mirror of
https://github.com/arnaucube/ark-curves-cherry-picked.git
synced 2026-01-28 22:46:45 +01:00
Initial commit
This commit is contained in:
Pratyush Mishra
112
bls12_381/src/fields/fq.rs
Normal file
112
bls12_381/src/fields/fq.rs
Normal file
@@ -0,0 +1,112 @@
|
||||
use ark_ff::{
|
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biginteger::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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pub type Fq = Fp384<FqParameters>;
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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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||||
|
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const TWO_ADICITY: u32 = 1;
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|
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#[rustfmt::skip]
|
||||
const TWO_ADIC_ROOT_OF_UNITY: BigInteger = BigInteger([
|
||||
0x43f5fffffffcaaae,
|
||||
0x32b7fff2ed47fffd,
|
||||
0x7e83a49a2e99d69,
|
||||
0xeca8f3318332bb7a,
|
||||
0xef148d1ea0f4c069,
|
||||
0x40ab3263eff0206,
|
||||
]);
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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 = BigInteger([
|
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0xb9feffffffffaaab,
|
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0x1eabfffeb153ffff,
|
||||
0x6730d2a0f6b0f624,
|
||||
0x64774b84f38512bf,
|
||||
0x4b1ba7b6434bacd7,
|
||||
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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||||
|
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#[rustfmt::skip]
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const R: BigInteger = BigInteger([
|
||||
0x760900000002fffd,
|
||||
0xebf4000bc40c0002,
|
||||
0x5f48985753c758ba,
|
||||
0x77ce585370525745,
|
||||
0x5c071a97a256ec6d,
|
||||
0x15f65ec3fa80e493,
|
||||
]);
|
||||
|
||||
#[rustfmt::skip]
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const R2: BigInteger = BigInteger([
|
||||
0xf4df1f341c341746,
|
||||
0xa76e6a609d104f1,
|
||||
0x8de5476c4c95b6d5,
|
||||
0x67eb88a9939d83c0,
|
||||
0x9a793e85b519952d,
|
||||
0x11988fe592cae3aa,
|
||||
]);
|
||||
|
||||
const INV: u64 = 0x89f3fffcfffcfffd;
|
||||
|
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// GENERATOR = 2
|
||||
#[rustfmt::skip]
|
||||
const GENERATOR: BigInteger = BigInteger([
|
||||
0x321300000006554f,
|
||||
0xb93c0018d6c40005,
|
||||
0x57605e0db0ddbb51,
|
||||
0x8b256521ed1f9bcb,
|
||||
0x6cf28d7901622c03,
|
||||
0x11ebab9dbb81e28c,
|
||||
]);
|
||||
|
||||
#[rustfmt::skip]
|
||||
const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
|
||||
0xdcff7fffffffd555,
|
||||
0xf55ffff58a9ffff,
|
||||
0xb39869507b587b12,
|
||||
0xb23ba5c279c2895f,
|
||||
0x258dd3db21a5d66b,
|
||||
0xd0088f51cbff34d,
|
||||
]);
|
||||
|
||||
// T and T_MINUS_ONE_DIV_TWO, where MODULUS - 1 = 2^S * T
