Struct CubicExtField

pub struct CubicExtField<F: Field> { /* private fields */ }

Implementations

impl<F: Field> CubicExtField<F>

pub const fn new(c0: F, c1: F, c2: F) -> Self

pub const fn zero() -> Self

pub const fn one() -> Self

pub fn double(&self) -> Self

pub fn add(&self, other: &Self) -> Self

pub fn sub(&self, other: &Self) -> Self

pub fn neg(&self) -> Self

impl<F: Field> CubicExtField<F>

where Self: CubicExtFieldArith<Base = F>,

pub fn mul(&self, rhs: &Self) -> Self

pub fn mul_assign(&mut self, rhs: &Self)

pub fn square(el: &Self) -> Self

pub fn square_assign(&mut self)

Trait Implementations

impl<'a, 'b> Add<&'b CubicExtField<QuadExtField<Fp>>> for &'a CubicExtField<QuadExtField<Fp>>

type Output = CubicExtField<QuadExtField<Fp>>

The resulting type after applying the + operator.

fn add( self, rhs: &'b CubicExtField<QuadExtField<Fp>>, ) -> CubicExtField<QuadExtField<Fp>>

Performs the + operation.

impl<'b> Add<&'b CubicExtField<QuadExtField<Fp>>> for CubicExtField<QuadExtField<Fp>>

type Output = CubicExtField<QuadExtField<Fp>>

The resulting type after applying the + operator.

fn add( self, rhs: &'b CubicExtField<QuadExtField<Fp>>, ) -> CubicExtField<QuadExtField<Fp>>

Performs the + operation.

impl<'a, 'b> Add<&'b CubicExtField<QuadExtField<Fq>>> for &'a Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the + operator.

fn add(self, rhs: &'b Fq6) -> Fq6

Performs the + operation.

impl<'a, 'b> Add<&'b CubicExtField<QuadExtField<Fq>>> for &'a Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the + operator.

fn add(self, rhs: &'b Fq6) -> Fq6

Performs the + operation.

impl<'b> Add<&'b CubicExtField<QuadExtField<Fq>>> for Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the + operator.

fn add(self, rhs: &'b Fq6) -> Fq6

Performs the + operation.

impl<'b> Add<&'b CubicExtField<QuadExtField<Fq>>> for Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the + operator.

fn add(self, rhs: &'b Fq6) -> Fq6

Performs the + operation.

impl<'a> Add<CubicExtField<QuadExtField<Fp>>> for &'a CubicExtField<QuadExtField<Fp>>

type Output = CubicExtField<QuadExtField<Fp>>

The resulting type after applying the + operator.

fn add( self, rhs: CubicExtField<QuadExtField<Fp>>, ) -> CubicExtField<QuadExtField<Fp>>

Performs the + operation.

impl<'a> Add<CubicExtField<QuadExtField<Fq>>> for &'a Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the + operator.

fn add(self, rhs: Fq6) -> Fq6

Performs the + operation.

impl<'a> Add<CubicExtField<QuadExtField<Fq>>> for &'a Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the + operator.

fn add(self, rhs: Fq6) -> Fq6

Performs the + operation.

impl Add for CubicExtField<QuadExtField<Fp>>

type Output = CubicExtField<QuadExtField<Fp>>

The resulting type after applying the + operator.

fn add( self, rhs: CubicExtField<QuadExtField<Fp>>, ) -> CubicExtField<QuadExtField<Fp>>

Performs the + operation.

impl<'b> AddAssign<&'b CubicExtField<QuadExtField<Fp>>> for CubicExtField<QuadExtField<Fp>>

fn add_assign(&mut self, rhs: &'b CubicExtField<QuadExtField<Fp>>)

Performs the += operation.

impl<'b> AddAssign<&'b CubicExtField<QuadExtField<Fq>>> for Fq6

fn add_assign(&mut self, rhs: &'b Fq6)

Performs the += operation.

