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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
cp6_782/scripts/base_field.sage Normal file
View File

@@ -0,0 +1,28 @@
modulus = 22369874298875696930346742206501054934775599465297184582183496627646774052458024540232479018147881220178054575403841904557897715222633333372134756426301062487682326574958588001132586331462553235407484089304633076250782629492557320825577
assert(modulus.is_prime())
Fp = GF(modulus)
generator = Fp(0);
for i in range(0, 20):
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
cp6_782/scripts/scalar_field.sage Normal file
View File

@@ -0,0 +1,28 @@
modulus = 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177
assert(modulus.is_prime())
Fp = GF(modulus)
generator = Fp(0);
for i in range(0, 20):
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)

17
cp6_782/src/curves/g1.rs
View File

@@ -2,7 +2,7 @@ use ark_ec::{
models::{ModelParameters, SWModelParameters},
short_weierstrass_jacobian::{GroupAffine, GroupProjective},
};
use ark_ff::field_new;
use ark_ff::MontFp;
use crate::{Fq, Fr};
@@ -31,18 +31,15 @@ impl ModelParameters for Parameters {
/// COFACTOR^(-1) mod r =
/// 163276846538158998893990986356139314746223949404500031940624325017036397274793417940375498603127780919653358641788
#[rustfmt::skip]
const COFACTOR_INV: Fr = field_new!(Fr, "163276846538158998893990986356139314746223949404500031940624325017036397274793417940375498603127780919653358641788");
const COFACTOR_INV: Fr = MontFp!(Fr, "163276846538158998893990986356139314746223949404500031940624325017036397274793417940375498603127780919653358641788");
}
impl SWModelParameters for Parameters {
/// COEFF_A = 5
#[rustfmt::skip]
const COEFF_A: Fq = field_new!(Fq, "5");
const COEFF_A: Fq = MontFp!(Fq, "5");
/// COEFF_B = 17764315118651679038286329069295091506801468118146712649886336045535808055361274148466772191243305528312843236347777260247138934336850548243151534538734724191505953341403463040067571652261229308333392040104884438208594329793895206056414
#[rustfmt::skip]
const COEFF_B: Fq = field_new!(Fq, "17764315118651679038286329069295091506801468118146712649886336045535808055361274148466772191243305528312843236347777260247138934336850548243151534538734724191505953341403463040067571652261229308333392040104884438208594329793895206056414");
const COEFF_B: Fq = MontFp!(Fq, "17764315118651679038286329069295091506801468118146712649886336045535808055361274148466772191243305528312843236347777260247138934336850548243151534538734724191505953341403463040067571652261229308333392040104884438208594329793895206056414");
/// AFFINE_GENERATOR_COEFFS = (G1_GENERATOR_X, G1_GENERATOR_Y)
const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
@@ -51,10 +48,8 @@ impl SWModelParameters for Parameters {
/// G1_GENERATOR_X =
/// 5511163824921585887915590525772884263960974614921003940645351443740084257508990841338974915037175497689287870585840954231884082785026301437744745393958283053278991955159266640440849940136976927372133743626748847559939620888818486853646
#[rustfmt::skip]
pub const G1_GENERATOR_X: Fq = field_new!(Fq, "5511163824921585887915590525772884263960974614921003940645351443740084257508990841338974915037175497689287870585840954231884082785026301437744745393958283053278991955159266640440849940136976927372133743626748847559939620888818486853646");
pub const G1_GENERATOR_X: Fq = MontFp!(Fq, "5511163824921585887915590525772884263960974614921003940645351443740084257508990841338974915037175497689287870585840954231884082785026301437744745393958283053278991955159266640440849940136976927372133743626748847559939620888818486853646");
/// G1_GENERATOR_Y =
/// 7913123550914612057135582061699117755797758113868200992327595317370485234417808273674357776714522052694559358668442301647906991623400754234679697332299689255516547752391831738454121261248793568285885897998257357202903170202349380518443
#[rustfmt::skip]
pub const G1_GENERATOR_Y: Fq = field_new!(Fq, "7913123550914612057135582061699117755797758113868200992327595317370485234417808273674357776714522052694559358668442301647906991623400754234679697332299689255516547752391831738454121261248793568285885897998257357202903170202349380518443");
pub const G1_GENERATOR_Y: Fq = MontFp!(Fq, "7913123550914612057135582061699117755797758113868200992327595317370485234417808273674357776714522052694559358668442301647906991623400754234679697332299689255516547752391831738454121261248793568285885897998257357202903170202349380518443");

