Struct ChebyshevPolynomial 

pub struct ChebyshevPolynomial {
    pub degree: usize,
}

Chebyshev polynomial of the first kind

Fields

degree: usize

Polynomial degree

Implementations

impl ChebyshevPolynomial

pub fn new(degree: usize) -> Self

Create Chebyshev polynomial T_n

pub fn eval(&self, x: f64) -> f64

Evaluate T_n(x) using recurrence T_0(x) = 1, T_1(x) = x, T_{n+1}(x) = 2x·T_n(x) - T_{n-1}(x)

pub fn eval_all(x: f64, max_degree: usize) -> Vec<f64>

Evaluate all Chebyshev polynomials T_0(x) through T_n(x)

pub fn nodes(n: usize) -> Vec<f64>

Chebyshev nodes for interpolation: x_k = cos((2k+1)π/(2n))

pub fn derivative(&self, x: f64) -> f64

Derivative: T’n(x) = n * U{n-1}(x) where U is Chebyshev of second kind

Trait Implementations

impl Clone for ChebyshevPolynomial

fn clone(&self) -> ChebyshevPolynomial

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for ChebyshevPolynomial

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

Formats the value using the given formatter.