41 lines
1.1 KiB
Python
41 lines
1.1 KiB
Python
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#!/usr/bin/env python3
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"""
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1) créer 2 vecteurs et calculer le produit scalaire entre les 2 vecteurs
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comparer avec dot
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2) calculer l'angle entre 2 vecteurs
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3) afficher les vecteurs
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Pour l'affichage → utilisation de matplotlib
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exemple
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plt.plot([0, 1, 2], [4, 8, 16], "r+")
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plt.show()
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"""
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import numpy as np
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def truc1():
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a = np.random.random(2)
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b = np.random.random(2)
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print(a, b, a.shape)
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print(f"{(a*b).sum()=} \n{np.dot(a, b)=}")
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# truc1()
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import matplotlib.pyplot as plt
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def truc2():
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a = np.array([0, 1]) #np.random.random(2)
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b = np.array([1, 1]) #np.random.random(2)
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alpha = np.math.degrees(np.math.acos(np.dot(a, b) / (np.linalg.norm(a) * np.linalg.norm(b))))
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print(f"{a=} {b=} {alpha=}")
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n = 500
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x = a.dot(b) / (np.linalg.norm(a) * np.linalg.norm(b))
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new_a = np.math.pi / 2 - sum(np.math.factorial(2*n) / (2**n * np.math.factorial(n))**2 * (x**(2*n+1)) / (2*n+1) for _ in range(n))
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print(np.math.degrees(new_a))
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# print(np.linalg.norm(a) == (a**2).sum() ** .5)
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plt.plot(a/np.linalg.norm(a), b/np.linalg.norm(b), "r+")
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plt.show()
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truc2()
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