arnaucube
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ark-curves-cherry-picked/bw6_761/src/curves/g1.rs
bw6_761/src/curves/g1.rsRaw
  1use crate::{Fq, Fr};
  2use ark_ec::{
  3    models::{ModelParameters, SWModelParameters},
  4    short_weierstrass_jacobian::{GroupAffine, GroupProjective},
  5};
  6use ark_ff::{
  7    biginteger::{BigInteger384, BigInteger768},
  8    field_new,
  9};
 10
 11pub type G1Affine = GroupAffine<Parameters>;
 12pub type G1Projective = GroupProjective<Parameters>;
 13
 14#[derive(Clone, Default, PartialEq, Eq)]
 15pub struct Parameters;
 16
 17impl ModelParameters for Parameters {
 18    type BaseField = Fq;
 19    type ScalarField = Fr;
 20}
 21
 22impl SWModelParameters for Parameters {
 23    /// COEFF_A = 0
 24    #[rustfmt::skip]
 25
 26    const COEFF_A: Fq = field_new!(Fq, BigInteger768([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]));
 27
 28    /// COEFF_B = -1
 29    #[rustfmt::skip]
 30    const COEFF_B: Fq = field_new!(Fq, BigInteger768([
 31        0xf29a000000007ab6,
 32        0x8c391832e000739b,
 33        0x77738a6b6870f959,
 34        0xbe36179047832b03,
 35        0x84f3089e56574722,
 36        0xc5a3614ac0b1d984,
 37        0x5c81153f4906e9fe,
 38        0x4d28be3a9f55c815,
 39        0xd72c1d6f77d5f5c5,
 40        0x73a18e069ac04458,
 41        0xf9dfaa846595555f,
 42        0xd0f0a60a5be58c,
 43    ]));
 44
 45    /// COFACTOR =
 46    /// 26642435879335816683987677701488073867751118270052650655942102502312977592501693353047140953112195348280268661194876
 47    #[rustfmt::skip]
 48    const COFACTOR: &'static [u64] = &[
 49        0x3de580000000007c,
 50        0x832ba4061000003b,
 51        0xc61c554757551c0c,
 52        0xc856a0853c9db94c,
 53        0x2c77d5ac34cb12ef,
 54        0xad1972339049ce76,
 55    ];
 56
 57    /// COFACTOR^(-1) mod r =
 58    /// 91141326767669940707819291241958318717982251277713150053234367522357946997763584490607453720072232540829942217804
 59    #[rustfmt::skip]
 60    const COFACTOR_INV: Fr = field_new!(Fr, BigInteger384([
 61        489703175600125849,
 62        3883341943836920852,
 63        1678256062427438196,
 64        5848789333018172718,
 65        7127967896440782320,
 66        71512347676739162,
 67    ]));
 68
 69    /// AFFINE_GENERATOR_COEFFS = (G1_GENERATOR_X, G1_GENERATOR_Y)
 70    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
 71        (G1_GENERATOR_X, G1_GENERATOR_Y);
 72    #[inline(always)]
 73    fn mul_by_a(_elem: &Self::BaseField) -> Self::BaseField {
 74        use ark_ff::Zero;
 75        Self::BaseField::zero()
 76    }
 77}
 78
 79/// G1_GENERATOR_X =
 80/// 6238772257594679368032145693622812838779005809760824733138787810501188623461307351759238099287535516224314149266511977132140828635950940021790489507611754366317801811090811367945064510304504157188661901055903167026722666149426237
 81#[rustfmt::skip]
 82pub const G1_GENERATOR_X: Fq = field_new!(Fq, BigInteger768([
 83    0xd6e42d7614c2d770,
 84    0x4bb886eddbc3fc21,
 85    0x64648b044098b4d2,
 86    0x1a585c895a422985,
 87    0xf1a9ac17cf8685c9,
 88    0x352785830727aea5,
 89    0xddf8cb12306266fe,
 90    0x6913b4bfbc9e949a,
 91    0x3a4b78d67ba5f6ab,
 92    0x0f481c06a8d02a04,
 93    0x91d4e7365c43edac,
 94    0xf4d17cd48beca5,
 95]));
 96
 97/// G1_GENERATOR_Y =
 98/// 2101735126520897423911504562215834951148127555913367997162789335052900271653517958562461315794228241561913734371411178226936527683203879553093934185950470971848972085321797958124416462268292467002957525517188485984766314758624099
 99#[rustfmt::skip]
100pub const G1_GENERATOR_Y: Fq = field_new!(Fq, BigInteger768([
101    0x97e805c4bd16411f,
102    0x870d844e1ee6dd08,
103    0x1eba7a37cb9eab4d,
104    0xd544c4df10b9889a,
105    0x8fe37f21a33897be,
106    0xe9bf99a43a0885d2,
107    0xd7ee0c9e273de139,
108    0xaa6a9ec7a38dd791,
109    0x8f95d3fcf765da8e,
110    0x42326e7db7357c99,
111    0xe217e407e218695f,
112    0x9d1eb23b7cf684,
113]));