data)
I_a = np.abs(np.trapezoid(f_a_data, x_a_data))
I_b = np.abs(np.trapezoid(f_b_data, x_b_data))
I_c = np.abs(np.trapezoid(f_c_data, x_c_data))
I_d = np.abs(np.trapezoid(f_d_data, x_d_data))
I_e = np.abs(np.trapezoid(f_e_data, x_e_data))
I_f = np.abs(np.trapezoid(f_f_data, x_f_data))
print(f"Integral a: {I_a:.3}")
print(f"Integral b: {I_b:.3}")
print(f"Integral c: {I_c:.3}")
print(f"Integral d: {I_d:.3}")
print(f"Integral e: {I_e:.3}")
print(f"Integral f: {I_f:.3}")
# Plot a
plt.figure(1)
plt.plot(x_a_data, f_a_data)
plt.xlabel('x'); plt.ylabel('y')
plt.grid('on'); plt.axis('image')
# Plot b
plt.figure(2)
plt.plot(x_b_data, f_b_data)
plt.xlabel('x')
plt.ylabel('y')
plt.grid('on')
plt.axis('image')
# Plot c
plt.figure(3)
plt.plot(x_c_data, f_c_data)
plt.xlabel('x')
plt.ylabel('y')
plt.grid('on')
plt.axis('image')
# Plot d
plt.figure(4)
plt.plot(x_d_data, f_d_data)
plt.xlabel('x')
plt.ylabel('y')
plt.grid('on')
plt.axis('image')
# Plot e
plt.figure(5)
plt.plot(x_e_data, f_e_data)
plt.xlabel('x')
plt.ylabel('y')
plt.grid('on')
plt.axis('image')
# Plot f
plt.figure(6)
plt.plot(x_f_data, f_f_data)
plt.xlabel('x')
plt.ylabel('y')
plt.grid('on')
plt.axis('image')