Trait Group

pub trait Group:
    Sized
    + Clone
    + Copy
    + Debug
    + Eq
    + Send
    + Sync
    + 'static
    + Sum
    + for<'a> Sum<&'a Self>
    + Neg<Output = Self>
    + GroupOps
    + GroupOpsOwned
    + ScalarMul<Self::Scalar>
    + ScalarMulOwned<Self::Scalar> {
    type Scalar: PrimeField;

    // Required methods
    fn random(rng: impl RngCore) -> Self;
    fn identity() -> Self;
    fn generator() -> Self;
    fn is_identity(&self) -> Choice;
    fn double(&self) -> Self;
}

This trait represents an element of a cryptographic group.

Required Associated Types

type Scalar: PrimeField

Scalars modulo the order of this group’s scalar field.

Required Methods

fn random(rng: impl RngCore) -> Self

Returns an element chosen uniformly at random from the non-identity elements of this group.

This function is non-deterministic, and samples from the user-provided RNG.

fn identity() -> Self

Returns the additive identity, also known as the “neutral element”.

fn generator() -> Self

Returns a fixed generator of the prime-order subgroup.

fn is_identity(&self) -> Choice

Determines if this point is the identity.

fn double(&self) -> Self

Doubles this element.

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.

Implementations on Foreign Types

impl Group for Ep

type Scalar = Fq

fn random(rng: impl RngCore) -> Ep

fn generator() -> Ep

fn double(&self) -> Ep

fn identity() -> Ep

fn is_identity(&self) -> Choice

impl Group for Eq

type Scalar = Fp

fn random(rng: impl RngCore) -> Eq

fn generator() -> Eq

fn double(&self) -> Eq

fn identity() -> Eq

fn is_identity(&self) -> Choice

Implementors