[−][src]Trait pairing_plus::CurveProjective
Projective representation of an elliptic curve point guaranteed to be in the correct prime order subgroup.
Associated Types
type Engine: Engine<Fr = Self::Scalar>
type Scalar: PrimeField + SqrtField
type Base: SqrtField
type Affine: CurveAffine<Projective = Self, Scalar = Self::Scalar>
Required methods
fn random<R: RngCore>(rng: &mut R) -> Self
Generate a random curve point.
fn zero() -> Self
Returns the additive identity.
fn one() -> Self
Returns a fixed generator of unknown exponent.
fn is_zero(&self) -> bool
Determines if this point is the point at infinity.
fn batch_normalization(v: &mut [Self])
Normalizes a slice of projective elements so that conversion to affine is cheap.
fn is_normalized(&self) -> bool
Checks if the point is already "normalized" so that cheap affine conversion is possible.
fn double(&mut self)
Doubles this element.
fn add_assign(&mut self, other: &Self)
Adds another element to this element.
fn add_assign_mixed(&mut self, other: &Self::Affine)
Adds an affine element to this element.
fn negate(&mut self)
Negates this element.
fn mul_assign<S: Into<<Self::Scalar as PrimeField>::Repr>>(&mut self, other: S)
Performs scalar multiplication of this element.
fn into_affine(&self) -> Self::Affine
Converts this element into its affine representation.
fn recommended_wnaf_for_scalar(
scalar: <Self::Scalar as PrimeField>::Repr
) -> usize
scalar: <Self::Scalar as PrimeField>::Repr
) -> usize
Recommends a wNAF window table size given a scalar. Always returns a number between 2 and 22, inclusive.
fn recommended_wnaf_for_num_scalars(num_scalars: usize) -> usize
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.
fn as_tuple(&self) -> (&Self::Base, &Self::Base, &Self::Base)
Borrow references to the X, Y, and Z coordinates of this point.
unsafe fn as_tuple_mut(
&mut self
) -> (&mut Self::Base, &mut Self::Base, &mut Self::Base)
&mut self
) -> (&mut Self::Base, &mut Self::Base, &mut Self::Base)
Borrow mutable references to the X, Y, and Z coordinates of this point. Unsafe, because incorrectly modifying the coordinates violates the guarantee that the point must be on the curve and in the correct subgroup.
Provided methods
fn sub_assign(&mut self, other: &Self)
Subtracts another element from this element.
fn sub_assign_mixed(&mut self, other: &Self::Affine)
Subtracts an affine element from this element
Implementors
impl CurveProjective for G1
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type Engine = Bls12
type Scalar = Fr
type Base = Fq
type Affine = G1Affine
fn random<R: RngCore>(rng: &mut R) -> Self
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fn zero() -> Self
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fn one() -> Self
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fn is_zero(&self) -> bool
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fn is_normalized(&self) -> bool
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fn batch_normalization(v: &mut [Self])
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fn double(&mut self)
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fn add_assign(&mut self, other: &Self)
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fn add_assign_mixed(&mut self, other: &Self::Affine)
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fn negate(&mut self)
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fn mul_assign<S: Into<<Self::Scalar as PrimeField>::Repr>>(&mut self, other: S)
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fn into_affine(&self) -> G1Affine
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fn recommended_wnaf_for_scalar(
scalar: <Self::Scalar as PrimeField>::Repr
) -> usize
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scalar: <Self::Scalar as PrimeField>::Repr
) -> usize
fn recommended_wnaf_for_num_scalars(num_scalars: usize) -> usize
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fn as_tuple(&self) -> (&Fq, &Fq, &Fq)
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unsafe fn as_tuple_mut(&mut self) -> (&mut Fq, &mut Fq, &mut Fq)
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impl CurveProjective for G2
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type Engine = Bls12
type Scalar = Fr
type Base = Fq2
type Affine = G2Affine
fn random<R: RngCore>(rng: &mut R) -> Self
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fn zero() -> Self
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fn one() -> Self
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fn is_zero(&self) -> bool
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fn is_normalized(&self) -> bool
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fn batch_normalization(v: &mut [Self])
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fn double(&mut self)
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fn add_assign(&mut self, other: &Self)
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fn add_assign_mixed(&mut self, other: &Self::Affine)
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fn negate(&mut self)
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fn mul_assign<S: Into<<Self::Scalar as PrimeField>::Repr>>(&mut self, other: S)
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fn into_affine(&self) -> G2Affine
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fn recommended_wnaf_for_scalar(
scalar: <Self::Scalar as PrimeField>::Repr
) -> usize
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scalar: <Self::Scalar as PrimeField>::Repr
) -> usize