Struct Interpolate1D 

pub struct Interpolate1D<T> {
    pub x_min: T,
    pub x_max: T,
    pub coeffs: Vec<T>,
    pub gauss_rule: Rule<T>,
}

1D interpolator with pre-computed Legendre polynomial coefficients

This struct stores pre-computed interpolation coefficients and domain information for efficient 1D interpolation using Legendre polynomials.

Fields

x_min: T

Left boundary of interpolation domain

x_max: T

Right boundary of interpolation domain

coeffs: Vec<T>

Pre-computed Legendre polynomial coefficients

gauss_rule: Rule<T>

Gauss quadrature rule used for interpolation

Implementations

impl<T: CustomNumeric + Debug + Clone + 'static> Interpolate1D<T>

pub fn new(values: &[T], gauss_rule: &Rule<T>) -> Self

Create a new 1D interpolator from function values and Gauss rule

Arguments

• values - Function values at Gauss points
• gauss_rule - Gauss quadrature rule

Returns

New Interpolate1D instance with pre-computed coefficients

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

Evaluate the interpolated function at a given point

Arguments

• x - Point to evaluate at (must be within [x_min, x_max])

Returns

Interpolated value at x

Panics

Panics if x is outside the interpolation domain [x_min, x_max]

pub fn domain(&self) -> (T, T)

Get the domain boundaries

pub fn n_points(&self) -> usize

Get the number of interpolation points

Trait Implementations

impl<T: Clone> Clone for Interpolate1D<T>

fn clone(&self) -> Interpolate1D<T>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T: Debug> Debug for Interpolate1D<T>

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

Formats the value using the given formatter.