41
cp6_782/src/curves/g2.rs
View File

@@ -2,7 +2,7 @@ use ark_ec::{
models::{ModelParameters, SWModelParameters},
short_weierstrass_jacobian::{GroupAffine, GroupProjective},
};
use ark_ff::field_new;
use ark_ff::{CubicExt, MontFp};
use crate::{Fq, Fq3, Fr, FQ_ZERO};
@@ -55,25 +55,18 @@ impl ModelParameters for Parameters {
/// COFACTOR^(-1) mod r =
/// 45586359457219724873147353901735745013467692594291916855200979604570630929674383405372210802279573887880950375598
#[rustfmt::skip]
const COFACTOR_INV: Fr = field_new!(Fr, "45586359457219724873147353901735745013467692594291916855200979604570630929674383405372210802279573887880950375598");
const COFACTOR_INV: Fr = MontFp!(Fr, "45586359457219724873147353901735745013467692594291916855200979604570630929674383405372210802279573887880950375598");
}
impl SWModelParameters for Parameters {
/// COEFF_A = (0, 0, COEFF_A * TWIST^2) = (0, 0, 5)
#[rustfmt::skip]
const COEFF_A: Fq3 = field_new!(Fq3,
FQ_ZERO,
FQ_ZERO,
field_new!(Fq, "5"),
);
const COEFF_A: Fq3 = CubicExt!(FQ_ZERO, FQ_ZERO, MontFp!(Fq, "5"),);
/// COEFF_B = (G1::COEFF_B * TWIST^3, 0, 0) =
/// (7237353553714858194254855835825640240663090882935418626687402315497764195116318527743248304684159666286416318482685337633828994152723793439622384740540789612754127688659139509552568164770448654259255628317166934203899992395064470477612,
/// 0, 0)
#[rustfmt::skip]
const COEFF_B: Fq3 = field_new!(Fq3,
field_new!(Fq, "7237353553714858194254855835825640240663090882935418626687402315497764195116318527743248304684159666286416318482685337633828994152723793439622384740540789612754127688659139509552568164770448654259255628317166934203899992395064470477612"),
const COEFF_B: Fq3 = CubicExt!(
MontFp!(Fq, "7237353553714858194254855835825640240663090882935418626687402315497764195116318527743248304684159666286416318482685337633828994152723793439622384740540789612754127688659139509552568164770448654259255628317166934203899992395064470477612"),
FQ_ZERO,
FQ_ZERO,
);
@@ -83,37 +76,29 @@ impl SWModelParameters for Parameters {
(G2_GENERATOR_X, G2_GENERATOR_Y);
}
const G2_GENERATOR_X: Fq3 =
field_new!(Fq3, G2_GENERATOR_X_C0, G2_GENERATOR_X_C1, G2_GENERATOR_X_C2);
const G2_GENERATOR_Y: Fq3 =
field_new!(Fq3, G2_GENERATOR_Y_C0, G2_GENERATOR_Y_C1, G2_GENERATOR_Y_C2);
const G2_GENERATOR_X: Fq3 = CubicExt!(G2_GENERATOR_X_C0, G2_GENERATOR_X_C1, G2_GENERATOR_X_C2);
const G2_GENERATOR_Y: Fq3 = CubicExt!(G2_GENERATOR_Y_C0, G2_GENERATOR_Y_C1, G2_GENERATOR_Y_C2);
/// G2_GENERATOR_X_C0 =
/// 13426761183630949215425595811885033211332897733228446437546263564078445562454176776915160094418980045665397361295624472103734543457352048745726512354895954850428989867542989474136256025045975283415690491751906307188562464175510373683338
#[rustfmt::skip]
pub const G2_GENERATOR_X_C0: Fq = field_new!(Fq, "13426761183630949215425595811885033211332897733228446437546263564078445562454176776915160094418980045665397361295624472103734543457352048745726512354895954850428989867542989474136256025045975283415690491751906307188562464175510373683338");
pub const G2_GENERATOR_X_C0: Fq = MontFp!(Fq, "13426761183630949215425595811885033211332897733228446437546263564078445562454176776915160094418980045665397361295624472103734543457352048745726512354895954850428989867542989474136256025045975283415690491751906307188562464175510373683338");
/// G2_GENERATOR_X_C1 =
/// 20471601555918880743198170952645906008198510944268658573129351735028343217532386920456705632337352161031960990613816401042894531220068552819818037605513359562118363589199569321421558696125646867661360498323171027455638052943806292028610
#[rustfmt::skip]
pub const G2_GENERATOR_X_C1: Fq = field_new!(Fq, "20471601555918880743198170952645906008198510944268658573129351735028343217532386920456705632337352161031960990613816401042894531220068552819818037605513359562118363589199569321421558696125646867661360498323171027455638052943806292028610");
