#include <secp256r1.hpp>

Static Public Attributes
static constexpr const char *	schema_name = "secp256r1_fr"

static constexpr uint64_t	modulus_0 = 0xF3B9CAC2FC632551ULL

static constexpr uint64_t	modulus_1 = 0xBCE6FAADA7179E84ULL

static constexpr uint64_t	modulus_2 = 0xFFFFFFFFFFFFFFFFULL

static constexpr uint64_t	modulus_3 = 0xFFFFFFFF00000000ULL

static constexpr uint64_t	r_squared_0 = 9449762124159643298ULL

static constexpr uint64_t	r_squared_1 = 5087230966250696614ULL

static constexpr uint64_t	r_squared_2 = 2901921493521525849ULL

static constexpr uint64_t	r_squared_3 = 7413256579398063648ULL

static constexpr uint64_t	r_inv = 14758798090332847183ULL

static constexpr uint64_t	r_inv_0 = 0x230102a06d6251dcUL

static constexpr uint64_t	r_inv_1 = 0xca5113bcafc4ea28UL

static constexpr uint64_t	r_inv_2 = 0xded10c5bee00bc4eUL

static constexpr uint64_t	r_inv_3 = 0xccd1c8aa212ef3a4UL

static constexpr uint64_t	r_inv_wasm_0 = 0x8517c79

static constexpr uint64_t	r_inv_wasm_1 = 0x1edc694

static constexpr uint64_t	r_inv_wasm_2 = 0x459ee5c

static constexpr uint64_t	r_inv_wasm_3 = 0x705a6a8

static constexpr uint64_t	r_inv_wasm_4 = 0x1ffffe2a

static constexpr uint64_t	r_inv_wasm_5 = 0x113bffff

static constexpr uint64_t	r_inv_wasm_6 = 0x1621c017

static constexpr uint64_t	r_inv_wasm_7 = 0xef1ff43

static constexpr uint64_t	r_inv_wasm_8 = 0x7005e2

static constexpr uint64_t	coset_generators_0 [8]

static constexpr uint64_t	coset_generators_1 [8]

static constexpr uint64_t	coset_generators_2 [8]

static constexpr uint64_t	coset_generators_3 [8]

static constexpr uint64_t	cube_root_0 = 0UL

static constexpr uint64_t	cube_root_1 = 0UL

static constexpr uint64_t	cube_root_2 = 0UL

static constexpr uint64_t	cube_root_3 = 0UL

static constexpr uint64_t	primitive_root_0 = 0UL

static constexpr uint64_t	primitive_root_1 = 0UL

static constexpr uint64_t	primitive_root_2 = 0UL

static constexpr uint64_t	primitive_root_3 = 0UL

static constexpr uint64_t	modulus_wasm_0 = 0x1c632551

static constexpr uint64_t	modulus_wasm_1 = 0x1dce5617

static constexpr uint64_t	modulus_wasm_2 = 0x5e7a13c

static constexpr uint64_t	modulus_wasm_3 = 0xdf55b4e

static constexpr uint64_t	modulus_wasm_4 = 0x1ffffbce

static constexpr uint64_t	modulus_wasm_5 = 0x1fffffff

static constexpr uint64_t	modulus_wasm_6 = 0x3ffff

static constexpr uint64_t	modulus_wasm_7 = 0x1fe00000

static constexpr uint64_t	modulus_wasm_8 = 0xffffff

static constexpr uint64_t	r_squared_wasm_0 = 0x45e9cfeeb48d9ef5UL

static constexpr uint64_t	r_squared_wasm_1 = 0x1f11fc5bb2d31a99UL

static constexpr uint64_t	r_squared_wasm_2 = 0x16c8e4adafb16586UL

static constexpr uint64_t	r_squared_wasm_3 = 0x84b6556a65587f06UL

static constexpr uint64_t	cube_root_wasm_0 = 0x0000000000000000UL

static constexpr uint64_t	cube_root_wasm_1 = 0x0000000000000000UL

static constexpr uint64_t	cube_root_wasm_2 = 0x0000000000000000UL

static constexpr uint64_t	cube_root_wasm_3 = 0x0000000000000000UL

static constexpr uint64_t	primitive_root_wasm_0 = 0x0000000000000000UL

static constexpr uint64_t	primitive_root_wasm_1 = 0x0000000000000000UL

static constexpr uint64_t	primitive_root_wasm_2 = 0x0000000000000000UL

static constexpr uint64_t	primitive_root_wasm_3 = 0x0000000000000000UL

static constexpr uint64_t	coset_generators_wasm_0 [8]

static constexpr uint64_t	coset_generators_wasm_1 [8]

static constexpr uint64_t	coset_generators_wasm_2 [8]

static constexpr uint64_t	coset_generators_wasm_3 [8]

static constexpr size_t	PUBLIC_INPUTS_SIZE = BIGFIELD_PUBLIC_INPUTS_SIZE

Detailed Description

Definition at line 144 of file secp256r1.hpp.

