2026-1-6
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180
venv/Lib/site-packages/numpy/polynomial/chebyshev.pyi
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180
venv/Lib/site-packages/numpy/polynomial/chebyshev.pyi
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from _typeshed import ConvertibleToInt
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from collections.abc import Callable, Iterable
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from typing import (
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Any,
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ClassVar,
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Concatenate,
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Final,
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Literal as L,
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Self,
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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 _IntLike_co
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from ._polybase import ABCPolyBase
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from ._polytypes import (
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_Array1,
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_Array2,
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_CoefSeries,
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_FuncBinOp,
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_FuncCompanion,
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_FuncDer,
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_FuncFit,
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_FuncFromRoots,
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_FuncGauss,
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_FuncInteg,
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_FuncLine,
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_FuncPoly2Ortho,
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_FuncPow,
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_FuncRoots,
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_FuncUnOp,
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_FuncVal,
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_FuncVal2D,
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_FuncVal3D,
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_FuncVander,
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_FuncVander2D,
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_FuncVander3D,
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_FuncWeight,
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_Series,
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_SeriesLikeCoef_co,
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)
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from .polyutils import trimcoef as chebtrim
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__all__ = [
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"chebzero",
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"chebone",
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"chebx",
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"chebdomain",
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"chebline",
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"chebadd",
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"chebsub",
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"chebmulx",
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"chebmul",
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"chebdiv",
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"chebpow",
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"chebval",
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"chebder",
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"chebint",
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"cheb2poly",
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"poly2cheb",
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"chebfromroots",
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"chebvander",
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"chebfit",
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"chebtrim",
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"chebroots",
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"chebpts1",
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"chebpts2",
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"Chebyshev",
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"chebval2d",
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"chebval3d",
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"chebgrid2d",
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"chebgrid3d",
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"chebvander2d",
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"chebvander3d",
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"chebcompanion",
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"chebgauss",
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"chebweight",
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"chebinterpolate",
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]
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_NumberOrObjectT = TypeVar("_NumberOrObjectT", bound=np.number | np.object_)
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_CoefScalarT = TypeVar("_CoefScalarT", bound=np.number | np.bool | np.object_)
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def _cseries_to_zseries(c: npt.NDArray[_NumberOrObjectT]) -> _Series[_NumberOrObjectT]: ...
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def _zseries_to_cseries(zs: npt.NDArray[_NumberOrObjectT]) -> _Series[_NumberOrObjectT]: ...
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def _zseries_mul(z1: npt.NDArray[_NumberOrObjectT], z2: npt.NDArray[_NumberOrObjectT]) -> _Series[_NumberOrObjectT]: ...
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def _zseries_div(z1: npt.NDArray[_NumberOrObjectT], z2: npt.NDArray[_NumberOrObjectT]) -> _Series[_NumberOrObjectT]: ...
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def _zseries_der(zs: npt.NDArray[_NumberOrObjectT]) -> _Series[_NumberOrObjectT]: ...
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def _zseries_int(zs: npt.NDArray[_NumberOrObjectT]) -> _Series[_NumberOrObjectT]: ...
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poly2cheb: Final[_FuncPoly2Ortho] = ...
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cheb2poly: Final[_FuncUnOp] = ...
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chebdomain: Final[_Array2[np.float64]] = ...
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chebzero: Final[_Array1[np.int_]] = ...
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chebone: Final[_Array1[np.int_]] = ...
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chebx: Final[_Array2[np.int_]] = ...
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chebline: Final[_FuncLine] = ...
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chebfromroots: Final[_FuncFromRoots] = ...
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chebadd: Final[_FuncBinOp] = ...
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chebsub: Final[_FuncBinOp] = ...
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chebmulx: Final[_FuncUnOp] = ...
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chebmul: Final[_FuncBinOp] = ...
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chebdiv: Final[_FuncBinOp] = ...
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chebpow: Final[_FuncPow] = ...
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chebder: Final[_FuncDer] = ...
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chebint: Final[_FuncInteg] = ...
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chebval: Final[_FuncVal] = ...
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chebval2d: Final[_FuncVal2D] = ...
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chebval3d: Final[_FuncVal3D] = ...
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chebgrid2d: Final[_FuncVal2D] = ...
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chebgrid3d: Final[_FuncVal3D] = ...
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chebvander: Final[_FuncVander] = ...
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chebvander2d: Final[_FuncVander2D] = ...
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chebvander3d: Final[_FuncVander3D] = ...
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chebfit: Final[_FuncFit] = ...
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chebcompanion: Final[_FuncCompanion] = ...
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chebroots: Final[_FuncRoots] = ...
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chebgauss: Final[_FuncGauss] = ...
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chebweight: Final[_FuncWeight] = ...
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def chebpts1(npts: ConvertibleToInt) -> np.ndarray[tuple[int], np.dtype[np.float64]]: ...
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def chebpts2(npts: ConvertibleToInt) -> np.ndarray[tuple[int], np.dtype[np.float64]]: ...
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# keep in sync with `Chebyshev.interpolate` (minus `domain` parameter)
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@overload
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def chebinterpolate(
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func: np.ufunc,
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deg: _IntLike_co,
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args: tuple[()] = (),
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) -> npt.NDArray[np.float64 | np.complex128 | np.object_]: ...
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@overload
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def chebinterpolate(
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func: Callable[[npt.NDArray[np.float64]], _CoefScalarT],
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deg: _IntLike_co,
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args: tuple[()] = (),
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) -> npt.NDArray[_CoefScalarT]: ...
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@overload
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def chebinterpolate(
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func: Callable[Concatenate[npt.NDArray[np.float64], ...], _CoefScalarT],
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deg: _IntLike_co,
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args: Iterable[Any],
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) -> npt.NDArray[_CoefScalarT]: ...
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class Chebyshev(ABCPolyBase[L["T"]]):
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basis_name: ClassVar[L["T"]] = "T" # pyright: ignore[reportIncompatibleMethodOverride]
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domain: _Array2[np.float64 | Any] = ... # pyright: ignore[reportIncompatibleMethodOverride]
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window: _Array2[np.float64 | Any] = ... # pyright: ignore[reportIncompatibleMethodOverride]
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@overload
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@classmethod
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def interpolate(
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cls,
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func: Callable[[npt.NDArray[np.float64]], _CoefSeries],
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deg: _IntLike_co,
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domain: _SeriesLikeCoef_co | None = None,
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args: tuple[()] = (),
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) -> Self: ...
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@overload
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@classmethod
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def interpolate(
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cls,
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func: Callable[Concatenate[npt.NDArray[np.float64], ...], _CoefSeries],
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deg: _IntLike_co,
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domain: _SeriesLikeCoef_co | None = None,
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*,
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args: Iterable[Any],
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) -> Self: ...
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@overload
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@classmethod
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def interpolate(
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cls,
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func: Callable[Concatenate[npt.NDArray[np.float64], ...], _CoefSeries],
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deg: _IntLike_co,
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domain: _SeriesLikeCoef_co | None,
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args: Iterable[Any],
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) -> Self: ...
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