pub const G2_GENERATOR_X_C1: Fq = MontFp!(Fq, "20471601555918880743198170952645906008198510944268658573129351735028343217532386920456705632337352161031960990613816401042894531220068552819818037605513359562118363589199569321421558696125646867661360498323171027455638052943806292028610");
/// G2_GENERATOR_X_C2 =
/// 3905053196875761830053608605277158152930144841844497593936739534395003062685449846381431331169369910535935138116320442345524758217411779027270883193856999691582831339845600938304719916501940381093815781408183227875600753651697934495980
#[rustfmt::skip]
pub const G2_GENERATOR_X_C2: Fq = field_new!(Fq, "3905053196875761830053608605277158152930144841844497593936739534395003062685449846381431331169369910535935138116320442345524758217411779027270883193856999691582831339845600938304719916501940381093815781408183227875600753651697934495980");
pub const G2_GENERATOR_X_C2: Fq = MontFp!(Fq, "3905053196875761830053608605277158152930144841844497593936739534395003062685449846381431331169369910535935138116320442345524758217411779027270883193856999691582831339845600938304719916501940381093815781408183227875600753651697934495980");
/// G2_GENERATOR_Y_C0 =
/// 8567517639523571619872938228644013584947463594196306323477160496987712111576624702939472765993995586889532559039169098780892505598589581147768095093536988446010255611523736706017580686335404469207486594272103717837888228343074699140243
#[rustfmt::skip]
pub const G2_GENERATOR_Y_C0: Fq = field_new!(Fq, "8567517639523571619872938228644013584947463594196306323477160496987712111576624702939472765993995586889532559039169098780892505598589581147768095093536988446010255611523736706017580686335404469207486594272103717837888228343074699140243");
pub const G2_GENERATOR_Y_C0: Fq = MontFp!(Fq, "8567517639523571619872938228644013584947463594196306323477160496987712111576624702939472765993995586889532559039169098780892505598589581147768095093536988446010255611523736706017580686335404469207486594272103717837888228343074699140243");
/// G2_GENERATOR_Y_C1 =
/// 3890537069205870914984502594450293167889863914413852788876350245583932846980126025043974070704295857226211547108005650399870458089721518559480870503159804530091559886149680718531004778697982910253701559194337987238111062202037698927752
#[rustfmt::skip]
pub const G2_GENERATOR_Y_C1: Fq = field_new!(Fq, "3890537069205870914984502594450293167889863914413852788876350245583932846980126025043974070704295857226211547108005650399870458089721518559480870503159804530091559886149680718531004778697982910253701559194337987238111062202037698927752");
pub const G2_GENERATOR_Y_C1: Fq = MontFp!(Fq, "3890537069205870914984502594450293167889863914413852788876350245583932846980126025043974070704295857226211547108005650399870458089721518559480870503159804530091559886149680718531004778697982910253701559194337987238111062202037698927752");
/// G2_GENERATOR_Y_C2 =
/// 10936269922612615564271188303104593362724754284143779051599749016735041389483971486958818324356025479751246744831831158558101688599198721653921723013062333636402617118847009085485166284126970598561393411916461254016145116183331671450721
#[rustfmt::skip]
pub const G2_GENERATOR_Y_C2: Fq = field_new!(Fq, "10936269922612615564271188303104593362724754284143779051599749016735041389483971486958818324356025479751246744831831158558101688599198721653921723013062333636402617118847009085485166284126970598561393411916461254016145116183331671450721");
pub const G2_GENERATOR_Y_C2: Fq = MontFp!(Fq, "10936269922612615564271188303104593362724754284143779051599749016735041389483971486958818324356025479751246744831831158558101688599198721653921723013062333636402617118847009085485166284126970598561393411916461254016145116183331671450721");