Member Data Documentation

◆ coset_generators_0

constexpr uint64_t bb::secp256r1::FrParams::coset_generators_0[8]

staticconstexpr

Initial value:

{
        0x55eb74ab1949fac9ULL, 0x6231a9e81ce6d578ULL, 0x6e77df252083b027ULL, 0x7abe146224208ad6ULL,
        0x8704499f27bd6585ULL, 0x934a7edc2b5a4034ULL, 0x9f90b4192ef71ae3ULL, 0xabd6e9563293f592ULL,
    }

Definition at line 190 of file secp256r1.hpp.

◆ coset_generators_1

constexpr uint64_t bb::secp256r1::FrParams::coset_generators_1[8]

staticconstexpr

Initial value:

{
        0xd5af25406e5aaa5dULL, 0x18c82a92c7430bd8ULL, 0x5be12fe5202b6d53ULL, 0x9efa35377913ceceULL,
        0xe2133a89d1fc3049ULL, 0x252c3fdc2ae491c4ULL, 0x6845452e83ccf33fULL, 0xab5e4a80dcb554baULL,
    }

Definition at line 194 of file secp256r1.hpp.

◆ coset_generators_2

constexpr uint64_t bb::secp256r1::FrParams::coset_generators_2[8]

staticconstexpr

Initial value:

{
        0x1ULL, 0x2ULL, 0x2ULL, 0x2ULL, 0x2ULL, 0x3ULL, 0x3ULL, 0x3ULL,
    }

Definition at line 198 of file secp256r1.hpp.

◆ coset_generators_3

constexpr uint64_t bb::secp256r1::FrParams::coset_generators_3[8]

staticconstexpr

Initial value:

{
        0x6fffffff9ULL, 0x7fffffff8ULL, 0x8fffffff7ULL, 0x9fffffff6ULL,
        0xafffffff5ULL, 0xbfffffff4ULL, 0xcfffffff3ULL, 0xdfffffff2ULL,
    }

Definition at line 201 of file secp256r1.hpp.

◆ coset_generators_wasm_0

constexpr uint64_t bb::secp256r1::FrParams::coset_generators_wasm_0[8]

staticconstexpr

Initial value:

= { 0xbd6e9563293f5920ULL, 0x46353d039cdaaf00ULL,
                                                             0xcefbe4a4107604e0ULL, 0x57c28c4484115ac0ULL,
                                                             0xe08933e4f7acb0a0ULL, 0x694fdb856b480680ULL,
                                                             0xf2168325dee35c60ULL, 0x7add2ac6527eb240ULL }

Definition at line 251 of file secp256r1.hpp.

◆ coset_generators_wasm_1

constexpr uint64_t bb::secp256r1::FrParams::coset_generators_wasm_1[8]

staticconstexpr

Initial value:

= { 0xb5e4a80dcb554baaULL, 0x19055258e8617b0cULL,
                                                             0x7c25fca4056daa6dULL, 0xdf46a6ef2279d9cfULL,
                                                             0x4267513a3f860930ULL, 0xa587fb855c923892ULL,
                                                             0x08a8a5d0799e67f3ULL, 0x6bc9501b96aa9755ULL }

Definition at line 255 of file secp256r1.hpp.

◆ coset_generators_wasm_2

constexpr uint64_t bb::secp256r1::FrParams::coset_generators_wasm_2[8]

staticconstexpr

Initial value:

= { 0x000000000000003aULL, 0x0000000000000043ULL,
                                                             0x000000000000004bULL, 0x0000000000000053ULL,
                                                             0x000000000000005cULL, 0x0000000000000064ULL,
                                                             0x000000000000006dULL, 0x0000000000000075ULL }

Definition at line 259 of file secp256r1.hpp.

◆ coset_generators_wasm_3

constexpr uint64_t bb::secp256r1::FrParams::coset_generators_wasm_3[8]

staticconstexpr

Initial value:

= { 0x000000dfffffff20ULL, 0x000000ffffffff00ULL,
                                                             0x0000011ffffffee0ULL, 0x0000013ffffffec0ULL,
                                                             0x0000015ffffffea0ULL, 0x0000017ffffffe80ULL,
                                                             0x0000019ffffffe60ULL, 0x000001bffffffe40ULL }

Definition at line 263 of file secp256r1.hpp.

