Struct Polynomial 

pub struct Polynomial<T> { /* private fields */ }

A polynomial represented as a vector of coefficients.

Implementations

impl<T> Polynomial<T>

pub const fn new(coefficients: Vec<T>) -> Self

Create a new polynomial from a vector of coefficients.

pub fn from_coefficients(coefficients: &[T]) -> Self

where T: Clone,

Create a new polynomial from a slice of coefficients.

pub fn as_coefficients(self) -> Vec<T>

Gets the coefficients of the polynomial.

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

Gets the coefficients of the polynomial.

pub fn degree(&self) -> usize

Gets the degree of the polynomial.

pub fn eval<S: AbstractExtensionField<T>>(&self, x: S) -> S

where T: AbstractField,

Evaluates the polynomial at a given point.

pub fn root_quotient(&self, r: T) -> Self

where T: Field,

Computes the root quotient of the polynomial.

impl Polynomial<u8>

pub fn as_field<F: Field>(self) -> Polynomial<F>

Converts the polynomial to a field polynomial.

Trait Implementations

impl<T: Add<Output = T> + Clone> Add<&Polynomial<T>> for Polynomial<T>

type Output = Polynomial<T>

The resulting type after applying the + operator.

fn add(self, other: &Polynomial<T>) -> Polynomial<T>

Performs the + operation.

impl<T: Mul<Output = T> + Add<Output = T> + Add + Clone> Add<T> for &Polynomial<T>

type Output = Polynomial<T>

The resulting type after applying the + operator.

fn add(self, other: T) -> Polynomial<T>

Performs the + operation.

impl<T: Mul<Output = T> + Add<Output = T> + AddAssign + Clone> Add<T> for Polynomial<T>

type Output = Polynomial<T>

The resulting type after applying the + operator.

fn add(self, other: T) -> Polynomial<T>

Performs the + operation.

impl<T: Add<Output = T> + Clone> Add for &Polynomial<T>

type Output = Polynomial<T>

The resulting type after applying the + operator.

fn add(self, other: Self) -> Polynomial<T>

Performs the + operation.

impl<T: Add<Output = T> + Clone> Add for Polynomial<T>

type Output = Polynomial<T>

The resulting type after applying the + operator.

fn add(self, other: Self) -> Self

Performs the + operation.

impl<T: Clone> Clone for Polynomial<T>

fn clone(&self) -> Polynomial<T>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T: Debug> Debug for Polynomial<T>

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

Formats the value using the given formatter.

impl<'a, Var: Into<Expr> + Clone, Expr: Clone> From<Iter<'a, Var>> for Polynomial<Expr>

fn from(value: Iter<'a, Var>) -> Self

Converts to this type from the input type.

impl<T> FromIterator<T> for Polynomial<T>

fn from_iter<I: IntoIterator<Item = T>>(iter: I) -> Self

Creates a value from an iterator.

impl<T: AbstractField> Mul<T> for &Polynomial<T>

type Output = Polynomial<T>

The resulting type after applying the * operator.

fn mul(self, other: T) -> Polynomial<T>

Performs the * operation.

impl<T: AbstractField> Mul<T> for Polynomial<T>

type Output = Polynomial<T>

The resulting type after applying the * operator.

fn mul(self, other: T) -> Self

Performs the * operation.

impl<T: AbstractField> Mul for &Polynomial<T>

type Output = Polynomial<T>

The resulting type after applying the * operator.

fn mul(self, other: Self) -> Polynomial<T>

Performs the * operation.

impl<T: AbstractField> Mul for Polynomial<T>

type Output = Polynomial<T>

The resulting type after applying the * operator.

fn mul(self, other: Self) -> Self

Performs the * operation.

impl<T: Neg<Output = T>> Neg for Polynomial<T>

type Output = Polynomial<T>

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl<T: Eq + AbstractField> PartialEq for Polynomial<T>

fn eq(&self, other: &Polynomial<T>) -> 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<T: Sub<Output = T> + Neg<Output = T> + Clone> Sub<&Polynomial<T>> for Polynomial<T>

type Output = Polynomial<T>

The resulting type after applying the - operator.

fn sub(self, other: &Polynomial<T>) -> Polynomial<T>

Performs the - operation.

impl<T: Sub<Output = T> + Neg<Output = T> + Clone> Sub for &Polynomial<T>

type Output = Polynomial<T>

The resulting type after applying the - operator.

fn sub(self, other: Self) -> Polynomial<T>

Performs the - operation.

impl<T: Sub<Output = T> + Neg<Output = T> + Clone> Sub for Polynomial<T>

type Output = Polynomial<T>

The resulting type after applying the - operator.

fn sub(self, other: Self) -> Self

Performs the - operation.