Type Alias Fp12

pub type Fp12 = SexticExtField<Fp2>;

Aliased Type

struct Fp12 {
    pub c: [Bn254Fp2; 6],
}

Fields

c: [Bn254Fp2; 6]

Implementations

impl Fp12

pub fn invert(&self) -> Self

impl<F> SexticExtField<F>

pub const fn new(c: [F; 6]) -> Self

Trait Implementations

impl ComplexConjugate for Fp12

fn conjugate(self) -> Self

Conjugate an extension field element.

fn conjugate_assign(&mut self)

Replace self with its conjugate.

impl<'a> DivAssignUnsafe<&'a SexticExtField<Bn254Fp2>> for Fp12

fn div_assign_unsafe(&mut self, other: &'a Fp12)

Undefined behavior when denominator is not invertible.

impl DivAssignUnsafe for Fp12

fn div_assign_unsafe(&mut self, other: Self)

Undefined behavior when denominator is not invertible.

impl<'a> DivUnsafe<&'a SexticExtField<Bn254Fp2>> for Fp12

type Output = SexticExtField<Bn254Fp2>

Output type of div_unsafe.

fn div_unsafe(self, other: &'a Fp12) -> Self::Output

Undefined behavior when denominator is not invertible.

impl<'a> DivUnsafe for &'a Fp12

type Output = SexticExtField<Bn254Fp2>

Output type of div_unsafe.

fn div_unsafe(self, other: &'a Fp12) -> Self::Output

Undefined behavior when denominator is not invertible.

impl DivUnsafe for Fp12

type Output = SexticExtField<Bn254Fp2>

Output type of div_unsafe.

fn div_unsafe(self, other: Self) -> Self::Output

Undefined behavior when denominator is not invertible.

impl Field for Fp12

const ZERO: Self

The zero element of the field, the additive identity.

const ONE: Self

The one element of the field, the multiplicative identity.

type SelfRef<'a> = &'a SexticExtField<Bn254Fp2>

fn double_assign(&mut self)

Doubles self in-place.

fn square_assign(&mut self)

Square self in-place

fn invert(&self) -> Self

Unchecked inversion. See DivUnsafe.

impl FieldExtension<Bn254Fp2> for Fp12

fn frobenius_map(&self, power: usize) -> Self

We assume that the frobenius map power is < 12

const D: usize = 6usize

Extension field degree.

type Coeffs = [Bn254Fp2; 6]

This should be [BaseField; D]. It is an associated type due to rust const generic limitations.

fn from_coeffs(coeffs: Self::Coeffs) -> Self

Create an extension field element from its base field coefficients.

fn from_bytes(bytes: &[u8]) -> Self

Create an extension field element from little-endian bytes.

fn to_coeffs(self) -> Self::Coeffs

Convert an extension field element to its base field coefficients.

fn to_bytes(&self) -> Vec<u8>

Convert an extension field element to little-endian bytes.

fn embed(c0: Fp2) -> Self

Embed a base field element into an extension field element.

fn mul_base(&self, rhs: &Fp2) -> Self

Multiply an extension field element by an element in the base field

impl FromLineDType<Bn254Fp2> for Fp12

fn from_evaluated_line_d_type(line: EvaluatedLine<Fp2>) -> Fp12

impl<'a> Mul<&'a SexticExtField<Bn254Fp2>> for Fp12

type Output = SexticExtField<Bn254Fp2>

The resulting type after applying the * operator.

fn mul(self, other: &'a Fp12) -> Fp12

Performs the * operation.

impl<'a> Mul for &'a Fp12

type Output = SexticExtField<Bn254Fp2>

The resulting type after applying the * operator.

fn mul(self, other: &'a Fp12) -> Self::Output

Performs the * operation.

impl Mul for Fp12

type Output = SexticExtField<Bn254Fp2>

The resulting type after applying the * operator.

fn mul(self, other: Self) -> Self::Output

Performs the * operation.

impl<'a> MulAssign<&'a SexticExtField<Bn254Fp2>> for Fp12

fn mul_assign(&mut self, other: &'a Fp12)

Performs the *= operation.

impl MulAssign for Fp12

fn mul_assign(&mut self, other: Self)

Performs the *= operation.

impl Neg for Fp12

type Output = SexticExtField<Bn254Fp2>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<'a, F: Field> Add<&'a SexticExtField<F>> for SexticExtField<F>

type Output = SexticExtField<F>

The resulting type after applying the + operator.

fn add(self, other: &'a SexticExtField<F>) -> Self::Output

Performs the + operation.

impl<F: Field> Add for SexticExtField<F>

type Output = SexticExtField<F>

The resulting type after applying the + operator.

fn add(self, other: Self) -> Self::Output

Performs the + operation.

impl<'a, F: Field> AddAssign<&'a SexticExtField<F>> for SexticExtField<F>

fn add_assign(&mut self, other: &'a SexticExtField<F>)

Performs the += operation.

impl<F: Field> AddAssign for SexticExtField<F>

fn add_assign(&mut self, other: Self)

Performs the += operation.

impl<F: Clone> Clone for SexticExtField<F>

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

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<F: Field> Debug for SexticExtField<F>

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

Formats the value using the given formatter.

impl<'de, F> Deserialize<'de> for SexticExtField<F>

where F: Deserialize<'de>,

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl<F: PartialEq> PartialEq for SexticExtField<F>

fn eq(&self, other: &SexticExtField<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<F> Serialize for SexticExtField<F>

where F: Serialize,

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl<'a, F: Field> Sub<&'a SexticExtField<F>> for SexticExtField<F>

type Output = SexticExtField<F>

The resulting type after applying the - operator.

fn sub(self, other: &'a SexticExtField<F>) -> Self::Output

Performs the - operation.

impl<F: Field> Sub for SexticExtField<F>

type Output = SexticExtField<F>

The resulting type after applying the - operator.

fn sub(self, other: Self) -> Self::Output

Performs the - operation.

impl<'a, F: Field> SubAssign<&'a SexticExtField<F>> for SexticExtField<F>

fn sub_assign(&mut self, other: &'a SexticExtField<F>)

Performs the -= operation.

impl<F: Field> SubAssign for SexticExtField<F>

fn sub_assign(&mut self, other: Self)

Performs the -= operation.

impl<F: Eq> Eq for SexticExtField<F>

impl<F> StructuralPartialEq for SexticExtField<F>