5
cp6_782/src/curves/mod.rs
View File

@@ -1,9 +1,8 @@
use ark_ec::{models::SWModelParameters, PairingEngine};
use ark_ff::{
biginteger::BigInteger832,
field_new,
fields::{BitIteratorBE, Field},
BigInt, One,
BigInt, CubicExt, One,
};
use crate::{Fq, Fq3, Fq6, Fr, FQ_ONE, FQ_ZERO};
@@ -154,7 +153,7 @@ impl CP6_782 {
}
/// TWIST = (0, 1, 0)
pub const TWIST: Fq3 = field_new!(Fq3, FQ_ZERO, FQ_ONE, FQ_ZERO);
pub const TWIST: Fq3 = CubicExt!(FQ_ZERO, FQ_ONE, FQ_ZERO);
/// ATE_IS_LOOP_COUNT_NEG = false
pub const ATE_IS_LOOP_COUNT_NEG: bool = false;

12
cp6_782/src/curves/tests.rs
View File

@@ -1,15 +1,13 @@
use ark_ec::{AffineCurve, PairingEngine};
use ark_ff::{Field, One, PrimeField};
use ark_std::{rand::Rng, test_rng};
use crate::*;
use ark_algebra_test_templates::{
curves::*, generate_bilinearity_test, generate_g1_test, generate_g2_test, groups::*, msm::*,
};
use ark_ec::{AffineCurve, PairingEngine};
use ark_ff::{Field, One, PrimeField};
use ark_std::{rand::Rng, test_rng};
use core::ops::MulAssign;
use crate::*;
generate_g1_test!(cp6_782; curve_tests; sw_tests;);
generate_g2_test!(cp6_782; curve_tests; sw_tests;);
generate_bilinearity_test!(CP6_782, Fq6);

