pub struct Bn254;
Implementations§
Source§impl Bn254
impl Bn254
pub const FROBENIUS_COEFF_FQ6_C1: [Fp2; 3] = _
pub const XI_TO_Q_MINUS_1_OVER_2: Fp2 = _
Trait Implementations§
Source§impl IntrinsicCurve for Bn254
impl IntrinsicCurve for Bn254
type Scalar = Bn254Scalar
type Point = Bn254G1Affine
Source§impl LineMulDType<Bn254Fp2, SexticExtField<Bn254Fp2>> for Bn254
impl LineMulDType<Bn254Fp2, SexticExtField<Bn254Fp2>> for Bn254
Source§fn mul_013_by_013(l0: &EvaluatedLine<Fp2>, l1: &EvaluatedLine<Fp2>) -> [Fp2; 5]
fn mul_013_by_013(l0: &EvaluatedLine<Fp2>, l1: &EvaluatedLine<Fp2>) -> [Fp2; 5]
Multiplies two lines in 013-form to get an element in 01234-form
Source§fn mul_by_013(f: &Fp12, l: &EvaluatedLine<Fp2>) -> Fp12
fn mul_by_013(f: &Fp12, l: &EvaluatedLine<Fp2>) -> Fp12
Multiplies a line in 013-form with a Fp12 element to get an Fp12 element
Source§impl MultiMillerLoop for Bn254
impl MultiMillerLoop for Bn254
const SEED_ABS: u64 = 4_965_661_367_192_848_881u64
const PSEUDO_BINARY_ENCODING: &[i8] = _
type Fp = Bn254Fp
type Fp12 = SexticExtField<Bn254Fp2>
Source§fn evaluate_lines_vec(
f: Self::Fp12,
lines: Vec<EvaluatedLine<Self::Fp2>>,
) -> Self::Fp12
fn evaluate_lines_vec( f: Self::Fp12, lines: Vec<EvaluatedLine<Self::Fp2>>, ) -> Self::Fp12
Function to evaluate the line functions of the Miller loop
Source§fn pre_loop(
Q_acc: Vec<AffinePoint<Self::Fp2>>,
_Q: &[AffinePoint<Self::Fp2>],
c: Option<Self::Fp12>,
xy_fracs: &[(Self::Fp, Self::Fp)],
) -> (Self::Fp12, Vec<AffinePoint<Self::Fp2>>)
fn pre_loop( Q_acc: Vec<AffinePoint<Self::Fp2>>, _Q: &[AffinePoint<Self::Fp2>], c: Option<Self::Fp12>, xy_fracs: &[(Self::Fp, Self::Fp)], ) -> (Self::Fp12, Vec<AffinePoint<Self::Fp2>>)
Runs before the main loop in the Miller loop function Read more
Source§fn post_loop(
f: &Self::Fp12,
Q_acc: Vec<AffinePoint<Self::Fp2>>,
Q: &[AffinePoint<Self::Fp2>],
_c: Option<Self::Fp12>,
xy_fracs: &[(Self::Fp, Self::Fp)],
) -> (Self::Fp12, Vec<AffinePoint<Self::Fp2>>)
fn post_loop( f: &Self::Fp12, Q_acc: Vec<AffinePoint<Self::Fp2>>, Q: &[AffinePoint<Self::Fp2>], _c: Option<Self::Fp12>, xy_fracs: &[(Self::Fp, Self::Fp)], ) -> (Self::Fp12, Vec<AffinePoint<Self::Fp2>>)
Runs after the main loop in the Miller loop function
Source§fn multi_miller_loop(
P: &[AffinePoint<Self::Fp>],
Q: &[AffinePoint<Self::Fp2>],
) -> Self::Fp12
fn multi_miller_loop( P: &[AffinePoint<Self::Fp>], Q: &[AffinePoint<Self::Fp2>], ) -> Self::Fp12
Runs the multi-Miller loop with no embedded exponent
Source§fn multi_miller_loop_embedded_exp(
P: &[AffinePoint<Self::Fp>],
Q: &[AffinePoint<Self::Fp2>],
c: Option<Self::Fp12>,
) -> Self::Fp12
fn multi_miller_loop_embedded_exp( P: &[AffinePoint<Self::Fp>], Q: &[AffinePoint<Self::Fp2>], c: Option<Self::Fp12>, ) -> Self::Fp12
Runs the multi-Miller loop with an embedded exponent, removing the need to calculate the residue witness
in the final exponentiation step Read more
Source§impl PairingCheck for Bn254
impl PairingCheck for Bn254
type Fp = Bn254Fp
type Fp2 = Bn254Fp2
type Fp12 = SexticExtField<Bn254Fp2>
Source§fn pairing_check_hint(
P: &[AffinePoint<Self::Fp>],
Q: &[AffinePoint<Self::Fp2>],
) -> (Self::Fp12, Self::Fp12)
fn pairing_check_hint( P: &[AffinePoint<Self::Fp>], Q: &[AffinePoint<Self::Fp2>], ) -> (Self::Fp12, Self::Fp12)
Given points P[], Q[], computes the multi-Miller loop and then returns
the final exponentiation hint from Novakovic-Eagon https://eprint.iacr.org/2024/640.pdf. Read more
fn pairing_check( P: &[AffinePoint<Self::Fp>], Q: &[AffinePoint<Self::Fp2>], ) -> Result<(), PairingCheckError>
Source§impl PairingIntrinsics for Bn254
impl PairingIntrinsics for Bn254
Source§const PAIRING_IDX: usize = 0usize
const PAIRING_IDX: usize = 0usize
Index for custom intrinsic opcode determination.
Source§const XI: Fp2 = _
const XI: Fp2 = _
The sextic extension
Fp12
is Fp2[X] / (X^6 - \xi)
, where \xi
is a non-residue.Source§const FROBENIUS_COEFFS: [[Self::Fp2; 5]; 12] = _
const FROBENIUS_COEFFS: [[Self::Fp2; 5]; 12] = _
Multiplication constants for the Frobenius map for coefficients in Fp2 c1..=c5 for powers 0..12
FROBENIUS_COEFFS[i][j] = \xi^{(j + 1) * (p^i - 1)/6} when p = 1 (mod 6)
type Fp = Bn254Fp
type Fp2 = Bn254Fp2
type Fp12 = SexticExtField<Bn254Fp2>
Auto Trait Implementations§
impl Freeze for Bn254
impl RefUnwindSafe for Bn254
impl Send for Bn254
impl Sync for Bn254
impl Unpin for Bn254
impl UnwindSafe for Bn254
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