use ark_ec::models::mnt4::{MNT4Parameters, MNT4}; use ark_ff::{biginteger::BigInteger768, field_new, fields::FpParameters, Fp2}; use crate::{Fq, Fq2, Fq2Parameters, Fq4Parameters, FqParameters, Fr, FrParameters}; pub mod g1; pub mod g2; #[cfg(test)] mod tests; pub use self::{ g1::{G1Affine, G1Prepared, G1Projective}, g2::{G2Affine, G2Prepared, G2Projective}, }; pub type MNT4_753 = MNT4; pub struct Parameters; impl MNT4Parameters for Parameters { const TWIST: Fp2 = field_new!(Fq2, FQ_ZERO, FQ_ONE); // A coefficient of MNT4-753 G2 = // ``` // mnt4753_twist_coeff_a = mnt4753_Fq2(mnt4753_G1::coeff_a * non_residue, mnt6753_Fq::zero()); // = (A_COEFF * NONRESIDUE, ZERO) // = (26, ZERO) // ``` #[rustfmt::skip] const TWIST_COEFF_A: Fp2 = field_new!(Fq2, G1_COEFF_A_NON_RESIDUE, FQ_ZERO, ); // https://github.com/o1-labs/snarky/blob/9c21ab2bb23874604640740d646a932e813432c3/snarkette/mnt4753.ml const ATE_LOOP_COUNT: &'static [u64] = &[ 8824542903220142080, 7711082599397206192, 8303354903384568230, 5874150271971943936, 9717849827920685054, 95829799234282493, ]; const ATE_IS_LOOP_COUNT_NEG: bool = true; const FINAL_EXPONENT_LAST_CHUNK_1: BigInteger768 = BigInteger768([0x1, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0]); const FINAL_EXPONENT_LAST_CHUNK_W0_IS_NEG: bool = true; const FINAL_EXPONENT_LAST_CHUNK_ABS_OF_W0: BigInteger768 = BigInteger768([ 8824542903220142079, 7711082599397206192, 8303354903384568230, 5874150271971943936, 9717849827920685054, 95829799234282493, 0, 0, 0, 0, 0, 0, ]); type Fp = Fq; type Fr = Fr; type Fp2Params = Fq2Parameters; type Fp4Params = Fq4Parameters; type G1Parameters = self::g1::Parameters; type G2Parameters = self::g2::Parameters; } // 26 pub const G1_COEFF_A_NON_RESIDUE: Fq = field_new!( Fq, BigInteger768([ 16948538951764659373, 10775354577659735631, 12766795894854242596, 8684022258823474090, 973489465296612807, 3883945490221946200, 16178634811223492029, 16155746945640075033, 17642042187059426365, 10295720303844380352, 13265853240981244259, 39422991244875, ]) ); pub const FQ_ZERO: Fq = field_new!(Fq, BigInteger768([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])); pub const FQ_ONE: Fq = field_new!(Fq, FqParameters::R); pub const FR_ZERO: Fr = field_new!(Fr, BigInteger768([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])); pub const FR_ONE: Fr = field_new!(Fr, FrParameters::R);