use ark_ec::models::{ModelParameters, SWModelParameters}; use ark_ff::{ biginteger::{BigInteger256, BigInteger384}, field_new, Zero, }; use crate::{g1, Fq, Fq2, Fr}; #[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] #[rustfmt::skip] const COEFF_A: Fq2 = field_new!(Fq2, g1::Parameters::COEFF_A, g1::Parameters::COEFF_A, ); // As per https://eprint.iacr.org/2012/072.pdf, // this curve has b' = b/i, where b is the COEFF_B of G1, and x^6 -i is // the irreducible poly used to extend from Fp2 to Fp12. // In our case, i = u (App A.3, T_6). /// COEFF_B = [0, /// 155198655607781456406391640216936120121836107652948796323930557600032281009004493664981332883744016074664192874906] #[rustfmt::skip] const COEFF_B: Fq2 = field_new!(Fq2, field_new!(Fq, BigInteger384([0, 0, 0, 0, 0, 0])), field_new!(Fq, BigInteger384([ 9255502405446297221, 10229180150694123945, 9215585410771530959, 13357015519562362907, 5437107869987383107, 16259554076827459, ])), ); /// COFACTOR = /// 7923214915284317143930293550643874566881017850177945424769256759165301436616933228209277966774092486467289478618404761412630691835764674559376407658497 #[rustfmt::skip] const COFACTOR: &'static [u64] = &[ 0x0000000000000001, 0x452217cc90000000, 0xa0f3622fba094800, 0xd693e8c36676bd09, 0x8c505634fae2e189, 0xfbb36b00e1dcc40c, 0xddd88d99a6f6a829, 0x26ba558ae9562a, ]; /// COFACTOR_INV = COFACTOR^{-1} mod r /// = 6764900296503390671038341982857278410319949526107311149686707033187604810669 #[rustfmt::skip] const COFACTOR_INV: Fr = field_new!(Fr, BigInteger256([ 15499857013495546999, 4613531467548868169, 14546778081091178013, 549402535258503313, ])); /// 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() } } #[rustfmt::skip] pub const G2_GENERATOR_X: Fq2 = field_new!(Fq2, G2_GENERATOR_X_C0, G2_GENERATOR_X_C1); #[rustfmt::skip] pub const G2_GENERATOR_Y: Fq2 = field_new!(Fq2, G2_GENERATOR_Y_C0, G2_GENERATOR_Y_C1); /// G2_GENERATOR_X_C0 = /// 233578398248691099356572568220835526895379068987715365179118596935057653620464273615301663571204657964920925606294 #[rustfmt::skip] pub const G2_GENERATOR_X_C0: Fq = field_new!(Fq, BigInteger384([ 0x68904082f268725b, 0x668f2ea74f45328b, 0xebca7a65802be84f, 0x1e1850f4c1ada3e6, 0x830dc22d588ef1e9, 0x1862a81767c0982, ])); /// G2_GENERATOR_X_C1 = /// 140913150380207355837477652521042157274541796891053068589147167627541651775299824604154852141315666357241556069118 #[rustfmt::skip] pub const G2_GENERATOR_X_C1: Fq = field_new!(Fq, BigInteger384([ 0x5f02a915c91c7f39, 0xf8c553ba388da2a7, 0xd51a416dbd198850, 0xe943c6f38ae3073a, 0xffe24aa8259a4981, 0x11853391e73dfdd, ])); /// G2_GENERATOR_Y_C0 = /// 63160294768292073209381361943935198908131692476676907196754037919244929611450776219210369229519898517858833747423 #[rustfmt::skip] pub const G2_GENERATOR_Y_C0: Fq = field_new!(Fq, BigInteger384([ 0xd5b19b897881430f, 0x5be9118a5b371ed, 0x6063f91f86c131ee, 0x3244a61be8f4ec19, 0xa02e425b9f9a3a12, 0x18af8c04f3360d2, ])); /// G2_GENERATOR_Y_C1 = /// 149157405641012693445398062341192467754805999074082136895788947234480009303640899064710353187729182149407503257491 #[rustfmt::skip] pub const G2_GENERATOR_Y_C1: Fq = field_new!(Fq, BigInteger384([ 0x57601ac71a5b96f5, 0xe99acc1714f2440e, 0x2339612f10118ea9, 0x8321e68a3b1cd722, 0x2b543b050cc74917, 0x590182b396c112, ]));