Struct FieldElement 

pub struct FieldElement<const LIMBS: usize> {
    pub limbs: [u64; LIMBS],
}

A field element over a prime p, represented as LIMBS x u64 limbs in little-endian order (limbs[0] is least significant).

All arithmetic operations on FieldElement are constant-time and work modulo a per-call prime p supplied as a &[u64; LIMBS] (no implicit field association). The same struct is used by every short-Weierstrass curve in the crate; the LIMBS const tracks the prime size: 4 for P-256 / secp256k1 / brainpoolP256r1, 6 for P-384 / brainpoolP384r1, 8 for brainpoolP512r1, 9 for P-521.

Fields

limbs: [u64; LIMBS]

Limb storage in little-endian order (limbs[0] is least significant).

Implementations

impl<const LIMBS: usize> FieldElement<LIMBS>

pub const ZERO: Self

The zero element of the field (all limbs set to 0).

pub const fn one() -> Self

The one element of the field (limb 0 = 1, the rest 0).

pub fn is_zero(&self) -> bool

Returns true if every limb is zero. Constant-time across all limbs (no early-exit branch).

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

Encode from big-endian bytes.

pub fn to_bytes_be(&self) -> Vec<u8>

Encode to big-endian bytes.

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

Encode from little-endian bytes. Used by X25519 (RFC 7748) which is LE-native throughout, unlike the SEC1-era curves.

pub fn to_bytes_le(&self) -> Vec<u8>

Encode to little-endian bytes (LIMBS*8 bytes).

Trait Implementations

impl<const LIMBS: usize> Clone for FieldElement<LIMBS>

fn clone(&self) -> FieldElement<LIMBS>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<const LIMBS: usize> Debug for FieldElement<LIMBS>

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

Formats the value using the given formatter.

impl<const LIMBS: usize> PartialEq for FieldElement<LIMBS>

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<const LIMBS: usize> Copy for FieldElement<LIMBS>

impl<const LIMBS: usize> Eq for FieldElement<LIMBS>