Function ou_step_seeded 

pub fn ou_step_seeded(
    x: f32,
    mu: f32,
    theta: f32,
    sigma: f32,
    dt: f32,
    seed: u32,
) -> (f32, u32)

Ornstein-Uhlenbeck step with deterministic seeded noise.

Generates one standard-normal sample from seed via prime_random::prng_gaussian, then applies ou_step. Threads the seed forward so callers can chain steps without external RNG state.

Arguments

• x, mu, theta, sigma, dt — same as ou_step
• seed — u32 RNG state (non-zero); threads forward deterministically

Returns

(x_next, next_seed) — new value and advanced seed.

Example

use prime_diffusion::ou_step_seeded;
let (x1, s1) = ou_step_seeded(1.0, 0.0, 0.5, 0.1, 0.01, 12345_u32);
let (x2, _)  = ou_step_seeded(x1,  0.0, 0.5, 0.1, 0.01, s1);
assert!(x1 != 1.0);