Trait AdditiveGroup

pub trait AdditiveGroup:
    Sized
    + Eq
    + 'static
    + CanonicalSerialize
    + CanonicalDeserialize
    + Copy
    + Clone
    + Default
    + Send
    + Sync
    + Hash
    + Debug
    + Display
    + UniformRand
    + Zeroize
    + Zero<Output = Self, Output = Self, Output = Self>
    + Neg<Output = Self>
    + Add
    + Sub<Output = Self, Output = Self, Output = Self>
    + Mul<Self::Scalar, Output = Self, Output = Self, Output = Self>
    + AddAssign
    + SubAssign
    + MulAssign<Self::Scalar>
    + for<'a> Add<&'a Self>
    + for<'a> Sub<&'a Self>
    + for<'a> Mul<&'a Self::Scalar>
    + for<'a> AddAssign<&'a Self>
    + for<'a> SubAssign<&'a Self>
    + for<'a> MulAssign<&'a Self::Scalar>
    + for<'a> Add<&'a mut Self>
    + for<'a> Sub<&'a mut Self>
    + for<'a> Mul<&'a mut Self::Scalar>
    + for<'a> AddAssign<&'a mut Self>
    + for<'a> SubAssign<&'a mut Self>
    + for<'a> MulAssign<&'a mut Self::Scalar>
    + Sum
    + for<'a> Sum<&'a Self> {
    type Scalar: Field;

    const ZERO: Self;

    // Provided methods
    fn double(&self) -> Self { ... }
    fn double_in_place(&mut self) -> &mut Self { ... }
    fn neg_in_place(&mut self) -> &mut Self { ... }
}

Required Associated Constants

const ZERO: Self

The additive identity of the field.

Required Associated Types

type Scalar: Field

Provided Methods

fn double(&self) -> Self

Doubles self.

fn double_in_place(&mut self) -> &mut Self

Doubles self in place.

fn neg_in_place(&mut self) -> &mut Self

Negates self in place.

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<P> AdditiveGroup for CubicExtField<P>

where P: CubicExtConfig,

const ZERO: CubicExtField<P>

type Scalar = CubicExtField<P>

impl<P> AdditiveGroup for QuadExtField<P>

where P: QuadExtConfig,

const ZERO: QuadExtField<P>

type Scalar = QuadExtField<P>

impl<P, const N: usize> AdditiveGroup for Fp<P, N>

where P: FpConfig<N>,

const ZERO: Fp<P, N> = P::ZERO

type Scalar = Fp<P, N>

impl<P: SWCurveConfig> AdditiveGroup for ark_ec::models::short_weierstrass::Projective<P>

const ZERO: Self

type Scalar = <P as CurveConfig>::ScalarField

impl<P: TECurveConfig> AdditiveGroup for ark_ec::models::twisted_edwards::Projective<P>

const ZERO: Self

type Scalar = <P as CurveConfig>::ScalarField

impl<P: Pairing> AdditiveGroup for PairingOutput<P>

const ZERO: Self

type Scalar = <P as Pairing>::ScalarField