4545)
4646
4747if TYPE_CHECKING :
48+ from typing import TypeAlias
49+
4850 from pandas import Index
4951
52+ _CubicBC : TypeAlias = Literal ["not-a-knot" , "clamped" , "natural" , "periodic" ]
53+
5054
5155def check_value_size (value , mask : npt .NDArray [np .bool_ ], length : int ):
5256 """
@@ -652,7 +656,7 @@ def _akima_interpolate(
652656 xi : np .ndarray ,
653657 yi : np .ndarray ,
654658 x : np .ndarray ,
655- der : int | list [ int ] | None = 0 ,
659+ der : int = 0 ,
656660 axis : AxisInt = 0 ,
657661):
658662 """
@@ -673,10 +677,8 @@ def _akima_interpolate(
673677 x : np.ndarray
674678 Of length M.
675679 der : int, optional
676- How many derivatives to extract; None for all potentially
677- nonzero derivatives (that is a number equal to the number
678- of points), or a list of derivatives to extract. This number
679- includes the function value as 0th derivative.
680+ How many derivatives to extract. This number includes the function
681+ value as 0th derivative.
680682 axis : int, optional
681683 Axis in the yi array corresponding to the x-coordinate values.
682684
@@ -702,9 +704,9 @@ def _cubicspline_interpolate(
702704 yi : np .ndarray ,
703705 x : np .ndarray ,
704706 axis : AxisInt = 0 ,
705- bc_type : str | tuple [Any , Any ] = "not-a-knot" ,
706- extrapolate = None ,
707- ):
707+ bc_type : _CubicBC | tuple [Any , Any ] = "not-a-knot" ,
708+ extrapolate : Literal [ "periodic" ] | bool | None = None ,
709+ ) -> np . ndarray :
708710 """
709711 Convenience function for cubic spline data interpolator.
710712
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