polire/trend/polynomials.py

"""File containing polynomials supported by Trend interpolation
Class.
"""


def _create_polynomial(order):
    if order is None:  # custom function by the user
        return None

    elif order == 0:

        def func(X, a):
            return a

    elif order == 1:

        def func(X, a, b, c):
            x1, x2 = X
            return a + b * x1 + c * x2

    elif order == 2:

        def func(X, a, b, c, d, e, f):
            x1, x2 = X
            return (
                a
                + b * x1
                + c * x2
                + d * (x1**2)
                + e * (x1**2)
                + f * x1 * x2
            )

    else:
        raise NotImplementedError(
            f"{order} order polynomial needs to be defined manually"
        )

    return func