175
cp6_782/src/fields/fq.rs
View File

@@ -1,169 +1,10 @@
use ark_ff::{
biginteger::{BigInt, BigInteger832 as BigInteger},
fields::{FftParameters, Fp832, Fp832Parameters, FpParameters},
};
use ark_ff::fields::{Fp832, MontBackend, MontConfig, MontFp};
pub type Fq = Fp832<FqParameters>;
#[derive(MontConfig)]
#[modulus = "22369874298875696930346742206501054934775599465297184582183496627646774052458024540232479018147881220178054575403841904557897715222633333372134756426301062487682326574958588001132586331462553235407484089304633076250782629492557320825577"]
#[generator = "13"]
pub struct FqConfig;
pub type Fq = Fp832<MontBackend<FqConfig, 13>>;
pub struct FqParameters;
pub const FQ_ONE: Fq = ark_ff::field_new!(Fq, "1");
pub const FQ_ZERO: Fq = ark_ff::field_new!(Fq, "0");
impl Fp832Parameters for FqParameters {}
impl FftParameters for FqParameters {
type BigInt = BigInteger;
const TWO_ADICITY: u32 = 3;
#[rustfmt::skip]
const TWO_ADIC_ROOT_OF_UNITY: BigInteger = BigInt::new([
18044746167194862600u64,
63590321303744709u64,
5009346151370959890u64,
2859114157767503991u64,
8301813204852325413u64,
5629414263664332594u64,
2637340888701394641u64,
17433538052687852753u64,
2230763098934759248u64,
3785382115983092023u64,
8895511354022222370u64,
15792083141709071785u64,
1328u64,
]);
}
impl FpParameters for FqParameters {
/// MODULUS = 22369874298875696930346742206501054934775599465297184582183496627646774052458024540232479018147881220178054575403841904557897715222633333372134756426301062487682326574958588001132586331462553235407484089304633076250782629492557320825577
#[rustfmt::skip]
const MODULUS: BigInteger = BigInt::new([
0xdace79b57b942ae9,
0x545d85c16dfd424a,
0xee135c065f4d26b7,
0x9c2f764a12c4024b,
0x1ad533049cfe6a39,
0x52a3fb77c79c1320,
0xab3596c8617c5792,
0x830c728d80f9d78b,
0x6a7223ee72023d07,
0xbc5d176b746af026,
0xe959283d8f526663,
0xc4d2263babf8941f,
0x3848,
]);
const MODULUS_BITS: u32 = 782;
const CAPACITY: u32 = Self::MODULUS_BITS - 1;
const REPR_SHAVE_BITS: u32 = 50;
#[rustfmt::skip]
const R: BigInteger = BigInt::new([
11190988450819017841u64,
16170411717126802030u64,
2265463223430229059u64,
16946880912571045974u64,
11155248462028513229u64,
12855672356664541314u64,
8489376931127408159u64,
2655797810825538098u64,
9648483887143916718u64,
17514963461276738952u64,
16777089214204267338u64,
15649035958020076168u64,
8659u64,
]);
#[rustfmt::skip]
const R2: BigInteger = BigInt::new([
13983406830510863714u64,
17863856572171232656u64,
1698388424046564526u64,
1773634430448388392u64,
8684647957094413275u64,
3992637317298078843u64,
18420879196616862245u64,
3238482510270583127u64,
7928200707794018216u64,
10024831010452223910u64,
9613847725664942650u64,
15361265984156787358u64,
7833u64,
]);
const INV: u64 = 14469047335842394791u64;
/// GENERATOR = 13
#[rustfmt::skip]
const GENERATOR: BigInteger = BigInt::new([
16669393626057438558u64,
1640520694378723217u64,
1598646156981121135u64,
12401834967100173388u64,
2356467520877704673u64,
14759118825104212161u64,
5556628239575210651u64,
5317520392768798654u64,
16398429955031064995u64,
3556102264904210145u64,
8166834915717907988u64,
11926665585800594452u64,
11716u64,
]);
#[rustfmt::skip]
const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInt::new([
0x6d673cdabdca1574,
0xaa2ec2e0b6fea125,
0xf709ae032fa6935b,
0xce17bb2509620125,
0xd6a99824e7f351c,
0x2951fdbbe3ce0990,
0xd59acb6430be2bc9,
0xc1863946c07cebc5,
0x353911f739011e83,
0xde2e8bb5ba357813,
0xf4ac941ec7a93331,
0x6269131dd5fc4a0f,
0x1c24,
]);
// (T - 1)/2 =
// 1398117143679731058146671387906315933423474966581074036386468539227923378278626533764529938634242576261128410962740119034868607201414583335758422276643816405480145410934911750070786645716409577212967755581539567265673914343284832551598
#[rustfmt::skip]
const T_MINUS_ONE_DIV_TWO: BigInteger = BigInt::new([
0xadace79b57b942ae,
0x7545d85c16dfd424,
0xbee135c065f4d26b,
0x99c2f764a12c4024,
0x1ad533049cfe6a3,
0x252a3fb77c79c132,
0xbab3596c8617c579,
0x7830c728d80f9d78,
0x66a7223ee72023d0,
0x3bc5d176b746af02,
0xfe959283d8f52666,
0x8c4d2263babf8941,
0x384,
]);
// T =
// 2796234287359462116293342775812631866846949933162148072772937078455846756557253067529059877268485152522256821925480238069737214402829166671516844553287632810960290821869823500141573291432819154425935511163079134531347828686569665103197
#[rustfmt::skip]
const T: BigInteger = BigInt::new([
0x5b59cf36af72855d,
0xea8bb0b82dbfa849,
0x7dc26b80cbe9a4d6,
0x3385eec942588049,
0x35aa660939fcd47,
0x4a547f6ef8f38264,
0x7566b2d90c2f8af2,
0xf0618e51b01f3af1,
0xcd4e447dce4047a0,
0x778ba2ed6e8d5e04,
0xfd2b2507b1ea4ccc,
0x189a44c7757f1283,
0x709,
]);
}
pub const FQ_ONE: Fq = MontFp!(Fq, "1");
pub const FQ_ZERO: Fq = MontFp!(Fq, "0");

