barretenberg
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fq.hpp
1#pragma once
2
3#include <cstdint>
4#include <iomanip>
5
6#include "../../fields/field.hpp"
7
8// NOLINTBEGIN(cppcoreguidelines-avoid-c-arrays)
9namespace barretenberg {
10class Bn254FqParams {
11 public:
12 static constexpr uint64_t modulus_0 = 0x3C208C16D87CFD47UL;
13 static constexpr uint64_t modulus_1 = 0x97816a916871ca8dUL;
14 static constexpr uint64_t modulus_2 = 0xb85045b68181585dUL;
15 static constexpr uint64_t modulus_3 = 0x30644e72e131a029UL;
16
17 static constexpr uint64_t r_squared_0 = 0xF32CFC5B538AFA89UL;
18 static constexpr uint64_t r_squared_1 = 0xB5E71911D44501FBUL;
19 static constexpr uint64_t r_squared_2 = 0x47AB1EFF0A417FF6UL;
20 static constexpr uint64_t r_squared_3 = 0x06D89F71CAB8351FUL;
21
22 static constexpr uint64_t cube_root_0 = 0x71930c11d782e155UL;
23 static constexpr uint64_t cube_root_1 = 0xa6bb947cffbe3323UL;
24 static constexpr uint64_t cube_root_2 = 0xaa303344d4741444UL;
25 static constexpr uint64_t cube_root_3 = 0x2c3b3f0d26594943UL;
26
27 static constexpr uint64_t primitive_root_0 = 0UL;
28 static constexpr uint64_t primitive_root_1 = 0UL;
29 static constexpr uint64_t primitive_root_2 = 0UL;
30 static constexpr uint64_t primitive_root_3 = 0UL;
31
32 static constexpr uint64_t endo_g1_lo = 0x7a7bd9d4391eb18d;
33 static constexpr uint64_t endo_g1_mid = 0x4ccef014a773d2cfUL;
34 static constexpr uint64_t endo_g1_hi = 0x0000000000000002UL;
35 static constexpr uint64_t endo_g2_lo = 0xd91d232ec7e0b3d2UL;
36 static constexpr uint64_t endo_g2_mid = 0x0000000000000002UL;
37 static constexpr uint64_t endo_minus_b1_lo = 0x8211bbeb7d4f1129UL;
38 static constexpr uint64_t endo_minus_b1_mid = 0x6f4d8248eeb859fcUL;
39 static constexpr uint64_t endo_b2_lo = 0x89d3256894d213e2UL;
40 static constexpr uint64_t endo_b2_mid = 0UL;
41
42 static constexpr uint64_t r_inv = 0x87d20782e4866389UL;
43
44 static constexpr uint64_t coset_generators_0[8]{
45 0x7a17caa950ad28d7ULL, 0x4d750e37163c3674ULL, 0x20d251c4dbcb4411ULL, 0xf42f9552a15a51aeULL,
46 0x4f4bc0b2b5ef64bdULL, 0x22a904407b7e725aULL, 0xf60647ce410d7ff7ULL, 0xc9638b5c069c8d94ULL,
47 };
48 static constexpr uint64_t coset_generators_1[8]{
49 0x1f6ac17ae15521b9ULL, 0x29e3aca3d71c2cf7ULL, 0x345c97cccce33835ULL, 0x3ed582f5c2aa4372ULL,
50 0x1a4b98fbe78db996ULL, 0x24c48424dd54c4d4ULL, 0x2f3d6f4dd31bd011ULL, 0x39b65a76c8e2db4fULL,
51 };
52 static constexpr uint64_t coset_generators_2[8]{
53 0x334bea4e696bd284ULL, 0x99ba8dbde1e518b0ULL, 0x29312d5a5e5edcULL, 0x6697d49cd2d7a508ULL,
54 0x5c65ec9f484e3a79ULL, 0xc2d4900ec0c780a5ULL, 0x2943337e3940c6d1ULL, 0x8fb1d6edb1ba0cfdULL,
55 };
56 static constexpr uint64_t coset_generators_3[8]{
57 0x2a1f6744ce179d8eULL, 0x3829df06681f7cbdULL, 0x463456c802275bedULL, 0x543ece899c2f3b1cULL,
58 0x180a96573d3d9f8ULL, 0xf8b21270ddbb927ULL, 0x1d9598e8a7e39857ULL, 0x2ba010aa41eb7786ULL,
59 };
60 // used in msgpack schema serialization
61 static constexpr char schema_name[] = "fq";
62 static constexpr bool has_high_2adicity = false;
63};
64
65using fq = field<Bn254FqParams>;
66
67} // namespace barretenberg
68
69// NOLINTEND(cppcoreguidelines-avoid-c-arrays)
barretenberg::Bn254FqParams
Definition: fq.hpp:10
barretenberg
constexpr_utils defines some helper methods that perform some stl-equivalent operations but in a cons...
Definition: constexpr_utils.hpp:16
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