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Upgrade to work with latest ark-ff (#95)

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Co-authored-by: Sun <huachuang20@gmail.com>
This commit is contained in:
Pratyush Mishra
2022-03-07 13:12:03 -08:00
committed by GitHub
parent d0dc200f22
commit 1551d6d76c
231 changed files with 2830 additions and 4343 deletions
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28
ed_on_bls12_377/scripts/base_field.sage Normal file
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@@ -0,0 +1,28 @@
modulus = 8444461749428370424248824938781546531375899335154063827935233455917409239041
assert(modulus.is_prime())
Fp = GF(modulus)
generator = Fp(0);
for i in range(0, 30):
i = Fp(i);
neg_i = Fp(-i)
if not(i.is_primitive_root() or neg_i.is_primitive_root()):
continue
elif i.is_primitive_root():
assert(i.is_primitive_root());
print("Generator: %d" % i)
generator = i
break
else:
assert(neg_i.is_primitive_root());
print("Generator: %d" % neg_i)
generator = neg_i
break
two_adicity = valuation(modulus - 1, 2);
trace = (modulus - 1) / 2**two_adicity;
two_adic_root_of_unity = generator^trace
print("2-adic Root of Unity: %d " % two_adic_root_of_unity)

28
ed_on_bls12_377/scripts/scalar_field.sage Normal file
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@@ -0,0 +1,28 @@
modulus = 2111115437357092606062206234695386632838870926408408195193685246394721360383
assert(modulus.is_prime())
Fp = GF(modulus)
generator = Fp(0);
for i in range(0, 30):
i = Fp(i);
neg_i = Fp(-i)
if not(i.is_primitive_root() or neg_i.is_primitive_root()):
continue
elif i.is_primitive_root():
assert(i.is_primitive_root());
print("Generator: %d" % i)
generator = i
break
else:
assert(neg_i.is_primitive_root());
print("Generator: %d" % neg_i)
generator = neg_i
break
two_adicity = valuation(modulus - 1, 2);
trace = (modulus - 1) / 2**two_adicity;
two_adic_root_of_unity = generator^trace
print("2-adic Root of Unity: %d " % two_adic_root_of_unity)

3
ed_on_bls12_377/src/constraints/curves.rs
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@@ -1,7 +1,6 @@
use crate::*;
use ark_r1cs_std::groups::curves::twisted_edwards::AffineVar;
use crate::constraints::FqVar;
use crate::{constraints::FqVar, *};
/// A variable that is the R1CS equivalent of `crate::EdwardsAffine`.
pub type EdwardsVar = AffineVar<EdwardsParameters, FqVar>;

3
ed_on_bls12_377/src/constraints/fields.rs
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@@ -1,6 +1,7 @@
use crate::fq::Fq;
use ark_r1cs_std::fields::fp::FpVar;
use crate::fq::Fq;
/// A variable that is the R1CS equivalent of `crate::Fq`.
pub type FqVar = FpVar<Fq>;

