ark-curves-cherry-picked/mnt4_753/src/curves/mod.rs
mnt4_753/src/curves/mod.rsRaw
1use ark_ec::models::mnt4::{MNT4Config, MNT4};
2use ark_ff::{
3 biginteger::{BigInt, BigInteger768},
4 AdditiveGroup, Field, Fp2, MontFp,
5};
6
7use crate::{Fq, Fq2Config, Fq4Config, Fr};
8
9pub mod g1;
10pub mod g2;
11
12#[cfg(test)]
13mod tests;
14
15pub use self::{
16 g1::{G1Affine, G1Prepared, G1Projective},
17 g2::{G2Affine, G2Prepared, G2Projective},
18};
19
20pub type MNT4_753 = MNT4<Config>;
21
22pub struct Config;
23
24impl MNT4Config for Config {
25 const TWIST: Fp2<Self::Fp2Config> = Fp2::new(Fq::ZERO, Fq::ONE);
26 // A coefficient of MNT4-753 G2 =
27 // ```
28 // mnt4753_twist_coeff_a = mnt4753_Fq2(mnt4753_G1::coeff_a * non_residue, mnt6753_Fq::zero());
29 // = (A_COEFF * NONRESIDUE, ZERO)
30 // = (26, ZERO)
31 // ```
32 const TWIST_COEFF_A: Fp2<Self::Fp2Config> = Fp2::new(G1_COEFF_A_NON_RESIDUE, Fq::ZERO);
33 // https://github.com/o1-labs/snarky/blob/9c21ab2bb23874604640740d646a932e813432c3/snarkette/mnt4753.ml
34 const ATE_LOOP_COUNT: &'static [i8] = &[
35 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1, 0,
36 -1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1,
37 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0,
38 0, -1, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, -1, 0, -1, 0, 1, 0, 1, 0, 0, 0, 0,
39 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, -1, 0, -1,
40 0, 0, 1, 0, 0, 1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, -1,
41 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 0,
42 -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
43 -1, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 1, 0, 1, 0, -1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 0,
44 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 1,
45 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, 0,
46 0, -1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0,
47 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
48 0, 0, 0,
49 ];
50 const ATE_IS_LOOP_COUNT_NEG: bool = true;
51 const FINAL_EXPONENT_LAST_CHUNK_1: BigInteger768 =
52 BigInt::new([0x1, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0]);
53 const FINAL_EXPONENT_LAST_CHUNK_W0_IS_NEG: bool = true;
54 const FINAL_EXPONENT_LAST_CHUNK_ABS_OF_W0: BigInteger768 = BigInt::new([
55 8824542903220142079,
56 7711082599397206192,
57 8303354903384568230,
58 5874150271971943936,
59 9717849827920685054,
60 95829799234282493,
61 0,
62 0,
63 0,
64 0,
65 0,
66 0,
67 ]);
68 type Fp = Fq;
69 type Fr = Fr;
70 type Fp2Config = Fq2Config;
71 type Fp4Config = Fq4Config;
72 type G1Config = self::g1::Config;
73 type G2Config = self::g2::Config;
74}
75
76// 26
77pub const G1_COEFF_A_NON_RESIDUE: Fq = MontFp!("26");