ark-curves-cherry-picked/bw6_761/src/curves/g1.rs
bw6_761/src/curves/g1.rsRaw
1use ark_ec::{
2 models::{short_weierstrass::SWCurveConfig, CurveConfig},
3 scalar_mul::glv::GLVConfig,
4 short_weierstrass::{Affine, Projective},
5};
6use ark_ff::{AdditiveGroup, BigInt, MontFp, PrimeField};
7
8use crate::{Fq, Fr};
9
10pub type G1Affine = Affine<Config>;
11pub type G1Projective = Projective<Config>;
12
13#[derive(Clone, Default, PartialEq, Eq)]
14pub struct Config;
15
16impl CurveConfig for Config {
17 type BaseField = Fq;
18 type ScalarField = Fr;
19
20 /// COFACTOR =
21 /// 26642435879335816683987677701488073867751118270052650655942102502312977592501693353047140953112195348280268661194876
22 #[rustfmt::skip]
23 const COFACTOR: &'static [u64] = &[
24 0x3de580000000007c,
25 0x832ba4061000003b,
26 0xc61c554757551c0c,
27 0xc856a0853c9db94c,
28 0x2c77d5ac34cb12ef,
29 0xad1972339049ce76,
30 ];
31
32 /// COFACTOR^(-1) mod r =
33 /// 91141326767669940707819291241958318717982251277713150053234367522357946997763584490607453720072232540829942217804
34 const COFACTOR_INV: Fr = MontFp!("91141326767669940707819291241958318717982251277713150053234367522357946997763584490607453720072232540829942217804");
35}
36
37impl SWCurveConfig for Config {
38 /// COEFF_A = 0
39 const COEFF_A: Fq = Fq::ZERO;
40
41 /// COEFF_B = -1
42 const COEFF_B: Fq = MontFp!("-1");
43
44 /// AFFINE_GENERATOR_COEFFS = (G1_GENERATOR_X, G1_GENERATOR_Y)
45 const GENERATOR: G1Affine = G1Affine::new_unchecked(G1_GENERATOR_X, G1_GENERATOR_Y);
46 #[inline(always)]
47 fn mul_by_a(_elem: Self::BaseField) -> Self::BaseField {
48 use ark_ff::Zero;
49 Self::BaseField::zero()
50 }
51}
52
53impl GLVConfig for Config {
54 const ENDO_COEFFS: &'static [Self::BaseField] = &[MontFp!(
55 "4922464560225523242118178942575080391082002530232324381063048548642823052024664478336818169867474395270858391911405337707247735739826664939444490469542109391530482826728203582549674992333383150446779312029624171857054392282775648"
56 )];
57
58 const LAMBDA: Self::ScalarField =
59 MontFp!("258664426012969093929703085429980814127835149614277183275038967946009968870203535512256352201271898244626862047231");
60
61 const SCALAR_DECOMP_COEFFS: [(bool, <Self::ScalarField as PrimeField>::BigInt); 4] = [
62 (
63 true,
64 BigInt!("293634935485640680722085584138834120324914961969255022593"),
65 ),
66 (
67 false,
68 BigInt!("293634935485640680722085584138834120315328839056164388863"),
69 ),
70 (
71 true,
72 BigInt!("293634935485640680722085584138834120315328839056164388863"),
73 ),
74 (
75 true,
76 BigInt!("587269870971281361444171168277668240640243801025419411456"),
77 ),
78 ];
79
80 fn endomorphism(p: &Projective<Self>) -> Projective<Self> {
81 let mut res = (*p).clone();
82 res.x *= Self::ENDO_COEFFS[0];
83 res
84 }
85
86 fn endomorphism_affine(p: &Affine<Self>) -> Affine<Self> {
87 let mut res = (*p).clone();
88 res.x *= Self::ENDO_COEFFS[0];
89 res
90 }
91}
92
93/// G1_GENERATOR_X =
94/// 6238772257594679368032145693622812838779005809760824733138787810501188623461307351759238099287535516224314149266511977132140828635950940021790489507611754366317801811090811367945064510304504157188661901055903167026722666149426237
95pub const G1_GENERATOR_X: Fq = MontFp!("6238772257594679368032145693622812838779005809760824733138787810501188623461307351759238099287535516224314149266511977132140828635950940021790489507611754366317801811090811367945064510304504157188661901055903167026722666149426237");
96
97/// G1_GENERATOR_Y =
98/// 2101735126520897423911504562215834951148127555913367997162789335052900271653517958562461315794228241561913734371411178226936527683203879553093934185950470971848972085321797958124416462268292467002957525517188485984766314758624099
99pub const G1_GENERATOR_Y: Fq = MontFp!("2101735126520897423911504562215834951148127555913367997162789335052900271653517958562461315794228241561913734371411178226936527683203879553093934185950470971848972085321797958124416462268292467002957525517188485984766314758624099");