      Whether to use the orthogonalized IDCT variant (see Notes).
        Defaults to ``True`` when ``norm="ortho"`` and ``False`` otherwise.

        .. versionadded:: 1.8.0

    Returns
    -------
    idct : ndarray of real
        The transformed input array.

    See Also
    --------
    dct : Forward DCT

    Notes
    -----
    For a single dimension array `x`, ``idct(x, norm='ortho')`` is equal to
    MATLAB ``idct(x)``.

    .. warning:: For ``type in {1, 2, 3}``, ``norm="ortho"`` breaks the direct
                 correspondence with the inverse direct Fourier transform. To
                 recover it you must specify ``orthogonalize=False``.

    For ``norm="ortho"`` both the `dct` and `idct` are scaled by the same
    overall factor in both directions. By default, the transform is also
    orthogonalized which for types 1, 2 and 3 means the transform definition is
    modified to give orthogonality of the IDCT matrix (see `dct` for the full
    definitions).

    'The' IDCT is the IDCT-II, which is the same as the normalized DCT-III.

    The IDCT is equivalent to a normal DCT except for the normalization and
    type. DCT type 1 and 4 are their own inverse and DCTs 2 and 3 are each
    other's inverses.

    Examples
    --------
    The Type 1 DCT is equivalent to the DFT for real, even-symmetrical
    inputs. The output is also real and even-symmetrical. Half of the IFFT
    input is used to generate half of the IFFT output:

    >>> from scipy.fft import ifft, idct
    >>> import numpy as np
    >>> ifft(np.array([ 30.,  -8.,   6.,  -2.,   6.,  -8.])).real
    array([  4.,   3.,   5.,  10.,   5.,   3.])
    >>> idct(np.array([ 30.,  -8.,   6.,  -2.]), 1)
    array([  4.,   3.,   5.,  10.])

    r