mirror of
https://github.com/arnaucube/ark-curves-cherry-picked.git
synced 2026-01-27 14:13:46 +01:00
Upgrade to work with latest ark-ff (#95)
Co-authored-by: Sun <huachuang20@gmail.com>
This commit is contained in:
Pratyush Mishra
@@ -1,115 +1,10 @@
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use ark_ff::{
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biginteger::{BigInt, BigInteger384 as BigInteger},
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field_new,
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fields::{FftParameters, Fp384, Fp384Parameters, FpParameters},
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};
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use ark_ff::fields::{Fp384, MontBackend, MontConfig, MontFp};
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pub type Fq = Fp384<FqParameters>;
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#[derive(MontConfig)]
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#[modulus = "4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559787"]
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#[generator = "2"]
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pub struct FqConfig;
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pub type Fq = Fp384<MontBackend<FqConfig, 6>>;
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pub struct FqParameters;
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impl Fp384Parameters for FqParameters {}
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impl FftParameters for FqParameters {
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type BigInt = BigInteger;
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const TWO_ADICITY: u32 = 1;
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#[rustfmt::skip]
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const TWO_ADIC_ROOT_OF_UNITY: BigInteger = BigInt::new([
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0x43f5fffffffcaaae,
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0x32b7fff2ed47fffd,
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0x7e83a49a2e99d69,
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0xeca8f3318332bb7a,
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0xef148d1ea0f4c069,
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0x40ab3263eff0206,
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]);
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}
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impl FpParameters for FqParameters {
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/// MODULUS = 4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559787
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#[rustfmt::skip]
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const MODULUS: BigInteger = BigInt::new([
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0xb9feffffffffaaab,
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0x1eabfffeb153ffff,
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0x6730d2a0f6b0f624,
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0x64774b84f38512bf,
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0x4b1ba7b6434bacd7,
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0x1a0111ea397fe69a,
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]);
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const MODULUS_BITS: u32 = 381;
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const CAPACITY: u32 = Self::MODULUS_BITS - 1;
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const REPR_SHAVE_BITS: u32 = 3;
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/// R = 3380320199399472671518931668520476396067793891014375699959770179129436917079669831430077592723774664465579537268733
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#[rustfmt::skip]
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const R: BigInteger = BigInt::new([
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0x760900000002fffd,
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0xebf4000bc40c0002,
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0x5f48985753c758ba,
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0x77ce585370525745,
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0x5c071a97a256ec6d,
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0x15f65ec3fa80e493,
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]);
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#[rustfmt::skip]
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const R2: BigInteger = BigInt::new([
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0xf4df1f341c341746,
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0xa76e6a609d104f1,
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0x8de5476c4c95b6d5,
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0x67eb88a9939d83c0,
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0x9a793e85b519952d,
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0x11988fe592cae3aa,
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]);
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const INV: u64 = 0x89f3fffcfffcfffd;
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/// GENERATOR = 2
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/// Encoded in Montgomery form, so the value is
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/// 2 * R % q = 2758230843577277949620073511305048635578704962089743514587482222134842183668501798417467556318533664893264801977679
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#[rustfmt::skip]
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const GENERATOR: BigInteger = BigInt::new([
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0x321300000006554f,
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0xb93c0018d6c40005,
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0x57605e0db0ddbb51,
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0x8b256521ed1f9bcb,
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0x6cf28d7901622c03,
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0x11ebab9dbb81e28c,
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]);
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#[rustfmt::skip]
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const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInt::new([
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0xdcff7fffffffd555,
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0xf55ffff58a9ffff,
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0xb39869507b587b12,
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0xb23ba5c279c2895f,
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0x258dd3db21a5d66b,
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0xd0088f51cbff34d,
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]);
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/// T and T_MINUS_ONE_DIV_TWO, where MODULUS - 1 = 2^S * T
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/// For T coprime to 2
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#[rustfmt::skip]
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const T: BigInteger = BigInt::new([
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0xdcff7fffffffd555,
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0xf55ffff58a9ffff,
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0xb39869507b587b12,
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0xb23ba5c279c2895f,
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0x258dd3db21a5d66b,
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0xd0088f51cbff34d,
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]);
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#[rustfmt::skip]
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const T_MINUS_ONE_DIV_TWO: BigInteger = BigInt::new([
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0xee7fbfffffffeaaa,
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0x7aaffffac54ffff,
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0xd9cc34a83dac3d89,
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0xd91dd2e13ce144af,
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0x92c6e9ed90d2eb35,
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0x680447a8e5ff9a6,
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]);
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}
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pub const FQ_ONE: Fq = field_new!(Fq, "1");
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pub const FQ_ZERO: Fq = field_new!(Fq, "0");
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pub const FQ_ONE: Fq = MontFp!(Fq, "1");
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pub const FQ_ZERO: Fq = MontFp!(Fq, "0");
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@@ -1,76 +1,77 @@
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use crate::*;
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use ark_ff::{field_new, fields::*};
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use ark_ff::{fields::*, CubicExt, MontFp, QuadExt};
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pub type Fq12 = Fp12<Fq12Parameters>;
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use crate::*;
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pub type Fq12 = Fp12<Fq12Config>;
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#[derive(Clone, Copy)]
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pub struct Fq12Parameters;
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pub struct Fq12Config;
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impl Fp12Parameters for Fq12Parameters {
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type Fp6Params = Fq6Parameters;
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impl Fp12Config for Fq12Config {
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type Fp6Config = Fq6Config;
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const NONRESIDUE: Fq6 = field_new!(Fq6, FQ2_ZERO, FQ2_ONE, FQ2_ZERO);
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const NONRESIDUE: Fq6 = CubicExt!(FQ2_ZERO, FQ2_ONE, FQ2_ZERO);
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const FROBENIUS_COEFF_FP12_C1: &'static [Fq2] = &[
