const A: f64 = 270.0;
const B: f64 = 108.0;
const D: f64 = 0.154;
#[inline]
fn phi(i_syn: f64) -> f64 {
let x = A * i_syn - B;
if x.abs() < 1e-6 {
1.0 / D
} else {
x / (1.0 - (-D * x).exp())
}
}
#[allow(clippy::too_many_arguments)]
pub fn simulate(
mut s1: f64,
mut s2: f64,
tau_s: f64,
gamma: f64,
j_n: f64,
j_cross: f64,
i_0: f64,
sigma: f64,
dt: f64,
stim1: &[f64],
stim2: &[f64],
xi: &[f64],
s1_out: &mut [f64],
s2_out: &mut [f64],
r1_out: &mut [f64],
r2_out: &mut [f64],
) -> (f64, f64) {
let n = stim1.len();
assert_eq!(stim2.len(), n, "stim2 length mismatch");
assert_eq!(xi.len(), 2 * n, "xi length must be 2 * n_steps");
assert_eq!(s1_out.len(), n, "s1_out length mismatch");
assert_eq!(s2_out.len(), n, "s2_out length mismatch");
assert_eq!(r1_out.len(), n, "r1_out length mismatch");
assert_eq!(r2_out.len(), n, "r2_out length mismatch");
for t in 0..n {
let xi1 = xi[2 * t];
let xi2 = xi[2 * t + 1];
let i1 = j_n * s1 - j_cross * s2 + i_0 + stim1[t] + sigma * xi1;
let i2 = j_n * s2 - j_cross * s1 + i_0 + stim2[t] + sigma * xi2;
let r1 = phi(i1);
let r2 = phi(i2);
s1 += (-s1 / tau_s + (1.0 - s1) * gamma * r1) * dt;
s2 += (-s2 / tau_s + (1.0 - s2) * gamma * r2) * dt;
s1 = s1.clamp(0.0, 1.0);
s2 = s2.clamp(0.0, 1.0);
s1_out[t] = s1;
s2_out[t] = s2;
r1_out[t] = r1;
r2_out[t] = r2;
}
(s1, s2)
}
#[cfg(test)]
mod tests {
use super::*;
fn params() -> (f64, f64, f64, f64, f64, f64, f64) {
(0.1, 0.641, 0.2609, 0.0497, 0.3255, 0.0, 0.001)
}
#[test]
fn phi_singularity_guard_returns_finite() {
let r = phi(B / A);
assert!(r.is_finite());
assert!((r - 1.0 / D).abs() < 1e-6);
}
#[test]
fn phi_monotone_increasing() {
let lo = phi(0.5);
let hi = phi(1.0);
assert!(hi > lo);
}
#[test]
fn zero_noise_zero_stim_converges_to_fixed_point() {
let (tau_s, gamma, j_n, j_cross, i_0, _, dt) = params();
let n = 10_000;
let stim = vec![0.0_f64; n];
let xi = vec![0.0_f64; 2 * n];
let mut s1o = vec![0.0_f64; n];
let mut s2o = vec![0.0_f64; n];
let mut r1o = vec![0.0_f64; n];
let mut r2o = vec![0.0_f64; n];
let (s1_f, s2_f) = simulate(
0.1, 0.1, tau_s, gamma, j_n, j_cross, i_0, 0.0, dt, &stim, &stim, &xi, &mut s1o,
&mut s2o, &mut r1o, &mut r2o,
);
assert!(s1_f.is_finite() && s2_f.is_finite());
assert!((0.0..=1.0).contains(&s1_f));
assert!((0.0..=1.0).contains(&s2_f));
assert!(
(s1_f - s2_f).abs() < 1e-9,
"symmetric init must stay symmetric under zero noise"
);
}
#[test]
fn biased_stimulus_drives_winner() {
let (tau_s, gamma, j_n, j_cross, i_0, _, dt) = params();
let n = 50_000;
let stim1 = vec![0.2_f64; n];
let stim2 = vec![0.0_f64; n];
let xi = vec![0.0_f64; 2 * n];
let mut s1o = vec![0.0_f64; n];
let mut s2o = vec![0.0_f64; n];
let mut r1o = vec![0.0_f64; n];
let mut r2o = vec![0.0_f64; n];
let (s1_f, s2_f) = simulate(
0.1, 0.1, tau_s, gamma, j_n, j_cross, i_0, 0.0, dt, &stim1, &stim2, &xi, &mut s1o,
&mut s2o, &mut r1o, &mut r2o,
);
assert!(s1_f > 0.5, "winner s1 should reach attractor; got {s1_f}");
assert!(s2_f < 0.2, "loser s2 should be suppressed; got {s2_f}");
}
#[test]
fn output_trace_shape_matches_input() {
let n = 128;
let stim = vec![0.1_f64; n];
let xi = vec![0.0_f64; 2 * n];
let mut s1o = vec![0.0_f64; n];
let mut s2o = vec![0.0_f64; n];
let mut r1o = vec![0.0_f64; n];
let mut r2o = vec![0.0_f64; n];
simulate(
0.1, 0.1, 0.1, 0.641, 0.2609, 0.0497, 0.3255, 0.0, 0.001, &stim, &stim, &xi, &mut s1o,
&mut s2o, &mut r1o, &mut r2o,
);
assert!(r1o.iter().all(|&r| r > 0.0));
assert!(r2o.iter().all(|&r| r > 0.0));
}
#[test]
#[should_panic(expected = "xi length must be 2 * n_steps")]
fn mismatched_xi_length_panics() {
let n = 10;
let stim = vec![0.0_f64; n];
let xi = vec![0.0_f64; n]; let mut s1o = vec![0.0_f64; n];
let mut s2o = vec![0.0_f64; n];
let mut r1o = vec![0.0_f64; n];
let mut r2o = vec![0.0_f64; n];
simulate(
0.1, 0.1, 0.1, 0.641, 0.2609, 0.0497, 0.3255, 0.0, 0.001, &stim, &stim, &xi, &mut s1o,
&mut s2o, &mut r1o, &mut r2o,
);
}
}