1use ark_ff::{
  2    biginteger::{BigInt, BigInteger384 as BigInteger},
  3    field_new,
  4    fields::{FftParameters, Fp384, Fp384Parameters, FpParameters},
  5};
  6
  7pub type Fq = Fp384<FqParameters>;
  8
  9pub struct FqParameters;
 10
 11impl Fp384Parameters for FqParameters {}
 12impl FftParameters for FqParameters {
 13    type BigInt = BigInteger;
 14
 15    const TWO_ADICITY: u32 = 1;
 16
 17    #[rustfmt::skip]
 18    const TWO_ADIC_ROOT_OF_UNITY: BigInteger = BigInt::new([
 19        0x43f5fffffffcaaae,
 20        0x32b7fff2ed47fffd,
 21        0x7e83a49a2e99d69,
 22        0xeca8f3318332bb7a,
 23        0xef148d1ea0f4c069,
 24        0x40ab3263eff0206,
 25    ]);
 26}
 27impl FpParameters for FqParameters {
 28    /// MODULUS = 4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559787
 29    #[rustfmt::skip]
 30    const MODULUS: BigInteger = BigInt::new([
 31        0xb9feffffffffaaab,
 32        0x1eabfffeb153ffff,
 33        0x6730d2a0f6b0f624,
 34        0x64774b84f38512bf,
 35        0x4b1ba7b6434bacd7,
 36        0x1a0111ea397fe69a,
 37    ]);
 38
 39    const MODULUS_BITS: u32 = 381;
 40
 41    const CAPACITY: u32 = Self::MODULUS_BITS - 1;
 42
 43    const REPR_SHAVE_BITS: u32 = 3;
 44
 45    /// R = 3380320199399472671518931668520476396067793891014375699959770179129436917079669831430077592723774664465579537268733
 46    #[rustfmt::skip]
 47    const R: BigInteger = BigInt::new([
 48        0x760900000002fffd,
 49        0xebf4000bc40c0002,
 50        0x5f48985753c758ba,
 51        0x77ce585370525745,
 52        0x5c071a97a256ec6d,
 53        0x15f65ec3fa80e493,
 54    ]);
 55
 56    #[rustfmt::skip]
 57    const R2: BigInteger = BigInt::new([
 58        0xf4df1f341c341746,
 59        0xa76e6a609d104f1,
 60        0x8de5476c4c95b6d5,
 61        0x67eb88a9939d83c0,
 62        0x9a793e85b519952d,
 63        0x11988fe592cae3aa,
 64    ]);
 65
 66    const INV: u64 = 0x89f3fffcfffcfffd;
 67
 68    /// GENERATOR = 2
 69    /// Encoded in Montgomery form, so the value is
 70    /// 2 * R % q = 2758230843577277949620073511305048635578704962089743514587482222134842183668501798417467556318533664893264801977679
 71    #[rustfmt::skip]
 72    const GENERATOR: BigInteger = BigInt::new([
 73        0x321300000006554f,
 74        0xb93c0018d6c40005,
 75        0x57605e0db0ddbb51,
 76        0x8b256521ed1f9bcb,
 77        0x6cf28d7901622c03,
 78        0x11ebab9dbb81e28c,
 79    ]);
 80
 81    #[rustfmt::skip]
 82    const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInt::new([
 83        0xdcff7fffffffd555,
 84        0xf55ffff58a9ffff,
 85        0xb39869507b587b12,
 86        0xb23ba5c279c2895f,
 87        0x258dd3db21a5d66b,
 88        0xd0088f51cbff34d,
 89    ]);
 90
 91    /// T and T_MINUS_ONE_DIV_TWO, where MODULUS - 1 = 2^S * T
 92    /// For T coprime to 2
 93    #[rustfmt::skip]
 94    const T: BigInteger = BigInt::new([
 95        0xdcff7fffffffd555,
 96        0xf55ffff58a9ffff,
 97        0xb39869507b587b12,
 98        0xb23ba5c279c2895f,
 99        0x258dd3db21a5d66b,
100        0xd0088f51cbff34d,
101    ]);
102
103    #[rustfmt::skip]
104    const T_MINUS_ONE_DIV_TWO: BigInteger = BigInt::new([
105        0xee7fbfffffffeaaa,
106        0x7aaffffac54ffff,
107        0xd9cc34a83dac3d89,
108        0xd91dd2e13ce144af,
109        0x92c6e9ed90d2eb35,
110        0x680447a8e5ff9a6,
111    ]);
112}
113
114pub const FQ_ONE: Fq = field_new!(Fq, "1");
115pub const FQ_ZERO: Fq = field_new!(Fq, "0");