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			424 lines
		
	
	
		
			10 KiB
		
	
	
	
		
			Python
		
	
			
		
		
	
	
			424 lines
		
	
	
		
			10 KiB
		
	
	
	
		
			Python
		
	
from collections.abc import Callable, Iterable, Sequence
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from typing import (
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    Final,
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    Literal,
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    SupportsIndex,
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    TypeAlias,
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    TypeVar,
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    overload,
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)
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import numpy as np
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import numpy.typing as npt
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from numpy._typing import (
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    _ArrayLikeComplex_co,
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    _ArrayLikeFloat_co,
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    _FloatLike_co,
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    _NumberLike_co,
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)
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from ._polytypes import (
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    _AnyInt,
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    _Array2,
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    _ArrayLikeCoef_co,
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    _CoefArray,
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    _CoefLike_co,
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    _CoefSeries,
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    _ComplexArray,
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    _ComplexSeries,
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    _FloatArray,
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    _FloatSeries,
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    _FuncBinOp,
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    _FuncValND,
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    _FuncVanderND,
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    _ObjectArray,
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    _ObjectSeries,
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    _SeriesLikeCoef_co,
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    _SeriesLikeComplex_co,
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    _SeriesLikeFloat_co,
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    _SeriesLikeInt_co,
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    _Tuple2,
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)
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__all__: Final[Sequence[str]] = [
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    "as_series",
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    "format_float",
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    "getdomain",
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    "mapdomain",
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    "mapparms",
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    "trimcoef",
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    "trimseq",
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]
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_AnyLineF: TypeAlias = Callable[
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    [_CoefLike_co, _CoefLike_co],
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    _CoefArray,
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]
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_AnyMulF: TypeAlias = Callable[
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    [npt.ArrayLike, npt.ArrayLike],
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    _CoefArray,
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]
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_AnyVanderF: TypeAlias = Callable[
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    [npt.ArrayLike, SupportsIndex],
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    _CoefArray,
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]
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@overload
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def as_series(
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    alist: npt.NDArray[np.integer] | _FloatArray,
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    trim: bool = ...,
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) -> list[_FloatSeries]: ...
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@overload
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def as_series(
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    alist: _ComplexArray,
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    trim: bool = ...,
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) -> list[_ComplexSeries]: ...
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@overload
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def as_series(
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    alist: _ObjectArray,
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    trim: bool = ...,
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) -> list[_ObjectSeries]: ...
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@overload
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def as_series(  # type: ignore[overload-overlap]
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    alist: Iterable[_FloatArray | npt.NDArray[np.integer]],
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    trim: bool = ...,
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) -> list[_FloatSeries]: ...
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@overload
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def as_series(
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    alist: Iterable[_ComplexArray],
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    trim: bool = ...,
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) -> list[_ComplexSeries]: ...
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@overload
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def as_series(
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    alist: Iterable[_ObjectArray],
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    trim: bool = ...,
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) -> list[_ObjectSeries]: ...
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@overload
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def as_series(  # type: ignore[overload-overlap]
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    alist: Iterable[_SeriesLikeFloat_co | float],
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    trim: bool = ...,
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) -> list[_FloatSeries]: ...
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@overload
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def as_series(
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    alist: Iterable[_SeriesLikeComplex_co | complex],
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    trim: bool = ...,
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) -> list[_ComplexSeries]: ...
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@overload
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def as_series(
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    alist: Iterable[_SeriesLikeCoef_co | object],
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    trim: bool = ...,