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// Fp2::NONRESIDUE^(((q^0) - 1) / 6)
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field_new!(Fq2,
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field_new!(Fq, "1"),
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field_new!(Fq, "0"),
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QuadExt!(
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MontFp!(Fq, "1"),
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MontFp!(Fq, "0"),
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),
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// Fp2::NONRESIDUE^(((q^1) - 1) / 6)
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field_new!(Fq2,
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field_new!(Fq, "3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760"),
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field_new!(Fq, "151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027"),
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QuadExt!(
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MontFp!(Fq, "3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760"),
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MontFp!(Fq, "151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027"),
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),
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// Fp2::NONRESIDUE^(((q^2) - 1) / 6)
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field_new!(Fq2,
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field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351"),
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field_new!(Fq, "0"),
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QuadExt!(
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MontFp!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351"),
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MontFp!(Fq, "0"),
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),
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// Fp2::NONRESIDUE^(((q^3) - 1) / 6)
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field_new!(Fq2,
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field_new!(Fq, "2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530"),
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field_new!(Fq, "1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257"),
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QuadExt!(
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MontFp!(Fq, "2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530"),
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MontFp!(Fq, "1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257"),
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),
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// Fp2::NONRESIDUE^(((q^4) - 1) / 6)
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field_new!(Fq2,
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field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
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field_new!(Fq, "0"),
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QuadExt!(
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MontFp!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
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MontFp!(Fq, "0"),
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),
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// Fp2::NONRESIDUE^(((q^5) - 1) / 6)
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field_new!(Fq2,
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field_new!(Fq, "3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557"),
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field_new!(Fq, "877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230"),
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QuadExt!(
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MontFp!(Fq, "3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557"),
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MontFp!(Fq, "877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230"),
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),
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// Fp2::NONRESIDUE^(((q^6) - 1) / 6)
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field_new!(Fq2,
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field_new!(Fq, "-1"),
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field_new!(Fq, "0"),
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QuadExt!(
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MontFp!(Fq, "-1"),
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MontFp!(Fq, "0"),
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),
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// Fp2::NONRESIDUE^(((q^7) - 1) / 6)
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field_new!(Fq2,
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field_new!(Fq, "151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027"),
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field_new!(Fq, "3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760"),
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QuadExt!(
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MontFp!(Fq, "151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027"),
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MontFp!(Fq, "3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760"),
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),
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// Fp2::NONRESIDUE^(((q^8) - 1) / 6)
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field_new!(Fq2,
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field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
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field_new!(Fq, "0"),
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QuadExt!(
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MontFp!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
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MontFp!(Fq, "0"),
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),
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// Fp2::NONRESIDUE^(((q^9) - 1) / 6)
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field_new!(Fq2,
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field_new!(Fq, "1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257"),
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field_new!(Fq, "2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530"),
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QuadExt!(
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MontFp!(Fq, "1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257"),
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MontFp!(Fq, "2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530"),
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),
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// Fp2::NONRESIDUE^(((q^10) - 1) / 6)
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field_new!(Fq2,
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field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437"),
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field_new!(Fq, "0"),
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QuadExt!(
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MontFp!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437"),
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MontFp!(Fq, "0"),
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),
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// Fp2::NONRESIDUE^(((q^11) - 1) / 6)
|
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field_new!(Fq2,
|
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field_new!(Fq, "877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230"),
|
||||
field_new!(Fq, "3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557"),
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QuadExt!(
|
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MontFp!(Fq, "877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230"),
|
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MontFp!(Fq, "3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557"),
|
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),
|
||||
];
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}
|
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|
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@@ -1,28 +1,26 @@
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use ark_ff::{fields::*, MontFp, QuadExt};
|
||||
|
||||
use crate::*;
|
||||
use ark_ff::{field_new, fields::*};
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pub type Fq2 = Fp2<Fq2Parameters>;
|
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pub type Fq2 = Fp2<Fq2Config>;
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pub struct Fq2Parameters;
|
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pub struct Fq2Config;
|
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|
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impl Fp2Parameters for Fq2Parameters {
|
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impl Fp2Config for Fq2Config {
|
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type Fp = Fq;
|
||||
|
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/// NONRESIDUE = -1
|
||||
#[rustfmt::skip]
|
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const NONRESIDUE: Fq = field_new!(Fq, "-1");
|
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const NONRESIDUE: Fq = MontFp!(Fq, "-1");
|
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|
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/// QUADRATIC_NONRESIDUE = (U + 1)
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#[rustfmt::skip]
|
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const QUADRATIC_NONRESIDUE: (Fq, Fq) = (FQ_ONE, FQ_ONE);
|
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const QUADRATIC_NONRESIDUE: Fq2 = QuadExt!(FQ_ONE, FQ_ONE);
|
||||
|
||||
/// Coefficients for the Frobenius automorphism.