38
cp6_782/src/fields/fq3.rs
View File

@@ -1,25 +1,24 @@
use crate::{fields::FQ_ZERO, Fq};
use ark_ff::{
field_new,
fields::fp3::{Fp3, Fp3Parameters},
Field,
fields::fp3::{Fp3, Fp3Config},
CubicExt, Field, MontFp,
};
pub type Fq3 = Fp3<Fq3Parameters>;
use crate::{fields::FQ_ZERO, Fq};
pub struct Fq3Parameters;
pub type Fq3 = Fp3<Fq3Config>;
impl Fp3Parameters for Fq3Parameters {
pub struct Fq3Config;
impl Fp3Config for Fq3Config {
type Fp = Fq;
/// NONRESIDUE = 13
#[rustfmt::skip]
const NONRESIDUE: Fq = field_new!(Fq, "13");
const NONRESIDUE: Fq = MontFp!(Fq, "13");
const TWO_ADICITY: u32 = 3;
#[rustfmt::skip]
const T_MINUS_ONE_DIV_TWO: &'static [u64] = &[
const TRACE_MINUS_ONE_DIV_TWO: &'static [u64] = &[
0x62730e2cd2029617,
0x660647f735cb88cf,
0x274359d60784f69d,
@@ -59,25 +58,22 @@ impl Fp3Parameters for Fq3Parameters {
0x2b87fda171,
];
#[rustfmt::skip]
const QUADRATIC_NONRESIDUE_TO_T: (Fq, Fq, Fq) = (
field_new!(Fq, "5759691735434357221228070840130186543101559976323700017469395641639510585333061695996665166662748527158637897523704071820491869715512532675375604262649010727161924084052120196921150869218319839231115277876207074651754402338718419191428"),
const QUADRATIC_NONRESIDUE_TO_T: Fq3 = CubicExt!(
MontFp!(Fq, "5759691735434357221228070840130186543101559976323700017469395641639510585333061695996665166662748527158637897523704071820491869715512532675375604262649010727161924084052120196921150869218319839231115277876207074651754402338718419191428"),
FQ_ZERO,
FQ_ZERO,
);
#[rustfmt::skip]
const FROBENIUS_COEFF_FP3_C1: &'static [Fq] = &[
field_new!(Fq, "1"),
field_new!(Fq, "2416169158604010336818399199316106389588878314690767988978701685873498866746813334102117883272276610365242925950967572554030909749205624998805208910209389668659757274773858916683688639755413288353778854399286396639505385648830027756861"),
field_new!(Fq, "19953705140271686593528343007184948545186721150606416593204794941773275185711211206130361134875604609812811649452874332003866805473427708373329547516091672819022569300184729084448897691707139947053705234905346679611277243843727293068715"),
MontFp!(Fq, "1"),
MontFp!(Fq, "2416169158604010336818399199316106389588878314690767988978701685873498866746813334102117883272276610365242925950967572554030909749205624998805208910209389668659757274773858916683688639755413288353778854399286396639505385648830027756861"),
MontFp!(Fq, "19953705140271686593528343007184948545186721150606416593204794941773275185711211206130361134875604609812811649452874332003866805473427708373329547516091672819022569300184729084448897691707139947053705234905346679611277243843727293068715"),
];
#[rustfmt::skip]
const FROBENIUS_COEFF_FP3_C2: &'static [Fq] = &[
field_new!(Fq, "1"),
field_new!(Fq, "19953705140271686593528343007184948545186721150606416593204794941773275185711211206130361134875604609812811649452874332003866805473427708373329547516091672819022569300184729084448897691707139947053705234905346679611277243843727293068715"),
field_new!(Fq, "2416169158604010336818399199316106389588878314690767988978701685873498866746813334102117883272276610365242925950967572554030909749205624998805208910209389668659757274773858916683688639755413288353778854399286396639505385648830027756861"),
MontFp!(Fq, "1"),
MontFp!(Fq, "19953705140271686593528343007184948545186721150606416593204794941773275185711211206130361134875604609812811649452874332003866805473427708373329547516091672819022569300184729084448897691707139947053705234905346679611277243843727293068715"),
MontFp!(Fq, "2416169158604010336818399199316106389588878314690767988978701685873498866746813334102117883272276610365242925950967572554030909749205624998805208910209389668659757274773858916683688639755413288353778854399286396639505385648830027756861"),
];
#[inline(always)]