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) -> list[_ObjectSeries]: ...
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_T_seq = TypeVar("_T_seq", bound=_CoefArray | Sequence[_CoefLike_co])
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def trimseq(seq: _T_seq) -> _T_seq: ...
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@overload
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def trimcoef(  # type: ignore[overload-overlap]
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    c: npt.NDArray[np.integer] | _FloatArray,
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    tol: _FloatLike_co = ...,
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) -> _FloatSeries: ...
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@overload
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def trimcoef(
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    c: _ComplexArray,
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    tol: _FloatLike_co = ...,
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) -> _ComplexSeries: ...
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@overload
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def trimcoef(
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    c: _ObjectArray,
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    tol: _FloatLike_co = ...,
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) -> _ObjectSeries: ...
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@overload
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def trimcoef(  # type: ignore[overload-overlap]
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    c: _SeriesLikeFloat_co | float,
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    tol: _FloatLike_co = ...,
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) -> _FloatSeries: ...
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@overload
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def trimcoef(
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    c: _SeriesLikeComplex_co | complex,
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    tol: _FloatLike_co = ...,
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) -> _ComplexSeries: ...
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@overload
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def trimcoef(
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    c: _SeriesLikeCoef_co | object,
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    tol: _FloatLike_co = ...,
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) -> _ObjectSeries: ...
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@overload
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def getdomain(  # type: ignore[overload-overlap]
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    x: _FloatArray | npt.NDArray[np.integer],
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) -> _Array2[np.float64]: ...
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@overload
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def getdomain(
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    x: _ComplexArray,
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) -> _Array2[np.complex128]: ...
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@overload
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def getdomain(
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    x: _ObjectArray,
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) -> _Array2[np.object_]: ...
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@overload
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def getdomain(  # type: ignore[overload-overlap]
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    x: _SeriesLikeFloat_co | float,
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) -> _Array2[np.float64]: ...
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@overload
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def getdomain(
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    x: _SeriesLikeComplex_co | complex,
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) -> _Array2[np.complex128]: ...
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@overload
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def getdomain(
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    x: _SeriesLikeCoef_co | object,
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) -> _Array2[np.object_]: ...
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@overload
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def mapparms(  # type: ignore[overload-overlap]
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    old: npt.NDArray[np.floating | np.integer],
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    new: npt.NDArray[np.floating | np.integer],
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) -> _Tuple2[np.floating]: ...
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@overload
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def mapparms(
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    old: npt.NDArray[np.number],
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    new: npt.NDArray[np.number],
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) -> _Tuple2[np.complexfloating]: ...
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@overload
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def mapparms(
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    old: npt.NDArray[np.object_ | np.number],
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    new: npt.NDArray[np.object_ | np.number],
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) -> _Tuple2[object]: ...
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@overload
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def mapparms(  # type: ignore[overload-overlap]
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    old: Sequence[float],
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    new: Sequence[float],
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) -> _Tuple2[float]: ...
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@overload
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def mapparms(
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    old: Sequence[complex],
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    new: Sequence[complex],
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) -> _Tuple2[complex]: ...
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@overload
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def mapparms(
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    old: _SeriesLikeFloat_co,
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    new: _SeriesLikeFloat_co,
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) -> _Tuple2[np.floating]: ...
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@overload
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def mapparms(
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    old: _SeriesLikeComplex_co,
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    new: _SeriesLikeComplex_co,
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) -> _Tuple2[np.complexfloating]: ...
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@overload
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def mapparms(
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    old: _SeriesLikeCoef_co,
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    new: _SeriesLikeCoef_co,
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) -> _Tuple2[object]: ...
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@overload
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def mapdomain(  # type: ignore[overload-overlap]
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    x: _FloatLike_co,