impl<'b> AddAssign<&'b CubicExtField<QuadExtField<Fq>>> for Fq6

fn add_assign(&mut self, rhs: &'b Fq6)

Performs the += operation.

impl AddAssign for CubicExtField<QuadExtField<Fp>>

fn add_assign(&mut self, rhs: CubicExtField<QuadExtField<Fp>>)

Performs the += operation.

impl<F: Clone + Field> Clone for CubicExtField<F>

fn clone(&self) -> CubicExtField<F>

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<F: Field> ConditionallySelectable for CubicExtField<F>

fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self

Select a or b according to choice.

fn conditional_assign(&mut self, other: &Self, choice: Choice)

Conditionally assign other to self, according to choice.

fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves.

impl<F: Field> ConstantTimeEq for CubicExtField<F>

fn ct_eq(&self, other: &Self) -> Choice

Determine if two items are equal.

fn ct_ne(&self, other: &Self) -> Choice

Determine if two items are NOT equal.

impl CubicExtFieldArith for CubicExtField<QuadExtField<Fp>>

type Base = QuadExtField<Fp>

fn mul_assign( lhs: &mut CubicExtField<Self::Base>, rhs: &CubicExtField<Self::Base>, )

fn square_assign(el: &mut CubicExtField<Self::Base>)

impl CubicSparseMul for CubicExtField<QuadExtField<Fp>>

type Base = QuadExtField<Fp>

fn mul_by_1( lhs: &CubicExtField<Self::Base>, c1: &Self::Base, ) -> CubicExtField<Self::Base>

fn mul_by_01( lhs: &CubicExtField<Self::Base>, c0: &Self::Base, c1: &Self::Base, ) -> CubicExtField<Self::Base>

impl<F: Debug + Field> Debug for CubicExtField<F>

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl<F: Default + Field> Default for CubicExtField<F>

fn default() -> CubicExtField<F>

Returns the “default value” for a type.

impl ExtField for CubicExtField<QuadExtField<Fp>>

const NON_RESIDUE: Self = _

fn frobenius_map(&mut self, power: usize)

fn mul_by_nonresidue( self: &CubicExtField<QuadExtField<Fp>>, ) -> CubicExtField<QuadExtField<Fp>>

impl<F: ExtField> Field for CubicExtField<F>

where CubicExtField<F>: CubicExtFieldArith<Base = F> + ExtField,

const ZERO: Self = _

The zero element of the field, the additive identity.

const ONE: Self = _

The one element of the field, the multiplicative identity.

fn random(rng: impl RngCore) -> Self

Returns an element chosen uniformly at random using a user-provided RNG.

fn is_zero(&self) -> Choice

Returns true iff this element is zero.

fn square(&self) -> Self

Squares this element.

fn double(&self) -> Self

Doubles this element.

fn sqrt(&self) -> CtOption<Self>

Returns the square root of the field element, if it is quadratic residue.

fn sqrt_ratio(_: &Self, _: &Self) -> (Choice, Self)

Computes:

fn invert(&self) -> CtOption<Self>

Computes the multiplicative inverse of this element, failing if the element is zero.

fn is_zero_vartime(&self) -> bool

Returns true iff this element is zero.

fn cube(&self) -> Self

Cubes this element.

fn sqrt_alt(&self) -> (Choice, Self)

Equivalent to Self::sqrt_ratio(self, one()).

fn pow<S>(&self, exp: S) -> Self

where S: AsRef<[u64]>,

Exponentiates self by exp, where exp is a little-endian order integer exponent.

fn pow_vartime<S>(&self, exp: S) -> Self

where S: AsRef<[u64]>,

Exponentiates self by exp, where exp is a little-endian order integer exponent.

impl<'a, 'b> Mul<&'b CubicExtField<QuadExtField<Fp>>> for &'a CubicExtField<QuadExtField<Fp>>

type Output = CubicExtField<QuadExtField<Fp>>

The resulting type after applying the * operator.