◆ cube_root_0

constexpr uint64_t bb::secp256r1::FrParams::cube_root_0 = 0UL

staticconstexpr

Definition at line 207 of file secp256r1.hpp.

◆ cube_root_1

constexpr uint64_t bb::secp256r1::FrParams::cube_root_1 = 0UL

staticconstexpr

Definition at line 208 of file secp256r1.hpp.

◆ cube_root_2

constexpr uint64_t bb::secp256r1::FrParams::cube_root_2 = 0UL

staticconstexpr

Definition at line 209 of file secp256r1.hpp.

◆ cube_root_3

constexpr uint64_t bb::secp256r1::FrParams::cube_root_3 = 0UL

staticconstexpr

Definition at line 210 of file secp256r1.hpp.

◆ cube_root_wasm_0

constexpr uint64_t bb::secp256r1::FrParams::cube_root_wasm_0 = 0x0000000000000000UL

staticconstexpr

Definition at line 238 of file secp256r1.hpp.

◆ cube_root_wasm_1

constexpr uint64_t bb::secp256r1::FrParams::cube_root_wasm_1 = 0x0000000000000000UL

staticconstexpr

Definition at line 239 of file secp256r1.hpp.

◆ cube_root_wasm_2

constexpr uint64_t bb::secp256r1::FrParams::cube_root_wasm_2 = 0x0000000000000000UL

staticconstexpr

Definition at line 240 of file secp256r1.hpp.

◆ cube_root_wasm_3

constexpr uint64_t bb::secp256r1::FrParams::cube_root_wasm_3 = 0x0000000000000000UL

staticconstexpr

Definition at line 241 of file secp256r1.hpp.

◆ modulus_0

constexpr uint64_t bb::secp256r1::FrParams::modulus_0 = 0xF3B9CAC2FC632551ULL

staticconstexpr

Definition at line 148 of file secp256r1.hpp.

◆ modulus_1

constexpr uint64_t bb::secp256r1::FrParams::modulus_1 = 0xBCE6FAADA7179E84ULL

staticconstexpr

Definition at line 149 of file secp256r1.hpp.

◆ modulus_2

constexpr uint64_t bb::secp256r1::FrParams::modulus_2 = 0xFFFFFFFFFFFFFFFFULL

staticconstexpr

Definition at line 150 of file secp256r1.hpp.

◆ modulus_3

constexpr uint64_t bb::secp256r1::FrParams::modulus_3 = 0xFFFFFFFF00000000ULL

staticconstexpr

Definition at line 151 of file secp256r1.hpp.

◆ modulus_wasm_0

constexpr uint64_t bb::secp256r1::FrParams::modulus_wasm_0 = 0x1c632551

staticconstexpr

Definition at line 220 of file secp256r1.hpp.

◆ modulus_wasm_1

constexpr uint64_t bb::secp256r1::FrParams::modulus_wasm_1 = 0x1dce5617

staticconstexpr

Definition at line 221 of file secp256r1.hpp.

◆ modulus_wasm_2

constexpr uint64_t bb::secp256r1::FrParams::modulus_wasm_2 = 0x5e7a13c

staticconstexpr

Definition at line 222 of file secp256r1.hpp.

◆ modulus_wasm_3

constexpr uint64_t bb::secp256r1::FrParams::modulus_wasm_3 = 0xdf55b4e

staticconstexpr

Definition at line 223 of file secp256r1.hpp.

◆ modulus_wasm_4

constexpr uint64_t bb::secp256r1::FrParams::modulus_wasm_4 = 0x1ffffbce

staticconstexpr

Definition at line 224 of file secp256r1.hpp.

◆ modulus_wasm_5

constexpr uint64_t bb::secp256r1::FrParams::modulus_wasm_5 = 0x1fffffff

staticconstexpr

Definition at line 225 of file secp256r1.hpp.

◆ modulus_wasm_6

constexpr uint64_t bb::secp256r1::FrParams::modulus_wasm_6 = 0x3ffff

staticconstexpr

Definition at line 226 of file secp256r1.hpp.

◆ modulus_wasm_7

constexpr uint64_t bb::secp256r1::FrParams::modulus_wasm_7 = 0x1fe00000

staticconstexpr

Definition at line 227 of file secp256r1.hpp.

◆ modulus_wasm_8

constexpr uint64_t bb::secp256r1::FrParams::modulus_wasm_8 = 0xffffff

staticconstexpr

Definition at line 228 of file secp256r1.hpp.

