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182 lines
4.7 KiB
Python
182 lines
4.7 KiB
Python
from collections.abc import Callable, Iterable
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from typing import Any, Concatenate, Final, Self, TypeVar, overload
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from typing import Literal as L
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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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_FuncPts,
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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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_FuncValFromRoots,
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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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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(
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z1: npt.NDArray[_NumberOrObjectT],
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z2: npt.NDArray[_NumberOrObjectT],
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) -> _Series[_NumberOrObjectT]: ...
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def _zseries_div(
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z1: npt.NDArray[_NumberOrObjectT],
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z2: npt.NDArray[_NumberOrObjectT],
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) -> _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: _FuncPoly2Ortho[L["poly2cheb"]]
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cheb2poly: _FuncUnOp[L["cheb2poly"]]
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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: _FuncLine[L["chebline"]]
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chebfromroots: _FuncFromRoots[L["chebfromroots"]]
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chebadd: _FuncBinOp[L["chebadd"]]
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chebsub: _FuncBinOp[L["chebsub"]]
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chebmulx: _FuncUnOp[L["chebmulx"]]
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chebmul: _FuncBinOp[L["chebmul"]]
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chebdiv: _FuncBinOp[L["chebdiv"]]
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chebpow: _FuncPow[L["chebpow"]]
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chebder: _FuncDer[L["chebder"]]
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chebint: _FuncInteg[L["chebint"]]
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chebval: _FuncVal[L["chebval"]]
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chebval2d: _FuncVal2D[L["chebval2d"]]
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chebval3d: _FuncVal3D[L["chebval3d"]]
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chebvalfromroots: _FuncValFromRoots[L["chebvalfromroots"]]
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chebgrid2d: _FuncVal2D[L["chebgrid2d"]]
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chebgrid3d: _FuncVal3D[L["chebgrid3d"]]
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chebvander: _FuncVander[L["chebvander"]]
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chebvander2d: _FuncVander2D[L["chebvander2d"]]
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chebvander3d: _FuncVander3D[L["chebvander3d"]]
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chebfit: _FuncFit[L["chebfit"]]
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chebcompanion: _FuncCompanion[L["chebcompanion"]]
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chebroots: _FuncRoots[L["chebroots"]]
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chebgauss: _FuncGauss[L["chebgauss"]]
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chebweight: _FuncWeight[L["chebweight"]]
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chebpts1: _FuncPts[L["chebpts1"]]
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chebpts2: _FuncPts[L["chebpts2"]]
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# keep in sync with `Chebyshev.interpolate`
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_RT = TypeVar("_RT", bound=np.number | np.bool | np.object_)
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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]], _RT],
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deg: _IntLike_co,
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args: tuple[()] = ...,
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) -> npt.NDArray[_RT]: ...
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@overload
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def chebinterpolate(
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func: Callable[Concatenate[npt.NDArray[np.float64], ...], _RT],
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deg: _IntLike_co,
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args: Iterable[Any],
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) -> npt.NDArray[_RT]: ...
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class Chebyshev(ABCPolyBase[L["T"]]):
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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 = ...,
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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[
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Concatenate[npt.NDArray[np.float64], ...],
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_CoefSeries,
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],
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deg: _IntLike_co,
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domain: _SeriesLikeCoef_co | 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[
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Concatenate[npt.NDArray[np.float64], ...],
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_CoefSeries,
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],
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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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