fn mul( self, rhs: &'b CubicExtField<QuadExtField<Fp>>, ) -> CubicExtField<QuadExtField<Fp>>

Performs the * operation.

impl<'b> Mul<&'b CubicExtField<QuadExtField<Fp>>> for CubicExtField<QuadExtField<Fp>>

type Output = CubicExtField<QuadExtField<Fp>>

The resulting type after applying the * operator.

fn mul( self, rhs: &'b CubicExtField<QuadExtField<Fp>>, ) -> CubicExtField<QuadExtField<Fp>>

Performs the * operation.

impl<'a, 'b> Mul<&'b CubicExtField<QuadExtField<Fq>>> for &'a Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Fq6) -> Fq6

Performs the * operation.

impl<'a, 'b> Mul<&'b CubicExtField<QuadExtField<Fq>>> for &'a Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Fq6) -> Fq6

Performs the * operation.

impl<'b> Mul<&'b CubicExtField<QuadExtField<Fq>>> for Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Fq6) -> Fq6

Performs the * operation.

impl<'b> Mul<&'b CubicExtField<QuadExtField<Fq>>> for Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Fq6) -> Fq6

Performs the * operation.

impl<'a> Mul<CubicExtField<QuadExtField<Fp>>> for &'a CubicExtField<QuadExtField<Fp>>

type Output = CubicExtField<QuadExtField<Fp>>

The resulting type after applying the * operator.

fn mul( self, rhs: CubicExtField<QuadExtField<Fp>>, ) -> CubicExtField<QuadExtField<Fp>>

Performs the * operation.

impl<'a> Mul<CubicExtField<QuadExtField<Fq>>> for &'a Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the * operator.

fn mul(self, rhs: Fq6) -> Fq6

Performs the * operation.

impl<'a> Mul<CubicExtField<QuadExtField<Fq>>> for &'a Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the * operator.

fn mul(self, rhs: Fq6) -> Fq6

Performs the * operation.

impl Mul for CubicExtField<QuadExtField<Fp>>

type Output = CubicExtField<QuadExtField<Fp>>

The resulting type after applying the * operator.

fn mul( self, rhs: CubicExtField<QuadExtField<Fp>>, ) -> CubicExtField<QuadExtField<Fp>>

Performs the * operation.

impl<'b> MulAssign<&'b CubicExtField<QuadExtField<Fp>>> for CubicExtField<QuadExtField<Fp>>

fn mul_assign(&mut self, rhs: &'b CubicExtField<QuadExtField<Fp>>)

Performs the *= operation.

impl<'b> MulAssign<&'b CubicExtField<QuadExtField<Fq>>> for Fq6

fn mul_assign(&mut self, rhs: &'b Fq6)

Performs the *= operation.

impl<'b> MulAssign<&'b CubicExtField<QuadExtField<Fq>>> for Fq6

fn mul_assign(&mut self, rhs: &'b Fq6)

Performs the *= operation.

impl MulAssign for CubicExtField<QuadExtField<Fp>>

fn mul_assign(&mut self, rhs: CubicExtField<QuadExtField<Fp>>)

Performs the *= operation.

impl<'a> Neg for &'a CubicExtField<QuadExtField<Fp>>

type Output = CubicExtField<QuadExtField<Fp>>

The resulting type after applying the - operator.

fn neg(self) -> CubicExtField<QuadExtField<Fp>>

Performs the unary - operation.

impl Neg for CubicExtField<QuadExtField<Fp>>

type Output = CubicExtField<QuadExtField<Fp>>

The resulting type after applying the - operator.

fn neg(self) -> CubicExtField<QuadExtField<Fp>>

Performs the unary - operation.

impl<F: PartialEq + Field> PartialEq for CubicExtField<F>

fn eq(&self, other: &CubicExtField<F>) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl<T: Borrow<CubicExtField<QuadExtField<Fp>>>> Product<T> for CubicExtField<QuadExtField<Fp>>

fn product<I: Iterator<Item = T>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by multiplying the items.

