1use ark_ec::models::{ModelParameters, SWModelParameters};
 2use ark_ff::{MontFp, QuadExt, Zero};
 3
 4use crate::{fields::FQ_ZERO, 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    /// COFACTOR =
14    /// 7923214915284317143930293550643874566881017850177945424769256759165301436616933228209277966774092486467289478618404761412630691835764674559376407658497
15    #[rustfmt::skip]
16    const COFACTOR: &'static [u64] = &[
17        0x0000000000000001,
18        0x452217cc90000000,
19        0xa0f3622fba094800,
20        0xd693e8c36676bd09,
21        0x8c505634fae2e189,
22        0xfbb36b00e1dcc40c,
23        0xddd88d99a6f6a829,
24        0x26ba558ae9562a,
25    ];
26
27    /// COFACTOR_INV = COFACTOR^{-1} mod r
28    /// = 6764900296503390671038341982857278410319949526107311149686707033187604810669
29    const COFACTOR_INV: Fr = MontFp!(
30        Fr,
31        "6764900296503390671038341982857278410319949526107311149686707033187604810669"
32    );
33}
34
35impl SWModelParameters for Parameters {
36    /// COEFF_A = [0, 0]
37    const COEFF_A: Fq2 = QuadExt!(g1::Parameters::COEFF_A, g1::Parameters::COEFF_A,);
38
39    // As per https://eprint.iacr.org/2012/072.pdf,
40    // this curve has b' = b/i, where b is the COEFF_B of G1, and x^6 -i is
41    // the irreducible poly used to extend from Fp2 to Fp12.
42    // In our case, i = u (App A.3, T_6).
43    /// COEFF_B = [0,
44    /// 155198655607781456406391640216936120121836107652948796323930557600032281009004493664981332883744016074664192874906]
45    const COEFF_B: Fq2 = QuadExt!(
46        FQ_ZERO,
47        MontFp!(Fq, "155198655607781456406391640216936120121836107652948796323930557600032281009004493664981332883744016074664192874906"),
48    );
49
50    /// AFFINE_GENERATOR_COEFFS = (G2_GENERATOR_X, G2_GENERATOR_Y)
51    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
52        (G2_GENERATOR_X, G2_GENERATOR_Y);
53
54    #[inline(always)]
55    fn mul_by_a(_: &Self::BaseField) -> Self::BaseField {
56        Self::BaseField::zero()
57    }
58}
59
60pub const G2_GENERATOR_X: Fq2 = QuadExt!(G2_GENERATOR_X_C0, G2_GENERATOR_X_C1);
61pub const G2_GENERATOR_Y: Fq2 = QuadExt!(G2_GENERATOR_Y_C0, G2_GENERATOR_Y_C1);
62
63/// G2_GENERATOR_X_C0 =
64/// 233578398248691099356572568220835526895379068987715365179118596935057653620464273615301663571204657964920925606294
65pub const G2_GENERATOR_X_C0: Fq = MontFp!(Fq, "233578398248691099356572568220835526895379068987715365179118596935057653620464273615301663571204657964920925606294");
66
67/// G2_GENERATOR_X_C1 =
68/// 140913150380207355837477652521042157274541796891053068589147167627541651775299824604154852141315666357241556069118
69pub const G2_GENERATOR_X_C1: Fq = MontFp!(Fq, "140913150380207355837477652521042157274541796891053068589147167627541651775299824604154852141315666357241556069118");
70
71/// G2_GENERATOR_Y_C0 =
72/// 63160294768292073209381361943935198908131692476676907196754037919244929611450776219210369229519898517858833747423
73pub const G2_GENERATOR_Y_C0: Fq = MontFp!(Fq, "63160294768292073209381361943935198908131692476676907196754037919244929611450776219210369229519898517858833747423");
74
75/// G2_GENERATOR_Y_C1 =
76/// 149157405641012693445398062341192467754805999074082136895788947234480009303640899064710353187729182149407503257491
77pub const G2_GENERATOR_Y_C1: Fq = MontFp!(Fq, "149157405641012693445398062341192467754805999074082136895788947234480009303640899064710353187729182149407503257491");