Struct CurvePoint

pub struct CurvePoint<C: CurveGroup>(/* private fields */);

A wrapper around the inner point that allows us to define foreign traits on the point

Implementations

impl<C: CurveGroup> CurvePoint<C>

pub type BaseField = <C as CurveGroup>::BaseField

The base field that the curve is defined over, i.e. the field in which the curve equation’s coefficients lie

pub type ScalarField = <C as Group>::ScalarField

The scalar field of the curve, i.e. Z/rZ where r is the curve group’s order

pub fn identity() -> CurvePoint<C>

The additive identity in the curve group

pub fn is_identity(&self) -> bool

Check whether the given point is the identity point in the group

pub fn inner(&self) -> C

Return the wrapped type

pub fn to_affine(&self) -> C::Affine

Convert the point to affine

pub fn generator() -> CurvePoint<C>

The group generator

pub fn to_bytes(&self) -> Vec<u8>

Serialize this point to a byte buffer

pub fn from_bytes(bytes: &[u8]) -> Result<CurvePoint<C>, SerializationError>

Deserialize a point from a byte buffer

impl<C: CurveGroup> CurvePoint<C>

where C::BaseField: PrimeField,

pub fn n_bytes() -> usize

Get the number of bytes needed to represent a point, this is exactly the number of bytes for one base field element, as we can simply use the x-coordinate and set a high bit for the y

impl<C: CurveGroup> CurvePoint<C>

where C::Config: SWUConfig, C::BaseField: PrimeField,

pub fn from_uniform_bytes( buf: Vec<u8>, ) -> Result<CurvePoint<Projective<C::Config>>, HashToCurveError>

Convert a uniform byte buffer to a CurvePoint<C> via the SWU map-to-curve approach:

See https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-hash-to-curve-09#simple-swu for a description of the setup. Essentially, we assume that the buffer provided is the result of an extend_message implementation that gives us its uniform digest. From here we construct two field elements, map to curve, and add the points to give a uniformly distributed curve point

impl<C: CurveGroup> CurvePoint<C>

MSM Implementation

pub fn msm(scalars: &[Scalar<C>], points: &[CurvePoint<C>]) -> CurvePoint<C>

Compute the multiscalar multiplication of the given scalars and points

pub fn msm_iter<I, J>(scalars: I, points: J) -> CurvePoint<C>

where I: IntoIterator<Item = Scalar<C>>, J: IntoIterator<Item = CurvePoint<C>>,

Compute the multiscalar multiplication of the given scalars and points represented as streaming iterators

pub fn msm_results( scalars: &[ScalarResult<C>], points: &[CurvePoint<C>], ) -> CurvePointResult<C>

Compute the multiscalar multiplication of the given points with ScalarResults

pub fn msm_results_iter<I, J>(scalars: I, points: J) -> CurvePointResult<C>

where I: IntoIterator<Item = ScalarResult<C>>, J: IntoIterator<Item = CurvePoint<C>>,

Compute the multiscalar multiplication of the given points with ScalarResults as iterators. Assumes the iterators are non-empty

pub fn msm_authenticated( scalars: &[AuthenticatedScalarResult<C>], points: &[CurvePoint<C>], ) -> AuthenticatedPointResult<C>

Compute the multiscalar multiplication of the given authenticated scalars and plaintext points

pub fn msm_authenticated_iter<I, J>( scalars: I, points: J, ) -> AuthenticatedPointResult<C>

where I: IntoIterator<Item = AuthenticatedScalarResult<C>>, J: IntoIterator<Item = CurvePoint<C>>,

Compute the multiscalar multiplication of the given authenticated scalars and plaintext points as iterators This method assumes that the iterators are of the same length

Trait Implementations

impl<'a, C: CurveGroup> Add<&'a AuthenticatedPointResult<C>> for &'a CurvePoint<C>

lhs borrowed, rhs borrowed

type Output = AuthenticatedPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: &'a AuthenticatedPointResult<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<&'a AuthenticatedPointResult<C>> for CurvePoint<C>

lhs owned, rhs borrowed

type Output = AuthenticatedPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: &'a AuthenticatedPointResult<C>) -> Self::Output

Performs the + operation.

impl<C: CurveGroup> Add<&C> for &CurvePoint<C>

type Output = CurvePoint<C>

The resulting type after applying the + operator.

fn add(self, rhs: &C) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<&'a C> for CurvePoint<C>

lhs owned, rhs borrowed

type Output = CurvePoint<C>

The resulting type after applying the + operator.