31
cp6_782/src/fields/fq6.rs
View File

@@ -1,27 +1,26 @@
use crate::{Fq, Fq3, Fq3Parameters, FQ_ONE, FQ_ZERO};
use ark_ff::{
field_new,
fields::fp6_2over3::{Fp6, Fp6Parameters},
fields::fp6_2over3::{Fp6, Fp6Config},
CubicExt, MontFp,
};
pub type Fq6 = Fp6<Fq6Parameters>;
use crate::{Fq, Fq3, Fq3Config, FQ_ONE, FQ_ZERO};
pub struct Fq6Parameters;
pub type Fq6 = Fp6<Fq6Config>;
impl Fp6Parameters for Fq6Parameters {
type Fp3Params = Fq3Parameters;
pub struct Fq6Config;
impl Fp6Config for Fq6Config {
type Fp3Config = Fq3Config;
/// NONRESIDUE = (0, 1, 0).
#[rustfmt::skip]
const NONRESIDUE: Fq3 = field_new!(Fq3, FQ_ZERO, FQ_ONE, FQ_ZERO);
const NONRESIDUE: Fq3 = CubicExt!(FQ_ZERO, FQ_ONE, FQ_ZERO);
#[rustfmt::skip]
const FROBENIUS_COEFF_FP6_C1: &'static [Fq] = &[
field_new!(Fq, "1"),
field_new!(Fq, "2416169158604010336818399199316106389588878314690767988978701685873498866746813334102117883272276610365242925950967572554030909749205624998805208910209389668659757274773858916683688639755413288353778854399286396639505385648830027756862"),
field_new!(Fq, "2416169158604010336818399199316106389588878314690767988978701685873498866746813334102117883272276610365242925950967572554030909749205624998805208910209389668659757274773858916683688639755413288353778854399286396639505385648830027756861"),
field_new!(Fq, "22369874298875696930346742206501054934775599465297184582183496627646774052458024540232479018147881220178054575403841904557897715222633333372134756426301062487682326574958588001132586331462553235407484089304633076250782629492557320825576"),
field_new!(Fq, "19953705140271686593528343007184948545186721150606416593204794941773275185711211206130361134875604609812811649452874332003866805473427708373329547516091672819022569300184729084448897691707139947053705234905346679611277243843727293068715"),
field_new!(Fq, "19953705140271686593528343007184948545186721150606416593204794941773275185711211206130361134875604609812811649452874332003866805473427708373329547516091672819022569300184729084448897691707139947053705234905346679611277243843727293068716"),
MontFp!(Fq, "1"),
MontFp!(Fq, "2416169158604010336818399199316106389588878314690767988978701685873498866746813334102117883272276610365242925950967572554030909749205624998805208910209389668659757274773858916683688639755413288353778854399286396639505385648830027756862"),
MontFp!(Fq, "2416169158604010336818399199316106389588878314690767988978701685873498866746813334102117883272276610365242925950967572554030909749205624998805208910209389668659757274773858916683688639755413288353778854399286396639505385648830027756861"),
MontFp!(Fq, "22369874298875696930346742206501054934775599465297184582183496627646774052458024540232479018147881220178054575403841904557897715222633333372134756426301062487682326574958588001132586331462553235407484089304633076250782629492557320825576"),
MontFp!(Fq, "19953705140271686593528343007184948545186721150606416593204794941773275185711211206130361134875604609812811649452874332003866805473427708373329547516091672819022569300184729084448897691707139947053705234905346679611277243843727293068715"),
MontFp!(Fq, "19953705140271686593528343007184948545186721150606416593204794941773275185711211206130361134875604609812811649452874332003866805473427708373329547516091672819022569300184729084448897691707139947053705234905346679611277243843727293068716"),
];
}

