Trait pairing::Engine
[−]
[src]
pub trait Engine: Sized { type Fr: PrimeField; type G1: CurveProjective<Engine = Self, Base = Self::Fq, Scalar = Self::Fr, Affine = Self::G1Affine> + From<Self::G1Affine>; type G1Affine: CurveAffine<Engine = Self, Base = Self::Fq, Scalar = Self::Fr, Projective = Self::G1, Pair = Self::G2Affine, PairingResult = Self::Fqk> + From<Self::G1>; type G2: CurveProjective<Engine = Self, Base = Self::Fqe, Scalar = Self::Fr, Affine = Self::G2Affine> + From<Self::G2Affine>; type G2Affine: CurveAffine<Engine = Self, Base = Self::Fqe, Scalar = Self::Fr, Projective = Self::G2, Pair = Self::G1Affine, PairingResult = Self::Fqk> + From<Self::G2>; type Fq: PrimeField + SqrtField; type Fqe: SqrtField; type Fqk: Field; fn miller_loop<'a, I>(i: I) -> Self::Fqk
where
I: IntoIterator<Item = &'a (&'a <Self::G1Affine as CurveAffine>::Prepared, &'a <Self::G2Affine as CurveAffine>::Prepared)>; fn final_exponentiation(_: &Self::Fqk) -> Option<Self::Fqk>; fn pairing<G1, G2>(p: G1, q: G2) -> Self::Fqk
where
G1: Into<Self::G1Affine>,
G2: Into<Self::G2Affine>, { ... } }
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
This is the scalar field of the G1/G2 groups.
type G1: CurveProjective<Engine = Self, Base = Self::Fq, Scalar = Self::Fr, Affine = Self::G1Affine> + From<Self::G1Affine>
The projective representation of an element in G1.
type G1Affine: CurveAffine<Engine = Self, Base = Self::Fq, Scalar = Self::Fr, Projective = Self::G1, Pair = Self::G2Affine, PairingResult = Self::Fqk> + From<Self::G1>
The affine representation of an element in G1.
type G2: CurveProjective<Engine = Self, Base = Self::Fqe, Scalar = Self::Fr, Affine = Self::G2Affine> + From<Self::G2Affine>
The projective representation of an element in G2.
type G2Affine: CurveAffine<Engine = Self, Base = Self::Fqe, Scalar = Self::Fr, Projective = Self::G2, Pair = Self::G1Affine, PairingResult = Self::Fqk> + From<Self::G2>
The affine representation of an element in G2.
type Fq: PrimeField + SqrtField
The base field that hosts G1.
type Fqe: SqrtField
The extension field that hosts G2.
type Fqk: Field
The extension field that hosts the target group of the pairing.
Required Methods
fn miller_loop<'a, I>(i: I) -> Self::Fqk where
I: IntoIterator<Item = &'a (&'a <Self::G1Affine as CurveAffine>::Prepared, &'a <Self::G2Affine as CurveAffine>::Prepared)>,
I: IntoIterator<Item = &'a (&'a <Self::G1Affine as CurveAffine>::Prepared, &'a <Self::G2Affine as CurveAffine>::Prepared)>,
Perform a miller loop with some number of (G1, G2) pairs.
fn final_exponentiation(_: &Self::Fqk) -> Option<Self::Fqk>
Perform final exponentiation of the result of a miller loop.
Provided Methods
fn pairing<G1, G2>(p: G1, q: G2) -> Self::Fqk where
G1: Into<Self::G1Affine>,
G2: Into<Self::G2Affine>,
G1: Into<Self::G1Affine>,
G2: Into<Self::G2Affine>,
Performs a complete pairing operation (p, q)
.
Implementors
impl Engine for Bls12