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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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27
bw6_761/src/curves/g1.rs
View File

@@ -1,18 +1,18 @@
use ark_ec::{
models::{ModelParameters, SWModelParameters},
short_weierstrass_jacobian::{GroupAffine, GroupProjective},
models::{short_weierstrass::SWCurveConfig, CurveConfig},
short_weierstrass::{Affine, Projective},
};
use ark_ff::MontFp;
use ark_ff::{Field, MontFp};
use crate::{Fq, Fr};
pub type G1Affine = GroupAffine<Parameters>;
pub type G1Projective = GroupProjective<Parameters>;
pub type G1Affine = Affine<Parameters>;
pub type G1Projective = Projective<Parameters>;
#[derive(Clone, Default, PartialEq, Eq)]
pub struct Parameters;
impl ModelParameters for Parameters {
impl CurveConfig for Parameters {
type BaseField = Fq;
type ScalarField = Fr;
@@ -30,19 +30,18 @@ impl ModelParameters for Parameters {
/// COFACTOR^(-1) mod r =
/// 91141326767669940707819291241958318717982251277713150053234367522357946997763584490607453720072232540829942217804
const COFACTOR_INV: Fr = MontFp!(Fr, "91141326767669940707819291241958318717982251277713150053234367522357946997763584490607453720072232540829942217804");
const COFACTOR_INV: Fr = MontFp!("91141326767669940707819291241958318717982251277713150053234367522357946997763584490607453720072232540829942217804");
}
impl SWModelParameters for Parameters {
impl SWCurveConfig for Parameters {
/// COEFF_A = 0
const COEFF_A: Fq = MontFp!(Fq, "0");
const COEFF_A: Fq = Fq::ZERO;
/// COEFF_B = -1
const COEFF_B: Fq = MontFp!(Fq, "-1");
const COEFF_B: Fq = MontFp!("-1");
/// AFFINE_GENERATOR_COEFFS = (G1_GENERATOR_X, G1_GENERATOR_Y)
const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
(G1_GENERATOR_X, G1_GENERATOR_Y);
const GENERATOR: G1Affine = G1Affine::new_unchecked(G1_GENERATOR_X, G1_GENERATOR_Y);
#[inline(always)]
fn mul_by_a(_elem: &Self::BaseField) -> Self::BaseField {
use ark_ff::Zero;
@@ -52,8 +51,8 @@ impl SWModelParameters for Parameters {
/// G1_GENERATOR_X =
/// 6238772257594679368032145693622812838779005809760824733138787810501188623461307351759238099287535516224314149266511977132140828635950940021790489507611754366317801811090811367945064510304504157188661901055903167026722666149426237
pub const G1_GENERATOR_X: Fq = MontFp!(Fq, "6238772257594679368032145693622812838779005809760824733138787810501188623461307351759238099287535516224314149266511977132140828635950940021790489507611754366317801811090811367945064510304504157188661901055903167026722666149426237");
pub const G1_GENERATOR_X: Fq = MontFp!("6238772257594679368032145693622812838779005809760824733138787810501188623461307351759238099287535516224314149266511977132140828635950940021790489507611754366317801811090811367945064510304504157188661901055903167026722666149426237");
/// G1_GENERATOR_Y =
/// 2101735126520897423911504562215834951148127555913367997162789335052900271653517958562461315794228241561913734371411178226936527683203879553093934185950470971848972085321797958124416462268292467002957525517188485984766314758624099
pub const G1_GENERATOR_Y: Fq = MontFp!(Fq, "2101735126520897423911504562215834951148127555913367997162789335052900271653517958562461315794228241561913734371411178226936527683203879553093934185950470971848972085321797958124416462268292467002957525517188485984766314758624099");
pub const G1_GENERATOR_Y: Fq = MontFp!("2101735126520897423911504562215834951148127555913367997162789335052900271653517958562461315794228241561913734371411178226936527683203879553093934185950470971848972085321797958124416462268292467002957525517188485984766314758624099");