◆ primitive_root_0

constexpr uint64_t bb::secp256r1::FrParams::primitive_root_0 = 0UL

staticconstexpr

Definition at line 213 of file secp256r1.hpp.

◆ primitive_root_1

constexpr uint64_t bb::secp256r1::FrParams::primitive_root_1 = 0UL

staticconstexpr

Definition at line 214 of file secp256r1.hpp.

◆ primitive_root_2

constexpr uint64_t bb::secp256r1::FrParams::primitive_root_2 = 0UL

staticconstexpr

Definition at line 215 of file secp256r1.hpp.

◆ primitive_root_3

constexpr uint64_t bb::secp256r1::FrParams::primitive_root_3 = 0UL

staticconstexpr

Definition at line 216 of file secp256r1.hpp.

◆ primitive_root_wasm_0

constexpr uint64_t bb::secp256r1::FrParams::primitive_root_wasm_0 = 0x0000000000000000UL

staticconstexpr

Definition at line 244 of file secp256r1.hpp.

◆ primitive_root_wasm_1

constexpr uint64_t bb::secp256r1::FrParams::primitive_root_wasm_1 = 0x0000000000000000UL

staticconstexpr

Definition at line 245 of file secp256r1.hpp.

◆ primitive_root_wasm_2

constexpr uint64_t bb::secp256r1::FrParams::primitive_root_wasm_2 = 0x0000000000000000UL

staticconstexpr

Definition at line 246 of file secp256r1.hpp.

◆ primitive_root_wasm_3

constexpr uint64_t bb::secp256r1::FrParams::primitive_root_wasm_3 = 0x0000000000000000UL

staticconstexpr

Definition at line 247 of file secp256r1.hpp.

◆ PUBLIC_INPUTS_SIZE

constexpr size_t bb::secp256r1::FrParams::PUBLIC_INPUTS_SIZE = BIGFIELD_PUBLIC_INPUTS_SIZE

staticconstexpr

Definition at line 270 of file secp256r1.hpp.

◆ r_inv

constexpr uint64_t bb::secp256r1::FrParams::r_inv = 14758798090332847183ULL

staticconstexpr

Definition at line 163 of file secp256r1.hpp.

◆ r_inv_0

constexpr uint64_t bb::secp256r1::FrParams::r_inv_0 = 0x230102a06d6251dcUL

staticconstexpr

Definition at line 169 of file secp256r1.hpp.

◆ r_inv_1

constexpr uint64_t bb::secp256r1::FrParams::r_inv_1 = 0xca5113bcafc4ea28UL

staticconstexpr

Definition at line 170 of file secp256r1.hpp.

◆ r_inv_2

constexpr uint64_t bb::secp256r1::FrParams::r_inv_2 = 0xded10c5bee00bc4eUL

staticconstexpr

Definition at line 171 of file secp256r1.hpp.

◆ r_inv_3

constexpr uint64_t bb::secp256r1::FrParams::r_inv_3 = 0xccd1c8aa212ef3a4UL

staticconstexpr

Definition at line 172 of file secp256r1.hpp.

◆ r_inv_wasm_0

constexpr uint64_t bb::secp256r1::FrParams::r_inv_wasm_0 = 0x8517c79

staticconstexpr

Definition at line 178 of file secp256r1.hpp.

◆ r_inv_wasm_1

constexpr uint64_t bb::secp256r1::FrParams::r_inv_wasm_1 = 0x1edc694

staticconstexpr

Definition at line 179 of file secp256r1.hpp.

◆ r_inv_wasm_2

constexpr uint64_t bb::secp256r1::FrParams::r_inv_wasm_2 = 0x459ee5c

staticconstexpr

Definition at line 180 of file secp256r1.hpp.

◆ r_inv_wasm_3

constexpr uint64_t bb::secp256r1::FrParams::r_inv_wasm_3 = 0x705a6a8

staticconstexpr

Definition at line 181 of file secp256r1.hpp.

◆ r_inv_wasm_4

constexpr uint64_t bb::secp256r1::FrParams::r_inv_wasm_4 = 0x1ffffe2a

staticconstexpr

Definition at line 182 of file secp256r1.hpp.

◆ r_inv_wasm_5

constexpr uint64_t bb::secp256r1::FrParams::r_inv_wasm_5 = 0x113bffff

staticconstexpr

Definition at line 183 of file secp256r1.hpp.

◆ r_inv_wasm_6

constexpr uint64_t bb::secp256r1::FrParams::r_inv_wasm_6 = 0x1621c017

staticconstexpr

Definition at line 184 of file secp256r1.hpp.

