interpax.CubicHermiteSpline.__call__

CubicHermiteSpline.__call__(x: Num[Array, '...'] | Num[ndarray, '...'] | number | int | float | complex, nu: int = 0, extrapolate: bool | str | None = None) → Inexact[Array, '...']Source

Evaluate the piecewise polynomial or its derivative.

Parameters:

• x (array_like) – Points to evaluate the interpolant at.

• nu (int, optional) – Order of derivative to evaluate. Must be non-negative.

• extrapolate ({bool, 'periodic', None}, optional) – If bool, determines whether to extrapolate to out-of-bounds points based on first and last intervals, or to return NaNs. If ‘periodic’, periodic extrapolation is used. If None (default), use self.extrapolate.

Returns:

y (array_like) – Interpolated values. Shape is determined by replacing the interpolation axis in the original array with the shape of x.

Notes

Derivatives are evaluated piecewise for each polynomial segment, even if the polynomial is not differentiable at the breakpoints. The polynomial intervals are considered half-open, [a, b), except for the last interval which is closed [a, b].