|
||||
|
||||
#[rustfmt::skip]
|
||||
const T: BigInteger = BigInteger([
|
||||
0xdcff7fffffffd555,
|
||||
0xf55ffff58a9ffff,
|
||||
0xb39869507b587b12,
|
||||
0xb23ba5c279c2895f,
|
||||
0x258dd3db21a5d66b,
|
||||
0xd0088f51cbff34d,
|
||||
]);
|
||||
|
||||
#[rustfmt::skip]
|
||||
const T_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
|
||||
0xee7fbfffffffeaaa,
|
||||
0x7aaffffac54ffff,
|
||||
0xd9cc34a83dac3d89,
|
||||
0xd91dd2e13ce144af,
|
||||
0x92c6e9ed90d2eb35,
|
||||
0x680447a8e5ff9a6,
|
||||
]);
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||||
}
|
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|
||||
pub const FQ_ONE: Fq = field_new!(Fq, FqParameters::R);
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pub const FQ_ZERO: Fq = field_new!(Fq, BigInteger([0, 0, 0, 0, 0, 0]));
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193
bls12_381/src/fields/fq12.rs
Normal file
193
bls12_381/src/fields/fq12.rs
Normal file
@@ -0,0 +1,193 @@
|
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use crate::*;
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use ark_ff::{biginteger::BigInteger384, field_new, fields::*};
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pub type Fq12 = Fp12<Fq12Parameters>;
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|
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#[derive(Clone, Copy)]
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pub struct Fq12Parameters;
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impl Fp12Parameters for Fq12Parameters {
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type Fp6Params = Fq6Parameters;
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const NONRESIDUE: Fq6 = field_new!(Fq6, FQ2_ZERO, FQ2_ONE, FQ2_ZERO);
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|
||||
#[rustfmt::skip]
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||||
const FROBENIUS_COEFF_FP12_C1: &'static [Fq2] = &[
|
||||
// Fq2(u + 1)**(((q^0) - 1) / 6)
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FQ2_ONE,
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// Fq2(u + 1)**(((q^1) - 1) / 6)
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field_new!(Fq2,
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field_new!(Fq, BigInteger384([
|
||||
0x7089552b319d465,
|
||||
0xc6695f92b50a8313,
|
||||
0x97e83cccd117228f,
|
||||
0xa35baecab2dc29ee,
|
||||
0x1ce393ea5daace4d,
|
||||
0x8f2220fb0fb66eb,
|
||||
])),
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||||
field_new!(Fq, BigInteger384([
|
||||
0xb2f66aad4ce5d646,
|
||||
0x5842a06bfc497cec,
|
||||
0xcf4895d42599d394,
|
||||
0xc11b9cba40a8e8d0,
|
||||
0x2e3813cbe5a0de89,
|
||||
0x110eefda88847faf,
|
||||
])),
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||||
),
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// Fq2(u + 1)**(((q^2) - 1) / 6)
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||||
