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