Trait AffineRepr

Source

pub trait AffineRepr:
    Sized
    + Eq
    + 'static
    + CanonicalSerialize
    + CanonicalDeserialize
    + Copy
    + Clone
    + Default
    + UniformRand
    + Send
    + Sync
    + Hash
    + Debug
    + Display
    + Zeroize
    + Neg
    + From<Self::Group>
    + Into<Self::Group>
    + Add<Output = Self::Group, Output = Self::Group, Output = Self::Group, Output = Self::Group>
    + for<'a> Add<&'a Self>
    + Add<Self::Group>
    + for<'a> Add<&'a Self::Group>
    + Sub<Output = Self::Group, Output = Self::Group, Output = Self::Group, Output = Self::Group>
    + for<'a> Sub<&'a Self>
    + Sub<Self::Group>
    + for<'a> Sub<&'a Self::Group>
    + Mul<Self::ScalarField, Output = Self::Group, Output = Self::Group>
    + for<'a> Mul<&'a Self::ScalarField> {
    type Config: CurveConfig<ScalarField = Self::ScalarField, BaseField = Self::BaseField>;
    type ScalarField: PrimeField + Into<<Self::ScalarField as PrimeField>::BigInt>;
    type BaseField: Field;
    type Group: CurveGroup<Config = Self::Config, Affine = Self, ScalarField = Self::ScalarField, BaseField = Self::BaseField> + From<Self> + Into<Self> + MulAssign<Self::ScalarField>;

Show 13 methods    // Required methods
    fn xy(&self) -> Option<(Self::BaseField, Self::BaseField)>;
    fn zero() -> Self;
    fn generator() -> Self;
    fn from_random_bytes(bytes: &[u8]) -> Option<Self>;
    fn mul_bigint(&self, by: impl AsRef<[u64]>) -> Self::Group;
    fn clear_cofactor(&self) -> Self;
    fn mul_by_cofactor_to_group(&self) -> Self::Group;

    // Provided methods
    fn x(&self) -> Option<Self::BaseField> { ... }
    fn y(&self) -> Option<Self::BaseField> { ... }
    fn is_zero(&self) -> bool { ... }
    fn into_group(self) -> Self::Group { ... }
    fn mul_by_cofactor(&self) -> Self { ... }
    fn mul_by_cofactor_inv(&self) -> Self { ... }
}

Expand description

The canonical representation of an elliptic curve group element. This should represent the affine coordinates of the point corresponding to this group element.

The point is guaranteed to be in the correct prime order subgroup.

Required Associated Types§

Source

type Config: CurveConfig<ScalarField = Self::ScalarField, BaseField = Self::BaseField>

Source

type ScalarField: PrimeField + Into<<Self::ScalarField as PrimeField>::BigInt>

Source

type BaseField: Field

The finite field over which this curve is defined.

Source

type Group: CurveGroup<Config = Self::Config, Affine = Self, ScalarField = Self::ScalarField, BaseField = Self::BaseField> + From<Self> + Into<Self> + MulAssign<Self::ScalarField>

The projective representation of points on this curve.

Required Methods§

Source

fn xy(&self) -> Option<(Self::BaseField, Self::BaseField)>

Returns the x and y coordinates of this affine point.

Source

fn zero() -> Self

Returns the point at infinity.

Source

fn generator() -> Self

Returns a fixed generator of unknown exponent.

Source

fn from_random_bytes(bytes: &[u8]) -> Option<Self>

Returns a group element if the set of bytes forms a valid group element, otherwise returns None. This function is primarily intended for sampling random group elements from a hash-function or RNG output.

Source