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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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35
mnt4_753/src/curves/g2.rs
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@@ -1,11 +1,11 @@
use ark_ec::{
mnt4,
mnt4::MNT4Parameters,
models::{ModelParameters, SWModelParameters},
models::{short_weierstrass::SWCurveConfig, CurveConfig},
};
use ark_ff::{MontFp, QuadExt};
use ark_ff::{Field, MontFp};
use crate::{Fq, Fq2, Fr, FQ_ZERO, G1_COEFF_A_NON_RESIDUE};
use crate::{Fq, Fq2, Fr, G1_COEFF_A_NON_RESIDUE};
pub type G2Affine = mnt4::G2Affine<crate::Parameters>;
pub type G2Projective = mnt4::G2Projective<crate::Parameters>;
@@ -14,7 +14,7 @@ pub type G2Prepared = mnt4::G2Prepared<crate::Parameters>;
#[derive(Clone, Default, PartialEq, Eq)]
pub struct Parameters;
impl ModelParameters for Parameters {
impl CurveConfig for Parameters {
type BaseField = Fq2;
type ScalarField = Fr;
@@ -38,7 +38,7 @@ impl ModelParameters for Parameters {
/// COFACTOR^(-1) mod r =
/// 102345604409665481004734934052318066391634848395005988700111949231215905051467807945653833683883449458834877235200
const COFACTOR_INV: Fr = MontFp!(Fr, "102345604409665481004734934052318066391634848395005988700111949231215905051467807945653833683883449458834877235200");
const COFACTOR_INV: Fr = MontFp!("102345604409665481004734934052318066391634848395005988700111949231215905051467807945653833683883449458834877235200");
}
/// MUL_BY_A_C0 = NONRESIDUE * COEFF_A
@@ -47,7 +47,7 @@ pub const MUL_BY_A_C0: Fq = G1_COEFF_A_NON_RESIDUE;
/// MUL_BY_A_C1 = NONRESIDUE * COEFF_A
pub const MUL_BY_A_C1: Fq = G1_COEFF_A_NON_RESIDUE;
impl SWModelParameters for Parameters {
impl SWCurveConfig for Parameters {
const COEFF_A: Fq2 = crate::Parameters::TWIST_COEFF_A;
// B coefficient of MNT4-753 G2 =
// ```
@@ -58,23 +58,22 @@ impl SWModelParameters for Parameters {
// =
// (0, 39196523001581428369576759982967177918859161321667605855515469914917622337081756705006832951954384669101573360625169461998308377011601613979275218690841934572954991361632773738259652003389826903175898479855893660378722437317212)
// ```
const COEFF_B: Fq2 = QuadExt!(
FQ_ZERO,
MontFp!(Fq, "39196523001581428369576759982967177918859161321667605855515469914917622337081756705006832951954384669101573360625169461998308377011601613979275218690841934572954991361632773738259652003389826903175898479855893660378722437317212")
const COEFF_B: Fq2 = Fq2::new(
Fq::ZERO,
MontFp!("39196523001581428369576759982967177918859161321667605855515469914917622337081756705006832951954384669101573360625169461998308377011601613979275218690841934572954991361632773738259652003389826903175898479855893660378722437317212")
);
/// 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(elt: &Fq2) -> Fq2 {
QuadExt!(MUL_BY_A_C0 * &elt.c0, MUL_BY_A_C1 * &elt.c1,)
Fq2::new(MUL_BY_A_C0 * &elt.c0, MUL_BY_A_C1 * &elt.c1)
}
}
const G2_GENERATOR_X: Fq2 = QuadExt!(G2_GENERATOR_X_C0, G2_GENERATOR_X_C1);
const G2_GENERATOR_Y: Fq2 = QuadExt!(G2_GENERATOR_Y_C0, G2_GENERATOR_Y_C1);
const G2_GENERATOR_X: Fq2 = Fq2::new(G2_GENERATOR_X_C0, G2_GENERATOR_X_C1);
const G2_GENERATOR_Y: Fq2 = Fq2::new(G2_GENERATOR_Y_C0, G2_GENERATOR_Y_C1);
// Generator of G2
// These are two Fq elements each because X and Y (and Z) are elements of Fq^2
@@ -82,10 +81,10 @@ const G2_GENERATOR_Y: Fq2 = QuadExt!(G2_GENERATOR_Y_C0, G2_GENERATOR_Y_C1);
// 19706011319630172391076079624799753948158506771222147486237995321925443331396169656568431378974558350664383559981183980668976846806019030432389169137953988990802000581078994008283967768348275973921598166274857631001635633631000,
// Y = 39940152670760519653940320314827327941993141403708338666925204282084477074754642625849927569427860786384998614863651207257467076192649385174108085803168743803491780568503369317093191101779534035377266300185099318717465441820654,
// 17608637424964395737041291373756657139607306440193731804102457011726690702169238966996114255971643893157857311132388792357391583164125870757541009035041469463366528798593952884745987697403056488744603829437448927398468360797245,
pub const G2_GENERATOR_X_C0: Fq = MontFp!(Fq, "29483965110843144675703364744708836524643960105538608078862508397502447349913068434941060515343254862580437318493682762113105361632548148204806052114008731372757389645383891982211245013965175213456066452587869519098351487925167");
pub const G2_GENERATOR_X_C0: Fq = MontFp!("29483965110843144675703364744708836524643960105538608078862508397502447349913068434941060515343254862580437318493682762113105361632548148204806052114008731372757389645383891982211245013965175213456066452587869519098351487925167");
pub const G2_GENERATOR_X_C1: Fq = MontFp!(Fq, "19706011319630172391076079624799753948158506771222147486237995321925443331396169656568431378974558350664383559981183980668976846806019030432389169137953988990802000581078994008283967768348275973921598166274857631001635633631000");
pub const G2_GENERATOR_X_C1: Fq = MontFp!("19706011319630172391076079624799753948158506771222147486237995321925443331396169656568431378974558350664383559981183980668976846806019030432389169137953988990802000581078994008283967768348275973921598166274857631001635633631000");
pub const G2_GENERATOR_Y_C0: Fq = MontFp!(Fq, "39940152670760519653940320314827327941993141403708338666925204282084477074754642625849927569427860786384998614863651207257467076192649385174108085803168743803491780568503369317093191101779534035377266300185099318717465441820654");
pub const G2_GENERATOR_Y_C0: Fq = MontFp!("39940152670760519653940320314827327941993141403708338666925204282084477074754642625849927569427860786384998614863651207257467076192649385174108085803168743803491780568503369317093191101779534035377266300185099318717465441820654");
pub const G2_GENERATOR_Y_C1: Fq = MontFp!(Fq, "17608637424964395737041291373756657139607306440193731804102457011726690702169238966996114255971643893157857311132388792357391583164125870757541009035041469463366528798593952884745987697403056488744603829437448927398468360797245");
pub const G2_GENERATOR_Y_C1: Fq = MontFp!("17608637424964395737041291373756657139607306440193731804102457011726690702169238966996114255971643893157857311132388792357391583164125870757541009035041469463366528798593952884745987697403056488744603829437448927398468360797245");