Struct dzahui::solvers::fem::basis::single_variable::polynomials_1d::FirstDegreePolynomial

pub struct FirstDegreePolynomial {
    pub(crate) coefficient: f64,
    pub(crate) independent_term: f64,
}

General Information

A simple, first degree polynomial in one variable.

Fields

• coefficient - constant that multiplies variable.
• independent_term - constant that adds to variable.

Fields

coefficient: f64

independent_term: f64

Implementations

impl FirstDegreePolynomial

pub fn new(coefficient: f64, independent_term: f64) -> FirstDegreePolynomial

Normal constructor.

pub fn zero() -> FirstDegreePolynomial

Zero function factory.

pub fn constant(independent_term: f64) -> FirstDegreePolynomial

Constant function factory.

pub fn transformation_to_0_1(beg: f64, end: f64) -> FirstDegreePolynomial

Transformation from any interval to [0,1].

pub fn transformation_from_m1_p1(beg: f64, end: f64) -> FirstDegreePolynomial

Transformation from [-1,1] to any interval.

pub fn phi_1() -> FirstDegreePolynomial

pub fn phi_2() -> FirstDegreePolynomial

Trait Implementations

impl Composable1D<FirstDegreePolynomial, FirstDegreePolynomial> for FirstDegreePolynomial

fn compose(
    self,
    other: FirstDegreePolynomial
) -> Result<FirstDegreePolynomial, Error>

Specific Implementation

Composition of two first degree polynomials results in another polynomial.

impl Composable1D<FirstDegreePolynomial, SecondDegreePolynomial> for SecondDegreePolynomial

fn compose(
    self,
    other: FirstDegreePolynomial
) -> Result<SecondDegreePolynomial, Error>

Specific implementation

Composing a second degree polynomial with a first degree polynomial gives another second degree polynomial.

impl Debug for FirstDegreePolynomial

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

Formats the value using the given formatter.

impl Differentiable1D<FirstDegreePolynomial> for FirstDegreePolynomial

fn differentiate(&self) -> Result<FirstDegreePolynomial, Error>

Specific Implementation

Differentiation of a first degree polynomial results in a constant.

impl Differentiable1D<FirstDegreePolynomial> for SecondDegreePolynomial

fn differentiate(&self) -> Result<FirstDegreePolynomial, Error>

Specific Implementation

Differentiation of a second degree polynomial results on a first degree polynomial.

impl Function1D for FirstDegreePolynomial

fn evaluate(&self, x: f64) -> f64

Specific Implementation

Simple evaluation of a polynomial.

impl PartialEq<FirstDegreePolynomial> for FirstDegreePolynomial

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

This method tests for self and other values to be equal, and is used by ==.

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

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

impl StructuralPartialEq for FirstDegreePolynomial