ark_bn254/fields/
fq6.rs

1use ark_ff::{fields::*, MontFp};
2
3use crate::*;
4
5pub type Fq6 = Fp6<Fq6Config>;
6
7#[derive(Clone, Copy)]
8pub struct Fq6Config;
9
10impl Fp6Config for Fq6Config {
11    type Fp2Config = Fq2Config;
12
13    /// NONRESIDUE = U+9
14    const NONRESIDUE: Fq2 = Fq2::new(MontFp!("9"), Fq::ONE);
15
16    const FROBENIUS_COEFF_FP6_C1: &'static [Fq2] = &[
17        // Fp2::NONRESIDUE^(((q^0) - 1) / 3)
18        Fq2::new(Fq::ONE, Fq::ZERO),
19        // Fp2::NONRESIDUE^(((q^1) - 1) / 3)
20        Fq2::new(
21            MontFp!(
22                "21575463638280843010398324269430826099269044274347216827212613867836435027261"
23            ),
24            MontFp!(
25                "10307601595873709700152284273816112264069230130616436755625194854815875713954"
26            ),
27        ),
28        // Fp2::NONRESIDUE^(((q^2) - 1) / 3)
29        Fq2::new(
30            MontFp!(
31                "21888242871839275220042445260109153167277707414472061641714758635765020556616"
32            ),
33            Fq::ZERO,
34        ),
35        // Fp2::NONRESIDUE^(((q^3) - 1) / 3)
36        Fq2::new(
37            MontFp!("3772000881919853776433695186713858239009073593817195771773381919316419345261"),
38            MontFp!("2236595495967245188281701248203181795121068902605861227855261137820944008926"),
39        ),
40        // Fp2::NONRESIDUE^(((q^4) - 1) / 3)
41        Fq2::new(
42            MontFp!("2203960485148121921418603742825762020974279258880205651966"),
43            Fq::ZERO,
44        ),
45        // Fp2::NONRESIDUE^(((q^5) - 1) / 3)
46        Fq2::new(
47            MontFp!(
48                "18429021223477853657660792034369865839114504446431234726392080002137598044644"
49            ),
50            MontFp!("9344045779998320333812420223237981029506012124075525679208581902008406485703"),
51        ),
52    ];
53
54    const FROBENIUS_COEFF_FP6_C2: &'static [Fq2] = &[
55        // Fp2::NONRESIDUE^((2*(q^0) - 2) / 3)
56        Fq2::new(Fq::ONE, Fq::ZERO),
57        // Fp2::NONRESIDUE^((2*(q^1) - 2) / 3)
58        Fq2::new(
59            MontFp!("2581911344467009335267311115468803099551665605076196740867805258568234346338"),
60            MontFp!(
61                "19937756971775647987995932169929341994314640652964949448313374472400716661030"
62            ),
63        ),
64        // Fp2::NONRESIDUE^((2*(q^2) - 2) / 3)
65        Fq2::new(
66            MontFp!("2203960485148121921418603742825762020974279258880205651966"),
67            Fq::ZERO,
68        ),
69        // Fp2::NONRESIDUE^((2*(q^3) - 2) / 3)
70        Fq2::new(
71            MontFp!("5324479202449903542726783395506214481928257762400643279780343368557297135718"),
72            MontFp!(
73                "16208900380737693084919495127334387981393726419856888799917914180988844123039"
74            ),
75        ),
76        // Fp2::NONRESIDUE^((2*(q^4) - 2) / 3)
77        Fq2::new(
78            MontFp!(
79                "21888242871839275220042445260109153167277707414472061641714758635765020556616"
80            ),
81            Fq::ZERO,
82        ),
83        // Fp2::NONRESIDUE^((2*(q^5) - 2) / 3)
84        Fq2::new(
85            MontFp!(
86                "13981852324922362344252311234282257507216387789820983642040889267519694726527"
87            ),
88            MontFp!("7629828391165209371577384193250820201684255241773809077146787135900891633097"),
89        ),
90    ];
91
92    #[inline(always)]
93    fn mul_fp2_by_nonresidue_in_place(fe: &mut Fq2) -> &mut Fq2 {
94        // (c0+u*c1)*(9+u) = (9*c0-c1)+u*(9*c1+c0)
95        let mut f = *fe;
96        f.double_in_place().double_in_place().double_in_place();
97        let mut c0 = fe.c1;
98        Fq2Config::mul_fp_by_nonresidue_in_place(&mut c0);
99        c0 += &f.c0;
100        c0 += &fe.c0;
101        let c1 = f.c1 + fe.c1 + fe.c0;
102        *fe = Fq2::new(c0, c1);
103        fe
104    }
105}
ark_bn254/fields/fq6.rs

ark_bn254/fields/
fq6.rs
