tfg.math.spherical_harmonics.evaluate_legendre_polynomial

Evaluates the Legendre polynomial of degree l and order m at x.

tfg.math.spherical_harmonics.evaluate_legendre_polynomial(
    degree_l: TensorLike, order_m: TensorLike, x: TensorLike
) -> TensorLike

Note
This function is implementing the algorithm described in p. 10 of `Spherical Harmonic Lighting: The Gritty Details`.

Note
In the following, A1 to An are optional batch dimensions.

Args
`degree_l`	An integer tensor of shape `[A1, ..., An]` corresponding to the degree of the associated Legendre polynomial. Note that `degree_l` must be non-negative.
`order_m`	An integer tensor of shape `[A1, ..., An]` corresponding to the order of the associated Legendre polynomial. Note that `order_m` must satisfy `0 <= order_m <= l`.
`x`	A tensor of shape `[A1, ..., An]` with values in [-1,1].

Returns
A tensor of shape `[A1, ..., An]` containing the evaluation of the legendre polynomial.

Note