use ark_ec::{ models::{short_weierstrass::SWCurveConfig, CurveConfig}, scalar_mul::glv::GLVConfig, short_weierstrass::{Affine, Projective}, }; use ark_ff::{AdditiveGroup, BigInt, MontFp, PrimeField}; use crate::{Fq, Fr}; pub type G2Affine = Affine; pub type G2Projective = Projective; #[derive(Clone, Default, PartialEq, Eq)] pub struct Config; impl CurveConfig for Config { type BaseField = Fq; type ScalarField = Fr; /// COFACTOR = /// 26642435879335816683987677701488073867751118270052650655942102502312977592501693353047140953112195348280268661194869 #[rustfmt::skip] const COFACTOR: &'static [u64] = &[ 0x3de5800000000075, 0x832ba4061000003b, 0xc61c554757551c0c, 0xc856a0853c9db94c, 0x2c77d5ac34cb12ef, 0xad1972339049ce76, ]; /// COFACTOR^(-1) mod r = /// 214911522365886453591244899095480747723790054550866810551297776298664428889000553861210287833206024638187939842124 const COFACTOR_INV: Fr = MontFp!("214911522365886453591244899095480747723790054550866810551297776298664428889000553861210287833206024638187939842124"); } impl SWCurveConfig for Config { /// COEFF_A = 0 const COEFF_A: Fq = Fq::ZERO; /// COEFF_B = 4 const COEFF_B: Fq = MontFp!("4"); /// AFFINE_GENERATOR_COEFFS = (G2_GENERATOR_X, G2_GENERATOR_Y) const GENERATOR: G2Affine = G2Affine::new_unchecked(G2_GENERATOR_X, G2_GENERATOR_Y); #[inline(always)] fn mul_by_a(_elem: Self::BaseField) -> Self::BaseField { use ark_ff::Zero; Self::BaseField::zero() } } impl GLVConfig for Config { const ENDO_COEFFS: &'static [Self::BaseField] = &[ MontFp!("4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775648"), ]; const LAMBDA: Self::ScalarField = MontFp!("80949648264912719408558363140637477264845294720710499478137287262712535938301461879813459410945"); const SCALAR_DECOMP_COEFFS: [(bool, ::BigInt); 4] = [ ( true, BigInt!("293634935485640680722085584138834120315328839056164388863"), ), ( false, BigInt!("293634935485640680722085584138834120324914961969255022593"), ), ( true, BigInt!("293634935485640680722085584138834120324914961969255022593"), ), ( true, BigInt!("587269870971281361444171168277668240640243801025419411456"), ), ]; fn endomorphism(p: &Projective) -> Projective { let mut res = (*p).clone(); res.x *= Self::ENDO_COEFFS[0]; res } fn endomorphism_affine(p: &Affine) -> Affine { let mut res = (*p).clone(); res.x *= Self::ENDO_COEFFS[0]; res } } /// G2_GENERATOR_X = /// 6445332910596979336035888152774071626898886139774101364933948236926875073754470830732273879639675437155036544153105017729592600560631678554299562762294743927912429096636156401171909259073181112518725201388196280039960074422214428 pub const G2_GENERATOR_X: Fq = MontFp!("6445332910596979336035888152774071626898886139774101364933948236926875073754470830732273879639675437155036544153105017729592600560631678554299562762294743927912429096636156401171909259073181112518725201388196280039960074422214428"); /// G2_GENERATOR_Y = /// 562923658089539719386922163444547387757586534741080263946953401595155211934630598999300396317104182598044793758153214972605680357108252243146746187917218885078195819486220416605630144001533548163105316661692978285266378674355041 pub const G2_GENERATOR_Y: Fq = MontFp!("562923658089539719386922163444547387757586534741080263946953401595155211934630598999300396317104182598044793758153214972605680357108252243146746187917218885078195819486220416605630144001533548163105316661692978285266378674355041");