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    old: _SeriesLikeFloat_co,
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    new: _SeriesLikeFloat_co,
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) -> np.floating: ...
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@overload
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def mapdomain(
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    x: _NumberLike_co,
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    old: _SeriesLikeComplex_co,
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    new: _SeriesLikeComplex_co,
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) -> np.complexfloating: ...
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@overload
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def mapdomain(  # type: ignore[overload-overlap]
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    x: npt.NDArray[np.floating | np.integer],
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    old: npt.NDArray[np.floating | np.integer],
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    new: npt.NDArray[np.floating | np.integer],
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) -> _FloatSeries: ...
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@overload
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def mapdomain(
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    x: npt.NDArray[np.number],
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    old: npt.NDArray[np.number],
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    new: npt.NDArray[np.number],
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) -> _ComplexSeries: ...
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@overload
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def mapdomain(
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    x: npt.NDArray[np.object_ | np.number],
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    old: npt.NDArray[np.object_ | np.number],
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    new: npt.NDArray[np.object_ | np.number],
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) -> _ObjectSeries: ...
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@overload
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def mapdomain(  # type: ignore[overload-overlap]
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    x: _SeriesLikeFloat_co,
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    old: _SeriesLikeFloat_co,
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    new: _SeriesLikeFloat_co,
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) -> _FloatSeries: ...
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@overload
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def mapdomain(
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    x: _SeriesLikeComplex_co,
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    old: _SeriesLikeComplex_co,
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    new: _SeriesLikeComplex_co,
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) -> _ComplexSeries: ...
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@overload
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def mapdomain(
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    x: _SeriesLikeCoef_co,
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    old: _SeriesLikeCoef_co,
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    new: _SeriesLikeCoef_co,
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) -> _ObjectSeries: ...
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@overload
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def mapdomain(
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    x: _CoefLike_co,
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    old: _SeriesLikeCoef_co,
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    new: _SeriesLikeCoef_co,
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) -> object: ...
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def _nth_slice(
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    i: SupportsIndex,
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    ndim: SupportsIndex,
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) -> tuple[slice | None, ...]: ...
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_vander_nd: _FuncVanderND[Literal["_vander_nd"]]
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_vander_nd_flat: _FuncVanderND[Literal["_vander_nd_flat"]]
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# keep in sync with `._polytypes._FuncFromRoots`
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@overload
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def _fromroots(  # type: ignore[overload-overlap]
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    line_f: _AnyLineF,
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    mul_f: _AnyMulF,
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    roots: _SeriesLikeFloat_co,
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) -> _FloatSeries: ...
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@overload
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def _fromroots(
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    line_f: _AnyLineF,
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    mul_f: _AnyMulF,
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    roots: _SeriesLikeComplex_co,
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) -> _ComplexSeries: ...
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@overload
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def _fromroots(
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    line_f: _AnyLineF,
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    mul_f: _AnyMulF,
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    roots: _SeriesLikeCoef_co,
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) -> _ObjectSeries: ...
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@overload
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def _fromroots(
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    line_f: _AnyLineF,
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    mul_f: _AnyMulF,
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    roots: _SeriesLikeCoef_co,
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) -> _CoefSeries: ...
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_valnd: _FuncValND[Literal["_valnd"]]
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_gridnd: _FuncValND[Literal["_gridnd"]]
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# keep in sync with `_polytypes._FuncBinOp`
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@overload
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def _div(  # type: ignore[overload-overlap]
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    mul_f: _AnyMulF,
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    c1: _SeriesLikeFloat_co,
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    c2: _SeriesLikeFloat_co,
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) -> _Tuple2[_FloatSeries]: ...
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@overload
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def _div(
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    mul_f: _AnyMulF,
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    c1: _SeriesLikeComplex_co,
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    c2: _SeriesLikeComplex_co,
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) -> _Tuple2[_ComplexSeries]: ...
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@overload
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def _div(
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    mul_f: _AnyMulF,
