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# scipy.fftpack.ifftn

scipy.fftpack.ifftn(x, shape=None, axes=None, overwrite_x=False)

  Return inverse multidimensional discrete Fourier transform.

  The sequence can be of an arbitrary type.

  The returned array contains:

      y[j_1,..,j_d] = 1/p * sum[k_1=0..n_1-1, ..., k_d=0..n_d-1]
         x[k_1,..,k_d] * prod[i=1..d] exp(sqrt(-1)*2*pi/n_i * j_i * k_i)

  where `d = len(x.shape)`, `n = x.shape`, and `p = prod[i=1..d] n_i`.

  For description of parameters see `fftn`.

  See also

  `fftn`

    for detailed information.

  Examples

      >>> from scipy.fftpack import fftn, ifftn
      >>> import numpy as np
      >>> y = (-np.arange(16), 8 - np.arange(16), np.arange(16))
      >>> np.allclose(y, ifftn(fftn(y)))
      True