field_new!(Fq2,
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||||
field_new!(Fq, BigInteger384([
|
||||
0xecfb361b798dba3a,
|
||||
0xc100ddb891865a2c,
|
||||
0xec08ff1232bda8e,
|
||||
0xd5c13cc6f1ca4721,
|
||||
0x47222a47bf7b5c04,
|
||||
0x110f184e51c5f59,
|
||||
])),
|
||||
FQ_ZERO,
|
||||
),
|
||||
// Fq2(u + 1)**(((q^3) - 1) / 6)
|
||||
field_new!(Fq2,
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||||
field_new!(Fq, BigInteger384([
|
||||
0x3e2f585da55c9ad1,
|
||||
0x4294213d86c18183,
|
||||
0x382844c88b623732,
|
||||
0x92ad2afd19103e18,
|
||||
0x1d794e4fac7cf0b9,
|
||||
0xbd592fc7d825ec8,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x7bcfa7a25aa30fda,
|
||||
0xdc17dec12a927e7c,
|
||||
0x2f088dd86b4ebef1,
|
||||
0xd1ca2087da74d4a7,
|
||||
0x2da2596696cebc1d,
|
||||
0xe2b7eedbbfd87d2,
|
||||
])),
|
||||
),
|
||||
// Fq2(u + 1)**(((q^4) - 1) / 6)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x30f1361b798a64e8,
|
||||
0xf3b8ddab7ece5a2a,
|
||||
0x16a8ca3ac61577f7,
|
||||
0xc26a2ff874fd029b,
|
||||
0x3636b76660701c6e,
|
||||
0x51ba4ab241b6160,
|
||||
])),
|
||||
FQ_ZERO,
|
||||
),
|
||||
// Fq2(u + 1)**(((q^5) - 1) / 6)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x3726c30af242c66c,
|
||||
0x7c2ac1aad1b6fe70,
|
||||
0xa04007fbba4b14a2,
|
||||
0xef517c3266341429,
|
||||
0x95ba654ed2226b,
|
||||
0x2e370eccc86f7dd,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x82d83cf50dbce43f,
|
||||
0xa2813e53df9d018f,
|
||||
0xc6f0caa53c65e181,
|
||||
0x7525cf528d50fe95,
|
||||
0x4a85ed50f4798a6b,
|
||||
0x171da0fd6cf8eebd,
|
||||
])),
|
||||
),
|
||||
// Fq2(u + 1)**(((q^6) - 1) / 6)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x43f5fffffffcaaae,
|
||||
0x32b7fff2ed47fffd,
|
||||
0x7e83a49a2e99d69,
|
||||
0xeca8f3318332bb7a,
|
||||
0xef148d1ea0f4c069,
|
||||
0x40ab3263eff0206,
|
||||
])),
|
||||
FQ_ZERO,
|
||||
),
|
||||
// Fq2(u + 1)**(((q^7) - 1) / 6)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0xb2f66aad4ce5d646,
|
||||
0x5842a06bfc497cec,
|
||||
0xcf4895d42599d394,
|
||||
0xc11b9cba40a8e8d0,
|
||||
0x2e3813cbe5a0de89,
|
||||
0x110eefda88847faf,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x7089552b319d465,
|
||||
0xc6695f92b50a8313,
|
||||
0x97e83cccd117228f,
|
||||
0xa35baecab2dc29ee,
|
||||
0x1ce393ea5daace4d,
|
||||
0x8f2220fb0fb66eb,
|
||||
])),
|
||||
),
|
||||
// Fq2(u + 1)**(((q^8) - 1) / 6)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0xcd03c9e48671f071,
|
||||
0x5dab22461fcda5d2,
|
||||
0x587042afd3851b95,
|
||||
0x8eb60ebe01bacb9e,
|
||||
0x3f97d6e83d050d2,
|
||||
0x18f0206554638741,
|
||||
])),
|
||||
FQ_ZERO,
|
||||
),
|
||||
// Fq2(u + 1)**(((q^9) - 1) / 6)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x7bcfa7a25aa30fda,
|
||||
0xdc17dec12a927e7c,
|
||||
0x2f088dd86b4ebef1,
|
||||
0xd1ca2087da74d4a7,
|
||||
0x2da2596696cebc1d,
|
||||