|
||||
#[rustfmt::skip]
|
||||
const FROBENIUS_COEFF_FP2_C1: &'static [Fq] = &[
|
||||
// Fq(-1)**(((q^0) - 1) / 2)
|
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field_new!(Fq, "1"),
|
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MontFp!(Fq, "1"),
|
||||
// Fq(-1)**(((q^1) - 1) / 2)
|
||||
field_new!(Fq, "-1"),
|
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MontFp!(Fq, "-1"),
|
||||
];
|
||||
|
||||
#[inline(always)]
|
||||
@@ -31,5 +29,5 @@ impl Fp2Parameters for Fq2Parameters {
|
||||
}
|
||||
}
|
||||
|
||||
pub const FQ2_ZERO: Fq2 = field_new!(Fq2, FQ_ZERO, FQ_ZERO);
|
||||
pub const FQ2_ONE: Fq2 = field_new!(Fq2, FQ_ONE, FQ_ZERO);
|
||||
pub const FQ2_ZERO: Fq2 = QuadExt!(FQ_ZERO, FQ_ZERO);
|
||||
pub const FQ2_ONE: Fq2 = QuadExt!(FQ_ONE, FQ_ZERO);
|
||||
|
||||
@@ -1,86 +1,82 @@
|
||||
use crate::*;
|
||||
use ark_ff::{field_new, fields::*};
|
||||
use ark_ff::{fields::*, MontFp, QuadExt};
|
||||
|
||||
pub type Fq6 = Fp6<Fq6Parameters>;
|
||||
use crate::*;
|
||||
|
||||
pub type Fq6 = Fp6<Fq6Config>;
|
||||
|
||||
#[derive(Clone, Copy)]
|
||||
pub struct Fq6Parameters;
|
||||
pub struct Fq6Config;
|
||||
|
||||
impl Fp6Parameters for Fq6Parameters {
|
||||
type Fp2Params = Fq2Parameters;
|
||||
impl Fp6Config for Fq6Config {
|
||||
type Fp2Config = Fq2Config;
|
||||
|
||||
/// NONRESIDUE = (U + 1)
|
||||
#[rustfmt::skip]
|
||||
const NONRESIDUE: Fq2 = field_new!(Fq2,
|
||||
field_new!(Fq, "1"),
|
||||
field_new!(Fq, "1"),
|
||||
);
|
||||
const NONRESIDUE: Fq2 = QuadExt!(FQ_ONE, FQ_ONE);
|
||||
|
||||
#[rustfmt::skip]
|
||||
const FROBENIUS_COEFF_FP6_C1: &'static [Fq2] = &[
|
||||
// Fp2::NONRESIDUE^(((q^0) - 1) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, "1"),
|
||||
field_new!(Fq, "0"),
|
||||
QuadExt!(
|
||||
MontFp!(Fq, "1"),
|
||||
MontFp!(Fq, "0"),
|
||||
),
|
||||
// Fp2::NONRESIDUE^(((q^1) - 1) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, "0"),
|
||||
field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
|
||||
QuadExt!(
|
||||
MontFp!(Fq, "0"),
|
||||
MontFp!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
|
||||
),
|
||||
// Fp2::NONRESIDUE^(((q^2) - 1) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
|
||||
field_new!(Fq, "0"),
|
||||
QuadExt!(
|
||||
MontFp!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
|
||||
MontFp!(Fq, "0"),
|
||||
),
|
||||
// Fp2::NONRESIDUE^(((q^3) - 1) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, "0"),
|
||||
field_new!(Fq, "1"),
|
||||
QuadExt!(
|
||||
MontFp!(Fq, "0"),
|
||||
MontFp!(Fq, "1"),
|
||||
),
|
||||
// Fp2::NONRESIDUE^(((q^4) - 1) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
|
||||
field_new!(Fq, "0"),
|
||||
QuadExt!(
|
||||
MontFp!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
|
||||
MontFp!(Fq, "0"),
|
||||
),
|
||||
// Fp2::NONRESIDUE^(((q^5) - 1) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, "0"),
|
||||
field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
|
||||
QuadExt!(
|
||||
MontFp!(Fq, "0"),
|
||||
MontFp!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
|
||||
),
|
||||
];
|
||||
|
||||
#[rustfmt::skip]
|
||||
const FROBENIUS_COEFF_FP6_C2: &'static [Fq2] = &[
|
||||
// Fq2(u + 1)**(((2q^0) - 2) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, "1"),
|
||||
field_new!(Fq, "0"),
|
||||
QuadExt!(
|
||||
MontFp!(Fq, "1"),
|
||||
MontFp!(Fq, "0"),
|
||||
),
|
||||
// Fq2(u + 1)**(((2q^1) - 2) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437"),
|
||||
field_new!(Fq, "0"),
|
||||
QuadExt!(
|
||||
MontFp!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437"),
|
||||
MontFp!(Fq, "0"),
|
||||
),
|
||||
// Fq2(u + 1)**(((2q^2) - 2) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
|
||||
field_new!(Fq, "0"),
|
||||
QuadExt!(
|
||||
MontFp!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
|
||||
MontFp!(Fq, "0"),