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    c1: _SeriesLikeCoef_co,
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    c2: _SeriesLikeCoef_co,
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) -> _Tuple2[_ObjectSeries]: ...
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@overload
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def _div(
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    mul_f: _AnyMulF,
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    c1: _SeriesLikeCoef_co,
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    c2: _SeriesLikeCoef_co,
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) -> _Tuple2[_CoefSeries]: ...
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_add: Final[_FuncBinOp]
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_sub: Final[_FuncBinOp]
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# keep in sync with `_polytypes._FuncPow`
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@overload
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def _pow(  # type: ignore[overload-overlap]
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    mul_f: _AnyMulF,
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    c: _SeriesLikeFloat_co,
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    pow: _AnyInt,
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    maxpower: _AnyInt | None = ...,
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) -> _FloatSeries: ...
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@overload
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def _pow(
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    mul_f: _AnyMulF,
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    c: _SeriesLikeComplex_co,
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    pow: _AnyInt,
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    maxpower: _AnyInt | None = ...,
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) -> _ComplexSeries: ...
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@overload
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def _pow(
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    mul_f: _AnyMulF,
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    c: _SeriesLikeCoef_co,
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    pow: _AnyInt,
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    maxpower: _AnyInt | None = ...,
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) -> _ObjectSeries: ...
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@overload
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def _pow(
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    mul_f: _AnyMulF,
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    c: _SeriesLikeCoef_co,
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    pow: _AnyInt,
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    maxpower: _AnyInt | None = ...,
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) -> _CoefSeries: ...
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# keep in sync with `_polytypes._FuncFit`
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@overload
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def _fit(  # type: ignore[overload-overlap]
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    vander_f: _AnyVanderF,
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    x: _SeriesLikeFloat_co,
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    y: _ArrayLikeFloat_co,
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    deg: _SeriesLikeInt_co,
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    domain: _SeriesLikeFloat_co | None = ...,
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    rcond: _FloatLike_co | None = ...,
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    full: Literal[False] = ...,
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    w: _SeriesLikeFloat_co | None = ...,
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) -> _FloatArray: ...
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@overload
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def _fit(
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    vander_f: _AnyVanderF,
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    x: _SeriesLikeComplex_co,
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    y: _ArrayLikeComplex_co,
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						|
    deg: _SeriesLikeInt_co,
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						|
    domain: _SeriesLikeComplex_co | None = ...,
 | 
						|
    rcond: _FloatLike_co | None = ...,
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						|
    full: Literal[False] = ...,
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    w: _SeriesLikeComplex_co | None = ...,
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						|
) -> _ComplexArray: ...
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@overload
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def _fit(
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    vander_f: _AnyVanderF,
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    x: _SeriesLikeCoef_co,
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						|
    y: _ArrayLikeCoef_co,
 | 
						|
    deg: _SeriesLikeInt_co,
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						|
    domain: _SeriesLikeCoef_co | None = ...,
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						|
    rcond: _FloatLike_co | None = ...,
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						|
    full: Literal[False] = ...,
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    w: _SeriesLikeCoef_co | None = ...,
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						|
) -> _CoefArray: ...
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@overload
 | 
						|
def _fit(
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    vander_f: _AnyVanderF,
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    x: _SeriesLikeCoef_co,
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						|
    y: _SeriesLikeCoef_co,
 | 
						|
    deg: _SeriesLikeInt_co,
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    domain: _SeriesLikeCoef_co | None,
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						|
    rcond: _FloatLike_co | None,
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    full: Literal[True],
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						|
    /,
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						|
    w: _SeriesLikeCoef_co | None = ...,
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						|
) -> tuple[_CoefSeries, Sequence[np.inexact | np.int32]]: ...
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						|
@overload
 | 
						|
def _fit(
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						|
    vander_f: _AnyVanderF,
 | 
						|
    x: _SeriesLikeCoef_co,
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						|
    y: _SeriesLikeCoef_co,
 | 
						|
    deg: _SeriesLikeInt_co,
 | 
						|
    domain: _SeriesLikeCoef_co | None = ...,
 | 
						|
    rcond: _FloatLike_co | None = ...,
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						|
    *,
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    full: Literal[True],
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						|
    w: _SeriesLikeCoef_co | None = ...,
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						|
) -> tuple[_CoefSeries, Sequence[np.inexact | np.int32]]: ...
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						|
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def _as_int(x: SupportsIndex, desc: str) -> int: ...
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						|
def format_float(x: _FloatLike_co, parens: bool = ...) -> str: ...
 |