Struct MultivectorField 

pub struct MultivectorField<const P: usize, const Q: usize, const R: usize> { /* private fields */ }

A general multivector field F: ℝⁿ → Cl(p,q,r)

Represents a function that maps points in n-dimensional space to general multivectors (not necessarily grade-1).

Implementations

impl<const P: usize, const Q: usize, const R: usize> MultivectorField<P, Q, R>

pub fn new(function: fn(&[f64]) -> Multivector<P, Q, R>) -> Self

Create a new multivector field from a function

pub fn with_dimension( function: fn(&[f64]) -> Multivector<P, Q, R>, dim: usize, ) -> Self

Create a multivector field with explicit dimension

pub fn evaluate(&self, coords: &[f64]) -> Multivector<P, Q, R>

Evaluate the multivector field at a point

pub fn dimension(&self) -> usize

Get the domain dimension

pub fn partial_derivative( &self, coords: &[f64], axis: usize, h: f64, ) -> CalculusResult<Multivector<P, Q, R>>

Compute numerical derivative of multivector field component along coordinate axis

Arguments

• coords - Point at which to compute derivative
• axis - Coordinate axis index
• h - Step size (default: 1e-5)

Trait Implementations

impl<const P: usize, const Q: usize, const R: usize> Clone for MultivectorField<P, Q, R>

fn clone(&self) -> MultivectorField<P, Q, R>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<const P: usize, const Q: usize, const R: usize> Debug for MultivectorField<P, Q, R>

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

Formats the value using the given formatter.