|
||||
),
|
||||
// Fq2(u + 1)**(((2q^3) - 2) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, "-1"),
|
||||
field_new!(Fq, "0"),
|
||||
QuadExt!(
|
||||
MontFp!(Fq, "-1"),
|
||||
MontFp!(Fq, "0"),
|
||||
),
|
||||
// Fq2(u + 1)**(((2q^4) - 2) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
|
||||
field_new!(Fq, "0"),
|
||||
QuadExt!(
|
||||
MontFp!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
|
||||
MontFp!(Fq, "0"),
|
||||
),
|
||||
// Fq2(u + 1)**(((2q^5) - 2) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351"),
|
||||
field_new!(Fq, "0"),
|
||||
QuadExt!(
|
||||
MontFp!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351"),
|
||||
MontFp!(Fq, "0"),
|
||||
),
|
||||
];
|
||||
|
||||
|
||||
@@ -1,100 +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 = 32;
|
||||
|
||||
#[rustfmt::skip]
|
||||
const TWO_ADIC_ROOT_OF_UNITY: BigInteger = BigInt::new([
|
||||
0xb9b58d8c5f0e466a,
|
||||
0x5b1b4c801819d7ec,
|
||||
0xaf53ae352a31e64,
|
||||
0x5bf3adda19e9b27b,
|
||||
]);
|
||||
}
|
||||
impl FpParameters for FrParameters {
|
||||
/// MODULUS = 52435875175126190479447740508185965837690552500527637822603658699938581184513
|
||||
#[rustfmt::skip]
|
||||
const MODULUS: BigInteger = BigInt::new([
|
||||
0xffffffff00000001,
|
||||
0x53bda402fffe5bfe,
|
||||
0x3339d80809a1d805,
|
||||
0x73eda753299d7d48,
|
||||
]);
|
||||
|
||||
const MODULUS_BITS: u32 = 255;
|
||||
|
||||
const CAPACITY: u32 = Self::MODULUS_BITS - 1;
|
||||
|
||||
const REPR_SHAVE_BITS: u32 = 1;
|
||||
|
||||
/// R = 10920338887063814464675503992315976177888879664585288394250266608035967270910
|
||||
#[rustfmt::skip]
|
||||
const R: BigInteger = BigInt::new([
|
||||
0x1fffffffe,
|
||||
0x5884b7fa00034802,
|
||||
0x998c4fefecbc4ff5,
|
||||
0x1824b159acc5056f,
|
||||
]);
|
||||
|
||||
#[rustfmt::skip]
|
||||
const R2: BigInteger = BigInt::new([
|
||||
0xc999e990f3f29c6d,
|
||||
0x2b6cedcb87925c23,
|
||||
0x5d314967254398f,
|
||||
0x748d9d99f59ff11,
|
||||
]);
|
||||
|
||||
const INV: u64 = 0xfffffffeffffffff;
|
||||
|
||||
/// GENERATOR = 7
|
||||
/// Encoded in Montgomery form, so the value here is
|
||||
/// 7 * R % q = 24006497034320510773280787438025867407531605151569380937148207556313189711857
|
||||
#[rustfmt::skip]
|
||||
const GENERATOR: BigInteger = BigInt::new([
|
||||
0xefffffff1,
|
||||
0x17e363d300189c0f,
|
||||
0xff9c57876f8457b0,
|
||||
0x351332208fc5a8c4,
|
||||
]);
|
||||
|
||||
#[rustfmt::skip]
|
||||
const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInt::new([
|
||||
0x7fffffff80000000,
|
||||
0xa9ded2017fff2dff,
|
||||
0x199cec0404d0ec02,
|
||||
0x39f6d3a994cebea4,
|
||||
]);
|
||||
|
||||
// T and T_MINUS_ONE_DIV_TWO, where MODULUS - 1 = 2^S * T
|
||||
// For T coprime to 2
|
||||
|
||||
// T = (MODULUS - 1) / 2^S =
|
||||
// 12208678567578594777604504606729831043093128246378069236549469339647
|
||||
#[rustfmt::skip]
|
||||
const T: BigInteger = BigInt::new([
|
||||
0xfffe5bfeffffffff,
|
||||
0x9a1d80553bda402,
|
||||
0x299d7d483339d808,
|
||||
0x73eda753,
|
||||
]);
|
||||
|
||||
// (T - 1) / 2 =
|
||||
// 6104339283789297388802252303364915521546564123189034618274734669823
|
||||
#[rustfmt::skip]
|
||||
const T_MINUS_ONE_DIV_TWO: BigInteger = BigInt::new([
|
||||
0x7fff2dff7fffffff,
|
||||
0x4d0ec02a9ded201,
|
||||
0x94cebea4199cec04,
|
||||
0x39f6d3a9,
|
||||
]);
|
||||
}
|
||||
#[derive(MontConfig)]
|
||||
#[modulus = "52435875175126190479447740508185965837690552500527637822603658699938581184513"]
|
||||
#[generator = "7"]
|
||||
pub struct FrConfig;
|
||||
pub type Fr = Fp256<MontBackend<FrConfig, 4>>;
|
||||
|
||||
@@ -23,5 +23,5 @@ pub mod fq12;
|
||||
#[cfg(feature = "curve")]
|
||||
pub use self::fq12::*;
|
||||
|
||||
#[cfg(all(feature = "curve", feature = "std", test))]
|
||||
#[cfg(all(feature = "curve", test))]
|
||||
mod tests;
|
||||
|
||||
@@ -1,22 +1,23 @@
