use super::*;
use ark_ff::{biginteger::BigInteger384 as BigInteger, field_new, fields::*};

pub type Fq2 = Fp2<Fq2Parameters>;

pub struct Fq2Parameters;

impl Fp2Parameters for Fq2Parameters {
    type Fp = Fq;

    /// NONRESIDUE = -5
    #[rustfmt::skip]
    const NONRESIDUE: Fq = field_new!(Fq, BigInteger([
        0xfc0b8000000002fa,
        0x97d39cf6e000018b,
        0x2072420fbfa05044,
        0xcbbcbd50d97c3802,
        0xbaf1ec35813f9eb,
        0x9974a2c0945ad2,
    ]));

    /// QUADRATIC_NONRESIDUE = U
    #[rustfmt::skip]
    const QUADRATIC_NONRESIDUE: (Fq, Fq) = (
        field_new!(Fq, BigInteger([0, 0, 0, 0, 0, 0])),
        field_new!(Fq, BigInteger([
            202099033278250856u64,
            5854854902718660529u64,
            11492539364873682930u64,
            8885205928937022213u64,
            5545221690922665192u64,
            39800542322357402u64,
        ])),
    );

    /// Coefficients for the Frobenius automorphism.
    #[rustfmt::skip]
    const FROBENIUS_COEFF_FP2_C1: &'static [Fq] = &[
        // NONRESIDUE**(((q^0) - 1) / 2)
        field_new!(Fq, BigInteger([
            0x2cdffffffffff68,
            0x51409f837fffffb1,
            0x9f7db3a98a7d3ff2,
            0x7b4e97b76e7c6305,
            0x4cf495bf803c84e8,
            0x8d6661e2fdf49a,
        ])),
        // NONRESIDUE**(((q^1) - 1) / 2)
        field_new!(Fq, BigInteger([
            0x823ac00000000099,
            0xc5cabdc0b000004f,
            0x7f75ae862f8c080d,
            0x9ed4423b9278b089,
            0x79467000ec64c452,
            0x120d3e434c71c50,
        ])),
    ];

    #[inline(always)]
    fn mul_fp_by_nonresidue(fe: &Self::Fp) -> Self::Fp {
        let original = fe;
        let mut fe = -fe.double();
        fe.double_in_place();
        fe - original
    }
}

pub const FQ2_ZERO: Fq2 = field_new!(Fq2, FQ_ZERO, FQ_ZERO);
pub const FQ2_ONE: Fq2 = field_new!(Fq2, FQ_ONE, FQ_ZERO);