Trait PrimeCurveAffine

pub trait PrimeCurveAffine:
    Sized
    + GroupEncoding
    + Copy
    + Clone
    + Send
    + Sync
    + Debug
    + PartialEq
    + Eq
    + 'static
    + Neg<Output = Self>
    + Mul<Self::Scalar, Output = Self::Curve, Output = Self::Curve>
    + for<'r> Mul<&'r Self::Scalar> {
    type Scalar: PrimeField;
    type Curve: PrimeCurve<Affine = Self, Scalar = Self::Scalar>;

    // Required methods
    fn identity() -> Self;
    fn generator() -> Self;
    fn is_identity(&self) -> Choice;
    fn to_curve(&self) -> Self::Curve;
}

Affine representation of an elliptic curve point guaranteed to be in the correct prime order subgroup.

Required Associated Types

type Scalar: PrimeField

type Curve: PrimeCurve<Affine = Self, Scalar = Self::Scalar>

Required Methods

fn identity() -> Self

Returns the additive identity.

fn generator() -> Self

Returns a fixed generator of unknown exponent.

fn is_identity(&self) -> Choice

Determines if this point represents the point at infinity; the additive identity.

fn to_curve(&self) -> Self::Curve

Converts this element to its curve representation.

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 PrimeCurveAffine for G1Affine

type Scalar = Scalar

type Curve = G1Projective

fn identity() -> G1Affine

fn generator() -> G1Affine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <G1Affine as PrimeCurveAffine>::Curve

impl PrimeCurveAffine for G2Affine

type Scalar = Scalar

type Curve = G2Projective

fn identity() -> G2Affine

fn generator() -> G2Affine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <G2Affine as PrimeCurveAffine>::Curve

impl PrimeCurveAffine for G1Affine

type Curve = G1

type Scalar = Fr

fn generator() -> G1Affine

fn identity() -> G1Affine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <G1Affine as PrimeCurveAffine>::Curve

impl PrimeCurveAffine for G2Affine

type Curve = G2

type Scalar = Fr

fn generator() -> G2Affine

fn identity() -> G2Affine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <G2Affine as PrimeCurveAffine>::Curve

impl PrimeCurveAffine for Ed25519Affine

type Curve = Ed25519

type Scalar = Fr

fn generator() -> Ed25519Affine

fn identity() -> Ed25519Affine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <Ed25519Affine as PrimeCurveAffine>::Curve

impl PrimeCurveAffine for G1Affine

type Curve = G1

type Scalar = Fq

fn generator() -> G1Affine

fn identity() -> G1Affine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <G1Affine as PrimeCurveAffine>::Curve

impl PrimeCurveAffine for ErisAffine

type Curve = Eris

type Scalar = Fp

fn generator() -> ErisAffine

fn identity() -> ErisAffine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <ErisAffine as PrimeCurveAffine>::Curve

impl PrimeCurveAffine for G1Affine

type Curve = G1

type Scalar = Fq

fn generator() -> G1Affine

fn identity() -> G1Affine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <G1Affine as PrimeCurveAffine>::Curve

impl PrimeCurveAffine for G2Affine

type Curve = G2

type Scalar = Fq

fn generator() -> G2Affine

fn identity() -> G2Affine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <G2Affine as PrimeCurveAffine>::Curve

impl PrimeCurveAffine for Secp256k1Affine

type Curve = Secp256k1

type Scalar = Fq

fn generator() -> Secp256k1Affine

fn identity() -> Secp256k1Affine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <Secp256k1Affine as PrimeCurveAffine>::Curve

impl PrimeCurveAffine for Secp256r1Affine

type Curve = Secp256r1

type Scalar = Fq

fn generator() -> Secp256r1Affine

fn identity() -> Secp256r1Affine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <Secp256r1Affine as PrimeCurveAffine>::Curve

impl PrimeCurveAffine for Secq256k1Affine

type Curve = Secq256k1

type Scalar = Fp

fn generator() -> Secq256k1Affine

fn identity() -> Secq256k1Affine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <Secq256k1Affine as PrimeCurveAffine>::Curve

impl PrimeCurveAffine for AffinePoint

fn identity() -> AffinePoint

Returns the identity of the group: the point at infinity.

fn generator() -> AffinePoint

Returns the base point of secp256k1.

fn is_identity(&self) -> Choice

Is this point the identity point?

fn to_curve(&self) -> ProjectivePoint

Convert to curve representation.

type Scalar = Scalar

type Curve = ProjectivePoint

impl PrimeCurveAffine for EpAffine

type Curve = Ep

type Scalar = Fq

fn generator() -> EpAffine

fn identity() -> EpAffine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <EpAffine as PrimeCurveAffine>::Curve

impl PrimeCurveAffine for EqAffine

type Curve = Eq

type Scalar = Fp

fn generator() -> EqAffine

fn identity() -> EqAffine

fn is_identity(&self) -> Choice

fn to_curve(&self) -> <EqAffine as PrimeCurveAffine>::Curve

Implementors