|
||||
use ark_algebra_test_templates::{
|
||||
fields::*, generate_field_serialization_test, generate_field_test,
|
||||
};
|
||||
use ark_ff::{
|
||||
biginteger::{BigInt, BigInteger, BigInteger384},
|
||||
fields::{
|
||||
FftField, FftParameters, Field, Fp12Parameters, Fp2Parameters, Fp6Parameters, FpParameters,
|
||||
SquareRootField,
|
||||
},
|
||||
fields::{FftField, Field, Fp12Config, Fp2Config, Fp6Config, PrimeField, SquareRootField},
|
||||
One, UniformRand, Zero,
|
||||
};
|
||||
use ark_serialize::{buffer_bit_byte_size, CanonicalSerialize};
|
||||
use ark_std::{
|
||||
cmp::Ordering,
|
||||
ops::{AddAssign, MulAssign, SubAssign},
|
||||
rand::Rng,
|
||||
test_rng,
|
||||
test_rng, vec,
|
||||
};
|
||||
|
||||
use crate::{Fq, Fq12, Fq12Parameters, Fq2, Fq2Parameters, Fq6, Fq6Parameters, FqParameters, Fr};
|
||||
use ark_algebra_test_templates::{fields::*, generate_field_test};
|
||||
use crate::{Fq, Fq12, Fq12Config, Fq2, Fq2Config, Fq6, Fq6Config, FqConfig, Fr, FrConfig};
|
||||
|
||||
generate_field_test!(bls12_381; fq2; fq6; fq12;);
|
||||
generate_field_test!(bls12_381; fq2; fq6; fq12; mont(6, 4); );
|
||||
generate_field_serialization_test!(bls12_381; fq2; fq6; fq12;);
|
||||
|
||||
#[test]
|
||||
fn test_negative_one() {
|
||||
@@ -35,9 +36,9 @@ fn test_negative_one() {
|
||||
fn test_frob_coeffs() {
|
||||
let nqr = -Fq::one();
|
||||
|
||||
assert_eq!(Fq2Parameters::FROBENIUS_COEFF_FP2_C1[0], Fq::one());
|
||||
assert_eq!(Fq2Config::FROBENIUS_COEFF_FP2_C1[0], Fq::one());
|
||||
assert_eq!(
|
||||
Fq2Parameters::FROBENIUS_COEFF_FP2_C1[1],
|
||||
Fq2Config::FROBENIUS_COEFF_FP2_C1[1],
|
||||
nqr.pow([
|
||||
0xdcff7fffffffd555,
|
||||
0xf55ffff58a9ffff,
|
||||
@@ -50,9 +51,9 @@ fn test_frob_coeffs() {
|
||||
|
||||
let nqr = Fq2::new(Fq::one(), Fq::one());
|
||||
|
||||
assert_eq!(Fq6Parameters::FROBENIUS_COEFF_FP6_C1[0], Fq2::one());
|
||||
assert_eq!(Fq6Config::FROBENIUS_COEFF_FP6_C1[0], Fq2::one());
|
||||
assert_eq!(
|
||||
Fq6Parameters::FROBENIUS_COEFF_FP6_C1[1],
|
||||
Fq6Config::FROBENIUS_COEFF_FP6_C1[1],
|
||||
nqr.pow([
|
||||
0x9354ffffffffe38e,
|
||||
0xa395554e5c6aaaa,
|
||||
@@ -63,7 +64,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq6Parameters::FROBENIUS_COEFF_FP6_C1[2],
|
||||
Fq6Config::FROBENIUS_COEFF_FP6_C1[2],
|
||||
nqr.pow([
|
||||
0xb78e0000097b2f68,
|
||||
0xd44f23b47cbd64e3,
|
||||
@@ -80,7 +81,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq6Parameters::FROBENIUS_COEFF_FP6_C1[3],
|
||||
Fq6Config::FROBENIUS_COEFF_FP6_C1[3],
|
||||
nqr.pow([
|
||||
0xdbc6fcd6f35b9e06,
|
||||
0x997dead10becd6aa,
|
||||
@@ -103,7 +104,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq6Parameters::FROBENIUS_COEFF_FP6_C1[4],
|
||||
Fq6Config::FROBENIUS_COEFF_FP6_C1[4],
|
||||
nqr.pow([
|
||||
0x4649add3c71c6d90,
|
||||
0x43caa6528972a865,
|
||||
@@ -132,7 +133,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq6Parameters::FROBENIUS_COEFF_FP6_C1[5],
|
||||
Fq6Config::FROBENIUS_COEFF_FP6_C1[5],
|
||||
nqr.pow([
|
||||
0xf896f792732eb2be,
|
||||
0x49c86a6d1dc593a1,
|
||||
@@ -167,9 +168,9 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
|
||||
assert_eq!(Fq6Parameters::FROBENIUS_COEFF_FP6_C2[0], Fq2::one());
|
||||
assert_eq!(Fq6Config::FROBENIUS_COEFF_FP6_C2[0], Fq2::one());
|
||||
assert_eq!(
|
||||
Fq6Parameters::FROBENIUS_COEFF_FP6_C2[1],
|
||||
Fq6Config::FROBENIUS_COEFF_FP6_C2[1],
|
||||
nqr.pow([
|
||||
0x26a9ffffffffc71c,
|
||||
0x1472aaa9cb8d5555,
|
||||
@@ -180,7 +181,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq6Parameters::FROBENIUS_COEFF_FP6_C2[2],
|
||||
Fq6Config::FROBENIUS_COEFF_FP6_C2[2],
|
||||
nqr.pow([
|
||||
0x6f1c000012f65ed0,
|
||||
0xa89e4768f97ac9c7,
|
||||
@@ -197,7 +198,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq6Parameters::FROBENIUS_COEFF_FP6_C2[3],
|
||||
Fq6Config::FROBENIUS_COEFF_FP6_C2[3],
|
