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Catch up with algebra (#106)

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Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>
This commit is contained in:
Marcin
2022-07-29 21:16:16 +02:00
committed by GitHub
parent 76579d0fbb
commit 93e64df895
120 changed files with 934 additions and 1653 deletions
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86
bn254/src/fields/fq6.rs
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@@ -1,4 +1,4 @@
use ark_ff::{fields::*, MontFp, QuadExt};
use ark_ff::{fields::*, MontFp};
use crate::*;
@@ -11,113 +11,81 @@ impl Fp6Config for Fq6Config {
type Fp2Config = Fq2Config;
/// NONRESIDUE = U+9
const NONRESIDUE: Fq2 = QuadExt!(MontFp!(Fq, "9"), MontFp!(Fq, "1"));
const NONRESIDUE: Fq2 = Fq2::new(MontFp!("9"), Fq::ONE);
const FROBENIUS_COEFF_FP6_C1: &'static [Fq2] = &[
// Fp2::NONRESIDUE^(((q^0) - 1) / 3)
QuadExt!(MontFp!(Fq, "1"), MontFp!(Fq, "0"),),
Fq2::new(Fq::ONE, Fq::ZERO),
// Fp2::NONRESIDUE^(((q^1) - 1) / 3)
QuadExt!(
Fq2::new(
MontFp!(
Fq,
"21575463638280843010398324269430826099269044274347216827212613867836435027261"
),
MontFp!(
Fq,
"10307601595873709700152284273816112264069230130616436755625194854815875713954"
),
),
// Fp2::NONRESIDUE^(((q^2) - 1) / 3)
QuadExt!(
Fq2::new(
MontFp!(
Fq,
"21888242871839275220042445260109153167277707414472061641714758635765020556616"
),
MontFp!(Fq, "0"),
Fq::ZERO,
),
// Fp2::NONRESIDUE^(((q^3) - 1) / 3)
QuadExt!(
MontFp!(
Fq,
"3772000881919853776433695186713858239009073593817195771773381919316419345261"
),
MontFp!(
Fq,
"2236595495967245188281701248203181795121068902605861227855261137820944008926"
),
Fq2::new(
MontFp!("3772000881919853776433695186713858239009073593817195771773381919316419345261"),
MontFp!("2236595495967245188281701248203181795121068902605861227855261137820944008926"),
),
// Fp2::NONRESIDUE^(((q^4) - 1) / 3)
QuadExt!(
MontFp!(
Fq,
"2203960485148121921418603742825762020974279258880205651966"
),
MontFp!(Fq, "0"),
Fq2::new(
MontFp!("2203960485148121921418603742825762020974279258880205651966"),
Fq::ZERO,
),
// Fp2::NONRESIDUE^(((q^5) - 1) / 3)
QuadExt!(
Fq2::new(
MontFp!(
Fq,
"18429021223477853657660792034369865839114504446431234726392080002137598044644"
),
MontFp!(
Fq,
"9344045779998320333812420223237981029506012124075525679208581902008406485703"
),
MontFp!("9344045779998320333812420223237981029506012124075525679208581902008406485703"),
),
];
const FROBENIUS_COEFF_FP6_C2: &'static [Fq2] = &[
// Fp2::NONRESIDUE^((2*(q^0) - 2) / 3)
QuadExt!(MontFp!(Fq, "1"), MontFp!(Fq, "0"),),
Fq2::new(Fq::ONE, Fq::ZERO),
// Fp2::NONRESIDUE^((2*(q^1) - 2) / 3)
QuadExt!(
Fq2::new(
MontFp!("2581911344467009335267311115468803099551665605076196740867805258568234346338"),
MontFp!(
Fq,
"2581911344467009335267311115468803099551665605076196740867805258568234346338"
),
MontFp!(
Fq,
"19937756971775647987995932169929341994314640652964949448313374472400716661030"
),
),
// Fp2::NONRESIDUE^((2*(q^2) - 2) / 3)
QuadExt!(
MontFp!(
Fq,
"2203960485148121921418603742825762020974279258880205651966"
),
MontFp!(Fq, "0"),
Fq2::new(
MontFp!("2203960485148121921418603742825762020974279258880205651966"),
Fq::ZERO,
),
// Fp2::NONRESIDUE^((2*(q^3) - 2) / 3)
QuadExt!(
Fq2::new(
MontFp!("5324479202449903542726783395506214481928257762400643279780343368557297135718"),
MontFp!(
Fq,
"5324479202449903542726783395506214481928257762400643279780343368557297135718"
),
MontFp!(
Fq,
"16208900380737693084919495127334387981393726419856888799917914180988844123039"
),
),
// Fp2::NONRESIDUE^((2*(q^4) - 2) / 3)
QuadExt!(
Fq2::new(
MontFp!(
Fq,
"21888242871839275220042445260109153167277707414472061641714758635765020556616"
),
MontFp!(Fq, "0"),
Fq::ZERO,
),
// Fp2::NONRESIDUE^((2*(q^5) - 2) / 3)
QuadExt!(
Fq2::new(
MontFp!(
Fq,
"13981852324922362344252311234282257507216387789820983642040889267519694726527"
),
MontFp!(
Fq,
"7629828391165209371577384193250820201684255241773809077146787135900891633097"
),
MontFp!("7629828391165209371577384193250820201684255241773809077146787135900891633097"),
),
];
@@ -128,6 +96,6 @@ impl Fp6Config for Fq6Config {
f.double_in_place().double_in_place().double_in_place();
let c0 = f.c0 + fe.c0 + Fq2Config::mul_fp_by_nonresidue(&fe.c1);
let c1 = f.c1 + fe.c1 + fe.c0;
QuadExt!(c0, c1)
Fq2::new(c0, c1)
}
}