Struct ProjectivePoint

pub struct ProjectivePoint { /* private fields */ }

A point on the secp256k1 curve in projective coordinates.

Implementations

impl ProjectivePoint

pub const IDENTITY: ProjectivePoint

Additive identity of the group: the point at infinity.

pub const GENERATOR: ProjectivePoint

Base point of secp256k1.

pub const fn identity() -> ProjectivePoint

👎Deprecated since 0.10.2: use ProjectivePoint::IDENTITY instead

Returns the additive identity of SECP256k1, also known as the “neutral element” or “point at infinity”.

pub fn generator() -> ProjectivePoint

👎Deprecated since 0.10.2: use ProjectivePoint::GENERATOR instead

Returns the base point of SECP256k1.

pub fn to_affine(&self) -> AffinePoint

Returns the affine representation of this point.

pub fn double(&self) -> ProjectivePoint

Doubles this point.

pub fn endomorphism(&self) -> ProjectivePoint

Calculates SECP256k1 endomorphism: self * lambda.

pub fn eq_affine(&self, other: &AffinePoint) -> Choice

Check whether self is equal to an affine point.

This is a lot faster than first converting self to an AffinePoint and then doing the comparison. It is a little bit faster than converting other to a ProjectivePoint first.

Trait Implementations

impl Add<&AffinePoint> for &ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the + operator.

fn add(self, other: &AffinePoint) -> ProjectivePoint

Performs the + operation.

impl Add<&AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the + operator.

fn add(self, other: &AffinePoint) -> ProjectivePoint

Performs the + operation.

impl Add<&ProjectivePoint> for &ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the + operator.

fn add(self, other: &ProjectivePoint) -> ProjectivePoint

Performs the + operation.

impl Add<&ProjectivePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the + operator.

fn add(self, other: &ProjectivePoint) -> ProjectivePoint

Performs the + operation.

impl Add<AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the + operator.

fn add(self, other: AffinePoint) -> ProjectivePoint

Performs the + operation.

impl Add for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the + operator.

fn add(self, other: ProjectivePoint) -> ProjectivePoint

Performs the + operation.

impl AddAssign<&AffinePoint> for ProjectivePoint

fn add_assign(&mut self, rhs: &AffinePoint)

Performs the += operation.

impl AddAssign<&ProjectivePoint> for ProjectivePoint

fn add_assign(&mut self, rhs: &ProjectivePoint)

Performs the += operation.

impl AddAssign<AffinePoint> for ProjectivePoint

fn add_assign(&mut self, rhs: AffinePoint)

Performs the += operation.

impl AddAssign for ProjectivePoint

fn add_assign(&mut self, rhs: ProjectivePoint)

Performs the += operation.

impl BatchNormalize<[ProjectivePoint]> for ProjectivePoint

type Output = Vec<<ProjectivePoint as Curve>::AffineRepr>

The output of the batch normalization; a container of affine points.

fn batch_normalize( points: &[ProjectivePoint], ) -> Vec<<ProjectivePoint as Curve>::AffineRepr>

Perform a batched conversion to affine representation on a sequence of projective points at an amortized cost that should be practically as efficient as a single conversion. Internally, implementors should rely upon InvertBatch.

impl<const N: usize> BatchNormalize<[ProjectivePoint; N]> for ProjectivePoint

type Output = [<ProjectivePoint as Curve>::AffineRepr; N]

The output of the batch normalization; a container of affine points.

fn batch_normalize( points: &[ProjectivePoint; N], ) -> [<ProjectivePoint as Curve>::AffineRepr; N]

Perform a batched conversion to affine representation on a sequence of projective points at an amortized cost that should be practically as efficient as a single conversion. Internally, implementors should rely upon InvertBatch.

impl Clone for ProjectivePoint

fn clone(&self) -> ProjectivePoint

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl CofactorGroup for ProjectivePoint

type Subgroup = ProjectivePoint

The large prime-order subgroup in which cryptographic operations are performed. If Self implements PrimeGroup, then Self::Subgroup may be Self.

fn clear_cofactor(&self) -> <ProjectivePoint as CofactorGroup>::Subgroup

Maps self to the prime-order subgroup by multiplying this element by some k-multiple of the cofactor.

fn into_subgroup(self) -> CtOption<<ProjectivePoint as CofactorGroup>::Subgroup>

Returns self if it is contained in the prime-order subgroup.