||||
nqr.pow([
|
||||
0xb78df9ade6b73c0c,
|
||||
0x32fbd5a217d9ad55,
|
||||
@@ -220,7 +221,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq6Parameters::FROBENIUS_COEFF_FP6_C2[4],
|
||||
Fq6Config::FROBENIUS_COEFF_FP6_C2[4],
|
||||
nqr.pow([
|
||||
0x8c935ba78e38db20,
|
||||
0x87954ca512e550ca,
|
||||
@@ -249,7 +250,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq6Parameters::FROBENIUS_COEFF_FP6_C2[5],
|
||||
Fq6Config::FROBENIUS_COEFF_FP6_C2[5],
|
||||
nqr.pow([
|
||||
0xf12def24e65d657c,
|
||||
0x9390d4da3b8b2743,
|
||||
@@ -284,9 +285,9 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
|
||||
assert_eq!(Fq12Parameters::FROBENIUS_COEFF_FP12_C1[0], Fq2::one());
|
||||
assert_eq!(Fq12Config::FROBENIUS_COEFF_FP12_C1[0], Fq2::one());
|
||||
assert_eq!(
|
||||
Fq12Parameters::FROBENIUS_COEFF_FP12_C1[1],
|
||||
Fq12Config::FROBENIUS_COEFF_FP12_C1[1],
|
||||
nqr.pow([
|
||||
0x49aa7ffffffff1c7,
|
||||
0x51caaaa72e35555,
|
||||
@@ -297,7 +298,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq12Parameters::FROBENIUS_COEFF_FP12_C1[2],
|
||||
Fq12Config::FROBENIUS_COEFF_FP12_C1[2],
|
||||
nqr.pow([
|
||||
0xdbc7000004bd97b4,
|
||||
0xea2791da3e5eb271,
|
||||
@@ -314,7 +315,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq12Parameters::FROBENIUS_COEFF_FP12_C1[3],
|
||||
Fq12Config::FROBENIUS_COEFF_FP12_C1[3],
|
||||
nqr.pow(vec![
|
||||
0x6de37e6b79adcf03,
|
||||
0x4cbef56885f66b55,
|
||||
@@ -337,7 +338,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq12Parameters::FROBENIUS_COEFF_FP12_C1[4],
|
||||
Fq12Config::FROBENIUS_COEFF_FP12_C1[4],
|
||||
nqr.pow(vec![
|
||||
0xa324d6e9e38e36c8,
|
||||
0xa1e5532944b95432,
|
||||
@@ -366,7 +367,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq12Parameters::FROBENIUS_COEFF_FP12_C1[5],
|
||||
Fq12Config::FROBENIUS_COEFF_FP12_C1[5],
|
||||
nqr.pow(vec![
|
||||
0xfc4b7bc93997595f,
|
||||
0xa4e435368ee2c9d0,
|
||||
@@ -401,7 +402,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq12Parameters::FROBENIUS_COEFF_FP12_C1[6],
|
||||
Fq12Config::FROBENIUS_COEFF_FP12_C1[6],
|
||||
nqr.pow(vec![
|
||||
0x21219610a012ba3c,
|
||||
0xa5c19ad35375325,
|
||||
@@ -442,7 +443,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq12Parameters::FROBENIUS_COEFF_FP12_C1[7],
|
||||
Fq12Config::FROBENIUS_COEFF_FP12_C1[7],
|
||||
nqr.pow(vec![
|
||||
0x742754a1f22fdb,
|
||||
0x2a1955c2dec3a702,
|
||||
@@ -489,7 +490,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq12Parameters::FROBENIUS_COEFF_FP12_C1[8],
|
||||
Fq12Config::FROBENIUS_COEFF_FP12_C1[8],
|
||||
nqr.pow(vec![
|
||||
0x802f5720d0b25710,
|
||||
0x6714f0a258b85c7c,
|
||||
@@ -542,7 +543,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq12Parameters::FROBENIUS_COEFF_FP12_C1[9],
|
||||
Fq12Config::FROBENIUS_COEFF_FP12_C1[9],
|
||||
nqr.pow(vec![
|
||||
0x4af4accf7de0b977,
|
||||
0x742485e21805b4ee,
|
||||
@@ -601,7 +602,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq12Parameters::FROBENIUS_COEFF_FP12_C1[10],
|
||||
Fq12Config::FROBENIUS_COEFF_FP12_C1[10],
|
||||
nqr.pow(vec![
|
||||
0xe5953a4f96cdda44,
|
||||
0x336b2d734cbc32bb,
|
||||
@@ -666,7 +667,7 @@ fn test_frob_coeffs() {
|
||||
])
|
||||
);
|
||||
assert_eq!(
|
||||
Fq12Parameters::FROBENIUS_COEFF_FP12_C1[11],
|
||||
Fq12Config::FROBENIUS_COEFF_FP12_C1[11],
|
||||
nqr.pow(vec![
|
||||
0x107db680942de533,
|
||||
0x6262b24d2052393b,
|
||||
@@ -750,7 +751,6 @@ fn test_neg_one() {
|
||||
0xef148d1ea0f4c069,
|
||||
0x40ab3263eff0206,
|
||||
];
|
||||
println!("{:?}", thing);
|
||||
let negative_one = Fq::new(BigInt::new(thing));
|
||||
|
||||
assert_eq!(negative_one, o);
|
||||
@@ -763,14 +763,14 @@ fn test_fq_repr_from() {
|
||||
|
||||
#[test]
|
||||
fn test_fq_repr_is_odd() {
|
||||
assert!(!BigInteger384::from(0).is_odd());
|
||||
assert!(BigInteger384::from(0).is_even());
|
||||
assert!(BigInteger384::from(1).is_odd());
