ark-curves-cherry-picked/mnt6_298/src/curves/g2.rs
mnt6_298/src/curves/g2.rsRaw
1use ark_ec::{
2 mnt6,
3 mnt6::MNT6Parameters,
4 models::{ModelParameters, SWModelParameters},
5};
6use ark_ff::{field_new};
7
8use crate::{g1, Fq, Fq3, Fr, FQ_ZERO};
9
10pub type G2Affine = mnt6::G2Affine<crate::Parameters>;
11pub type G2Projective = mnt6::G2Projective<crate::Parameters>;
12pub type G2Prepared = mnt6::G2Prepared<crate::Parameters>;
13
14#[derive(Clone, Default, PartialEq, Eq)]
15pub struct Parameters;
16
17impl ModelParameters for Parameters {
18 type BaseField = Fq3;
19 type ScalarField = Fr;
20}
21
22/// MUL_BY_A_C0 = NONRESIDUE * COEFF_A = 5 * 11
23 #[rustfmt::skip]
24pub const MUL_BY_A_C0: Fq = field_new!(Fq, "55");
25
26/// MUL_BY_A_C1 = NONRESIDUE * COEFF_A
27 #[rustfmt::skip]
28pub const MUL_BY_A_C1: Fq = field_new!(Fq, "55");
29
30/// MUL_BY_A_C2 = COEFF_A
31pub const MUL_BY_A_C2: Fq = g1::Parameters::COEFF_A;
32
33impl SWModelParameters for Parameters {
34 const COEFF_A: Fq3 = crate::Parameters::TWIST_COEFF_A;
35 #[rustfmt::skip]
36 const COEFF_B: Fq3 = field_new!(Fq3,
37 // 5 * G1::COEFF_B
38 field_new!(Fq, "57578116384997352636487348509878309737146377454014423897662211075515354005624851787652233"),
39 FQ_ZERO,
40 FQ_ZERO,
41 );
42
43 /// COFACTOR =
44 /// 226502022472576270196498690498308461791828762732602586162207535351960270082712694977333372361549082214519252261735048131889018501404377856786623430385820659037970876666767495659520
45 #[rustfmt::skip]
46 const COFACTOR: &'static [u64] = &[
47 15308190245346869248,
48 10669098443577192943,
49 4561413759929581409,
50 3680089780298582849,
51 17336300687782721465,
52 10745756320947240891,
53 17479264233688728128,
54 16828697388537672097,
55 4184034152442024798,
56 915787,
57 ];
58
59 /// COFACTOR^(-1) mod r =
60 /// 79320381028210220958891541608841408590854146655427655872973753568875979721417185067925504
61 #[rustfmt::skip]
62 const COFACTOR_INV: Fr = field_new!(Fr, "79320381028210220958891541608841408590854146655427655872973753568875979721417185067925504");
63
64 /// AFFINE_GENERATOR_COEFFS = (G2_GENERATOR_X, G2_GENERATOR_Y)
65 const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
66 (G2_GENERATOR_X, G2_GENERATOR_Y);
67
68 #[inline(always)]
69 fn mul_by_a(elt: &Fq3) -> Fq3 {
70 field_new!(
71 Fq3,
72 MUL_BY_A_C0 * &elt.c1,
73 MUL_BY_A_C1 * &elt.c2,
74 MUL_BY_A_C2 * &elt.c0,
75 )
76 }
77}
78
79const G2_GENERATOR_X: Fq3 =
80 field_new!(Fq3, G2_GENERATOR_X_C0, G2_GENERATOR_X_C1, G2_GENERATOR_X_C2);
81const G2_GENERATOR_Y: Fq3 =
82 field_new!(Fq3, G2_GENERATOR_Y_C0, G2_GENERATOR_Y_C1, G2_GENERATOR_Y_C2);
83
84pub const G2_GENERATOR_X_C0: Fq = field_new!(Fq, "421456435772811846256826561593908322288509115489119907560382401870203318738334702321297427");
85pub const G2_GENERATOR_X_C1: Fq = field_new!(Fq, "103072927438548502463527009961344915021167584706439945404959058962657261178393635706405114");
86pub const G2_GENERATOR_X_C2: Fq = field_new!(Fq, "143029172143731852627002926324735183809768363301149009204849580478324784395590388826052558");
87
88pub const G2_GENERATOR_Y_C0: Fq = field_new!(Fq, "464673596668689463130099227575639512541218133445388869383893594087634649237515554342751377");
89pub const G2_GENERATOR_Y_C1: Fq = field_new!(Fq, "100642907501977375184575075967118071807821117960152743335603284583254620685343989304941678");
90pub const G2_GENERATOR_Y_C2: Fq = field_new!(Fq, "123019855502969896026940545715841181300275180157288044663051565390506010149881373807142903");