36 lines
911 B
Python
36 lines
911 B
Python
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from mpl_toolkits.mplot3d import Axes3D
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from matplotlib import cm
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from matplotlib.colors import LogNorm
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import matplotlib.pyplot as plt
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import numpy as np
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import math
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def fonction(X, Y):
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return X*np.exp(-X**2-Y**2)+(X**2+Y**2)/20
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def gradient_fonction(X, Y):
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g_x=np.exp(-X**2-Y**2)+X*-2*X*np.exp(-X**2-Y**2)+X/10
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g_y=-2*Y*X*np.exp(-X**2-Y**2)+Y/10
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return g_x, g_y
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fig=plt.figure()
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fig.set_size_inches(9, 7, forward=True)
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ax=Axes3D(fig, azim=-29, elev=49)
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X=np.arange(-3, 3, 0.2)
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Y=np.arange(-3, 3, 0.2)
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X, Y=np.meshgrid(X, Y)
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Z=fonction(X, Y)
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ax.plot_surface(X, Y, Z, rstride=1, cstride=1)
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plt.xlabel("Paramètre 1 (x)")
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plt.ylabel("Paramètre 2 (y)")
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x, y=np.meshgrid(np.arange(-3, 3, 0.2),
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np.arange(-3, 3, 0.2))
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z=-1
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u, v=gradient_fonction(x, y)
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w=0
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ax.quiver(x, y, z, u, v, w, length=0.15, normalize=True, color='#333333')
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plt.show()
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