27
bw6_761/src/curves/g2.rs
View File

@@ -1,18 +1,18 @@
use ark_ec::{
models::{ModelParameters, SWModelParameters},
short_weierstrass_jacobian::{GroupAffine, GroupProjective},
models::{short_weierstrass::SWCurveConfig, CurveConfig},
short_weierstrass::{Affine, Projective},
};
use ark_ff::MontFp;
use ark_ff::{Field, MontFp};
use crate::{Fq, Fr};
pub type G2Affine = GroupAffine<Parameters>;
pub type G2Projective = GroupProjective<Parameters>;
pub type G2Affine = Affine<Parameters>;
pub type G2Projective = Projective<Parameters>;
#[derive(Clone, Default, PartialEq, Eq)]
pub struct Parameters;
impl ModelParameters for Parameters {
impl CurveConfig for Parameters {
type BaseField = Fq;
type ScalarField = Fr;
@@ -30,19 +30,18 @@ impl ModelParameters for Parameters {
/// COFACTOR^(-1) mod r =
/// 214911522365886453591244899095480747723790054550866810551297776298664428889000553861210287833206024638187939842124
const COFACTOR_INV: Fr = MontFp!(Fr, "214911522365886453591244899095480747723790054550866810551297776298664428889000553861210287833206024638187939842124");
const COFACTOR_INV: Fr = MontFp!("214911522365886453591244899095480747723790054550866810551297776298664428889000553861210287833206024638187939842124");
}
impl SWModelParameters for Parameters {
impl SWCurveConfig for Parameters {
/// COEFF_A = 0
const COEFF_A: Fq = MontFp!(Fq, "0");
const COEFF_A: Fq = Fq::ZERO;
/// COEFF_B = 4
const COEFF_B: Fq = MontFp!(Fq, "4");
const COEFF_B: Fq = MontFp!("4");
/// AFFINE_GENERATOR_COEFFS = (G2_GENERATOR_X, G2_GENERATOR_Y)
const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
(G2_GENERATOR_X, G2_GENERATOR_Y);
const GENERATOR: G2Affine = G2Affine::new_unchecked(G2_GENERATOR_X, G2_GENERATOR_Y);
#[inline(always)]
fn mul_by_a(_elem: &Self::BaseField) -> Self::BaseField {
@@ -53,8 +52,8 @@ impl SWModelParameters for Parameters {
/// G2_GENERATOR_X =
/// 6445332910596979336035888152774071626898886139774101364933948236926875073754470830732273879639675437155036544153105017729592600560631678554299562762294743927912429096636156401171909259073181112518725201388196280039960074422214428
pub const G2_GENERATOR_X: Fq = MontFp!(Fq, "6445332910596979336035888152774071626898886139774101364933948236926875073754470830732273879639675437155036544153105017729592600560631678554299562762294743927912429096636156401171909259073181112518725201388196280039960074422214428");
pub const G2_GENERATOR_X: Fq = MontFp!("6445332910596979336035888152774071626898886139774101364933948236926875073754470830732273879639675437155036544153105017729592600560631678554299562762294743927912429096636156401171909259073181112518725201388196280039960074422214428");
/// G2_GENERATOR_Y =
/// 562923658089539719386922163444547387757586534741080263946953401595155211934630598999300396317104182598044793758153214972605680357108252243146746187917218885078195819486220416605630144001533548163105316661692978285266378674355041
pub const G2_GENERATOR_Y: Fq = MontFp!(Fq, "562923658089539719386922163444547387757586534741080263946953401595155211934630598999300396317104182598044793758153214972605680357108252243146746187917218885078195819486220416605630144001533548163105316661692978285266378674355041");
pub const G2_GENERATOR_Y: Fq = MontFp!("562923658089539719386922163444547387757586534741080263946953401595155211934630598999300396317104182598044793758153214972605680357108252243146746187917218885078195819486220416605630144001533548163105316661692978285266378674355041");

2
bw6_761/src/curves/tests.rs
View File

@@ -1,5 +1,5 @@
use ark_algebra_test_templates::{
curves::*, generate_bilinearity_test, generate_g1_test, generate_g2_test, groups::*, msm::*,
curves::*, generate_bilinearity_test, generate_g1_test, generate_g2_test, msm::*,
};
use ark_ec::{AffineCurve, PairingEngine};
use ark_ff::{Field, One, PrimeField};

5
bw6_761/src/fields/fq.rs
View File

@@ -1,10 +1,7 @@
use ark_ff::fields::{Fp768, MontBackend, MontConfig, MontFp};
use ark_ff::fields::{Fp768, MontBackend, MontConfig};
#[derive(MontConfig)]
#[modulus = "6891450384315732539396789682275657542479668912536150109513790160209623422243491736087683183289411687640864567753786613451161759120554247759349511699125301598951605099378508850372543631423596795951899700429969112842764913119068299"]
#[generator = "2"]
pub struct FqConfig;
pub type Fq = Fp768<MontBackend<FqConfig, 12>>;
pub const FQ_ONE: Fq = MontFp!(Fq, "1");
pub const FQ_ZERO: Fq = MontFp!(Fq, "0");

