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from collections.abc import Sequence
from typing import Literal as L
from numpy import complex128, float64
from numpy._typing import ArrayLike, NDArray, _ArrayLikeNumber_co
_NormKind = L[None, "backward", "ortho", "forward"]
__all__: list[str]
def fft(
    a: ArrayLike,
    n: None | int = ...,
    axis: int = ...,
    norm: _NormKind = ...,
) -> NDArray[complex128]: ...
def ifft(
    a: ArrayLike,
    n: None | int = ...,
    axis: int = ...,
    norm: _NormKind = ...,
) -> NDArray[complex128]: ...
def rfft(
    a: ArrayLike,
    n: None | int = ...,
    axis: int = ...,
    norm: _NormKind = ...,
) -> NDArray[complex128]: ...
def irfft(
    a: ArrayLike,
    n: None | int = ...,
    axis: int = ...,
    norm: _NormKind = ...,
) -> NDArray[float64]: ...
# Input array must be compatible with `np.conjugate`
def hfft(
    a: _ArrayLikeNumber_co,
    n: None | int = ...,
    axis: int = ...,
    norm: _NormKind = ...,
) -> NDArray[float64]: ...
def ihfft(
    a: ArrayLike,
    n: None | int = ...,
    axis: int = ...,
    norm: _NormKind = ...,
) -> NDArray[complex128]: ...
def fftn(
    a: ArrayLike,
    s: None | Sequence[int] = ...,
    axes: None | Sequence[int] = ...,
    norm: _NormKind = ...,
) -> NDArray[complex128]: ...
def ifftn(
    a: ArrayLike,
    s: None | Sequence[int] = ...,
    axes: None | Sequence[int] = ...,
    norm: _NormKind = ...,
) -> NDArray[complex128]: ...
def rfftn(
    a: ArrayLike,
    s: None | Sequence[int] = ...,
    axes: None | Sequence[int] = ...,
    norm: _NormKind = ...,
) -> NDArray[complex128]: ...
def irfftn(
    a: ArrayLike,
    s: None | Sequence[int] = ...,
    axes: None | Sequence[int] = ...,
    norm: _NormKind = ...,
) -> NDArray[float64]: ...
def fft2(
    a: ArrayLike,
    s: None | Sequence[int] = ...,
    axes: None | Sequence[int] = ...,
    norm: _NormKind = ...,
) -> NDArray[complex128]: ...
def ifft2(
    a: ArrayLike,
    s: None | Sequence[int] = ...,
    axes: None | Sequence[int] = ...,
    norm: _NormKind = ...,
) -> NDArray[complex128]: ...
def rfft2(
    a: ArrayLike,
    s: None | Sequence[int] = ...,
    axes: None | Sequence[int] = ...,
    norm: _NormKind = ...,
) -> NDArray[complex128]: ...
def irfft2(
    a: ArrayLike,
    s: None | Sequence[int] = ...,
    axes: None | Sequence[int] = ...,
    norm: _NormKind = ...,
) -> NDArray[float64]: ...