Struct FqConfig 

pub struct FqConfig;

Trait Implementations

impl MontConfig<4> for FqConfig

fn neg_in_place(a: &mut Fp<MontBackend<FqConfig, 4usize>, 4usize>)

Sets a = -a.

const MODULUS: BigInt<4usize>

The modulus of the field.

const GENERATOR: Fp<MontBackend<FqConfig, 4usize>, 4usize>

A multiplicative generator of the field. Self::GENERATOR is an element having multiplicative order Self::MODULUS - 1.

const TWO_ADIC_ROOT_OF_UNITY: Fp<MontBackend<FqConfig, 4usize>, 4usize>

2^s root of unity computed by GENERATOR^t

fn add_assign( a: &mut Fp<MontBackend<FqConfig, 4usize>, 4usize>, b: &Fp<MontBackend<FqConfig, 4usize>, 4usize>, )

Sets a = a + b.

fn sub_assign( a: &mut Fp<MontBackend<FqConfig, 4usize>, 4usize>, b: &Fp<MontBackend<FqConfig, 4usize>, 4usize>, )

Sets a = a - b.

fn double_in_place(a: &mut Fp<MontBackend<FqConfig, 4usize>, 4usize>)

Sets a = 2 * a.

fn mul_assign( a: &mut Fp<MontBackend<FqConfig, 4usize>, 4usize>, b: &Fp<MontBackend<FqConfig, 4usize>, 4usize>, )

This modular multiplication algorithm uses Montgomery reduction for efficient implementation. It also additionally uses the “no-carry optimization” outlined here if Self::MODULUS has (a) a non-zero MSB, and (b) at least one zero bit in the rest of the modulus.

fn square_in_place(a: &mut Fp<MontBackend<FqConfig, 4usize>, 4usize>)

fn sum_of_products<const M: usize>( a: &[Fp<MontBackend<FqConfig, 4usize>, 4usize>; M], b: &[Fp<MontBackend<FqConfig, 4usize>, 4usize>; M], ) -> Fp<MontBackend<FqConfig, 4usize>, 4usize>

const R: BigInt<N> = _

Let M be the power of 2^64 nearest to Self::MODULUS_BITS. Then R = M % Self::MODULUS.

const R2: BigInt<N> = _

R2 = R^2 % Self::MODULUS

const INV: u64 = _

INV = -MODULUS^{-1} mod 2^64

const SMALL_SUBGROUP_BASE: Option<u32> = None

An integer b such that there exists a multiplicative subgroup of size b^k for some integer k.

const SMALL_SUBGROUP_BASE_ADICITY: Option<u32> = None

The integer k such that there exists a multiplicative subgroup of size Self::SMALL_SUBGROUP_BASE^k.

const LARGE_SUBGROUP_ROOT_OF_UNITY: Option<Fp<MontBackend<Self, N>, N>> = None

GENERATOR^((MODULUS-1) / (2^s * SMALL_SUBGROUP_BASE^SMALL_SUBGROUP_BASE_ADICITY)). Used for mixed-radix FFT.

const SQRT_PRECOMP: Option<SqrtPrecomputation<Fp<MontBackend<Self, N>, N>>> = _

Precomputed material for use when computing square roots. The default is to use the standard Tonelli-Shanks algorithm.

fn inverse( a: &Fp<MontBackend<Self, N>, N>, ) -> Option<Fp<MontBackend<Self, N>, N>>

fn from_bigint(r: BigInt<N>) -> Option<Fp<MontBackend<Self, N>, N>>

fn into_bigint(a: Fp<MontBackend<Self, N>, N>) -> BigInt<N>