ark-curves-cherry-picked/bls12_381/src/fields/fq.rs
bls12_381/src/fields/fq.rsRaw
1use ark_ff::{
2 biginteger::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 = BigInteger([
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 = BigInteger([
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 #[rustfmt::skip]
46 const R: BigInteger = BigInteger([
47 0x760900000002fffd,
48 0xebf4000bc40c0002,
49 0x5f48985753c758ba,
50 0x77ce585370525745,
51 0x5c071a97a256ec6d,
52 0x15f65ec3fa80e493,
53 ]);
54
55 #[rustfmt::skip]
56 const R2: BigInteger = BigInteger([
57 0xf4df1f341c341746,
58 0xa76e6a609d104f1,
59 0x8de5476c4c95b6d5,
60 0x67eb88a9939d83c0,
61 0x9a793e85b519952d,
62 0x11988fe592cae3aa,
63 ]);
64
65 const INV: u64 = 0x89f3fffcfffcfffd;
66
67 // GENERATOR = 2
68 #[rustfmt::skip]
69 const GENERATOR: BigInteger = BigInteger([
70 0x321300000006554f,
71 0xb93c0018d6c40005,
72 0x57605e0db0ddbb51,
73 0x8b256521ed1f9bcb,
74 0x6cf28d7901622c03,
75 0x11ebab9dbb81e28c,
76 ]);
77
78 #[rustfmt::skip]
79 const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
80 0xdcff7fffffffd555,
81 0xf55ffff58a9ffff,
82 0xb39869507b587b12,
83 0xb23ba5c279c2895f,
84 0x258dd3db21a5d66b,
85 0xd0088f51cbff34d,
86 ]);
87
88 // T and T_MINUS_ONE_DIV_TWO, where MODULUS - 1 = 2^S * T
89
90 #[rustfmt::skip]
91 const T: BigInteger = BigInteger([
92 0xdcff7fffffffd555,
93 0xf55ffff58a9ffff,
94 0xb39869507b587b12,
95 0xb23ba5c279c2895f,
96 0x258dd3db21a5d66b,
97 0xd0088f51cbff34d,
98 ]);
99
100 #[rustfmt::skip]
101 const T_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
102 0xee7fbfffffffeaaa,
103 0x7aaffffac54ffff,
104 0xd9cc34a83dac3d89,
105 0xd91dd2e13ce144af,
106 0x92c6e9ed90d2eb35,
107 0x680447a8e5ff9a6,
108 ]);
109}
110
111pub const FQ_ONE: Fq = field_new!(Fq, FqParameters::R);
112pub const FQ_ZERO: Fq = field_new!(Fq, BigInteger([0, 0, 0, 0, 0, 0]));