use crate::*; use ark_ec::{ bls12, models::{ModelParameters, SWModelParameters}, }; use ark_ff::{field_new, Zero}; pub type G2Affine = bls12::G2Affine; pub type G2Projective = bls12::G2Projective; #[derive(Clone, Default, PartialEq, Eq)] pub struct Parameters; impl ModelParameters for Parameters { type BaseField = Fq2; type ScalarField = Fr; } impl SWModelParameters for Parameters { /// COEFF_A = [0, 0] const COEFF_A: Fq2 = field_new!(Fq2, g1::Parameters::COEFF_A, g1::Parameters::COEFF_A,); /// COEFF_B = [4, 4] const COEFF_B: Fq2 = field_new!(Fq2, g1::Parameters::COEFF_B, g1::Parameters::COEFF_B,); /// COFACTOR = (x^8 - 4 x^7 + 5 x^6) - (4 x^4 + 6 x^3 - 4 x^2 - 4 x + 13) // /// 9 /// = 305502333931268344200999753193121504214466019254188142667664032982267604182971884026507427359259977847832272839041616661285803823378372096355777062779109 #[rustfmt::skip] const COFACTOR: &'static [u64] = &[ 0xcf1c38e31c7238e5, 0x1616ec6e786f0c70, 0x21537e293a6691ae, 0xa628f1cb4d9e82ef, 0xa68a205b2e5a7ddf, 0xcd91de4547085aba, 0x91d50792876a202, 0x5d543a95414e7f1, ]; /// COFACTOR_INV = COFACTOR^{-1} mod r /// 26652489039290660355457965112010883481355318854675681319708643586776743290055 #[rustfmt::skip] const COFACTOR_INV: Fr = field_new!(Fr, "26652489039290660355457965112010883481355318854675681319708643586776743290055"); /// AFFINE_GENERATOR_COEFFS = (G2_GENERATOR_X, G2_GENERATOR_Y) const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) = (G2_GENERATOR_X, G2_GENERATOR_Y); #[inline(always)] fn mul_by_a(_: &Self::BaseField) -> Self::BaseField { Self::BaseField::zero() } } pub const G2_GENERATOR_X: Fq2 = field_new!(Fq2, G2_GENERATOR_X_C0, G2_GENERATOR_X_C1); pub const G2_GENERATOR_Y: Fq2 = field_new!(Fq2, G2_GENERATOR_Y_C0, G2_GENERATOR_Y_C1); /// G2_GENERATOR_X_C0 = /// 352701069587466618187139116011060144890029952792775240219908644239793785735715026873347600343865175952761926303160 #[rustfmt::skip] pub const G2_GENERATOR_X_C0: Fq = field_new!(Fq, "352701069587466618187139116011060144890029952792775240219908644239793785735715026873347600343865175952761926303160"); /// G2_GENERATOR_X_C1 = /// 3059144344244213709971259814753781636986470325476647558659373206291635324768958432433509563104347017837885763365758 #[rustfmt::skip] pub const G2_GENERATOR_X_C1: Fq = field_new!(Fq, "3059144344244213709971259814753781636986470325476647558659373206291635324768958432433509563104347017837885763365758"); /// G2_GENERATOR_Y_C0 = /// 1985150602287291935568054521177171638300868978215655730859378665066344726373823718423869104263333984641494340347905 #[rustfmt::skip] pub const G2_GENERATOR_Y_C0: Fq = field_new!(Fq, "1985150602287291935568054521177171638300868978215655730859378665066344726373823718423869104263333984641494340347905"); /// G2_GENERATOR_Y_C1 = /// 927553665492332455747201965776037880757740193453592970025027978793976877002675564980949289727957565575433344219582 #[rustfmt::skip] pub const G2_GENERATOR_Y_C1: Fq = field_new!(Fq, "927553665492332455747201965776037880757740193453592970025027978793976877002675564980949289727957565575433344219582");