Type Alias Fp12

pub type Fp12<P> = QuadExtField<Fp12ConfigWrapper<P>>;

Aliased Type

struct Fp12<P> {
    pub c0: <Fp12ConfigWrapper<P> as QuadExtConfig>::BaseField,
    pub c1: <Fp12ConfigWrapper<P> as QuadExtConfig>::BaseField,
}

Fields

c0: <Fp12ConfigWrapper<P> as QuadExtConfig>::BaseField

Coefficient c0 in the representation of the field element c = c0 + c1 * X

c1: <Fp12ConfigWrapper<P> as QuadExtConfig>::BaseField

Coefficient c1 in the representation of the field element c = c0 + c1 * X

Implementations

impl<P: Fp12Config> Fp12<P>

pub fn mul_by_fp(&mut self, element: &<Self as Field>::BasePrimeField)

pub fn mul_by_034( &mut self, c0: &Fp2<<<P as Fp12Config>::Fp6Config as Fp6Config>::Fp2Config>, c3: &Fp2<<<P as Fp12Config>::Fp6Config as Fp6Config>::Fp2Config>, c4: &Fp2<<<P as Fp12Config>::Fp6Config as Fp6Config>::Fp2Config>, )

pub fn mul_by_014( &mut self, c0: &Fp2<<<P as Fp12Config>::Fp6Config as Fp6Config>::Fp2Config>, c1: &Fp2<<<P as Fp12Config>::Fp6Config as Fp6Config>::Fp2Config>, c4: &Fp2<<<P as Fp12Config>::Fp6Config as Fp6Config>::Fp2Config>, )

Trait Implementations

impl<P: Fp12Config> CyclotomicMultSubgroup for Fp12<P>

const INVERSE_IS_FAST: bool = true

Is the inverse fast to compute? For example, in quadratic extensions, the inverse can be computed at the cost of negating one coordinate, which is much faster than standard inversion. By default this is false, but should be set to true for quadratic extensions.

fn cyclotomic_inverse_in_place(&mut self) -> Option<&mut Self>

Compute the inverse of self. See Self::INVERSE_IS_FAST for details. Returns None if self.is_zero(), and Some otherwise.

fn cyclotomic_square_in_place(&mut self) -> &mut Self

Square self in place. By default this is computed using Field::square_in_place, but for degree 12 extensions, this can be computed faster than normal squaring.

fn cyclotomic_square(&self) -> Self

Compute a square in the cyclotomic subgroup. By default this is computed using Field::square, but for degree 12 extensions, this can be computed faster than normal squaring.

fn cyclotomic_inverse(&self) -> Option<Self>

Compute the inverse of self. See Self::INVERSE_IS_FAST for details. Returns None if self.is_zero(), and Some otherwise.

fn cyclotomic_exp(&self, e: impl AsRef<[u64]>) -> Self

Compute a cyclotomic exponentiation of self with respect to e.

fn cyclotomic_exp_in_place(&mut self, e: impl AsRef<[u64]>)

Set self to be the result of exponentiating self by e, using efficient cyclotomic algorithms.