zkhash::fields::goldilocks

Struct FqConfig

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pub struct FqConfig;

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impl MontConfig<1> for FqConfig

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fn neg_in_place(a: &mut Fp<MontBackend<FqConfig, 1usize>, 1usize>)

Sets a = -a.

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const MODULUS: BigInt<1usize>

The modulus of the field.
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const GENERATOR: Fp<MontBackend<FqConfig, 1usize>, 1usize>

A multiplicative generator of the field. Self::GENERATOR is an element having multiplicative order Self::MODULUS - 1.
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const TWO_ADIC_ROOT_OF_UNITY: Fp<MontBackend<FqConfig, 1usize>, 1usize>

2^s root of unity computed by GENERATOR^t
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fn add_assign( a: &mut Fp<MontBackend<FqConfig, 1usize>, 1usize>, b: &Fp<MontBackend<FqConfig, 1usize>, 1usize>, )

Sets a = a + b.
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fn sub_assign( a: &mut Fp<MontBackend<FqConfig, 1usize>, 1usize>, b: &Fp<MontBackend<FqConfig, 1usize>, 1usize>, )

Sets a = a - b.
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fn double_in_place(a: &mut Fp<MontBackend<FqConfig, 1usize>, 1usize>)

Sets a = 2 * a.
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fn mul_assign( a: &mut Fp<MontBackend<FqConfig, 1usize>, 1usize>, b: &Fp<MontBackend<FqConfig, 1usize>, 1usize>, )

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.
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fn square_in_place(a: &mut Fp<MontBackend<FqConfig, 1usize>, 1usize>)

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fn sum_of_products<const M: usize>( a: &[Fp<MontBackend<FqConfig, 1usize>, 1usize>; M], b: &[Fp<MontBackend<FqConfig, 1usize>, 1usize>; M], ) -> Fp<MontBackend<FqConfig, 1usize>, 1usize>

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const R: BigInt<N> = _

Let M be the power of 2^64 nearest to Self::MODULUS_BITS. Then R = M % Self::MODULUS.
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const R2: BigInt<N> = _

R2 = R^2 % Self::MODULUS
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const INV: u64 = _

INV = -MODULUS^{-1} mod 2^64
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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.
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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.
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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.
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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.
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fn inverse( a: &Fp<MontBackend<Self, N>, N>, ) -> Option<Fp<MontBackend<Self, N>, N>>

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

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

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