1use crate::*;
 2use ark_ff::{field_new, fields::*};
 3
 4pub type Fq6 = Fp6<Fq6Parameters>;
 5
 6#[derive(Clone, Copy)]
 7pub struct Fq6Parameters;
 8
 9impl Fp6Parameters for Fq6Parameters {
10    type Fp2Params = Fq2Parameters;
11
12    /// NONRESIDUE = (U + 1)
13    #[rustfmt::skip]
14    const NONRESIDUE: Fq2 = field_new!(Fq2,
15        field_new!(Fq, "1"),
16        field_new!(Fq, "1"),
17    );
18
19    #[rustfmt::skip]
20    const FROBENIUS_COEFF_FP6_C1: &'static [Fq2] = &[
21        // Fp2::NONRESIDUE^(((q^0) - 1) / 3)
22        field_new!(Fq2, 
23            field_new!(Fq, "1"),
24            field_new!(Fq, "0"),
25        ),
26        // Fp2::NONRESIDUE^(((q^1) - 1) / 3)
27        field_new!(Fq2, 
28            field_new!(Fq, "0"),
29            field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
30        ),
31        // Fp2::NONRESIDUE^(((q^2) - 1) / 3)
32        field_new!(Fq2, 
33            field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
34            field_new!(Fq, "0"),
35        ),
36        // Fp2::NONRESIDUE^(((q^3) - 1) / 3)
37        field_new!(Fq2, 
38            field_new!(Fq, "0"),
39            field_new!(Fq, "1"),
40        ),
41        // Fp2::NONRESIDUE^(((q^4) - 1) / 3)
42        field_new!(Fq2, 
43            field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
44            field_new!(Fq, "0"),
45        ),
46        // Fp2::NONRESIDUE^(((q^5) - 1) / 3)
47        field_new!(Fq2, 
48            field_new!(Fq, "0"),
49            field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
50        ),
51];
52
53    #[rustfmt::skip]
54    const FROBENIUS_COEFF_FP6_C2: &'static [Fq2] = &[
55        // Fq2(u + 1)**(((2q^0) - 2) / 3)
56        field_new!(Fq2,
57            field_new!(Fq, "1"),
58            field_new!(Fq, "0"),
59        ),
60        // Fq2(u + 1)**(((2q^1) - 2) / 3)
61        field_new!(Fq2,
62            field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437"),
63            field_new!(Fq, "0"),
64        ),
65        // Fq2(u + 1)**(((2q^2) - 2) / 3)
66        field_new!(Fq2,
67            field_new!(Fq, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),
68            field_new!(Fq, "0"),
69        ),
70        // Fq2(u + 1)**(((2q^3) - 2) / 3)
71        field_new!(Fq2,
72            field_new!(Fq, "-1"),
73            field_new!(Fq, "0"),
74        ),
75        // Fq2(u + 1)**(((2q^4) - 2) / 3)
76        field_new!(Fq2,
77            field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),
78            field_new!(Fq, "0"),
79        ),
80        // Fq2(u + 1)**(((2q^5) - 2) / 3)
81        field_new!(Fq2,
82            field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351"),
83            field_new!(Fq, "0"),
84        ),
85    ];
86
87    /// Multiply this element by the quadratic nonresidue 1 + u.
88    /// Make this generic.
89    fn mul_fp2_by_nonresidue(fe: &Fq2) -> Fq2 {
90        let mut copy = *fe;
91        let t0 = copy.c0;
92        copy.c0 -= &fe.c1;
93        copy.c1 += &t0;
94        copy
95    }
96}