Trait pairing::Engine[−][src]

pub trait Engine: Sized + 'static + Clone {
    type Fr: PrimeField;
    type G1: PrimeCurve<Scalar = Self::Fr, Affine = Self::G1Affine> + From<Self::G1Affine> + GroupOps<Self::G1Affine> + GroupOpsOwned<Self::G1Affine> + ScalarMul<Self::Fr> + ScalarMulOwned<Self::Fr>;
    type G1Affine: PairingCurveAffine<Scalar = Self::Fr, Curve = Self::G1, Pair = Self::G2Affine, PairingResult = Self::Gt> + From<Self::G1> + Mul<Self::Fr, Output = Self::G1> + for<'a> Mul<&'a Self::Fr, Output = Self::G1>;
    type G2: PrimeCurve<Scalar = Self::Fr, Affine = Self::G2Affine> + From<Self::G2Affine> + GroupOps<Self::G2Affine> + GroupOpsOwned<Self::G2Affine> + ScalarMul<Self::Fr> + ScalarMulOwned<Self::Fr>;
    type G2Affine: PairingCurveAffine<Scalar = Self::Fr, Curve = Self::G2, Pair = Self::G1Affine, PairingResult = Self::Gt> + From<Self::G2> + Mul<Self::Fr, Output = Self::G2> + for<'a> Mul<&'a Self::Fr, Output = Self::G2>;
    type Gt: Group<Scalar = Self::Fr> + ScalarMul<Self::Fr> + ScalarMulOwned<Self::Fr>;
    fn pairing(p: &Self::G1Affine, q: &Self::G2Affine) -> Self::Gt;
}
Expand description

An “engine” is a collection of types (fields, elliptic curve groups, etc.) with well-defined relationships. In particular, the G1/G2 curve groups are of prime order r, and are equipped with a bilinear pairing function.

Associated Types

type Fr: PrimeField[src]

This is the scalar field of the engine’s groups.

type G1: PrimeCurve<Scalar = Self::Fr, Affine = Self::G1Affine> + From<Self::G1Affine> + GroupOps<Self::G1Affine> + GroupOpsOwned<Self::G1Affine> + ScalarMul<Self::Fr> + ScalarMulOwned<Self::Fr>[src]

The projective representation of an element in G1.

type G1Affine: PairingCurveAffine<Scalar = Self::Fr, Curve = Self::G1, Pair = Self::G2Affine, PairingResult = Self::Gt> + From<Self::G1> + Mul<Self::Fr, Output = Self::G1> + for<'a> Mul<&'a Self::Fr, Output = Self::G1>[src]

The affine representation of an element in G1.

type G2: PrimeCurve<Scalar = Self::Fr, Affine = Self::G2Affine> + From<Self::G2Affine> + GroupOps<Self::G2Affine> + GroupOpsOwned<Self::G2Affine> + ScalarMul<Self::Fr> + ScalarMulOwned<Self::Fr>[src]

The projective representation of an element in G2.

type G2Affine: PairingCurveAffine<Scalar = Self::Fr, Curve = Self::G2, Pair = Self::G1Affine, PairingResult = Self::Gt> + From<Self::G2> + Mul<Self::Fr, Output = Self::G2> + for<'a> Mul<&'a Self::Fr, Output = Self::G2>[src]

The affine representation of an element in G2.

type Gt: Group<Scalar = Self::Fr> + ScalarMul<Self::Fr> + ScalarMulOwned<Self::Fr>[src]

The extension field that hosts the target group of the pairing.

Required methods

fn pairing(p: &Self::G1Affine, q: &Self::G2Affine) -> Self::Gt[src]

Invoke the pairing function G1 x G2 -> Gt without the use of precomputation and other optimizations.

Implementors