42
ed_on_bls12_377/src/curves/mod.rs
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@@ -1,9 +1,10 @@
use crate::{fq::Fq, fr::Fr};
use ark_ec::{
models::{ModelParameters, MontgomeryModelParameters, TEModelParameters},
twisted_edwards_extended::{GroupAffine, GroupProjective},
};
use ark_ff::field_new;
use ark_ff::MontFp;
use crate::{fq::Fq, fr::Fr};
#[cfg(test)]
mod tests;
@@ -23,18 +24,18 @@ impl ModelParameters for EdwardsParameters {
/// COFACTOR_INV =
/// 527778859339273151515551558673846658209717731602102048798421311598680340096
#[rustfmt::skip]
const COFACTOR_INV: Fr = field_new!(Fr, "527778859339273151515551558673846658209717731602102048798421311598680340096");
const COFACTOR_INV: Fr = MontFp!(
Fr,
"527778859339273151515551558673846658209717731602102048798421311598680340096"
);
}
impl TEModelParameters for EdwardsParameters {
/// COEFF_A = -1
#[rustfmt::skip]
const COEFF_A: Fq = field_new!(Fq, "-1");
const COEFF_A: Fq = MontFp!(Fq, "-1");
/// COEFF_D = 3021
#[rustfmt::skip]
const COEFF_D: Fq = field_new!(Fq, "3021");
const COEFF_D: Fq = MontFp!(Fq, "3021");
/// Generated randomly
const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) = (GENERATOR_X, GENERATOR_Y);
@@ -52,22 +53,31 @@ impl TEModelParameters for EdwardsParameters {
impl MontgomeryModelParameters for EdwardsParameters {
/// COEFF_A = 0x8D26E3FADA9010A26949031ECE3971B93952AD84D4753DDEDB748DA37E8F552
/// = 3990301581132929505568273333084066329187552697088022219156688740916631500114
#[rustfmt::skip]
const COEFF_A: Fq = field_new!(Fq, "3990301581132929505568273333084066329187552697088022219156688740916631500114");
const COEFF_A: Fq = MontFp!(
Fq,
"3990301581132929505568273333084066329187552697088022219156688740916631500114"
);
/// COEFF_B = 0x9D8F71EEC83A44C3A1FBCEC6F5418E5C6154C2682B8AC231C5A3725C8170AAD
/// = 4454160168295440918680551605697480202188346638066041608778544715000777738925
#[rustfmt::skip]
const COEFF_B: Fq = field_new!(Fq, "4454160168295440918680551605697480202188346638066041608778544715000777738925");
const COEFF_B: Fq = MontFp!(
Fq,
"4454160168295440918680551605697480202188346638066041608778544715000777738925"
);
type TEModelParameters = EdwardsParameters;
}
/// GENERATOR_X =
/// 4497879464030519973909970603271755437257548612157028181994697785683032656389,
#[rustfmt::skip]
const GENERATOR_X: Fq = field_new!(Fq, "4497879464030519973909970603271755437257548612157028181994697785683032656389");
const GENERATOR_X: Fq = MontFp!(
Fq,
"4497879464030519973909970603271755437257548612157028181994697785683032656389"
);
/// GENERATOR_Y =
/// 4357141146396347889246900916607623952598927460421559113092863576544024487809
#[rustfmt::skip]
const GENERATOR_Y: Fq = field_new!(Fq, "4357141146396347889246900916607623952598927460421559113092863576544024487809");
const GENERATOR_Y: Fq = MontFp!(
Fq,
"4357141146396347889246900916607623952598927460421559113092863576544024487809"
);

6
ed_on_bls12_377/src/curves/tests.rs
View File

@@ -1,11 +1,9 @@
use ark_algebra_test_templates::{curves::*, groups::*};
use ark_ec::{AffineCurve, ProjectiveCurve};
use ark_std::rand::Rng;
use ark_std::test_rng;
use ark_std::{rand::Rng, test_rng};
use crate::*;
use ark_algebra_test_templates::{curves::*, groups::*};
#[test]
fn test_projective_curve() {
curve_tests::<EdwardsProjective>();

2
ed_on_bls12_377/src/fields/fq.rs
View File

@@ -1 +1 @@
pub use ark_bls12_377::{Fr as Fq, FrParameters as FqParameters};
pub use ark_bls12_377::{Fr as Fq, FrConfig as FqConfig};

