Struct blstrs::Fp2

pub struct Fp2(_);

Implementations

impl Fp2

pub const fn new(c0: Fp, c1: Fp) -> Fp2

Constructs an element of Fp2.

pub fn add(&self, rhs: &Fp2) -> Fp2

pub fn neg(&self) -> Fp2

pub fn sub(&self, rhs: &Fp2) -> Fp2

pub fn mul(&self, rhs: &Fp2) -> Fp2

pub fn mul3(&self) -> Self

Multiplies self with 3, returning the result.

pub fn mul8(&self) -> Self

Multiplies self with 8, returning the result.

pub fn shl(&self, count: usize) -> Self

Left shift self by count, returning the result.

pub fn c0(&self) -> Fp

pub fn c1(&self) -> Fp

pub fn mul_by_nonresidue(&mut self)

Multiply this element by the cubic and quadratic nonresidue 1 + u.

pub fn norm(&self) -> Fp

Norm of Fq2 as extension field in i over Fq

Trait Implementations

impl<'a, 'b> Add<&'b Fp2> for &'a Fp2

type Output = Fp2

The resulting type after applying the + operator.

fn add(self, rhs: &'b Fp2) -> Fp2

Performs the + operation.

impl<'b> Add<&'b Fp2> for Fp2

type Output = Fp2

The resulting type after applying the + operator.

fn add(self, rhs: &'b Fp2) -> Fp2

Performs the + operation.

impl<'a> Add<Fp2> for &'a Fp2

type Output = Fp2

The resulting type after applying the + operator.

fn add(self, rhs: Fp2) -> Fp2

Performs the + operation.

impl Add<Fp2> for Fp2

type Output = Fp2

The resulting type after applying the + operator.

fn add(self, rhs: Fp2) -> Fp2

Performs the + operation.

impl<'b> AddAssign<&'b Fp2> for Fp2

fn add_assign(&mut self, rhs: &'b Fp2)

Performs the += operation.

impl AddAssign<Fp2> for Fp2

fn add_assign(&mut self, rhs: Fp2)

Performs the += operation.

impl Clone for Fp2

fn clone(&self) -> Fp2

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Copy for Fp2

impl Debug for Fp2

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

Formats the value using the given formatter.

impl Default for Fp2

fn default() -> Self

Returns the "default value" for a type.

impl Display for Fp2

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

Formats the value using the given formatter.

impl Eq for Fp2

impl Field for Fp2

fn random<R: RngCore>(rng: &mut R) -> Self

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

fn zero() -> Self

Returns the zero element of the field, the additive identity.

fn one() -> Self

Returns the one element of the field, the multiplicative identity.

fn is_zero(&self) -> bool

Returns true iff this element is zero.

fn square(&mut self)

Squares this element.

fn double(&mut self)

Doubles this element.

fn negate(&mut self)

Negates this element.

fn add_assign(&mut self, other: &Self)

Adds another element to this element.

fn sub_assign(&mut self, other: &Self)

Subtracts another element from this element.

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

Multiplies another element by this element.

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

Computes the multiplicative inverse of this element, if nonzero.

fn frobenius_map(&mut self, power: usize)

Exponentiates this element by a power of the base prime modulus via the Frobenius automorphism.

fn pow<S>(&self, exp: S) -> Self where
    S: AsRef<[u64]>, 

Exponentiates this element by a number represented with u64 limbs, least significant digit first.

impl From<Fp> for Fp2

fn from(f: Fp) -> Fp2

Performs the conversion.

impl From<Fp2> for Fp12

fn from(f: Fp2) -> Fp12

Performs the conversion.

impl From<Fp2> for blst_fp2

fn from(val: Fp2) -> blst_fp2

Performs the conversion.

impl From<Fp2> for Fp6

fn from(f: Fp2) -> Fp6

Performs the conversion.

impl From<blst_fp2> for Fp2

fn from(val: blst_fp2) -> Fp2

Performs the conversion.

impl<'a, 'b> Mul<&'b Fp2> for &'a Fp2

type Output = Fp2

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Fp2) -> Fp2

Performs the * operation.

impl<'b> Mul<&'b Fp2> for Fp2

type Output = Fp2

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Fp2) -> Fp2

Performs the * operation.

impl<'a> Mul<Fp2> for &'a Fp2

type Output = Fp2

The resulting type after applying the * operator.

fn mul(self, rhs: Fp2) -> Fp2

Performs the * operation.

impl Mul<Fp2> for Fp2

type Output = Fp2

The resulting type after applying the * operator.

fn mul(self, rhs: Fp2) -> Fp2

Performs the * operation.

impl<'b> MulAssign<&'b Fp2> for Fp2

fn mul_assign(&mut self, rhs: &'b Fp2)

Performs the *= operation.

impl MulAssign<Fp2> for Fp2

fn mul_assign(&mut self, rhs: Fp2)

Performs the *= operation.

impl<'a> Neg for &'a Fp2

type Output = Fp2

The resulting type after applying the - operator.

fn neg(self) -> Fp2

Performs the unary - operation.

impl Neg for Fp2

type Output = Fp2

The resulting type after applying the - operator.

fn neg(self) -> Fp2

Performs the unary - operation.

impl Ord for Fp2

Fq2 elements are ordered lexicographically.

fn cmp(&self, other: &Fp2) -> Ordering

This method returns an Ordering between self and other.

#[must_use]fn max(self, other: Self) -> Self

Compares and returns the maximum of two values.

#[must_use]fn min(self, other: Self) -> Self

Compares and returns the minimum of two values.

#[must_use]fn clamp(self, min: Self, max: Self) -> Self

🔬 This is a nightly-only experimental API. (clamp)

Restrict a value to a certain interval.

impl PartialEq<Fp2> for Fp2

fn eq(&self, other: &Self) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl PartialOrd<Fp2> for Fp2

fn partial_cmp(&self, other: &Fp2) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

#[must_use]fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

#[must_use]fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

#[must_use]fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

#[must_use]fn ge(&self, other: &Rhs) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl SqrtField for Fp2

fn legendre(&self) -> LegendreSymbol

Returns the Legendre symbol of the field element.

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

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

impl<'a, 'b> Sub<&'b Fp2> for &'a Fp2

type Output = Fp2

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Fp2) -> Fp2

Performs the - operation.

impl<'b> Sub<&'b Fp2> for Fp2

type Output = Fp2

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Fp2) -> Fp2

Performs the - operation.

impl<'a> Sub<Fp2> for &'a Fp2

type Output = Fp2

The resulting type after applying the - operator.

fn sub(self, rhs: Fp2) -> Fp2

Performs the - operation.

impl Sub<Fp2> for Fp2

type Output = Fp2

The resulting type after applying the - operator.

fn sub(self, rhs: Fp2) -> Fp2

Performs the - operation.

impl<'b> SubAssign<&'b Fp2> for Fp2

fn sub_assign(&mut self, rhs: &'b Fp2)

Performs the -= operation.

impl SubAssign<Fp2> for Fp2

fn sub_assign(&mut self, rhs: Fp2)

Performs the -= operation.