Struct PatchField2

pub struct PatchField2 {
    pub u_breaks: Vec<Scalar>,
    pub v_breaks: Vec<Scalar>,
    pub u_degree: usize,
    pub v_degree: usize,
    pub patches: Vec<Vec<Scalar>>,
}

A piecewise polynomial field: on each cell of the grid of u_breaks by v_breaks, a tensor-product Bernstein polynomial of degree (u_degree, v_degree) in the cell’s local coordinates s, t in [0, 1]. Its coefficients bound it (the convex hull property), which is what makes a trace on it certified.

Fields

u_breaks: Vec<Scalar>

Cell boundaries along u, increasing.

v_breaks: Vec<Scalar>

Cell boundaries along v, increasing.

u_degree: usize

Degree along u.

v_degree: usize

Degree along v.

patches: Vec<Vec<Scalar>>

Per cell (index i * (v_breaks.len() - 1) + j for cell i along u and j along v), the coefficients, index a * (v_degree + 1) + b.

Implementations

impl PatchField2

pub fn jet(&self, p: Point2) -> Jet2

Value, gradient and Hessian at p; beyond the grid, the nearest edge cell’s polynomial continued.

pub fn magnitude(&self) -> Scalar

The largest coefficient: a bound on the field’s size (convex hull).

pub fn is_finite(&self) -> bool

Whether every number is finite.

pub fn bound(&self, cell: &Cell) -> Range

A bound over the box: the hull of every overlapping cell’s coefficients restricted to the box.

pub fn partial(&self, along_u: bool) -> Self

The partial derivative along u (along_u) or v, in the same cells, one degree lower along that axis.

Trait Implementations

impl Clone for PatchField2

fn clone(&self) -> PatchField2

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for PatchField2

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

Formats the value using the given formatter.

impl PartialEq for PatchField2

fn eq(&self, other: &PatchField2) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl StructuralPartialEq for PatchField2