1use ark_ff::{biginteger::BigInteger256 as BigInteger, fields::*};
 2
 3pub type Fr = Fp256<FrParameters>;
 4
 5pub struct FrParameters;
 6
 7impl Fp256Parameters for FrParameters {}
 8impl FftParameters for FrParameters {
 9    type BigInt = BigInteger;
10
11    const TWO_ADICITY: u32 = 47;
12
13    #[rustfmt::skip]
14    const TWO_ADIC_ROOT_OF_UNITY: BigInteger = BigInteger([
15        0x3c3d3ca739381fb2,
16        0x9a14cda3ec99772b,
17        0xd7aacc7c59724826,
18        0xd1ba211c5cc349c,
19    ]);
20}
21impl FpParameters for FrParameters {
22    /// MODULUS = 8444461749428370424248824938781546531375899335154063827935233455917409239041
23    #[rustfmt::skip]
24    const MODULUS: BigInteger = BigInteger([
25        725501752471715841u64,
26        6461107452199829505u64,
27        6968279316240510977u64,
28        1345280370688173398u64,
29    ]);
30
31    const MODULUS_BITS: u32 = 253;
32
33    const CAPACITY: u32 = Self::MODULUS_BITS - 1;
34
35    const REPR_SHAVE_BITS: u32 = 3;
36
37    #[rustfmt::skip]
38    const R: BigInteger = BigInteger([
39        9015221291577245683u64,
40        8239323489949974514u64,
41        1646089257421115374u64,
42        958099254763297437u64,
43    ]);
44
45    #[rustfmt::skip]
46    const R2: BigInteger = BigInteger([
47        2726216793283724667u64,
48        14712177743343147295u64,
49        12091039717619697043u64,
50        81024008013859129u64,
51    ]);
52
53    const INV: u64 = 725501752471715839u64;
54
55    // GENERATOR = 11
56    #[rustfmt::skip]
57    const GENERATOR: BigInteger = BigInteger([
58        1855201571499933546u64,
59        8511318076631809892u64,
60        6222514765367795509u64,
61        1122129207579058019u64,
62    ]);
63
64    /// (r - 1)/2 =
65    /// 4222230874714185212124412469390773265687949667577031913967616727958704619520
66    #[rustfmt::skip]
67    const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
68        0x8508c00000000000,
69        0xacd53b7f68000000,
70        0x305a268f2e1bd800,
71        0x955b2af4d1652ab,
72    ]);
73
74    // T and T_MINUS_ONE_DIV_TWO, where r - 1 = 2^s * t
75
76    /// t = (r - 1) / 2^s =
77    /// 60001509534603559531609739528203892656505753216962260608619555
78    #[rustfmt::skip]
79    const T: BigInteger = BigInteger([
80        0xedfda00000021423,
81        0x9a3cb86f6002b354,
82        0xcabd34594aacc168,
83        0x2556,
84    ]);
85
86    /// (t - 1) / 2 =
87    /// 30000754767301779765804869764101946328252876608481130304309777
88    #[rustfmt::skip]
89    const T_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
90        0x76fed00000010a11,
91        0x4d1e5c37b00159aa,
92        0x655e9a2ca55660b4,
93        0x12ab,
94    ]);
95}