|
||||
assert!(!BigInteger384::from(1).is_even());
|
||||
assert!(!BigInteger384::from(324834872).is_odd());
|
||||
assert!(BigInteger384::from(324834872).is_even());
|
||||
assert!(BigInteger384::from(324834873).is_odd());
|
||||
assert!(!BigInteger384::from(324834873).is_even());
|
||||
assert!(!BigInteger384::from(0u64).is_odd());
|
||||
assert!(BigInteger384::from(0u64).is_even());
|
||||
assert!(BigInteger384::from(1u64).is_odd());
|
||||
assert!(!BigInteger384::from(1u64).is_even());
|
||||
assert!(!BigInteger384::from(324834872u64).is_odd());
|
||||
assert!(BigInteger384::from(324834872u64).is_even());
|
||||
assert!(BigInteger384::from(324834873u64).is_odd());
|
||||
assert!(!BigInteger384::from(324834873u64).is_even());
|
||||
}
|
||||
|
||||
#[test]
|
||||
@@ -902,7 +902,7 @@ fn test_fq_repr_divn() {
|
||||
|
||||
#[test]
|
||||
fn test_fq_repr_mul2() {
|
||||
let mut a = BigInteger384::from(23712937547);
|
||||
let mut a = BigInteger384::from(23712937547u64);
|
||||
a.mul2();
|
||||
assert_eq!(a, BigInt::new([0xb0acd6c96, 0x0, 0x0, 0x0, 0x0, 0x0]));
|
||||
for _ in 0..60 {
|
||||
@@ -934,9 +934,9 @@ fn test_fq_repr_mul2() {
|
||||
|
||||
#[test]
|
||||
fn test_fq_repr_num_bits() {
|
||||
let mut a = BigInteger384::from(0);
|
||||
let mut a = BigInteger384::from(0u64);
|
||||
assert_eq!(0, a.num_bits());
|
||||
a = BigInteger384::from(1);
|
||||
a = BigInteger384::from(1u64);
|
||||
for i in 1..385 {
|
||||
assert_eq!(i, a.num_bits());
|
||||
a.mul2();
|
||||
@@ -956,7 +956,7 @@ fn test_fq_repr_sub_noborrow() {
|
||||
0xad0eb3948a5c34fd,
|
||||
0xd56f7b5ab8b5ce8,
|
||||
]);
|
||||
t.sub_noborrow(&BigInt::new([
|
||||
t.sub_with_borrow(&BigInt::new([
|
||||
0xc7867917187ca02b,
|
||||
0x5d75679d4911ffef,
|
||||
0x8c5b3e48b1a71c15,
|
||||
@@ -991,12 +991,12 @@ fn test_fq_repr_sub_noborrow() {
|
||||
assert!(b < c);
|
||||
|
||||
let mut csub_ba = c;
|
||||
csub_ba.sub_noborrow(&b);
|
||||
csub_ba.sub_noborrow(&a);
|
||||
csub_ba.sub_with_borrow(&b);
|
||||
csub_ba.sub_with_borrow(&a);
|
||||
|
||||
let mut csub_ab = c;
|
||||
csub_ab.sub_noborrow(&a);
|
||||
csub_ab.sub_noborrow(&b);
|
||||
csub_ab.sub_with_borrow(&a);
|
||||
csub_ab.sub_with_borrow(&b);
|
||||
|
||||
assert_eq!(csub_ab, csub_ba);
|
||||
}
|
||||
@@ -1010,7 +1010,7 @@ fn test_fq_repr_sub_noborrow() {
|
||||
0x4b1ba7b6434bacd7,
|
||||
0x1a0111ea397fe69a,
|
||||
]);
|
||||
qplusone.sub_noborrow(&BigInt::new([
|
||||
qplusone.sub_with_borrow(&BigInt::new([
|
||||
0xb9feffffffffaaac,
|
||||
0x1eabfffeb153ffff,
|
||||
0x6730d2a0f6b0f624,
|
||||
@@ -1043,7 +1043,7 @@ fn test_fq_repr_add_nocarry() {
|
||||
0xad0eb3948a5c34fd,
|
||||
0xd56f7b5ab8b5ce8,
|
||||
]);
|
||||
t.add_nocarry(&BigInt::new([
|
||||
t.add_with_carry(&BigInt::new([
|
||||
0xc7867917187ca02b,
|
||||
0x5d75679d4911ffef,
|
||||
0x8c5b3e48b1a71c15,
|
||||
@@ -1074,28 +1074,28 @@ fn test_fq_repr_add_nocarry() {
|
||||
c.0[5] >>= 3;
|
||||
|
||||
let mut abc = a;
|
||||
abc.add_nocarry(&b);
|
||||
abc.add_nocarry(&c);
|
||||
abc.add_with_carry(&b);
|
||||
abc.add_with_carry(&c);
|
||||
|
||||
let mut acb = a;
|
||||
acb.add_nocarry(&c);
|
||||
acb.add_nocarry(&b);
|
||||
acb.add_with_carry(&c);
|
||||
acb.add_with_carry(&b);
|
||||
|
||||
let mut bac = b;
|
||||
bac.add_nocarry(&a);
|
||||
bac.add_nocarry(&c);
|
||||
bac.add_with_carry(&a);
|
||||
bac.add_with_carry(&c);
|
||||
|
||||
let mut bca = b;
|
||||
bca.add_nocarry(&c);
|
||||
bca.add_nocarry(&a);
|
||||
bca.add_with_carry(&c);
|
||||
bca.add_with_carry(&a);
|
||||
|
||||
let mut cab = c;
|
||||
cab.add_nocarry(&a);
|
||||
cab.add_nocarry(&b);
|
||||
cab.add_with_carry(&a);
|
||||
cab.add_with_carry(&b);
|
||||
|
||||
let mut cba = c;
|
||||
cba.add_nocarry(&b);
|
||||
cba.add_nocarry(&a);
|
||||
cba.add_with_carry(&b);
|
||||
cba.add_with_carry(&a);
|
||||
|
||||
assert_eq!(abc, acb);
|
||||