fn add(self, rhs: &'a C) -> Self::Output

Performs the + operation.

impl<C: CurveGroup> Add<&CurvePoint<C>> for &AuthenticatedPointResult<C>

type Output = AuthenticatedPointResult<C>

The resulting type after applying the + operator.

fn add(self, other: &CurvePoint<C>) -> AuthenticatedPointResult<C>

Performs the + operation.

impl<C: CurveGroup> Add<&CurvePoint<C>> for &CurvePoint<C>

type Output = CurvePoint<C>

The resulting type after applying the + operator.

fn add(self, rhs: &CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<C: CurveGroup> Add<&CurvePoint<C>> for &MpcPointResult<C>

type Output = MpcPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: &CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<C: CurveGroup> Add<&CurvePoint<C>> for &CurvePointResult<C>

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the + operator.

fn add(self, rhs: &CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<&'a CurvePoint<C>> for AuthenticatedPointResult<C>

lhs owned, rhs borrowed

type Output = AuthenticatedPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<&'a CurvePoint<C>> for CurvePoint<C>

lhs owned, rhs borrowed

type Output = CurvePoint<C>

The resulting type after applying the + operator.

fn add(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<&'a CurvePoint<C>> for MpcPointResult<C>

lhs owned, rhs borrowed

type Output = MpcPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<&'a CurvePoint<C>> for CurvePointResult<C>

lhs owned, rhs borrowed

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the + operator.

fn add(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<&'a MpcPointResult<C>> for &'a CurvePoint<C>

lhs borrowed, rhs borrowed

type Output = MpcPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: &'a MpcPointResult<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<&'a MpcPointResult<C>> for CurvePoint<C>

lhs owned, rhs borrowed

type Output = MpcPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: &'a MpcPointResult<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<&'a ResultHandle<C, CurvePoint<C>>> for &'a CurvePoint<C>

lhs borrowed, rhs borrowed

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the + operator.

fn add(self, rhs: &'a CurvePointResult<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<&'a ResultHandle<C, CurvePoint<C>>> for CurvePoint<C>

lhs owned, rhs borrowed

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the + operator.

fn add(self, rhs: &'a CurvePointResult<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<AuthenticatedPointResult<C>> for &'a CurvePoint<C>

lhs borrowed, rhs owned

type Output = AuthenticatedPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: AuthenticatedPointResult<C>) -> Self::Output

Performs the + operation.

impl<C: CurveGroup> Add<AuthenticatedPointResult<C>> for CurvePoint<C>

lhs owned, rhs owned

type Output = AuthenticatedPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: AuthenticatedPointResult<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<C> for &'a CurvePoint<C>

lhs borrowed, rhs owned

type Output = CurvePoint<C>

The resulting type after applying the + operator.

fn add(self, rhs: C) -> Self::Output

Performs the + operation.

impl<C: CurveGroup> Add<C> for CurvePoint<C>

lhs owned, rhs owned

type Output = CurvePoint<C>

The resulting type after applying the + operator.

fn add(self, rhs: C) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<CurvePoint<C>> for &'a AuthenticatedPointResult<C>

lhs borrowed, rhs owned

type Output = AuthenticatedPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<CurvePoint<C>> for &'a CurvePoint<C>

lhs borrowed, rhs owned

type Output = CurvePoint<C>

The resulting type after applying the + operator.

fn add(self, rhs: CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<CurvePoint<C>> for &'a MpcPointResult<C>

lhs borrowed, rhs owned

type Output = MpcPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<CurvePoint<C>> for &'a CurvePointResult<C>

lhs borrowed, rhs owned

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the + operator.

fn add(self, rhs: CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<C: CurveGroup> Add<CurvePoint<C>> for AuthenticatedPointResult<C>

lhs owned, rhs owned

type Output = AuthenticatedPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<C: CurveGroup> Add<CurvePoint<C>> for MpcPointResult<C>

lhs owned, rhs owned

type Output = MpcPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<C: CurveGroup> Add<CurvePoint<C>> for CurvePointResult<C>

lhs owned, rhs owned

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the + operator.

fn add(self, rhs: CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<MpcPointResult<C>> for &'a CurvePoint<C>

lhs borrowed, rhs owned

type Output = MpcPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: MpcPointResult<C>) -> Self::Output

Performs the + operation.

impl<C: CurveGroup> Add<MpcPointResult<C>> for CurvePoint<C>

lhs owned, rhs owned

type Output = MpcPointResult<C>

The resulting type after applying the + operator.

