Function t_to_s_topp3 

pub fn t_to_s_topp3(
    s: &[f64],
    a: &[f64],
    b: &[f64],
    num_stationary: (usize, usize),
    t_s: &[f64],
    mode: InterpolationMode<'_>,
) -> Vec<f64>

Interpolate inverse mapping s(t) from a(s), b(s), and sampled t(s).

Modes

• UniformTimeGrid(t0, dt, include_final): generate uniform time samples;
• NonUniformTimeGrid(t_sample): use caller-provided increasing samples.

Input contract

• requires s.len() >= 2, a.len() == s.len(), b.len() == s.len(), t_s.len() == s.len();
• requires t_s strictly increasing;
• invalid input returns empty vector.

Output semantics

• output length matches requested sample count in each mode;
• for out-of-range time samples, output entries are NaN.

Returns

Returns sampled s(t) values under the requested interpolation mode.

Errors

This function does not return Result; malformed inputs are mapped to empty output.

Contract

• preserves caller time-sample ordering.
• never panics on invalid user data paths (returns empty vector).