# generate Gaussian random numbers  (c)2026 cepstrum.co.jp
# require PySide6 package/library

import numpy
import matplotlib.pyplot as plt

VECLEN=2**15      # 2**15=32768

rndgen=numpy.random.default_rng()

#-----------------------------------------------------------
x=(rndgen.random(VECLEN)-0.5)+1j*(rndgen.random(VECLEN)-0.5)
y=numpy.fft.fft(x)
z=numpy.concatenate([y.real, y.imag])
#-----------------------------------------------------------

print(len(z))

plt.figure(1)
plt.xlim(-250, 250)
plt.hist(z, bins=50)

plt.figure(2, figsize=(5, 5))
plt.xlim(-250, 250)
plt.ylim(-250, 250)
plt.scatter(y.real[1:7000], y.imag[1:7000], s=1)

plt.show()