Trait pairing_ce::Engine
source · pub trait Engine: ScalarEngine {
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> + RawEncodable;
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(r: &Self::Fqk) -> Option<Self::Fqk>;
fn pairing<G1, G2>(p: G1, q: G2) -> Self::Fqk
where
G1: Into<Self::G1Affine>,
G2: Into<Self::G2Affine>,
{ ... }
}
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.
Required Associated Types§
sourcetype G1: CurveProjective<Engine = Self, Base = Self::Fq, Scalar = Self::Fr, Affine = Self::G1Affine> + From<Self::G1Affine>
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.
sourcetype G1Affine: CurveAffine<Engine = Self, Base = Self::Fq, Scalar = Self::Fr, Projective = Self::G1, Pair = Self::G2Affine, PairingResult = Self::Fqk> + From<Self::G1> + RawEncodable
type G1Affine: CurveAffine<Engine = Self, Base = Self::Fq, Scalar = Self::Fr, Projective = Self::G1, Pair = Self::G2Affine, PairingResult = Self::Fqk> + From<Self::G1> + RawEncodable
The affine representation of an element in G1.
sourcetype G2: CurveProjective<Engine = Self, Base = Self::Fqe, Scalar = Self::Fr, Affine = Self::G2Affine> + From<Self::G2Affine>
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.
sourcetype G2Affine: CurveAffine<Engine = Self, Base = Self::Fqe, Scalar = Self::Fr, Projective = Self::G2, Pair = Self::G1Affine, PairingResult = Self::Fqk> + From<Self::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.
sourcetype Fq: PrimeField + SqrtField
type Fq: PrimeField + SqrtField
The base field that hosts G1.
Required Methods§
sourcefn miller_loop<'a, I>(i: I) -> Self::Fqkwhere
I: IntoIterator<Item = &'a (&'a <Self::G1Affine as CurveAffine>::Prepared, &'a <Self::G2Affine as CurveAffine>::Prepared)>,
fn miller_loop<'a, I>(i: I) -> Self::Fqkwhere
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.
sourcefn final_exponentiation(r: &Self::Fqk) -> Option<Self::Fqk>
fn final_exponentiation(r: &Self::Fqk) -> Option<Self::Fqk>
Perform final exponentiation of the result of a miller loop.