0xe2b7eedbbfd87d2,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x3e2f585da55c9ad1,
|
||||
0x4294213d86c18183,
|
||||
0x382844c88b623732,
|
||||
0x92ad2afd19103e18,
|
||||
0x1d794e4fac7cf0b9,
|
||||
0xbd592fc7d825ec8,
|
||||
])),
|
||||
),
|
||||
// Fq2(u + 1)**(((q^10) - 1) / 6)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x890dc9e4867545c3,
|
||||
0x2af322533285a5d5,
|
||||
0x50880866309b7e2c,
|
||||
0xa20d1b8c7e881024,
|
||||
0x14e4f04fe2db9068,
|
||||
0x14e56d3f1564853a,
|
||||
])),
|
||||
FQ_ZERO,
|
||||
),
|
||||
// Fq2(u + 1)**(((q^11) - 1) / 6)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x82d83cf50dbce43f,
|
||||
0xa2813e53df9d018f,
|
||||
0xc6f0caa53c65e181,
|
||||
0x7525cf528d50fe95,
|
||||
0x4a85ed50f4798a6b,
|
||||
0x171da0fd6cf8eebd,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x3726c30af242c66c,
|
||||
0x7c2ac1aad1b6fe70,
|
||||
0xa04007fbba4b14a2,
|
||||
0xef517c3266341429,
|
||||
0x95ba654ed2226b,
|
||||
0x2e370eccc86f7dd,
|
||||
])),
|
||||
),
|
||||
];
|
||||
}
|
||||
73
bls12_381/src/fields/fq2.rs
Normal file
73
bls12_381/src/fields/fq2.rs
Normal file
@@ -0,0 +1,73 @@
|
||||
use crate::*;
|
||||
use ark_ff::{biginteger::BigInteger384 as BigInteger, field_new, fields::*};
|
||||
|
||||
pub type Fq2 = Fp2<Fq2Parameters>;
|
||||
|
||||
pub struct Fq2Parameters;
|
||||
|
||||
impl Fp2Parameters for Fq2Parameters {
|
||||
type Fp = Fq;
|
||||
|
||||
/// NONRESIDUE = -1
|
||||
#[rustfmt::skip]
|
||||
const NONRESIDUE: Fq = field_new!(Fq, BigInteger([
|
||||
0x43f5fffffffcaaae,
|
||||
0x32b7fff2ed47fffd,
|
||||
0x7e83a49a2e99d69,
|
||||
0xeca8f3318332bb7a,
|
||||
0xef148d1ea0f4c069,
|
||||
0x40ab3263eff0206,
|
||||
]));
|
||||
|
||||
/// QUADRATIC_NONRESIDUE = (U + 1)
|
||||
#[rustfmt::skip]
|
||||
const QUADRATIC_NONRESIDUE: (Fq, Fq) = (
|
||||
field_new!(Fq, BigInteger([
|
||||
0x760900000002fffd,
|
||||
0xebf4000bc40c0002,
|
||||
0x5f48985753c758ba,
|
||||
0x77ce585370525745,
|
||||
0x5c071a97a256ec6d,
|
||||
0x15f65ec3fa80e493,
|
||||
])),
|
||||
field_new!(Fq, BigInteger([
|
||||
0x760900000002fffd,
|
||||
0xebf4000bc40c0002,
|
||||
0x5f48985753c758ba,
|
||||
0x77ce585370525745,
|
||||
0x5c071a97a256ec6d,
|
||||
0x15f65ec3fa80e493,
|
||||
])),
|
||||
);
|
||||
|
||||
/// Coefficients for the Frobenius automorphism.
|
||||
#[rustfmt::skip]
|
||||
const FROBENIUS_COEFF_FP2_C1: &'static [Fq] = &[
|
||||
// Fq(-1)**(((q^0) - 1) / 2)
|
||||
field_new!(Fq, BigInteger([
|
||||
0x760900000002fffd,
|
||||
0xebf4000bc40c0002,
|
||||
0x5f48985753c758ba,
|
||||
0x77ce585370525745,
|
||||
0x5c071a97a256ec6d,
|
||||
0x15f65ec3fa80e493,
|
||||
])),
|
||||
// Fq(-1)**(((q^1) - 1) / 2)
|
||||
field_new!(Fq, BigInteger([
|
||||
0x43f5fffffffcaaae,
|
||||
0x32b7fff2ed47fffd,
|
||||
0x7e83a49a2e99d69,
|
||||
0xeca8f3318332bb7a,
|
||||
0xef148d1ea0f4c069,
|
||||
0x40ab3263eff0206,
|
||||
])),
|
||||
];
|
||||
|
||||
#[inline(always)]
|
||||
fn mul_fp_by_nonresidue(fp: &Self::Fp) -> Self::Fp {