2
cp6_782/src/fields/fr.rs
View File

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

2
cp6_782/src/fields/mod.rs
View File

@@ -10,5 +10,5 @@ pub use self::fq3::*;
pub mod fq6;
pub use self::fq6::*;
#[cfg(all(feature = "cp6_782", test))]
#[cfg(test)]
mod tests;

14
cp6_782/src/fields/tests.rs
View File

@@ -1,14 +1,12 @@
use ark_ff::{Field, One, PrimeField, SquareRootField, UniformRand, Zero};
use ark_serialize::{buffer_bit_byte_size, CanonicalSerialize};
use ark_std::{rand::Rng, test_rng};
use crate::*;
use ark_algebra_test_templates::{
fields::*, generate_field_serialization_test, generate_field_test,
};
use ark_ff::{Field, One, PrimeField, SquareRootField, UniformRand, Zero};
use ark_serialize::{buffer_bit_byte_size, CanonicalSerialize};
use ark_std::{rand::Rng, test_rng};
use core::ops::{AddAssign, MulAssign, SubAssign};
generate_field_test!(cp6_782; fq3; fq6;);
use crate::*;
generate_field_test!(cp6_782; fq3; fq6; mont(13, 6); );
generate_field_serialization_test!(cp6_782;);

5
cp6_782/src/lib.rs Normal file → Executable file
View File

@@ -9,8 +9,9 @@
#![forbid(unsafe_code)]
//! This library implements the CP6_782 curve generated in [\[BCGMMW20, “Zexe”\]](https://eprint.iacr.org/2018/962).
//! The name denotes that it was generated using the Cocks--Pinch method for the embedding degree 6.
//! The main feature of this curve is that the scalar field equals the base field of the BLS12_377 curve.
//! The name denotes that it was generated using the Cocks--Pinch method for the
//! embedding degree 6. The main feature of this curve is that the scalar field
//! equals the base field of the BLS12_377 curve.
//!
//! Curve information:
//! * Base field: q = 22369874298875696930346742206501054934775599465297184582183496627646774052458024540232479018147881220178054575403841904557897715222633333372134756426301062487682326574958588001132586331462553235407484089304633076250782629492557320825577