fn add(self, rhs: MpcPointResult<C>) -> Self::Output

Performs the + operation.

impl<'a, C: CurveGroup> Add<ResultHandle<C, CurvePoint<C>>> for &'a CurvePoint<C>

lhs borrowed, rhs owned

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the + operator.

fn add(self, rhs: CurvePointResult<C>) -> Self::Output

Performs the + operation.

impl<C: CurveGroup> Add<ResultHandle<C, CurvePoint<C>>> for CurvePoint<C>

lhs owned, rhs owned

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the + operator.

fn add(self, rhs: CurvePointResult<C>) -> Self::Output

Performs the + operation.

impl<C: CurveGroup> Add for CurvePoint<C>

lhs owned, rhs owned

type Output = CurvePoint<C>

The resulting type after applying the + operator.

fn add(self, rhs: CurvePoint<C>) -> Self::Output

Performs the + operation.

impl<C: CurveGroup> AddAssign for CurvePoint<C>

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl<C: Clone + CurveGroup> Clone for CurvePoint<C>

fn clone(&self) -> CurvePoint<C>

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<C: Debug + CurveGroup> Debug for CurvePoint<C>

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl<'de, C: CurveGroup> Deserialize<'de> for CurvePoint<C>

fn deserialize<D: Deserializer<'de>>(deserializer: D) -> Result<Self, D::Error>

Deserialize this value from the given Serde deserializer.

impl<C: CurveGroup> From<&ResultValue<C>> for CurvePoint<C>

fn from(value: &ResultValue<C>) -> Self

Converts to this type from the input type.

impl<C: CurveGroup> From<C> for CurvePoint<C>

fn from(p: C) -> Self

Converts to this type from the input type.

impl<C: CurveGroup> From<CurvePoint<C>> for NetworkPayload<C>

fn from(point: CurvePoint<C>) -> Self

Converts to this type from the input type.

impl<C: CurveGroup> From<ResultValue<C>> for CurvePoint<C>

fn from(value: ResultValue<C>) -> Self

Converts to this type from the input type.

impl<C: CurveGroup> Mul<&AuthenticatedScalarResult<C>> for &CurvePoint<C>

type Output = AuthenticatedPointResult<C>

The resulting type after applying the * operator.

fn mul(self, rhs: &AuthenticatedScalarResult<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<&'a CurvePoint<C>> for &'a AuthenticatedScalarResult<C>

lhs borrowed, rhs borrowed

type Output = AuthenticatedPointResult<C>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<&'a CurvePoint<C>> for &'a MpcScalarResult<C>

lhs borrowed, rhs borrowed

type Output = MpcPointResult<C>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<&'a CurvePoint<C>> for &'a ScalarResult<C>

lhs borrowed, rhs borrowed

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<&'a CurvePoint<C>> for &'a Scalar<C>

lhs borrowed, rhs borrowed

type Output = CurvePoint<C>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<&'a CurvePoint<C>> for AuthenticatedScalarResult<C>

lhs owned, rhs borrowed

type Output = AuthenticatedPointResult<C>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<&'a CurvePoint<C>> for MpcScalarResult<C>

lhs owned, rhs borrowed

type Output = MpcPointResult<C>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<&'a CurvePoint<C>> for ScalarResult<C>

lhs owned, rhs borrowed

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<&'a CurvePoint<C>> for Scalar<C>

lhs owned, rhs borrowed

type Output = CurvePoint<C>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<C: CurveGroup> Mul<&MpcScalarResult<C>> for &CurvePoint<C>

type Output = MpcPointResult<C>

The resulting type after applying the * operator.

fn mul(self, rhs: &MpcScalarResult<C>) -> Self::Output

Performs the * operation.

impl<C: CurveGroup> Mul<&ResultHandle<C, Scalar<C>>> for &CurvePoint<C>

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the * operator.

fn mul(self, rhs: &ScalarResult<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<&'a ResultHandle<C, Scalar<C>>> for CurvePoint<C>

lhs owned, rhs borrowed

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a ScalarResult<C>) -> Self::Output

Performs the * operation.

impl<C: CurveGroup> Mul<&Scalar<C>> for &CurvePoint<C>

type Output = CurvePoint<C>

The resulting type after applying the * operator.

fn mul(self, rhs: &Scalar<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<&'a Scalar<C>> for CurvePoint<C>

lhs owned, rhs borrowed

type Output = CurvePoint<C>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a Scalar<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<CurvePoint<C>> for &'a AuthenticatedScalarResult<C>

lhs borrowed, rhs owned

type Output = AuthenticatedPointResult<C>

The resulting type after applying the * operator.