29
bw6_761/src/fields/fq3.rs
View File

@@ -1,12 +1,9 @@
use ark_ff::{
fields::fp3::{Fp3, Fp3Config},
CubicExt, MontFp,
Field, MontFp,
};
use crate::{
fields::{FQ_ONE, FQ_ZERO},
Fq,
};
use crate::Fq;
pub type Fq3 = Fp3<Fq3Config>;
@@ -17,7 +14,7 @@ impl Fp3Config for Fq3Config {
/// NONRESIDUE = -4
// Fq3 = Fq\[u\]/u^3+4
const NONRESIDUE: Fq = MontFp!(Fq, "-4");
const NONRESIDUE: Fq = MontFp!("-4");
// (MODULUS^3 - 1) % 2^TWO_ADICITY == 0
const TWO_ADICITY: u32 = 1;
@@ -64,24 +61,24 @@ impl Fp3Config for Fq3Config {
];
// NONRESIDUE^T % q
const QUADRATIC_NONRESIDUE_TO_T: Fq3 = CubicExt!(
MontFp!(Fq, "6891450384315732539396789682275657542479668912536150109513790160209623422243491736087683183289411687640864567753786613451161759120554247759349511699125301598951605099378508850372543631423596795951899700429969112842764913119068298"),
FQ_ZERO,
FQ_ZERO,
const QUADRATIC_NONRESIDUE_TO_T: Fq3 = Fq3::new(
MontFp!("6891450384315732539396789682275657542479668912536150109513790160209623422243491736087683183289411687640864567753786613451161759120554247759349511699125301598951605099378508850372543631423596795951899700429969112842764913119068298"),
Fq::ZERO,
Fq::ZERO,
);
// NQR ^ (MODULUS^i - 1)/3, i=0,1,2 with NQR = u = (0,1,0)
const FROBENIUS_COEFF_FP3_C1: &'static [Fq] = &[
FQ_ONE,
MontFp!(Fq, "4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775648"),
MontFp!(Fq, "1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292650"),
Fq::ONE,
MontFp!("4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775648"),
MontFp!("1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292650"),
];
// NQR ^ (2*MODULUS^i - 2)/3, i=0,1,2 with NQR = u = (0,1,0)
const FROBENIUS_COEFF_FP3_C2: &'static [Fq] = &[
FQ_ONE,
MontFp!(Fq, "1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292650"),
MontFp!(Fq, "4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775648"),
Fq::ONE,
MontFp!("1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292650"),
MontFp!("4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775648"),
];
#[inline(always)]

18
bw6_761/src/fields/fq6.rs
View File

@@ -1,9 +1,9 @@
use ark_ff::{
fields::fp6_2over3::{Fp6, Fp6Config},
CubicExt, MontFp,
Field, MontFp,
};
use crate::{Fq, Fq3, Fq3Config, FQ_ONE, FQ_ZERO};
use crate::{Fq, Fq3, Fq3Config};
pub type Fq6 = Fp6<Fq6Config>;
@@ -13,14 +13,14 @@ impl Fp6Config for Fq6Config {
type Fp3Config = Fq3Config;
/// NONRESIDUE = (0, 1, 0)
const NONRESIDUE: Fq3 = CubicExt!(FQ_ZERO, FQ_ONE, FQ_ZERO);
const NONRESIDUE: Fq3 = Fq3::new(Fq::ZERO, Fq::ONE, Fq::ZERO);
const FROBENIUS_COEFF_FP6_C1: &'static [Fq] = &[
MontFp!(Fq, "1"),
MontFp!(Fq, "4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775649"),
MontFp!(Fq, "4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775648"),
MontFp!(Fq, "-1"),
MontFp!(Fq, "1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292650"),
MontFp!(Fq, "1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292651"),
Fq::ONE,
MontFp!("4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775649"),
MontFp!("4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775648"),
MontFp!("-1"),
MontFp!("1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292650"),
MontFp!("1968985824090209297278610739700577151397666382303825728450741611566800370218827257750865013421937292370006175842381275743914023380727582819905021229583192207421122272650305267822868639090213645505120388400344940985710520836292651"),
];
}

4
bw6_761/src/fields/tests.rs
View File

@@ -1,12 +1,12 @@
use ark_algebra_test_templates::{
fields::*, generate_field_serialization_test, generate_field_test,
};
use ark_ff::{Field, One, PrimeField, SquareRootField, UniformRand, Zero};
use ark_ff::{Field, One, PrimeField, UniformRand, Zero};
use ark_serialize::{buffer_bit_byte_size, CanonicalSerialize};
use ark_std::{rand::Rng, test_rng};
use core::ops::{AddAssign, MulAssign, SubAssign};
use crate::*;
generate_field_test!(bw6_761; fq3; fq6; mont(12, 6); );
generate_field_test!(bw6_761; fq3; fq6_2_on_3; false; mont(12, 6); );
generate_field_serialization_test!(bw6_761;);