88
ed_on_bls12_377/src/fields/fr.rs
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@@ -1,83 +1,7 @@
use ark_ff::{
biginteger::{BigInt, BigInteger256 as BigInteger},
fields::{FftParameters, Fp256, Fp256Parameters, FpParameters},
};
use ark_ff::fields::{Fp256, MontBackend, MontConfig};
pub type Fr = Fp256<FrParameters>;
pub struct FrParameters;
impl Fp256Parameters for FrParameters {}
impl FftParameters for FrParameters {
type BigInt = BigInteger;
const TWO_ADICITY: u32 = 1;
#[rustfmt::skip]
const TWO_ADIC_ROOT_OF_UNITY: BigInteger = BigInt::new([
15170730761708361161u64,
13670723686578117817u64,
12803492266614043665u64,
50861023252832611u64,
]);
}
impl FpParameters for FrParameters {
/// MODULUS = 2111115437357092606062206234695386632838870926408408195193685246394721360383
#[rustfmt::skip]
const MODULUS: BigInteger = BigInt::new([
13356249993388743167u64,
5950279507993463550u64,
10965441865914903552u64,
336320092672043349u64,
]);
const MODULUS_BITS: u32 = 251;
const CAPACITY: u32 = Self::MODULUS_BITS - 1;
const REPR_SHAVE_BITS: u32 = 5;
#[rustfmt::skip]
const R: BigInteger = BigInt::new([
16632263305389933622u64,
10726299895124897348u64,
16608693673010411502u64,
285459069419210737u64,
]);
#[rustfmt::skip]
const R2: BigInteger = BigInt::new([
3987543627614508126u64,
17742427666091596403u64,
14557327917022607905u64,
322810149704226881u64,
]);
const INV: u64 = 9659935179256617473u64;
// 70865795004005329077606947863872807680085016823885970091001235374859923341923
#[rustfmt::skip]
const GENERATOR: BigInteger = BigInt::new([
11289572479685143826u64,
11383637369941080925u64,
2288212753973340071u64,
82014976407880291u64,
]);
#[rustfmt::skip]
const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInt::new([
6678124996694371583u64,
2975139753996731775u64,
14706092969812227584u64,
168160046336021674u64,
]);
const T: BigInteger = Self::MODULUS_MINUS_ONE_DIV_TWO;
const T_MINUS_ONE_DIV_TWO: BigInteger = BigInt::new([
0xae56bba6b0cff67f,
0x14a4e8ebf10f22bf,
0x660b44d1e5c37b00,
0x12ab655e9a2ca55,
]);
}
#[derive(MontConfig)]
#[modulus = "2111115437357092606062206234695386632838870926408408195193685246394721360383"]
#[generator = "5"]
pub struct FrConfig;
pub type Fr = Fp256<MontBackend<FrConfig, 4>>;

2
ed_on_bls12_377/src/fields/mod.rs
View File

@@ -4,5 +4,5 @@ pub mod fr;
pub use fq::*;
pub use fr::*;
#[cfg(all(feature = "ed_on_bls12_377", test))]
#[cfg(test)]
mod tests;

35
ed_on_bls12_377/src/fields/tests.rs
View File

@@ -1,24 +1,15 @@
use ark_std::rand::Rng;
use ark_std::test_rng;
use ark_algebra_test_templates::{
fields::*, generate_field_serialization_test, generate_field_test,
};
use ark_ff::{
fields::{Field, PrimeField, SquareRootField},
One, 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::{Fq, Fr};
use crate::{Fq, FqConfig, Fr, FrConfig};
use ark_algebra_test_templates::fields::*;
#[test]
fn test_fr() {
let mut rng = test_rng();
let a: Fr = rng.gen();
let b: Fr = rng.gen();
field_test(a, b);
primefield_test::<Fr>();
}
#[test]
fn test_fq() {
let mut rng = test_rng();
let a: Fq = rng.gen();
let b: Fq = rng.gen();
field_test(a, b);
primefield_test::<Fq>();
}
generate_field_test!(ed_on_bls12_377; mont(4, 4); );
generate_field_serialization_test!(ed_on_bls12_377;);

14
ed_on_bls12_377/src/lib.rs Normal file → Executable file
View File

@@ -8,14 +8,16 @@
)]
#![forbid(unsafe_code)]
//! This library implements a twisted Edwards curve whose base field is the scalar field of the
//! curve BLS12-377. This allows defining cryptographic primitives that use elliptic curves over
//! the scalar field of the latter curve. This curve was generated as part of the paper
//! [\[BCGMMW20, “Zexe”\]](https://eprint.iacr.org/2018/962).
//! This library implements a twisted Edwards curve whose base field is the
//! scalar field of the curve BLS12-377. This allows defining cryptographic
//! primitives that use elliptic curves over the scalar field of the latter
//! curve. This curve was generated as part of the paper [\[BCGMMW20, “Zexe”\]](https://eprint.iacr.org/2018/962).
//!
//! Curve information:
//! * Base field: q = 8444461749428370424248824938781546531375899335154063827935233455917409239041
//! * Scalar field: r = 2111115437357092606062206234695386632838870926408408195193685246394721360383
//! * Base field: q =
//! 8444461749428370424248824938781546531375899335154063827935233455917409239041
//! * Scalar field: r =
//! 2111115437357092606062206234695386632838870926408408195193685246394721360383
//! * Valuation(q - 1, 2) = 47
//! * Valuation(r - 1, 2) = 1
//! * Curve equation: ax^2 + y^2 =1 + dx^2y^2, where