1use crate::*;
 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 + 1)
16    #[rustfmt::skip]
17    const QUADRATIC_NONRESIDUE: (Fq, Fq) = (FQ_ONE, FQ_ONE);
18
19    /// Coefficients for the Frobenius automorphism.
20    #[rustfmt::skip]
21    const FROBENIUS_COEFF_FP2_C1: &'static [Fq] = &[
22        // Fq(-1)**(((q^0) - 1) / 2)
23        field_new!(Fq, "1"),
24        // Fq(-1)**(((q^1) - 1) / 2)
25        field_new!(Fq, "-1"),
26    ];
27
28    #[inline(always)]
29    fn mul_fp_by_nonresidue(fp: &Self::Fp) -> Self::Fp {
30        -(*fp)
31    }
32
33    // x + -1 * y, computed as x - y
34    #[inline(always)]
35    fn add_and_mul_fp_by_nonresidue(x: &Self::Fp, y: &Self::Fp) -> Self::Fp {
36        *x - y
37    }
38
39    // x - (-1 * y), computed as x + y
40    #[inline(always)]
41    fn sub_and_mul_fp_by_nonresidue(x: &Self::Fp, y: &Self::Fp) -> Self::Fp {
42        *x + y
43    }
44}
45
46pub const FQ2_ZERO: Fq2 = field_new!(Fq2, FQ_ZERO, FQ_ZERO);
47pub const FQ2_ONE: Fq2 = field_new!(Fq2, FQ_ONE, FQ_ZERO);