|
||||
-(*fp)
|
||||
}
|
||||
}
|
||||
|
||||
pub const FQ2_ZERO: Fq2 = field_new!(Fq2, FQ_ZERO, FQ_ZERO);
|
||||
pub const FQ2_ONE: Fq2 = field_new!(Fq2, FQ_ONE, FQ_ZERO);
|
||||
194
bls12_381/src/fields/fq6.rs
Normal file
194
bls12_381/src/fields/fq6.rs
Normal file
@@ -0,0 +1,194 @@
|
||||
use crate::*;
|
||||
use ark_ff::{biginteger::BigInteger384, field_new, fields::*};
|
||||
|
||||
pub type Fq6 = Fp6<Fq6Parameters>;
|
||||
|
||||
#[derive(Clone, Copy)]
|
||||
pub struct Fq6Parameters;
|
||||
|
||||
impl Fp6Parameters for Fq6Parameters {
|
||||
type Fp2Params = Fq2Parameters;
|
||||
|
||||
/// NONRESIDUE = (U + 1)
|
||||
#[rustfmt::skip]
|
||||
const NONRESIDUE: Fq2 = field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x760900000002fffd,
|
||||
0xebf4000bc40c0002,
|
||||
0x5f48985753c758ba,
|
||||
0x77ce585370525745,
|
||||
0x5c071a97a256ec6d,
|
||||
0x15f65ec3fa80e493,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x760900000002fffd,
|
||||
0xebf4000bc40c0002,
|
||||
0x5f48985753c758ba,
|
||||
0x77ce585370525745,
|
||||
0x5c071a97a256ec6d,
|
||||
0x15f65ec3fa80e493,
|
||||
])),
|
||||
);
|
||||
|
||||
#[rustfmt::skip]
|
||||
const FROBENIUS_COEFF_FP6_C1: &'static [Fq2] = &[
|
||||
// Fq2(u + 1)**(((q^0) - 1) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x760900000002fffd,
|
||||
0xebf4000bc40c0002,
|
||||
0x5f48985753c758ba,
|
||||
0x77ce585370525745,
|
||||
0x5c071a97a256ec6d,
|
||||
0x15f65ec3fa80e493,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
|
||||
),
|
||||
// Fq2(u + 1)**(((q^1) - 1) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
|
||||
field_new!(Fq, BigInteger384([
|
||||
0xcd03c9e48671f071,
|
||||
0x5dab22461fcda5d2,
|
||||
0x587042afd3851b95,
|
||||
0x8eb60ebe01bacb9e,
|
||||
0x3f97d6e83d050d2,
|
||||
0x18f0206554638741,
|
||||
])),
|
||||
),
|
||||
// Fq2(u + 1)**(((q^2) - 1) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x30f1361b798a64e8,
|
||||
0xf3b8ddab7ece5a2a,
|
||||
0x16a8ca3ac61577f7,
|
||||
0xc26a2ff874fd029b,
|
||||
0x3636b76660701c6e,
|
||||
0x51ba4ab241b6160,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
|
||||
),
|
||||
// Fq2(u + 1)**(((q^3) - 1) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x760900000002fffd,
|
||||
0xebf4000bc40c0002,
|
||||
0x5f48985753c758ba,
|
||||
0x77ce585370525745,
|
||||
0x5c071a97a256ec6d,
|
||||
0x15f65ec3fa80e493,
|
||||
])),
|
||||
),
|
||||
// Fq2(u + 1)**(((q^4) - 1) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0xcd03c9e48671f071,
|
||||
0x5dab22461fcda5d2,
|
||||
0x587042afd3851b95,
|
||||
0x8eb60ebe01bacb9e,
|
||||
0x3f97d6e83d050d2,
|
||||
0x18f0206554638741,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
|
||||
),
|
||||
// Fq2(u + 1)**(((q^5) - 1) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x30f1361b798a64e8,
|
||||
0xf3b8ddab7ece5a2a,
|
||||
0x16a8ca3ac61577f7,
|
||||
0xc26a2ff874fd029b,
|
||||
