pub fn cubic_spline_kernel_batch(r: &[f64], h: f64) -> Vec<f64>Expand description
Evaluate the cubic spline kernel (M4 kernel) for a batch of distances.
The cubic spline kernel is widely used in Smoothed Particle Hydrodynamics (SPH). It is defined in 3D as:
W(r, h) = σ * { (2-q)^3 - 4*(1-q)^3 if 0 ≤ q < 1
{ (2-q)^3 if 1 ≤ q < 2
{ 0 if q ≥ 2where q = r/h and σ = 1/(4π h³) is the 3D normalization constant.
§Arguments
r- batch of distancesh- smoothing length (must be positive)
§Returns
Vector of kernel values. Returns empty vec if h is not positive.