impl<'a, 'b> Sub<&'b CubicExtField<QuadExtField<Fp>>> for &'a CubicExtField<QuadExtField<Fp>>

type Output = CubicExtField<QuadExtField<Fp>>

The resulting type after applying the - operator.

fn sub( self, rhs: &'b CubicExtField<QuadExtField<Fp>>, ) -> CubicExtField<QuadExtField<Fp>>

Performs the - operation.

impl<'b> Sub<&'b CubicExtField<QuadExtField<Fp>>> for CubicExtField<QuadExtField<Fp>>

type Output = CubicExtField<QuadExtField<Fp>>

The resulting type after applying the - operator.

fn sub( self, rhs: &'b CubicExtField<QuadExtField<Fp>>, ) -> CubicExtField<QuadExtField<Fp>>

Performs the - operation.

impl<'a, 'b> Sub<&'b CubicExtField<QuadExtField<Fq>>> for &'a Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Fq6) -> Fq6

Performs the - operation.

impl<'a, 'b> Sub<&'b CubicExtField<QuadExtField<Fq>>> for &'a Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Fq6) -> Fq6

Performs the - operation.

impl<'b> Sub<&'b CubicExtField<QuadExtField<Fq>>> for Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Fq6) -> Fq6

Performs the - operation.

impl<'b> Sub<&'b CubicExtField<QuadExtField<Fq>>> for Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Fq6) -> Fq6

Performs the - operation.

impl<'a> Sub<CubicExtField<QuadExtField<Fp>>> for &'a CubicExtField<QuadExtField<Fp>>

type Output = CubicExtField<QuadExtField<Fp>>

The resulting type after applying the - operator.

fn sub( self, rhs: CubicExtField<QuadExtField<Fp>>, ) -> CubicExtField<QuadExtField<Fp>>

Performs the - operation.

impl<'a> Sub<CubicExtField<QuadExtField<Fq>>> for &'a Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the - operator.

fn sub(self, rhs: Fq6) -> Fq6

Performs the - operation.

impl<'a> Sub<CubicExtField<QuadExtField<Fq>>> for &'a Fq6

type Output = CubicExtField<QuadExtField<Fq>>

The resulting type after applying the - operator.

fn sub(self, rhs: Fq6) -> Fq6

Performs the - operation.

impl Sub for CubicExtField<QuadExtField<Fp>>

type Output = CubicExtField<QuadExtField<Fp>>

The resulting type after applying the - operator.

fn sub( self, rhs: CubicExtField<QuadExtField<Fp>>, ) -> CubicExtField<QuadExtField<Fp>>

Performs the - operation.

impl<'b> SubAssign<&'b CubicExtField<QuadExtField<Fp>>> for CubicExtField<QuadExtField<Fp>>

fn sub_assign(&mut self, rhs: &'b CubicExtField<QuadExtField<Fp>>)

Performs the -= operation.

impl<'b> SubAssign<&'b CubicExtField<QuadExtField<Fq>>> for Fq6

fn sub_assign(&mut self, rhs: &'b Fq6)

Performs the -= operation.

impl<'b> SubAssign<&'b CubicExtField<QuadExtField<Fq>>> for Fq6

fn sub_assign(&mut self, rhs: &'b Fq6)

Performs the -= operation.

impl SubAssign for CubicExtField<QuadExtField<Fp>>

fn sub_assign(&mut self, rhs: CubicExtField<QuadExtField<Fp>>)

Performs the -= operation.

impl<T: Borrow<CubicExtField<QuadExtField<Fp>>>> Sum<T> for CubicExtField<QuadExtField<Fp>>

fn sum<I: Iterator<Item = T>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.

impl<F: Copy + Field> Copy for CubicExtField<F>

impl<F: Eq + Field> Eq for CubicExtField<F>

impl<F: Field> StructuralPartialEq for CubicExtField<F>