fn mul(self, rhs: CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<CurvePoint<C>> for &'a MpcScalarResult<C>

lhs borrowed, rhs owned

type Output = MpcPointResult<C>

The resulting type after applying the * operator.

fn mul(self, rhs: CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<CurvePoint<C>> for &'a ScalarResult<C>

lhs borrowed, rhs owned

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the * operator.

fn mul(self, rhs: CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<CurvePoint<C>> for &'a Scalar<C>

lhs borrowed, rhs owned

type Output = CurvePoint<C>

The resulting type after applying the * operator.

fn mul(self, rhs: CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<C: CurveGroup> Mul<CurvePoint<C>> for AuthenticatedScalarResult<C>

lhs owned, rhs owned

type Output = AuthenticatedPointResult<C>

The resulting type after applying the * operator.

fn mul(self, rhs: CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<C: CurveGroup> Mul<CurvePoint<C>> for MpcScalarResult<C>

lhs owned, rhs owned

type Output = MpcPointResult<C>

The resulting type after applying the * operator.

fn mul(self, rhs: CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<C: CurveGroup> Mul<CurvePoint<C>> for ScalarResult<C>

lhs owned, rhs owned

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the * operator.

fn mul(self, rhs: CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<C: CurveGroup> Mul<CurvePoint<C>> for Scalar<C>

lhs owned, rhs owned

type Output = CurvePoint<C>

The resulting type after applying the * operator.

fn mul(self, rhs: CurvePoint<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<ResultHandle<C, Scalar<C>>> for &'a CurvePoint<C>

lhs borrowed, rhs owned

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the * operator.

fn mul(self, rhs: ScalarResult<C>) -> Self::Output

Performs the * operation.

impl<C: CurveGroup> Mul<ResultHandle<C, Scalar<C>>> for CurvePoint<C>

lhs owned, rhs owned

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the * operator.

fn mul(self, rhs: ScalarResult<C>) -> Self::Output

Performs the * operation.

impl<'a, C: CurveGroup> Mul<Scalar<C>> for &'a CurvePoint<C>

lhs borrowed, rhs owned

type Output = CurvePoint<C>

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar<C>) -> Self::Output

Performs the * operation.

impl<C: CurveGroup> Mul<Scalar<C>> for CurvePoint<C>

lhs owned, rhs owned

type Output = CurvePoint<C>

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar<C>) -> Self::Output

Performs the * operation.

impl<C: CurveGroup> MulAssign<&Scalar<C>> for CurvePoint<C>

fn mul_assign(&mut self, rhs: &Scalar<C>)

Performs the *= operation.

impl<C: CurveGroup> Neg for &CurvePoint<C>

type Output = CurvePoint<C>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<C: CurveGroup> Neg for CurvePoint<C>

type Output = CurvePoint<C>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<C: PartialEq + CurveGroup> PartialEq for CurvePoint<C>

fn eq(&self, other: &CurvePoint<C>) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl<C: CurveGroup> Serialize for CurvePoint<C>

fn serialize<S: Serializer>(&self, serializer: S) -> Result<S::Ok, S::Error>

Serialize this value into the given Serde serializer.

impl<'a, C: CurveGroup> Sub<&'a AuthenticatedPointResult<C>> for &'a CurvePoint<C>

lhs borrowed, rhs borrowed

type Output = AuthenticatedPointResult<C>

The resulting type after applying the - operator.

fn sub(self, rhs: &'a AuthenticatedPointResult<C>) -> Self::Output

Performs the - operation.

impl<'a, C: CurveGroup> Sub<&'a AuthenticatedPointResult<C>> for CurvePoint<C>

lhs owned, rhs borrowed

type Output = AuthenticatedPointResult<C>

The resulting type after applying the - operator.

fn sub(self, rhs: &'a AuthenticatedPointResult<C>) -> Self::Output

Performs the - operation.

impl<C: CurveGroup> Sub<&CurvePoint<C>> for &AuthenticatedPointResult<C>

type Output = AuthenticatedPointResult<C>

The resulting type after applying the - operator.

fn sub(self, other: &CurvePoint<C>) -> AuthenticatedPointResult<C>

Performs the - operation.

impl<C: CurveGroup> Sub<&CurvePoint<C>> for &CurvePoint<C>

type Output = CurvePoint<C>

The resulting type after applying the - operator.

