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69 lines
1.9 KiB
69 lines
1.9 KiB
use super::*;
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use ark_ff::{biginteger::BigInteger384 as BigInteger, field_new, fields::*};
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pub type Fq2 = Fp2<Fq2Parameters>;
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pub struct Fq2Parameters;
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impl Fp2Parameters for Fq2Parameters {
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type Fp = Fq;
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/// NONRESIDUE = -5
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#[rustfmt::skip]
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const NONRESIDUE: Fq = field_new!(Fq, BigInteger([
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0xfc0b8000000002fa,
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0x97d39cf6e000018b,
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0x2072420fbfa05044,
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0xcbbcbd50d97c3802,
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0xbaf1ec35813f9eb,
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0x9974a2c0945ad2,
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]));
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/// QUADRATIC_NONRESIDUE = U
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#[rustfmt::skip]
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const QUADRATIC_NONRESIDUE: (Fq, Fq) = (
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field_new!(Fq, BigInteger([0, 0, 0, 0, 0, 0])),
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field_new!(Fq, BigInteger([
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202099033278250856u64,
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5854854902718660529u64,
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11492539364873682930u64,
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8885205928937022213u64,
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5545221690922665192u64,
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39800542322357402u64,
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])),
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);
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/// Coefficients for the Frobenius automorphism.
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#[rustfmt::skip]
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const FROBENIUS_COEFF_FP2_C1: &'static [Fq] = &[
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// NONRESIDUE**(((q^0) - 1) / 2)
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field_new!(Fq, BigInteger([
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0x2cdffffffffff68,
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0x51409f837fffffb1,
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0x9f7db3a98a7d3ff2,
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0x7b4e97b76e7c6305,
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0x4cf495bf803c84e8,
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0x8d6661e2fdf49a,
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])),
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// NONRESIDUE**(((q^1) - 1) / 2)
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field_new!(Fq, BigInteger([
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0x823ac00000000099,
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0xc5cabdc0b000004f,
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0x7f75ae862f8c080d,
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0x9ed4423b9278b089,
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0x79467000ec64c452,
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0x120d3e434c71c50,
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])),
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];
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#[inline(always)]
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fn mul_fp_by_nonresidue(fe: &Self::Fp) -> Self::Fp {
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let original = fe;
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let mut fe = -fe.double();
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fe.double_in_place();
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fe - original
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}
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}
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pub const FQ2_ZERO: Fq2 = field_new!(Fq2, FQ_ZERO, FQ_ZERO);
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pub const FQ2_ONE: Fq2 = field_new!(Fq2, FQ_ONE, FQ_ZERO);
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