0x3636b76660701c6e,
|
||||
0x51ba4ab241b6160,
|
||||
])),
|
||||
),
|
||||
];
|
||||
|
||||
#[rustfmt::skip]
|
||||
const FROBENIUS_COEFF_FP6_C2: &'static [Fq2] = &[
|
||||
// Fq2(u + 1)**(((2q^0) - 2) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x760900000002fffd,
|
||||
0xebf4000bc40c0002,
|
||||
0x5f48985753c758ba,
|
||||
0x77ce585370525745,
|
||||
0x5c071a97a256ec6d,
|
||||
0x15f65ec3fa80e493,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
|
||||
),
|
||||
// Fq2(u + 1)**(((2q^1) - 2) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x890dc9e4867545c3,
|
||||
0x2af322533285a5d5,
|
||||
0x50880866309b7e2c,
|
||||
0xa20d1b8c7e881024,
|
||||
0x14e4f04fe2db9068,
|
||||
0x14e56d3f1564853a,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
|
||||
),
|
||||
// Fq2(u + 1)**(((2q^2) - 2) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0xcd03c9e48671f071,
|
||||
0x5dab22461fcda5d2,
|
||||
0x587042afd3851b95,
|
||||
0x8eb60ebe01bacb9e,
|
||||
0x3f97d6e83d050d2,
|
||||
0x18f0206554638741,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
|
||||
),
|
||||
// Fq2(u + 1)**(((2q^3) - 2) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x43f5fffffffcaaae,
|
||||
0x32b7fff2ed47fffd,
|
||||
0x7e83a49a2e99d69,
|
||||
0xeca8f3318332bb7a,
|
||||
0xef148d1ea0f4c069,
|
||||
0x40ab3263eff0206,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
|
||||
),
|
||||
// Fq2(u + 1)**(((2q^4) - 2) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0x30f1361b798a64e8,
|
||||
0xf3b8ddab7ece5a2a,
|
||||
0x16a8ca3ac61577f7,
|
||||
0xc26a2ff874fd029b,
|
||||
0x3636b76660701c6e,
|
||||
0x51ba4ab241b6160,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
|
||||
),
|
||||
// Fq2(u + 1)**(((2q^5) - 2) / 3)
|
||||
field_new!(Fq2,
|
||||
field_new!(Fq, BigInteger384([
|
||||
0xecfb361b798dba3a,
|
||||
0xc100ddb891865a2c,
|
||||
0xec08ff1232bda8e,
|
||||
0xd5c13cc6f1ca4721,
|
||||
0x47222a47bf7b5c04,
|
||||
0x110f184e51c5f59,
|
||||
])),
|
||||
field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0])),
|
||||
),
|
||||
];
|
||||
|
||||
/// Multiply this element by the quadratic nonresidue 1 + u.
|
||||
/// Make this generic.
|
||||
fn mul_fp2_by_nonresidue(fe: &Fq2) -> Fq2 {
|
||||
let mut copy = *fe;
|
||||
let t0 = copy.c0;
|
||||
copy.c0 -= &fe.c1;
|
||||
copy.c1 += &t0;
|
||||
copy
|
||||
}
|
||||
}
|
||||
96
bls12_381/src/fields/fr.rs
Normal file
96
bls12_381/src/fields/fr.rs
Normal file
@@ -0,0 +1,96 @@
|
||||
use ark_ff::{
|
||||
biginteger::BigInteger256 as BigInteger,
|
||||
fields::{FftParameters, Fp256, Fp256Parameters, FpParameters},
|
||||
};
|
||||
|
||||
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 = BigInteger([
|
||||
0xb9b58d8c5f0e466a,
|
||||
0x5b1b4c801819d7ec,
|
||||
0xaf53ae352a31e64,
|
||||
0x5bf3adda19e9b27b,
|
||||
]);
|
||||
}
|
||||
impl FpParameters for FrParameters {
|
||||
/// MODULUS = 52435875175126190479447740508185965837690552500527637822603658699938581184513
