晋太元中,武陵人捕鱼为业。缘溪行,忘路之远近。忽逢桃花林,夹岸数百步,中无杂树,芳草鲜美,落英缤纷。渔人甚异之,复前行,欲穷其林。   林尽水源,便得一山,山有小口,仿佛若有光。便舍船,从口入。初极狭,才通人。复行数十步,豁然开朗。土地平旷,屋舍俨然,有良田、美池、桑竹之属。阡陌交通,鸡犬相闻。其中往来种作,男女衣着,悉如外人。黄发垂髫,并怡然自乐。   见渔人,乃大惊,问所从来。具答之。便要还家,设酒杀鸡作食。村中闻有此人,咸来问讯。自云先世避秦时乱,率妻子邑人来此绝境,不复出焉,遂与外人间隔。问今是何世,乃不知有汉,无论魏晋。此人一一为具言所闻,皆叹惋。余人各复延至其家,皆出酒食。停数日,辞去。此中人语云:“不足为外人道也。”(间隔 一作:隔绝)   既出,得其船,便扶向路,处处志之。及郡下,诣太守,说如此。太守即遣人随其往,寻向所志,遂迷,不复得路。   南阳刘子骥,高尚士也,闻之,欣然规往。未果,寻病终。后遂无问津者。 sh-3ll

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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]: ...