Trait Field

pub trait Field:
    Sized
    + Eq
    + Copy
    + Clone
    + Default
    + Send
    + Sync
    + Debug
    + Display
    + Hash
    + 'static
    + Neg<Output = Self>
    + Add<Output = Self>
    + Sub<Output = Self>
    + Mul<Output = Self>
    + Sum
    + Product
    + for<'a> Add<&'a Self, Output = Self>
    + for<'a> Sub<&'a Self, Output = Self>
    + for<'a> Mul<&'a Self, Output = Self>
    + for<'a> Sum<&'a Self>
    + for<'a> Product<&'a Self>
    + AddAssign
    + SubAssign
    + MulAssign
    + for<'a> AddAssign<&'a Self>
    + for<'a> SubAssign<&'a Self>
    + for<'a> MulAssign<&'a Self>
    + Square
    + InvertOrZero
    + Random
    + WithUnderlier<Underlier: PackScalar<Self>>
    + SerializeBytes
    + DeserializeBytes {
    const ZERO: Self;
    const ONE: Self;
    const CHARACTERISTIC: usize;

    // Required method
    fn double(&self) -> Self;

    // Provided methods
    fn is_zero(&self) -> bool { ... }
    fn invert(&self) -> Option<Self> { ... }
    fn pow<S: AsRef<[u64]>>(&self, exp: S) -> Self { ... }
    fn pow_vartime<S: AsRef<[u64]>>(&self, exp: S) -> Self { ... }
}

This trait is based on ff::Field with some unused functionality removed.

Required Associated Constants

const ZERO: Self

The zero element of the field, the additive identity.

const ONE: Self

The one element of the field, the multiplicative identity.

const CHARACTERISTIC: usize

The characteristic of the field.

Required Methods

fn double(&self) -> Self

Doubles this element.

Provided Methods

fn is_zero(&self) -> bool

Returns true iff this element is zero.

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

Computes the multiplicative inverse of this element, failing if the element is zero.

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

Exponentiates self by exp, where exp is a little-endian order integer exponent.

Guarantees

This operation is constant time with respect to self, for all exponents with the same number of digits (exp.as_ref().len()). It is variable time with respect to the number of digits in the exponent.

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

Exponentiates self by exp, where exp is a little-endian order integer exponent.

Guarantees

This operation is variable time with respect to self, for all exponent. If the exponent is fixed, this operation is effectively constant time. However, for stronger constant-time guarantees, Field::pow should be used.

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.

Implementors

impl Field for AESTowerField8b

const ZERO: Self

const ONE: Self

const CHARACTERISTIC: usize = 2usize

impl Field for BinaryField1b

const ZERO: Self

const ONE: Self

const CHARACTERISTIC: usize = 2usize

impl Field for BinaryField128bGhash

const ZERO: Self

const ONE: Self

const CHARACTERISTIC: usize = 2usize