Struct PowerSaturation 

pub struct PowerSaturation;

Power-law saturation: amplitude · (1 − (1 + rate·x/2)^(−2))

Parameters (in order): [amplitude, rate]

This is the Misra1b NIST StRD model. It describes a growth process approaching a saturation level amplitude with a power-law rather than exponential approach. For rate > 0 and x ≥ 0 the function rises monotonically from 0 to amplitude.

Analytic Jacobian: Let u = 1 + rate·x/2.

• ∂y/∂amplitude = 1 − u^(−2)
• ∂y/∂rate = amplitude · x · u^(−3)

Note: amplitude is the asymptotic saturation level, NOT a peak-at-center value as in the peak-model convention documented in docs/reference/models/index.md.

Trait Implementations

impl Model for PowerSaturation

fn eval(&self, x: &[f64], p: &[f64]) -> f64

Evaluate the model at coordinate x with the given params.

fn jacobian_into(&self, x: &[f64], p: &[f64], out: &mut [f64])

Fill a pre-allocated slice with Jacobian values (one entry per parameter).

fn jacobian(&self, x: &[f64], p: &[f64]) -> Vec<f64>

Jacobian — one derivative per parameter, in the same order as param_names().

fn param_names(&self) -> Vec<Cow<'static, str>>

Ordered parameter names, matching the layout expected by eval and jacobian.

fn eval_slice_into(&self, xs: &[f64], params: &[f64], out: &mut [f64])

Batch evaluation of a 1-D model: fill out[i] = eval([xs[i]], params).

fn jac_slice_into(&self, xs: &[f64], params: &[f64], out: &mut [f64])

Batch Jacobian for a 1-D model: fill out in row-major layout [i * params.len() + j] = d(model)/d(params[j]) at xs[i].

fn n_dims(&self) -> usize

Number of coordinate dimensions consumed from x. Defaults to 1.