Struct FieldElement

pub struct FieldElement(pub [i64; 16]);

Element of the base field of the elliptic curve

Tuple Fields

0: [i64; 16]

Trait Implementations

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

fn add(self, other: &'b FieldElement) -> FieldElement

Addition of field elements

type Output = FieldElement

The resulting type after applying the + operator.

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

fn add_assign(&mut self, other: &'b FieldElement)

Performs the += operation.

impl Clone for FieldElement

fn clone(&self) -> FieldElement

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl ConditionallySelectable for FieldElement

fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self

Select a or b 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.

fn conditional_assign(&mut self, other: &Self, choice: Choice)

Conditionally assign other to self, according to choice.

impl ConstantTimeEq for FieldElement

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 FieldElement

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

Formats the value using the given formatter.

impl Default for FieldElement

fn default() -> FieldElement

Returns the “default value” for a type.

impl FieldImplementation for FieldElement

fn pow2523(&self) -> FieldElement

TODO: figure out why this doesn’t pass the test at the end

const ZERO: Self

const ONE: Self

const D: Self

const D2: Self

const EDWARDS_BASEPOINT_X: Self

const EDWARDS_BASEPOINT_Y: Self

const I: Self

const APLUS2_OVER_FOUR: Self

const MONTGOMERY_BASEPOINT_U: Self

type Limbs = [i64; 16]

Internal representation as limbs

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

to canonical representation as little-endian bytes

fn from_bytes_unchecked(bytes: &[u8; 32]) -> FieldElement

construct from canonical representation as little-endian bytes

fn inverse(&self) -> FieldElement

fn from_unreduced_bytes(bytes: &[u8; 32]) -> Self

construct from possibly non-canonical representation as little-endian bytes

fn from_bytes(bytes: &[u8; 32]) -> Result<Self>

construct from canonical representation as little-endian bytes, with validity check

fn parity(&self) -> u8

parity of field element, viewed as integer modulo 2**255 - 19

fn squared(&self) -> Self

default implementation, actual implementation may override this with a faster version

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

type Output = FieldElement

The resulting type after applying the * operator.

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

Performs the * operation.

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

fn mul_assign(&mut self, other: &'b FieldElement)

Performs the *= operation.

impl<'a> Neg for &'a FieldElement

fn neg(self) -> FieldElement

Subition of field elements

type Output = FieldElement

The resulting type after applying the - operator.

impl PartialEq for FieldElement

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, 'b> Sub<&'b FieldElement> for &'a FieldElement

fn sub(self, other: &'b FieldElement) -> FieldElement

Subition of field elements

type Output = FieldElement

The resulting type after applying the - operator.

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

fn sub_assign(&mut self, other: &'b FieldElement)

Performs the -= operation.

impl Zeroize for FieldElement

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 FieldElement