fn sub(self, rhs: &CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<C: CurveGroup> Sub<&CurvePoint<C>> for &MpcPointResult<C>

type Output = MpcPointResult<C>

The resulting type after applying the - operator.

fn sub(self, rhs: &CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<C: CurveGroup> Sub<&CurvePoint<C>> for &CurvePointResult<C>

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the - operator.

fn sub(self, rhs: &CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<'a, C: CurveGroup> Sub<&'a CurvePoint<C>> for AuthenticatedPointResult<C>

lhs owned, rhs borrowed

type Output = AuthenticatedPointResult<C>

The resulting type after applying the - operator.

fn sub(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<'a, C: CurveGroup> Sub<&'a CurvePoint<C>> for CurvePoint<C>

lhs owned, rhs borrowed

type Output = CurvePoint<C>

The resulting type after applying the - operator.

fn sub(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<'a, C: CurveGroup> Sub<&'a CurvePoint<C>> for MpcPointResult<C>

lhs owned, rhs borrowed

type Output = MpcPointResult<C>

The resulting type after applying the - operator.

fn sub(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<'a, C: CurveGroup> Sub<&'a CurvePoint<C>> for CurvePointResult<C>

lhs owned, rhs borrowed

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the - operator.

fn sub(self, rhs: &'a CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<C: CurveGroup> Sub<&ResultHandle<C, CurvePoint<C>>> for &CurvePoint<C>

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the - operator.

fn sub(self, rhs: &CurvePointResult<C>) -> Self::Output

Performs the - operation.

impl<'a, C: CurveGroup> Sub<AuthenticatedPointResult<C>> for &'a CurvePoint<C>

lhs borrowed, rhs owned

type Output = AuthenticatedPointResult<C>

The resulting type after applying the - operator.

fn sub(self, rhs: AuthenticatedPointResult<C>) -> Self::Output

Performs the - operation.

impl<C: CurveGroup> Sub<AuthenticatedPointResult<C>> for CurvePoint<C>

lhs owned, rhs owned

type Output = AuthenticatedPointResult<C>

The resulting type after applying the - operator.

fn sub(self, rhs: AuthenticatedPointResult<C>) -> Self::Output

Performs the - operation.

impl<'a, C: CurveGroup> Sub<CurvePoint<C>> for &'a AuthenticatedPointResult<C>

lhs borrowed, rhs owned

type Output = AuthenticatedPointResult<C>

The resulting type after applying the - operator.

fn sub(self, rhs: CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<'a, C: CurveGroup> Sub<CurvePoint<C>> for &'a CurvePoint<C>

lhs borrowed, rhs owned

type Output = CurvePoint<C>

The resulting type after applying the - operator.

fn sub(self, rhs: CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<'a, C: CurveGroup> Sub<CurvePoint<C>> for &'a MpcPointResult<C>

lhs borrowed, rhs owned

type Output = MpcPointResult<C>

The resulting type after applying the - operator.

fn sub(self, rhs: CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<'a, C: CurveGroup> Sub<CurvePoint<C>> for &'a CurvePointResult<C>

lhs borrowed, rhs owned

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the - operator.

fn sub(self, rhs: CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<C: CurveGroup> Sub<CurvePoint<C>> for AuthenticatedPointResult<C>

lhs owned, rhs owned

type Output = AuthenticatedPointResult<C>

The resulting type after applying the - operator.

fn sub(self, rhs: CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<C: CurveGroup> Sub<CurvePoint<C>> for MpcPointResult<C>

lhs owned, rhs owned

type Output = MpcPointResult<C>

The resulting type after applying the - operator.

fn sub(self, rhs: CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<C: CurveGroup> Sub<CurvePoint<C>> for CurvePointResult<C>

lhs owned, rhs owned

type Output = ResultHandle<C, CurvePoint<C>>

The resulting type after applying the - operator.

fn sub(self, rhs: CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<C: CurveGroup> Sub for CurvePoint<C>

lhs owned, rhs owned

type Output = CurvePoint<C>

The resulting type after applying the - operator.

fn sub(self, rhs: CurvePoint<C>) -> Self::Output

Performs the - operation.

impl<C: CurveGroup> SubAssign for CurvePoint<C>

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl<C: CurveGroup> Sum for CurvePoint<C>

fn sum<I: Iterator<Item = Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.

impl<C: Copy + CurveGroup> Copy for CurvePoint<C>

impl<C: Eq + CurveGroup> Eq for CurvePoint<C>

impl<C: CurveGroup> StructuralPartialEq for CurvePoint<C>

impl<C: CurveGroup> Unpin for CurvePoint<C>