fn is_torsion_free(&self) -> Choice

Determines if this element is “torsion free”, i.e., is contained in the prime-order subgroup.

fn is_small_order(&self) -> Choice

Determines if this element is of small order.

impl ConditionallySelectable for ProjectivePoint

fn conditional_select( a: &ProjectivePoint, b: &ProjectivePoint, choice: Choice, ) -> ProjectivePoint

Select a or b according to choice.

fn conditional_assign(&mut self, other: &Self, choice: Choice)

Conditionally assign other to self, according to choice.

fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves.

impl ConstantTimeEq for ProjectivePoint

fn ct_eq(&self, other: &ProjectivePoint) -> Choice

Determine if two items are equal.

fn ct_ne(&self, other: &Self) -> Choice

Determine if two items are NOT equal.

impl Curve for ProjectivePoint

type AffineRepr = AffinePoint

The affine representation for this elliptic curve.

fn to_affine(&self) -> AffinePoint

Converts this element into its affine representation.

fn batch_normalize( projective: &[ProjectivePoint], affine: &mut [<ProjectivePoint as Curve>::AffineRepr], )

Converts a batch of projective elements into affine elements. This function will panic if p.len() != q.len().

impl Debug for ProjectivePoint

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

Formats the value using the given formatter.

impl Default for ProjectivePoint

fn default() -> ProjectivePoint

Returns the “default value” for a type.

impl From<&AffinePoint> for ProjectivePoint

fn from(p: &AffinePoint) -> ProjectivePoint

Converts to this type from the input type.

impl From<&ProjectivePoint> for AffinePoint

fn from(p: &ProjectivePoint) -> AffinePoint

Converts to this type from the input type.

impl From<&PublicKey<Secp256k1>> for ProjectivePoint

fn from(public_key: &PublicKey<Secp256k1>) -> ProjectivePoint

Converts to this type from the input type.

impl From<AffinePoint> for ProjectivePoint

fn from(p: AffinePoint) -> ProjectivePoint

Converts to this type from the input type.

impl From<ProjectivePoint> for AffinePoint

fn from(p: ProjectivePoint) -> AffinePoint

Converts to this type from the input type.

impl From<PublicKey<Secp256k1>> for ProjectivePoint

fn from(public_key: PublicKey<Secp256k1>) -> ProjectivePoint

Converts to this type from the input type.

impl FromEncodedPoint<Secp256k1> for ProjectivePoint

fn from_encoded_point( p: &EncodedPoint<<Secp256k1 as Curve>::FieldBytesSize>, ) -> CtOption<ProjectivePoint>

Deserialize the type this trait is impl’d on from an EncodedPoint.

impl Group for ProjectivePoint

type Scalar = Scalar

Scalars modulo the order of this group’s scalar field.

fn random(rng: impl RngCore) -> ProjectivePoint

Returns an element chosen uniformly at random from the non-identity elements of this group.

fn identity() -> ProjectivePoint

Returns the additive identity, also known as the “neutral element”.

fn generator() -> ProjectivePoint

Returns a fixed generator of the prime-order subgroup.

fn is_identity(&self) -> Choice

Determines if this point is the identity.

fn double(&self) -> ProjectivePoint

Doubles this element.

impl GroupEncoding for ProjectivePoint

type Repr = GenericArray<u8, UInt<UInt<UInt<UInt<UInt<UInt<UTerm, B1>, B0>, B0>, B0>, B0>, B1>>

The encoding of group elements.

fn from_bytes( bytes: &<ProjectivePoint as GroupEncoding>::Repr, ) -> CtOption<ProjectivePoint>

Attempts to deserialize a group element from its encoding.

fn from_bytes_unchecked( bytes: &<ProjectivePoint as GroupEncoding>::Repr, ) -> CtOption<ProjectivePoint>

Attempts to deserialize a group element, not checking if the element is valid.

fn to_bytes(&self) -> <ProjectivePoint as GroupEncoding>::Repr

Converts this element into its byte encoding. This may or may not support encoding the identity.

impl LinearCombinationExt<[(ProjectivePoint, Scalar)]> for ProjectivePoint

fn lincomb_ext( points_and_scalars: &[(ProjectivePoint, Scalar)], ) -> ProjectivePoint

Calculates x1 * k1 + ... + xn * kn.

