Struct Fq6

pub struct Fq6 {
    pub c0: Fp2,
    pub c1: Fp2,
    pub c2: Fp2,
}

This represents an element $c_0 + c_1 v + c_2 v^2$ of $\mathbb{F}{p^6} = \mathbb{F}{p^2}[v] / (v^3 - u - 1)$.

Fields

c0: Fp2

c1: Fp2

c2: Fp2

Implementations

impl Fp6

pub const fn zero() -> Self

pub const fn one() -> Self

pub fn double(&self) -> Self

pub fn mul_by_1(&self, c1: &Fp2) -> Fp6

pub fn mul_by_01(&self, c0: &Fp2, c1: &Fp2) -> Fp6

pub fn mul_by_nonresidue(&self) -> Self

Multiply by quadratic nonresidue v.

pub fn frobenius_map(&self) -> Self

Raises this element to p.

pub fn is_zero(&self) -> Choice

pub fn square(&self) -> Self

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

Trait Implementations

impl<'a, 'b> Add<&'b Fp6> for &'a Fp6

type Output = Fp6

The resulting type after applying the + operator.

fn add(self, rhs: &'b Fp6) -> Self::Output

Performs the + operation.

impl<'b> Add<&'b Fp6> for Fp6

type Output = Fp6

The resulting type after applying the + operator.

fn add(self, rhs: &'b Fp6) -> Fp6

Performs the + operation.

impl<'a> Add<Fp6> for &'a Fp6

type Output = Fp6

The resulting type after applying the + operator.

fn add(self, rhs: Fp6) -> Fp6

Performs the + operation.

impl Add for Fp6

type Output = Fp6

The resulting type after applying the + operator.

fn add(self, rhs: Fp6) -> Fp6

Performs the + operation.

impl<'b> AddAssign<&'b Fp6> for Fp6

fn add_assign(&mut self, rhs: &'b Fp6)

Performs the += operation.

impl AddAssign for Fp6

fn add_assign(&mut self, rhs: Fp6)

Performs the += operation.

impl Clone for Fp6

fn clone(&self) -> Self

Returns a copy of the value.

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

Performs copy-assignment from source.

impl ConditionallySelectable for Fp6

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 Fp6

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 Fp6

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

Formats the value using the given formatter.

impl Default for Fp6

fn default() -> Self

Returns the “default value” for a type.

impl From<Fp> for Fp6

fn from(f: Fp) -> Fp6

Converts to this type from the input type.

impl From<Fp2> for Fp6

fn from(f: Fp2) -> Fp6

Converts to this type from the input type.

impl From<Fp6> for Fp12

fn from(f: Fp6) -> Fp12

Converts to this type from the input type.

impl<'a, 'b> Mul<&'b Fp6> for &'a Fp6

type Output = Fp6

The resulting type after applying the * operator.

fn mul(self, other: &'b Fp6) -> Self::Output

Performs the * operation.

impl<'b> Mul<&'b Fp6> for Fp6

type Output = Fp6

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Fp6) -> Fp6

Performs the * operation.

impl<'a> Mul<Fp6> for &'a Fp6

type Output = Fp6

The resulting type after applying the * operator.

fn mul(self, rhs: Fp6) -> Fp6

Performs the * operation.

impl Mul for Fp6

type Output = Fp6

The resulting type after applying the * operator.

fn mul(self, rhs: Fp6) -> Fp6

Performs the * operation.

impl<'b> MulAssign<&'b Fp6> for Fp6

fn mul_assign(&mut self, rhs: &'b Fp6)

Performs the *= operation.

impl MulAssign for Fp6

fn mul_assign(&mut self, rhs: Fp6)

Performs the *= operation.

impl<'a> Neg for &'a Fp6

type Output = Fp6

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Neg for Fp6

type Output = Fp6

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl PartialEq for Fp6

fn eq(&self, other: &Fp6) -> 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<'a, 'b> Sub<&'b Fp6> for &'a Fp6

type Output = Fp6

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Fp6) -> Self::Output

Performs the - operation.

impl<'b> Sub<&'b Fp6> for Fp6

type Output = Fp6

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Fp6) -> Fp6

Performs the - operation.

impl<'a> Sub<Fp6> for &'a Fp6

type Output = Fp6

The resulting type after applying the - operator.

fn sub(self, rhs: Fp6) -> Fp6

Performs the - operation.

impl Sub for Fp6

type Output = Fp6

The resulting type after applying the - operator.

fn sub(self, rhs: Fp6) -> Fp6

Performs the - operation.

impl<'b> SubAssign<&'b Fp6> for Fp6

fn sub_assign(&mut self, rhs: &'b Fp6)

Performs the -= operation.

impl SubAssign for Fp6

fn sub_assign(&mut self, rhs: Fp6)

Performs the -= operation.

impl Copy for Fp6

impl Eq for Fp6