|
||||
#[rustfmt::skip]
|
||||
const MODULUS: BigInteger = BigInteger([
|
||||
0xffffffff00000001,
|
||||
0x53bda402fffe5bfe,
|
||||
0x3339d80809a1d805,
|
||||
0x73eda753299d7d48,
|
||||
]);
|
||||
|
||||
const MODULUS_BITS: u32 = 255;
|
||||
|
||||
const CAPACITY: u32 = Self::MODULUS_BITS - 1;
|
||||
|
||||
const REPR_SHAVE_BITS: u32 = 1;
|
||||
|
||||
#[rustfmt::skip]
|
||||
const R: BigInteger = BigInteger([
|
||||
0x1fffffffe,
|
||||
0x5884b7fa00034802,
|
||||
0x998c4fefecbc4ff5,
|
||||
0x1824b159acc5056f,
|
||||
]);
|
||||
|
||||
#[rustfmt::skip]
|
||||
const R2: BigInteger = BigInteger([
|
||||
0xc999e990f3f29c6d,
|
||||
0x2b6cedcb87925c23,
|
||||
0x5d314967254398f,
|
||||
0x748d9d99f59ff11,
|
||||
]);
|
||||
|
||||
const INV: u64 = 0xfffffffeffffffff;
|
||||
|
||||
//
|
||||
#[rustfmt::skip]
|
||||
const GENERATOR: BigInteger = BigInteger([
|
||||
0xefffffff1,
|
||||
0x17e363d300189c0f,
|
||||
0xff9c57876f8457b0,
|
||||
0x351332208fc5a8c4,
|
||||
]);
|
||||
|
||||
#[rustfmt::skip]
|
||||
const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
|
||||
0x7fffffff80000000,
|
||||
0xa9ded2017fff2dff,
|
||||
0x199cec0404d0ec02,
|
||||
0x39f6d3a994cebea4,
|
||||
]);
|
||||
|
||||
// T and T_MINUS_ONE_DIV_TWO, where MODULUS - 1 = 2^S * T
|
||||
|
||||
// T = (MODULUS - 1) / 2^S =
|
||||
// 12208678567578594777604504606729831043093128246378069236549469339647
|
||||
#[rustfmt::skip]
|
||||
const T: BigInteger = BigInteger([
|
||||
0xfffe5bfeffffffff,
|
||||
0x9a1d80553bda402,
|
||||
0x299d7d483339d808,
|
||||
0x73eda753,
|
||||
]);
|
||||
|
||||
// (T - 1) / 2 =
|
||||
// 6104339283789297388802252303364915521546564123189034618274734669823
|
||||
#[rustfmt::skip]
|
||||
const T_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
|
||||
0x7fff2dff7fffffff,
|
||||
0x4d0ec02a9ded201,
|
||||
0x94cebea4199cec04,
|
||||
0x39f6d3a9,
|
||||
]);
|
||||
}
|
||||
27
bls12_381/src/fields/mod.rs
Normal file
27
bls12_381/src/fields/mod.rs
Normal file
@@ -0,0 +1,27 @@
|
||||
#[cfg(feature = "scalar_field")]
|
||||
pub mod fr;
|
||||
#[cfg(feature = "scalar_field")]
|
||||
pub use self::fr::*;
|
||||
|
||||
#[cfg(feature = "curve")]
|
||||
pub mod fq;
|
||||
#[cfg(feature = "curve")]
|
||||
pub use self::fq::*;
|
||||
|
||||
#[cfg(feature = "curve")]
|
||||
pub mod fq2;
|
||||
#[cfg(feature = "curve")]
|
||||
pub use self::fq2::*;
|
||||
|
||||
#[cfg(feature = "curve")]
|
||||
pub mod fq6;
|
||||
#[cfg(feature = "curve")]
|
||||
pub use self::fq6::*;
|
||||
|
||||
#[cfg(feature = "curve")]
|
||||
pub mod fq12;
|
||||
#[cfg(feature = "curve")]
|
||||
pub use self::fq12::*;
|
||||
|
||||
#[cfg(all(feature = "curve", feature = "std", test))]
|
||||
mod tests;
|
||||
2322
bls12_381/src/fields/tests.rs
Normal file
2322
bls12_381/src/fields/tests.rs
Normal file
File diff suppressed because it is too large
Load Diff
Reference in New Issue
Block a user