skrf.mathFunctions.rational_interp

skrf.mathFunctions.rational_interp(x, y, d=4, epsilon=1e-09, axis=0)[source]

Interpolates function using rational polynomials of degree d.

Interpolating function is singular when xi is exactly one of the original x points. If xi is closer than epsilon to one of the original points, then the value at that points is returned instead.

Implementation is based on 1.

Parameters

  • x (npy.ndarray) –

  • y (npy.ndarray) –

  • d (int, optional) – order ot the polynomial, by default 4

  • epsilon (float, optional) – numerical tolerance, by default 1e-9

  • axis (int, optional) – axis to operate on, by default 0

Returns

fx – Interpolate function

Return type

Callable

Raises

NotImplementedError – if axis != 0.

References

1

    1. Floater and K. Hormann, “Barycentric rational interpolation with no poles and high rates of approximation,” Numer. Math., vol. 107, no. 2, pp. 315-331, Aug. 2007