1use super::*;
 2use ark_ff::{field_new, fields::*};
 3
 4pub type Fq2 = Fp2<Fq2Parameters>;
 5
 6pub struct Fq2Parameters;
 7
 8impl Fp2Parameters for Fq2Parameters {
 9    type Fp = Fq;
10
11    /// NONRESIDUE = -1
12    #[rustfmt::skip]
13    const NONRESIDUE: Fq = field_new!(Fq, "-1");
14
15    /// QUADRATIC_NONRESIDUE = U+2
16    #[rustfmt::skip]
17    const QUADRATIC_NONRESIDUE: (Fq, Fq) = (
18        field_new!(Fq, "2"),
19        field_new!(Fq, "1"),
20    );
21
22    /// Coefficients for the Frobenius automorphism.
23    #[rustfmt::skip]
24    const FROBENIUS_COEFF_FP2_C1: &'static [Fq] = &[
25        // NONRESIDUE**(((q^0) - 1) / 2)
26        field_new!(Fq, "1"),
27        // NONRESIDUE**(((q^1) - 1) / 2)
28        field_new!(Fq, "-1"),
29    ];
30
31    #[inline(always)]
32    fn mul_fp_by_nonresidue(fe: &Self::Fp) -> Self::Fp {
33        -(*fe)
34    }
35
36    // x + -1 * y, computed as x - y
37    #[inline(always)]
38    fn add_and_mul_fp_by_nonresidue(x: &Self::Fp, y: &Self::Fp) -> Self::Fp {
39        *x - y
40    }
41
42    // x - (-1 * y), computed as x + y
43    #[inline(always)]
44    fn sub_and_mul_fp_by_nonresidue(x: &Self::Fp, y: &Self::Fp) -> Self::Fp {
45        *x + y
46    }
47}
48
49pub const FQ2_ZERO: Fq2 = field_new!(Fq2, FQ_ZERO, FQ_ZERO);
50pub const FQ2_ONE: Fq2 = field_new!(Fq2, FQ_ONE, FQ_ZERO);