Struct BezierParameterPolynomial 

pub struct BezierParameterPolynomial { /* private fields */ }

Power-basis polynomial used to define an algebraic Bezier parameter.

Coefficients are stored from low to high degree, so coefficients()[0] is the constant term. Constructors trim certified trailing zero coefficients and reject the structurally zero polynomial. Unknown leading-zero status is reported as Classification::Uncertain so a topology caller cannot silently choose the wrong degree.

Implementations

impl BezierParameterPolynomial

pub fn try_new_power_basis( coefficients: Vec<Real>, policy: &CurvePolicy, ) -> CurveResult<Classification<Self>>

Constructs a nonzero power-basis polynomial.

pub fn coefficients(&self) -> &[Real]

Returns coefficients in low-to-high power-basis order.

pub fn degree(&self) -> usize

Returns the certified degree.

pub fn evaluate(&self, parameter: &Real) -> Real

Evaluates the polynomial at parameter using Horner’s rule.

pub fn root_count_in_interval( &self, interval: &BezierParameterInterval, policy: &CurvePolicy, ) -> CurveResult<Classification<usize>>

Counts distinct roots in interval using a Sturm sequence.

The interval endpoints must not themselves be roots. Endpoint roots are legitimate split parameters, but they should be represented with BezierParameter2::Exact or isolated by a narrower interval. This avoids half-open endpoint conventions leaking into arrangement code.

Trait Implementations

impl Clone for BezierParameterPolynomial

fn clone(&self) -> BezierParameterPolynomial

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for BezierParameterPolynomial

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

Formats the value using the given formatter.

impl PartialEq for BezierParameterPolynomial

fn eq(&self, other: &BezierParameterPolynomial) -> 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 BezierParameterPolynomial