assert_eq!(abc, bac);
|
||||
@@ -1113,7 +1113,7 @@ fn test_fq_repr_add_nocarry() {
|
||||
0xffffffffffffffff,
|
||||
0xffffffffffffffff,
|
||||
]);
|
||||
x.add_nocarry(&BigInteger384::from(1));
|
||||
x.add_with_carry(&BigInteger384::from(1u64));
|
||||
assert!(x.is_zero());
|
||||
}
|
||||
|
||||
@@ -1132,19 +1132,15 @@ fn test_fq2_sqrt() {
|
||||
|
||||
#[test]
|
||||
fn test_fq_num_bits() {
|
||||
assert_eq!(FqParameters::MODULUS_BITS, 381);
|
||||
assert_eq!(FqParameters::CAPACITY, 380);
|
||||
assert_eq!(Fq::MODULUS_BIT_SIZE, 381);
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_fq_root_of_unity() {
|
||||
assert_eq!(FqParameters::TWO_ADICITY, 1);
|
||||
assert_eq!(Fq::TWO_ADICITY, 1);
|
||||
assert_eq!(Fq::GENERATOR, Fq::from(BigInteger384::from(2u64)));
|
||||
assert_eq!(
|
||||
Fq::multiplicative_generator(),
|
||||
Fq::from(BigInteger384::from(2))
|
||||
);
|
||||
assert_eq!(
|
||||
Fq::multiplicative_generator().pow([
|
||||
Fq::GENERATOR.pow([
|
||||
0xdcff7fffffffd555,
|
||||
0xf55ffff58a9ffff,
|
||||
0xb39869507b587b12,
|
||||
@@ -1152,13 +1148,13 @@ fn test_fq_root_of_unity() {
|
||||
0x258dd3db21a5d66b,
|
||||
0xd0088f51cbff34d,
|
||||
]),
|
||||
Fq::two_adic_root_of_unity()
|
||||
Fq::TWO_ADIC_ROOT_OF_UNITY
|
||||
);
|
||||
assert_eq!(
|
||||
Fq::two_adic_root_of_unity().pow([1 << FqParameters::TWO_ADICITY]),
|
||||
Fq::TWO_ADIC_ROOT_OF_UNITY.pow([1 << Fq::TWO_ADICITY]),
|
||||
Fq::one()
|
||||
);
|
||||
assert!(Fq::multiplicative_generator().sqrt().is_none());
|
||||
assert!(Fq::GENERATOR.sqrt().is_none());
|
||||
}
|
||||
|
||||
// #[test]
|
||||
@@ -1173,7 +1169,7 @@ fn test_fq_root_of_unity() {
|
||||
fn test_fq_ordering() {
|
||||
// BigInteger384's ordering is well-tested, but we still need to make sure the
|
||||
// Fq elements aren't being compared in Montgomery form.
|
||||
for i in 0..100 {
|
||||
for i in 0..100u64 {
|
||||
assert!(Fq::from(BigInteger384::from(i + 1)) > Fq::from(BigInteger384::from(i)));
|
||||
}
|
||||
}
|
||||
@@ -1192,11 +1188,11 @@ fn test_fq_legendre() {
|
||||
|
||||
assert_eq!(
|
||||
QuadraticNonResidue,
|
||||
Fq::from(BigInteger384::from(2)).legendre()
|
||||
Fq::from(BigInteger384::from(2u64)).legendre()
|
||||
);
|
||||
assert_eq!(
|
||||
QuadraticResidue,
|
||||
Fq::from(BigInteger384::from(4)).legendre()
|
||||
Fq::from(BigInteger384::from(4u64)).legendre()
|
||||
);
|
||||
|
||||
let e = BigInt::new([
|
||||
@@ -1252,7 +1248,10 @@ fn test_fq2_basics() {
|
||||
#[test]
|
||||
fn test_fq2_squaring() {
|
||||
let a = Fq2::new(Fq::one(), Fq::one()).square(); // u + 1
|
||||
assert_eq!(a, Fq2::new(Fq::zero(), Fq::from(BigInteger384::from(2)),)); // 2u
|
||||
assert_eq!(
|
||||
a,
|
||||
Fq2::new(Fq::zero(), Fq::from(BigInteger384::from(2u64)),)
|
||||
); // 2u
|
||||
|
||||
let a = Fq2::new(Fq::zero(), Fq::one()).square(); // u
|
||||
assert_eq!(a, {
|
||||
@@ -1737,7 +1736,7 @@ fn test_fq2_legendre() {
|
||||
// i^2 = -1
|
||||
let mut m1 = -Fq2::one();
|
||||
assert_eq!(QuadraticResidue, m1.legendre());
|
||||
m1 = Fq6Parameters::mul_fp2_by_nonresidue(&m1);
|
||||
m1 = Fq6Config::mul_fp2_by_nonresidue(&m1);
|
||||
assert_eq!(QuadraticNonResidue, m1.legendre());
|
||||
}
|
||||
|
||||
@@ -1750,7 +1749,7 @@ fn test_fq2_mul_nonresidue() {
|
||||
for _ in 0..1000 {
|
||||
let mut a = Fq2::rand(&mut rng);
|
||||
let mut b = a;
|
||||
a = Fq6Parameters::mul_fp2_by_nonresidue(&a);
|
||||
a = Fq6Config::mul_fp2_by_nonresidue(&a);
|
||||
b.mul_assign(&nqr);
|
||||
|
||||
assert_eq!(a, b);
|
||||
@@ -1766,7 +1765,7 @@ fn test_fq6_mul_nonresidue() {
|
||||
for _ in 0..1000 {
|
||||
let mut a = Fq6::rand(&mut rng);
|
||||
let mut b = a;
|
||||
a = Fq12Parameters::mul_fp6_by_nonresidue(&a);
|
||||
a = Fq12Config::mul_fp6_by_nonresidue(&a);
|
||||
b.mul_assign(&nqr);
|
||||
|
||||
assert_eq!(a, b);
|
||||
|
||||
Reference in New Issue
Block a user