Struct Interpolate2D 

pub struct Interpolate2D<T> {
    pub x_min: T,
    pub x_max: T,
    pub y_min: T,
    pub y_max: T,
    pub coeffs: DTensor<T, 2>,
    pub gauss_x: Rule<T>,
    pub gauss_y: Rule<T>,
}

2D interpolation object for a single grid cell

This structure stores pre-computed polynomial coefficients for efficient interpolation within a single grid cell.

Fields

x_min: T

Cell boundaries

x_max: T

y_min: T

y_max: T

coeffs: DTensor<T, 2>

Pre-computed polynomial coefficients

gauss_x: Rule<T>

Grid points (for validation)

gauss_y: Rule<T>

Implementations

impl<T: CustomNumeric + Debug + 'static> Interpolate2D<T>

pub fn new(values: &DTensor<T, 2>, gauss_x: &Rule<T>, gauss_y: &Rule<T>) -> Self

Create a new Interpolate2D object from grid values

Arguments

• values - Function values at grid points
• gauss_x - x-direction grid points (can be in any range)
• gauss_y - y-direction grid points (can be in any range)

Panics

Panics if dimensions don’t match or if grid is empty

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

Interpolate the function at point (x, y)

Arguments

• x - x-coordinate
• y - y-coordinate

Panics

Panics if (x, y) is outside the cell boundaries

pub fn coefficients(&self) -> &DTensor<T, 2>

Get the coefficient matrix

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

Get cell boundaries

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

Get domain boundaries (alias for bounds)

pub fn n_points_x(&self) -> usize

Get the number of interpolation points in x direction

pub fn n_points_y(&self) -> usize

Get the number of interpolation points in y direction

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

Evaluate the interpolated function at a given point (alias for interpolate)

Trait Implementations

impl<T: Clone> Clone for Interpolate2D<T>

fn clone(&self) -> Interpolate2D<T>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T: Debug> Debug for Interpolate2D<T>

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

Formats the value using the given formatter.