Struct HermiteInterp 

pub struct HermiteInterp<T, const N: usize> { /* private fields */ }

Cubic Hermite interpolant (fixed-size, stack-allocated).

Uses user-supplied derivatives at each knot. Each segment is a cubic polynomial matching both value and first derivative at its endpoints. Requires at least 2 points.

Example

use numeris::interp::HermiteInterp;

// Interpolate sin(x) with known derivatives cos(x)
let xs = [0.0_f64, 1.0, 2.0];
let ys = [0.0_f64.sin(), 1.0_f64.sin(), 2.0_f64.sin()];
let dys = [0.0_f64.cos(), 1.0_f64.cos(), 2.0_f64.cos()];
let interp = HermiteInterp::new(xs, ys, dys).unwrap();
let mid = 0.5;
assert!((interp.eval(mid) - mid.sin()).abs() < 0.002);

Implementations

impl<T: FloatScalar, const N: usize> HermiteInterp<T, N>

pub fn new(xs: [T; N], ys: [T; N], dys: [T; N]) -> Result<Self, InterpError>

Construct a Hermite interpolant from knots and derivatives.

pub fn eval(&self, x: T) -> T

Evaluate the interpolant at x.

pub fn eval_derivative(&self, x: T) -> (T, T)

Evaluate the interpolant and its derivative at x.

pub fn xs(&self) -> &[T; N]

The knot x-values.

pub fn ys(&self) -> &[T; N]

The knot y-values.

Trait Implementations

impl<T: Clone, const N: usize> Clone for HermiteInterp<T, N>

fn clone(&self) -> HermiteInterp<T, N>

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<T: Debug, const N: usize> Debug for HermiteInterp<T, N>

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.