impl<const N: usize> LinearCombinationExt<[(ProjectivePoint, Scalar); N]> for ProjectivePoint

fn lincomb_ext( points_and_scalars: &[(ProjectivePoint, Scalar); N], ) -> ProjectivePoint

Calculates x1 * k1 + ... + xn * kn.

impl Mul<&Scalar> for &ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, other: &Scalar) -> ProjectivePoint

Performs the * operation.

impl Mul<&Scalar> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, other: &Scalar) -> ProjectivePoint

Performs the * operation.

impl Mul<Scalar> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the * operator.

fn mul(self, other: Scalar) -> ProjectivePoint

Performs the * operation.

impl MulAssign<&Scalar> for ProjectivePoint

fn mul_assign(&mut self, rhs: &Scalar)

Performs the *= operation.

impl MulAssign<Scalar> for ProjectivePoint

fn mul_assign(&mut self, rhs: Scalar)

Performs the *= operation.

impl MulByGenerator for ProjectivePoint

fn mul_by_generator(k: &Scalar) -> ProjectivePoint

Calculates k * G, where G is the generator.

impl<'a> Neg for &'a ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

fn neg(self) -> ProjectivePoint

Performs the unary - operation.

impl Neg for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

fn neg(self) -> ProjectivePoint

Performs the unary - operation.

impl PartialEq<AffinePoint> for ProjectivePoint

fn eq(&self, other: &AffinePoint) -> 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 PartialEq<ProjectivePoint> for AffinePoint

fn eq(&self, other: &ProjectivePoint) -> 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 PartialEq for ProjectivePoint

fn eq(&self, other: &ProjectivePoint) -> 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 PrimeCurve for ProjectivePoint

type Affine = AffinePoint

impl Sub<&AffinePoint> for &ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

fn sub(self, other: &AffinePoint) -> ProjectivePoint

Performs the - operation.

impl Sub<&AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

fn sub(self, other: &AffinePoint) -> ProjectivePoint

Performs the - operation.

impl Sub<&ProjectivePoint> for &ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

fn sub(self, other: &ProjectivePoint) -> ProjectivePoint

Performs the - operation.

impl Sub<&ProjectivePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

fn sub(self, other: &ProjectivePoint) -> ProjectivePoint

Performs the - operation.

impl Sub<AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

fn sub(self, other: AffinePoint) -> ProjectivePoint

Performs the - operation.

impl Sub for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

fn sub(self, other: ProjectivePoint) -> ProjectivePoint

Performs the - operation.

impl SubAssign<&AffinePoint> for ProjectivePoint

fn sub_assign(&mut self, rhs: &AffinePoint)

Performs the -= operation.

impl SubAssign<&ProjectivePoint> for ProjectivePoint

fn sub_assign(&mut self, rhs: &ProjectivePoint)

Performs the -= operation.

impl SubAssign<AffinePoint> for ProjectivePoint

fn sub_assign(&mut self, rhs: AffinePoint)

Performs the -= operation.

impl SubAssign for ProjectivePoint

fn sub_assign(&mut self, rhs: ProjectivePoint)

Performs the -= operation.

impl<'a> Sum<&'a ProjectivePoint> for ProjectivePoint

fn sum<I>(iter: I) -> ProjectivePoint

where I: Iterator<Item = &'a ProjectivePoint>,

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

impl Sum for ProjectivePoint

fn sum<I>(iter: I) -> ProjectivePoint

where I: Iterator<Item = ProjectivePoint>,

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

impl ToEncodedPoint<Secp256k1> for ProjectivePoint

fn to_encoded_point( &self, compress: bool, ) -> EncodedPoint<<Secp256k1 as Curve>::FieldBytesSize>

Serialize this value as a SEC1 EncodedPoint, optionally applying point compression.

impl TryFrom<&ProjectivePoint> for PublicKey<Secp256k1>

type Error = Error

The type returned in the event of a conversion error.

fn try_from(point: &ProjectivePoint) -> Result<PublicKey<Secp256k1>, Error>

Performs the conversion.

impl TryFrom<ProjectivePoint> for PublicKey<Secp256k1>

type Error = Error

The type returned in the event of a conversion error.

fn try_from(point: ProjectivePoint) -> Result<PublicKey<Secp256k1>, Error>

Performs the conversion.

impl Copy for ProjectivePoint

impl DefaultIsZeroes for ProjectivePoint

impl Eq for ProjectivePoint

impl PrimeGroup for ProjectivePoint