Struct Fr

pub struct Fr(/* private fields */);

Implementations

impl Fr

pub const ZERO: Self = _

pub const ONE: Self = _

pub fn to_bytes_le(&self) -> [u8; 32]

pub fn square(&self) -> Fr

pub fn inverse(&self) -> Option<Fr>

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

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

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

pub fn neg(self) -> Fr

impl Fr

pub const MODULUS_LIMBS: [u64; 4] = _

pub const MODULUS_MINUS_ONE_DIV_TWO_LIMBS: [u64; 4] = _

pub const MODULUS_BIT_SIZE: u32 = 251u32

pub const TRACE_LIMBS: [u64; 4] = _

pub const TRACE_MINUS_ONE_DIV_TWO_LIMBS: [u64; 4] = _

pub const TWO_ADICITY: u32 = 1u32

pub const MULTIPLICATIVE_GENERATOR: Self = _

pub const TWO_ADIC_ROOT_OF_UNITY: Self = _

pub const FIELD_SIZE_POWER_OF_TWO: Self = _

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

pub fn from_bytes_checked(bytes: &[u8; 32]) -> Result<Self, EncodingError>

Convert bytes into an Fr element, returning None if these bytes are not already reduced.

This means that values that cannot be produced by encoding a field element will return None, enforcing canonical serialization.

pub fn to_bytes(&self) -> [u8; 32]

pub fn rand<R: CryptoRngCore>(rng: &mut R) -> Self

Sample a random field element uniformly.

Trait Implementations

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

type Output = Fr

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<&'a mut Fr> for Fr

type Output = Fr

The resulting type after applying the + operator.

fn add(self, other: &'a mut Self) -> Self

Performs the + operation.

impl<'a> AddAssign<&'a Fr> for Fr

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

Performs the += operation.

impl<'a> AddAssign<&'a mut Fr> for Fr

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

Performs the += operation.

impl Clone for Fr

fn clone(&self) -> Fr

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Distribution<Fr> for Standard

fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Fr

Generate a random value of T, using rng as the source of randomness.

fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>

where R: Rng, Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness.

fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>

where F: Fn(T) -> S, Self: Sized,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F

impl<'a> Div<&'a Fr> for Fr

type Output = Fr

The resulting type after applying the / operator.

fn div(self, other: &Self) -> Self

Performs the / operation.

impl<'a> Div<&'a mut Fr> for Fr

type Output = Fr

The resulting type after applying the / operator.

fn div(self, other: &'a mut Self) -> Self

Performs the / operation.

impl<'a> DivAssign<&'a Fr> for Fr

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

Performs the /= operation.

impl<'a> DivAssign<&'a mut Fr> for Fr

fn div_assign(&mut self, other: &'a mut Self)

Performs the /= operation.

impl From<Fr> for BigInt<4>

fn from(fr: Fr) -> Self

Converts to this type from the input type.

impl From<Fr> for BigUint

fn from(other: Fr) -> Self

Converts to this type from the input type.

impl<'a, 'b> Mul<&'b Fr> for &'a Element

type Output = Element

The resulting type after applying the * operator.

fn mul(self, point: &'b Fr) -> Element

Performs the * operation.

impl<'b> Mul<&'b Fr> for Element

type Output = Element

The resulting type after applying the * operator.

fn mul(self, other: &'b Fr) -> Element

Performs the * operation.

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

type Output = Fr

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<&'a mut Fr> for Fr

type Output = Fr

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<Fr> for &'a Element

type Output = Element

The resulting type after applying the * operator.

fn mul(self, other: Fr) -> Element

Performs the * operation.

impl Mul<Fr> for Element

type Output = Element

The resulting type after applying the * operator.

fn mul(self, other: Fr) -> Element

Performs the * operation.

impl<'b> MulAssign<&'b Fr> for Element

fn mul_assign(&mut self, point: &'b Fr)

Performs the *= operation.

impl<'a> MulAssign<&'a Fr> for Fr

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

Performs the *= operation.

impl<'a> MulAssign<&'a mut Fr> for Fr

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

Performs the *= operation.

impl MulAssign<Fr> for Element

fn mul_assign(&mut self, other: Fr)

Performs the *= operation.

impl PartialEq for Fr

fn eq(&self, other: &Self) -> 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> Product<&'a Fr> for Fr

fn product<I: Iterator<Item = &'a Self>>(iter: I) -> Self

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

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

type Output = Fr

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<&'a mut Fr> for Fr

type Output = Fr

The resulting type after applying the - operator.

fn sub(self, other: &'a mut Self) -> Self

Performs the - operation.

impl<'a> SubAssign<&'a Fr> for Fr

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

Performs the -= operation.

impl<'a> SubAssign<&'a mut Fr> for Fr

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

Performs the -= operation.

impl<'a> Sum<&'a Fr> for Fr

fn sum<I: Iterator<Item = &'a Self>>(iter: I) -> Self

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

impl Zeroize for Fr

fn zeroize(&mut self)

Zero out this object from memory using Rust intrinsics which ensure the zeroization operation is not “optimized away” by the compiler.

impl Copy for Fr

impl Eq for Fr