Struct StandardFormPolynomial

pub struct StandardFormPolynomial<T> {
    pub coefficients: Vec<T>,
}

Represents a polynomial function expressed in standard form with coefficients of type T.

Fields

coefficients: Vec<T>

The ordered set of coefficients, starting with the constant term.

Implementations

impl<T> StandardFormPolynomial<T>

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

The coefficients are assumed to be presented in ascending order of degree, starting with the constant term coefficients[0].

Panics if coefficients is empty.

pub fn degree(&self) -> usize

where T: Zero,

Returns the degree of the polynomial, which is usually the number of coefficients minus 1. If the polynomial has no coefficients, it has degree zero.

impl StandardFormPolynomial<MaybeScalar>

pub fn issue_share(&self, x: MaybeScalar) -> SecretShare

Issue a share at the given input x.

impl StandardFormPolynomial<MaybePoint>

pub fn issue_share(&self, x: MaybeScalar) -> PointShare

Issue a share at the given input x.

impl StandardFormPolynomial<MaybePoint>

pub fn derive_secret(&self, x: MaybeScalar) -> [u8; 32]

Derive a secret c by hashing the output point produced by evaluating the polynomial on x.

Trait Implementations

impl<T: Clone> Clone for StandardFormPolynomial<T>

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

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T: Debug> Debug for StandardFormPolynomial<T>

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

Formats the value using the given formatter.

impl<T: Default> Default for StandardFormPolynomial<T>

fn default() -> StandardFormPolynomial<T>

Returns the “default value” for a type.

impl<T: Hash> Hash for StandardFormPolynomial<T>

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl Mul<&StandardFormPolynomial<MaybeScalar>> for G

Allows multiplying a secret sharing polynomial by the secp256k1 generator point.

type Output = StandardFormPolynomial<MaybePoint>

The resulting type after applying the * operator.

fn mul(self, rhs: &SecretSharingPolynomial) -> Self::Output

Performs the * operation.

impl Mul<&StandardFormPolynomial<MaybeScalar>> for Point

Allows multiplying a secret sharing polynomial by a given fixed point.

type Output = StandardFormPolynomial<MaybePoint>

The resulting type after applying the * operator.

fn mul(self, rhs: &SecretSharingPolynomial) -> Self::Output

Performs the * operation.

impl Mul<StandardFormPolynomial<MaybeScalar>> for G

type Output = StandardFormPolynomial<MaybePoint>

The resulting type after applying the * operator.

fn mul(self, rhs: SecretSharingPolynomial) -> Self::Output

Performs the * operation.

impl Mul<StandardFormPolynomial<MaybeScalar>> for Point

type Output = StandardFormPolynomial<MaybePoint>

The resulting type after applying the * operator.

fn mul(self, rhs: SecretSharingPolynomial) -> Self::Output

Performs the * operation.

impl<T: PartialEq> PartialEq for StandardFormPolynomial<T>

fn eq(&self, other: &StandardFormPolynomial<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<I, T> Polynomial<I, T> for StandardFormPolynomial<T>

where I: Copy, T: Copy + Zero + Mul<I, Output = T> + Add<T, Output = T>,

fn evaluate(&self, x: I) -> T

Evaluate the polynomial on a given input.

fn degree(&self) -> usize

Returns the degree of the polynomial, which is usually the number of coefficients minus 1. If the polynomial has no coefficients, it has degree zero.

fn interpolation_threshold(&self) -> usize

Returns the number of evaluations needed to interpolate this polynomial, which is just the number of coefficients in the polynomial.

impl<T: Eq> Eq for StandardFormPolynomial<T>

impl<T> StructuralPartialEq for StandardFormPolynomial<T>