ark-curves-cherry-picked/bn254/src/curves/g2.rs
bn254/src/curves/g2.rsRaw
1use ark_ec::models::{ModelParameters, SWModelParameters};
2use ark_ff::{biginteger::BigInteger256, field_new, Zero};
3
4use crate::{g1, Fq, Fq2, Fr};
5
6#[derive(Clone, Default, PartialEq, Eq)]
7pub struct Parameters;
8
9impl ModelParameters for Parameters {
10 type BaseField = Fq2;
11 type ScalarField = Fr;
12}
13
14impl SWModelParameters for Parameters {
15 /// COEFF_A = [0, 0]
16 #[rustfmt::skip]
17 const COEFF_A: Fq2 = field_new!(Fq2,
18 g1::Parameters::COEFF_A,
19 g1::Parameters::COEFF_A,
20 );
21
22 /// COEFF_B = 3/(u+9)
23 /// = (19485874751759354771024239261021720505790618469301721065564631296452457478373, 266929791119991161246907387137283842545076965332900288569378510910307636690)
24 #[rustfmt::skip]
25 const COEFF_B: Fq2 = field_new!(Fq2,
26 field_new!(Fq, BigInteger256([
27 0x3bf938e377b802a8,
28 0x020b1b273633535d,
29 0x26b7edf049755260,
30 0x2514c6324384a86d,
31 ])),
32 field_new!(Fq, BigInteger256([
33 0x38e7ecccd1dcff67,
34 0x65f0b37d93ce0d3e,
35 0xd749d0dd22ac00aa,
36 0x0141b9ce4a688d4d,
37 ])),
38 );
39
40 /// COFACTOR = (36 * X^4) + (36 * X^3) + (30 * X^2) + 6*X + 1
41 /// = 21888242871839275222246405745257275088844257914179612981679871602714643921549
42 #[rustfmt::skip]
43 const COFACTOR: &'static [u64] = &[
44 0x345f2299c0f9fa8d,
45 0x06ceecda572a2489,
46 0xb85045b68181585e,
47 0x30644e72e131a029,
48 ];
49
50 /// COFACTOR_INV = COFACTOR^{-1} mod r
51 #[rustfmt::skip]
52 const COFACTOR_INV: Fr = field_new!(Fr, BigInteger256([
53 0x7fff17d53ff2895e,
54 0xd0617390cf7919e5,
55 0xb9af426b22d0eb61,
56 0x270485e31bd72a4d,
57 ]));
58
59 /// AFFINE_GENERATOR_COEFFS = (G2_GENERATOR_X, G2_GENERATOR_Y)
60 const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
61 (G2_GENERATOR_X, G2_GENERATOR_Y);
62
63 #[inline(always)]
64 fn mul_by_a(_: &Self::BaseField) -> Self::BaseField {
65 Self::BaseField::zero()
66 }
67}
68
69#[rustfmt::skip]
70pub const G2_GENERATOR_X: Fq2 = field_new!(Fq2, G2_GENERATOR_X_C0, G2_GENERATOR_X_C1);
71#[rustfmt::skip]
72pub const G2_GENERATOR_Y: Fq2 = field_new!(Fq2, G2_GENERATOR_Y_C0, G2_GENERATOR_Y_C1);
73
74/// G2_GENERATOR_X_C0 =
75/// 10857046999023057135944570762232829481370756359578518086990519993285655852781
76#[rustfmt::skip]
77pub const G2_GENERATOR_X_C0: Fq = field_new!(Fq, BigInteger256([
78 0x8e83b5d102bc2026,
79 0xdceb1935497b0172,
80 0xfbb8264797811adf,
81 0x19573841af96503b,
82]));
83
84/// G2_GENERATOR_X_C1 =
85/// 11559732032986387107991004021392285783925812861821192530917403151452391805634
86#[rustfmt::skip]
87pub const G2_GENERATOR_X_C1: Fq = field_new!(Fq, BigInteger256([
88 0xafb4737da84c6140,
89 0x6043dd5a5802d8c4,
90 0x09e950fc52a02f86,
91 0x14fef0833aea7b6b,
92]));
93
94/// G2_GENERATOR_Y_C0 =
95/// 8495653923123431417604973247489272438418190587263600148770280649306958101930
96#[rustfmt::skip]
97pub const G2_GENERATOR_Y_C0: Fq = field_new!(Fq, BigInteger256([
98 0x619dfa9d886be9f6,
99 0xfe7fd297f59e9b78,
100 0xff9e1a62231b7dfe,
101 0x28fd7eebae9e4206,
102]));
103
104/// G2_GENERATOR_Y_C1 =
105/// 4082367875863433681332203403145435568316851327593401208105741076214120093531
106#[rustfmt::skip]
107pub const G2_GENERATOR_Y_C1: Fq = field_new!(Fq, BigInteger256([
108 0x64095b56c71856ee,
109 0xdc57f922327d3cbb,
110 0x55f935be33351076,
111 0x0da4a0e693fd6482,
112]));