Trait snarkvm_curves::traits::pairing_engine::ProjectiveCurve[−][src]

pub trait ProjectiveCurve: Eq + Sized + ToBytes + FromBytes + CanonicalSerialize + ConstantSerializedSize + CanonicalDeserialize + Copy + Clone + Default + Send + Sync + Hash + Debug + Display + UniformRand + Zero + 'static + Neg<Output = Self> + for<'a> Add<&'a Self, Output = Self> + for<'a> Sub<&'a Self, Output = Self> + for<'a> AddAssign<&'a Self> + for<'a> SubAssign<&'a Self> + From<Self::Affine> {
    type ScalarField: PrimeField + SquareRootField + Into<<Self::ScalarField as PrimeField>::BigInteger>;
    type BaseField: Field;
    type Affine: AffineCurve<Projective = Self, ScalarField = Self::ScalarField> + From<Self> + Into<Self>;
    #[must_use]
    fn prime_subgroup_generator() -> Self;

    fn batch_normalization(v: &mut [Self]);

    #[must_use]
    fn is_normalized(&self) -> bool;

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

    fn add_assign_mixed(&mut self, other: &Self::Affine);

    fn mul_assign<S: Into<<Self::ScalarField as PrimeField>::BigInteger>>(
        &mut self, 
        other: S
    );

    #[must_use]
    fn into_affine(&self) -> Self::Affine;

    #[must_use]
    fn recommended_wnaf_for_scalar(
        scalar: <Self::ScalarField as PrimeField>::BigInteger
    ) -> usize;

    #[must_use]
    fn recommended_wnaf_for_num_scalars(num_scalars: usize) -> usize;

    fn batch_normalization_into_affine(v: Vec<Self>) -> Vec<Self::Affine> { ... }

    #[must_use]
    fn double(&self) -> Self { ... }
}
Expand description

Projective representation of an elliptic curve point guaranteed to be in the correct prime order subgroup.

Associated Types

type ScalarField: PrimeField + SquareRootField + Into<<Self::ScalarField as PrimeField>::BigInteger>[src]

type BaseField: Field[src]

type Affine: AffineCurve<Projective = Self, ScalarField = Self::ScalarField> + From<Self> + Into<Self>[src]

Required methods

#[must_use]
fn prime_subgroup_generator() -> Self[src]

Returns a fixed generator of unknown exponent.

fn batch_normalization(v: &mut [Self])[src]

Normalizes a slice of projective elements so that conversion to affine is cheap.

#[must_use]
fn is_normalized(&self) -> bool[src]

Checks if the point is already “normalized” so that cheap affine conversion is possible.

fn double_in_place(&mut self) -> &mut Self[src]

fn add_assign_mixed(&mut self, other: &Self::Affine)[src]

Adds an affine element to this element.

fn mul_assign<S: Into<<Self::ScalarField as PrimeField>::BigInteger>>(
    &mut self,
    other: S
)[src]

Performs scalar multiplication of this element.

#[must_use]
fn into_affine(&self) -> Self::Affine[src]

Converts this element into its affine representation.

#[must_use]
fn recommended_wnaf_for_scalar(
    scalar: <Self::ScalarField as PrimeField>::BigInteger
) -> usize[src]

Recommends a wNAF window table size given a scalar. Always returns a number between 2 and 22, inclusive.

#[must_use]
fn recommended_wnaf_for_num_scalars(num_scalars: usize) -> usize[src]

Recommends a wNAF window size given the number of scalars you intend to multiply a base by. Always returns a number between 2 and 22, inclusive.

Provided methods

fn batch_normalization_into_affine(v: Vec<Self>) -> Vec<Self::Affine>[src]

Normalizes a slice of projective elements and outputs a vector containing the affine equivalents.

#[must_use]
fn double(&self) -> Self[src]

Doubles this element.

Implementors

impl<P: Parameters> ProjectiveCurve for snarkvm_curves::templates::short_weierstrass::short_weierstrass_jacobian::GroupProjective<P>[src]

type Affine = GroupAffine<P>

type BaseField = P::BaseField

type ScalarField = P::ScalarField

fn prime_subgroup_generator() -> Self[src]

fn is_normalized(&self) -> bool[src]

fn batch_normalization(v: &mut [Self])[src]

fn double_in_place(&mut self) -> &mut Self[src]

fn add_assign_mixed(&mut self, other: &Self::Affine)[src]

fn mul_assign<S: Into<<Self::ScalarField as PrimeField>::BigInteger>>(
    &mut self,
    other: S
)[src]

fn into_affine(&self) -> GroupAffine<P>[src]

fn recommended_wnaf_for_scalar(
    scalar: <Self::ScalarField as PrimeField>::BigInteger
) -> usize[src]

fn recommended_wnaf_for_num_scalars(num_scalars: usize) -> usize[src]

impl<P: Parameters> ProjectiveCurve for snarkvm_curves::templates::short_weierstrass::short_weierstrass_projective::GroupProjective<P>[src]

type Affine = GroupAffine<P>

type BaseField = P::BaseField

type ScalarField = P::ScalarField

fn prime_subgroup_generator() -> Self[src]

fn is_normalized(&self) -> bool[src]

fn batch_normalization(v: &mut [Self])[src]

fn double_in_place(&mut self) -> &mut Self[src]

fn add_assign_mixed(&mut self, other: &Self::Affine)[src]

fn mul_assign<S: Into<<Self::ScalarField as PrimeField>::BigInteger>>(
    &mut self,
    other: S
)[src]

fn into_affine(&self) -> GroupAffine<P>[src]

fn recommended_wnaf_for_scalar(
    scalar: <Self::ScalarField as PrimeField>::BigInteger
) -> usize[src]

fn recommended_wnaf_for_num_scalars(num_scalars: usize) -> usize[src]

impl<P: Parameters> ProjectiveCurve for snarkvm_curves::templates::twisted_edwards_extended::GroupProjective<P>[src]

type Affine = GroupAffine<P>

type BaseField = P::BaseField

type ScalarField = P::ScalarField

fn prime_subgroup_generator() -> Self[src]

fn is_normalized(&self) -> bool[src]

fn batch_normalization(v: &mut [Self])[src]

fn double_in_place(&mut self) -> &mut Self[src]

fn add_assign_mixed(&mut self, other: &Self::Affine)[src]

fn mul_assign<S: Into<<Self::ScalarField as PrimeField>::BigInteger>>(
    &mut self,
    other: S
)[src]

fn into_affine(&self) -> GroupAffine<P>[src]

fn recommended_wnaf_for_scalar(
    scalar: <Self::ScalarField as PrimeField>::BigInteger
) -> usize[src]

fn recommended_wnaf_for_num_scalars(num_scalars: usize) -> usize[src]