Struct ark_ff::fields::models::fp2::Fp2ParamsWrapper

pub struct Fp2ParamsWrapper<P: Fp2Parameters>(_);

Trait Implementations

impl<P: Fp2Parameters> QuadExtParameters for Fp2ParamsWrapper<P>

type BasePrimeField = P::Fp

The prime field that this quadratic extension is eventually an extension of.

type BaseField = P::Fp

The base field that this field is a quadratic extension of.

type FrobCoeff = P::Fp

The type of the coefficients for an efficient implemntation of the Frobenius endomorphism.

const DEGREE_OVER_BASE_PRIME_FIELD: usize

The degree of the extension over the base prime field.

const NONRESIDUE: Self::BaseField

The quadratic non-residue used to construct the extension.

const FROBENIUS_COEFF_C1: &'static [Self::FrobCoeff]

Coefficients for the Frobenius automorphism.

fn mul_base_field_by_nonresidue(fe: &Self::BaseField) -> Self::BaseField

A specializable method for multiplying an element of the base field by the quadratic non-residue. This is used in Karatsuba multiplication and in complex squaring.

fn add_and_mul_base_field_by_nonresidue(
    x: &Self::BaseField,
    y: &Self::BaseField
) -> Self::BaseField

A specializable method for computing x + mul_base_field_by_nonresidue(y) This allows for optimizations when the non-residue is canonically negative in the field.

fn add_and_mul_base_field_by_nonresidue_plus_one(
    x: &Self::BaseField,
    y: &Self::BaseField
) -> Self::BaseField

A specializable method for computing x + mul_base_field_by_nonresidue(y) + y This allows for optimizations when the non-residue is not -1.

fn sub_and_mul_base_field_by_nonresidue(
    x: &Self::BaseField,
    y: &Self::BaseField
) -> Self::BaseField

A specializable method for computing x - mul_base_field_by_nonresidue(y) This allows for optimizations when the non-residue is canonically negative in the field.

fn mul_base_field_by_frob_coeff(fe: &mut Self::BaseField, power: usize)

A specializable method for multiplying an element of the base field by the appropriate Frobenius coefficient.

fn cyclotomic_exp(
    fe: &QuadExtField<Self>,
    exponent: impl AsRef<[u64]>
) -> QuadExtField<Self>

A specializable method for exponentiating that is to be used only when fe is known to be in the cyclotommic subgroup.