20 lines
464 B
Python
20 lines
464 B
Python
import numpy as np
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def fourier_analysis(borg_vol):
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L = (borg_vol.ranges[1]-borg_vol.ranges[0])
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N = borg_vol.density.shape[0]
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return np.fft.rfftn(borg_vol.density)*(L/N)**3, L, N
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def half_pixel_shift(borg):
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dhat,L,N = fourier_analysis(borg)
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return dhat, L
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ik = np.fft.fftfreq(N,d=L/N)*2*np.pi
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phi = 0.5*L/N*(ik[:,None,None]+ik[None,:,None]+ik[None,None,:(N/2+1)])
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phase = np.cos(phi)+1j*np.sin(phi)
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return dhat*phase, L
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