Struct Fq12

pub struct Fq12 {
    pub c0: Fq6,
    pub c1: Fq6,
}

-GAMMA is a quadratic non-residue in Fp6. Fp12 = Fp6[X]/(X^2 + GAMMA) We introduce the variable w such that w^2 = -GAMMA An element of Fq12, represented by c0 + c1 * w.

Fields

c0: Fq6

c1: Fq6

Implementations

impl Fq12

pub const fn zero() -> Self

pub const fn one() -> Self

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

pub fn square_assign(&mut self)

pub fn double(&self) -> Self

pub fn double_assign(&mut self)

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

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

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

pub fn square(&self) -> Self

pub fn neg(&self) -> Self

pub fn conjugate(&mut self)

pub fn frobenius_map(&mut self, power: usize)

pub fn mul_by_014(&mut self, c0: &Fq2, c1: &Fq2, c4: &Fq2)

pub fn mul_by_034(&mut self, c0: &Fq2, c3: &Fq2, c4: &Fq2)

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

pub fn cyclotomic_square(&mut self)

Trait Implementations

impl<'a, 'b> Add<&'b Fq12> for &'a Fq12

type Output = Fq12

The resulting type after applying the + operator.

fn add(self, rhs: &'b Fq12) -> Fq12

Performs the + operation.

impl<'b> Add<&'b Fq12> for Fq12

type Output = Fq12

The resulting type after applying the + operator.

fn add(self, rhs: &'b Fq12) -> Fq12

Performs the + operation.

impl<'a> Add<Fq12> for &'a Fq12

type Output = Fq12

The resulting type after applying the + operator.

fn add(self, rhs: Fq12) -> Fq12

Performs the + operation.

impl Add for Fq12

type Output = Fq12

The resulting type after applying the + operator.

fn add(self, rhs: Fq12) -> Fq12

Performs the + operation.

impl<'b> AddAssign<&'b Fq12> for Fq12

fn add_assign(&mut self, rhs: &'b Fq12)

Performs the += operation.

impl AddAssign for Fq12

fn add_assign(&mut self, rhs: Fq12)

Performs the += operation.

impl Clone for Fq12

fn clone(&self) -> Fq12

Returns a copy of the value.

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

Performs copy-assignment from source.

impl ConditionallySelectable for Fq12

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 ConstantTimeEq for Fq12

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 Debug for Fq12

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

Formats the value using the given formatter.

impl Default for Fq12

fn default() -> Fq12

Returns the “default value” for a type.

impl Field for Fq12

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(_num: &Self, _div: &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 Fq12> for &'a Fq12

type Output = Fq12

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Fq12) -> Fq12

Performs the * operation.

impl<'b> Mul<&'b Fq12> for Fq12

type Output = Fq12

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Fq12) -> Fq12

Performs the * operation.

impl<'a> Mul<Fq12> for &'a Fq12

type Output = Fq12

The resulting type after applying the * operator.

fn mul(self, rhs: Fq12) -> Fq12

Performs the * operation.

impl Mul for Fq12

type Output = Fq12

The resulting type after applying the * operator.

fn mul(self, rhs: Fq12) -> Fq12

Performs the * operation.

impl<'b> MulAssign<&'b Fq12> for Fq12

fn mul_assign(&mut self, rhs: &'b Fq12)

Performs the *= operation.

impl MulAssign for Fq12

fn mul_assign(&mut self, rhs: Fq12)

Performs the *= operation.

impl<'a> Neg for &'a Fq12

type Output = Fq12

The resulting type after applying the - operator.

fn neg(self) -> Fq12

Performs the unary - operation.

impl Neg for Fq12

type Output = Fq12

The resulting type after applying the - operator.

fn neg(self) -> Fq12

Performs the unary - operation.

impl PartialEq for Fq12

fn eq(&self, other: &Fq12) -> 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<Fq12>> Product<T> for Fq12

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 Fq12> for &'a Fq12

type Output = Fq12

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Fq12) -> Fq12

Performs the - operation.

impl<'b> Sub<&'b Fq12> for Fq12

type Output = Fq12

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Fq12) -> Fq12

Performs the - operation.

impl<'a> Sub<Fq12> for &'a Fq12

type Output = Fq12

The resulting type after applying the - operator.

fn sub(self, rhs: Fq12) -> Fq12

Performs the - operation.

impl Sub for Fq12

type Output = Fq12

The resulting type after applying the - operator.

fn sub(self, rhs: Fq12) -> Fq12

Performs the - operation.

impl<'b> SubAssign<&'b Fq12> for Fq12

fn sub_assign(&mut self, rhs: &'b Fq12)

Performs the -= operation.

impl SubAssign for Fq12

fn sub_assign(&mut self, rhs: Fq12)

Performs the -= operation.

impl<T: Borrow<Fq12>> Sum<T> for Fq12

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

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

impl Copy for Fq12

impl Eq for Fq12

impl StructuralPartialEq for Fq12