◆ r_inv_wasm_7

constexpr uint64_t bb::secp256r1::FrParams::r_inv_wasm_7 = 0xef1ff43

staticconstexpr

Definition at line 185 of file secp256r1.hpp.

◆ r_inv_wasm_8

constexpr uint64_t bb::secp256r1::FrParams::r_inv_wasm_8 = 0x7005e2

staticconstexpr

Definition at line 186 of file secp256r1.hpp.

◆ r_squared_0

constexpr uint64_t bb::secp256r1::FrParams::r_squared_0 = 9449762124159643298ULL

staticconstexpr

Definition at line 154 of file secp256r1.hpp.

◆ r_squared_1

constexpr uint64_t bb::secp256r1::FrParams::r_squared_1 = 5087230966250696614ULL

staticconstexpr

Definition at line 155 of file secp256r1.hpp.

◆ r_squared_2

constexpr uint64_t bb::secp256r1::FrParams::r_squared_2 = 2901921493521525849ULL

staticconstexpr

Definition at line 156 of file secp256r1.hpp.

◆ r_squared_3

constexpr uint64_t bb::secp256r1::FrParams::r_squared_3 = 7413256579398063648ULL

staticconstexpr

Definition at line 157 of file secp256r1.hpp.

◆ r_squared_wasm_0

constexpr uint64_t bb::secp256r1::FrParams::r_squared_wasm_0 = 0x45e9cfeeb48d9ef5UL

staticconstexpr

Definition at line 232 of file secp256r1.hpp.

◆ r_squared_wasm_1

constexpr uint64_t bb::secp256r1::FrParams::r_squared_wasm_1 = 0x1f11fc5bb2d31a99UL

staticconstexpr

Definition at line 233 of file secp256r1.hpp.

◆ r_squared_wasm_2

constexpr uint64_t bb::secp256r1::FrParams::r_squared_wasm_2 = 0x16c8e4adafb16586UL

staticconstexpr

Definition at line 234 of file secp256r1.hpp.

◆ r_squared_wasm_3

constexpr uint64_t bb::secp256r1::FrParams::r_squared_wasm_3 = 0x84b6556a65587f06UL

staticconstexpr

Definition at line 235 of file secp256r1.hpp.

◆ schema_name

constexpr const char* bb::secp256r1::FrParams::schema_name = "secp256r1_fr"

staticconstexpr

Definition at line 145 of file secp256r1.hpp.

The documentation for this struct was generated from the following file:

src/barretenberg/ecc/curves/secp256r1/secp256r1.hpp

Static Public Attributes

Detailed Description

Member Data Documentation

◆ coset_generators_0

◆ coset_generators_1

◆ coset_generators_2

◆ coset_generators_3

◆ coset_generators_wasm_0

◆ coset_generators_wasm_1

◆ coset_generators_wasm_2

◆ coset_generators_wasm_3

◆ cube_root_0

◆ cube_root_1

◆ cube_root_2

◆ cube_root_3

◆ cube_root_wasm_0

◆ cube_root_wasm_1

◆ cube_root_wasm_2

◆ cube_root_wasm_3

◆ modulus_0

◆ modulus_1

◆ modulus_2

◆ modulus_3

◆ modulus_wasm_0

◆ modulus_wasm_1

◆ modulus_wasm_2

◆ modulus_wasm_3

◆ modulus_wasm_4

◆ modulus_wasm_5

◆ modulus_wasm_6

◆ modulus_wasm_7

◆ modulus_wasm_8

◆ primitive_root_0

◆ primitive_root_1

◆ primitive_root_2

◆ primitive_root_3

◆ primitive_root_wasm_0

◆ primitive_root_wasm_1

◆ primitive_root_wasm_2

◆ primitive_root_wasm_3

◆ PUBLIC_INPUTS_SIZE

◆ r_inv

◆ r_inv_0

◆ r_inv_1

◆ r_inv_2

◆ r_inv_3

◆ r_inv_wasm_0

◆ r_inv_wasm_1

◆ r_inv_wasm_2

◆ r_inv_wasm_3

◆ r_inv_wasm_4

◆ r_inv_wasm_5

◆ r_inv_wasm_6

◆ r_inv_wasm_7

◆ r_inv_wasm_8

◆ r_squared_0

◆ r_squared_1

◆ r_squared_2

◆ r_squared_3

◆ r_squared_wasm_0

◆ r_squared_wasm_1

◆ r_squared_wasm_2

◆ r_squared_wasm_3

◆ schema_name