Struct AffinePoint 

pub struct AffinePoint { /* private fields */ }

secp256k1 curve point expressed in affine coordinates.

serde support

When the serde feature of this crate is enabled, the Serialize and Deserialize traits are impl’d for this type.

The serialization uses the SEC1 Elliptic-Curve-Point-to-Octet-String encoding, serialized as binary.

When serialized with a text-based format, the SEC1 representation is subsequently hex encoded.

Implementations

impl AffinePoint

pub const IDENTITY: AffinePoint

Additive identity of the group: the point at infinity.

pub const GENERATOR: AffinePoint

Base point of secp256k1.

Gₓ = 79be667e f9dcbbac 55a06295 ce870b07 029bfcdb 2dce28d9 59f2815b 16f81798
Gᵧ = 483ada77 26a3c465 5da4fbfc 0e1108a8 fd17b448 a6855419 9c47d08f fb10d4b8

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<AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the + operator.

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

Performs the + operation.

impl AddAssign<&AffinePoint> for ProjectivePoint

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

Performs the += operation.

impl AddAssign<AffinePoint> for ProjectivePoint

fn add_assign(&mut self, rhs: AffinePoint)

Performs the += operation.

impl AffineCoordinates for AffinePoint

type FieldRepr = GenericArray<u8, <Secp256k1 as Curve>::FieldBytesSize>

Field element representation.

fn x(&self) -> GenericArray<u8, <Secp256k1 as Curve>::FieldBytesSize>

Get the affine x-coordinate as a serialized field element.

fn y_is_odd(&self) -> Choice

Is the affine y-coordinate odd?

impl Clone for AffinePoint

fn clone(&self) -> AffinePoint

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl ConditionallySelectable for AffinePoint

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

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 AffinePoint

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

Determine if two items are equal.

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

Determine if two items are NOT equal.

impl Debug for AffinePoint

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

Formats the value using the given formatter.

impl DecompactPoint<Secp256k1> for AffinePoint

Decompaction using Taproot conventions as described in BIP 340.

fn decompact( x_bytes: &GenericArray<u8, <Secp256k1 as Curve>::FieldBytesSize>, ) -> CtOption<AffinePoint>

Attempt to decompact an elliptic curve point

impl DecompressPoint<Secp256k1> for AffinePoint

fn decompress( x_bytes: &GenericArray<u8, <Secp256k1 as Curve>::FieldBytesSize>, y_is_odd: Choice, ) -> CtOption<AffinePoint>

Attempt to decompress an elliptic curve point.

impl Default for AffinePoint

fn default() -> AffinePoint

Returns the “default value” for a type.

impl From<&AffinePoint> for EncodedPoint<<Secp256k1 as Curve>::FieldBytesSize>

fn from( affine_point: &AffinePoint, ) -> EncodedPoint<<Secp256k1 as Curve>::FieldBytesSize>

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 AffinePoint

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

Converts to this type from the input type.

impl From<AffinePoint> for EncodedPoint<<Secp256k1 as Curve>::FieldBytesSize>

fn from( affine_point: AffinePoint, ) -> EncodedPoint<<Secp256k1 as Curve>::FieldBytesSize>

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 AffinePoint

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

Converts to this type from the input type.

impl FromEncodedPoint<Secp256k1> for AffinePoint

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

Attempts to parse the given EncodedPoint as an SEC1-encoded AffinePoint.

Returns

None value if encoded_point is not on the secp256k1 curve.

impl GroupEncoding for AffinePoint

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: &<AffinePoint as GroupEncoding>::Repr, ) -> CtOption<AffinePoint>

Attempts to deserialize a group element from its encoding.

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

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

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

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

impl Mul<&Scalar> for AffinePoint

type Output = ProjectivePoint

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul<Scalar> for AffinePoint

type Output = ProjectivePoint

The resulting type after applying the * operator.

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

Performs the * operation.

impl Neg for AffinePoint

type Output = AffinePoint

The resulting type after applying the - operator.

fn neg(self) -> <AffinePoint as Neg>::Output

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 AffinePoint

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 PrimeCurveAffine for AffinePoint

fn identity() -> AffinePoint

Returns the identity of the group: the point at infinity.

fn generator() -> AffinePoint

Returns the base point of secp256k1.

fn is_identity(&self) -> Choice

Is this point the identity point?

fn to_curve(&self) -> ProjectivePoint

Convert to curve representation.

type Scalar = Scalar

type Curve = ProjectivePoint

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<AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

The resulting type after applying the - operator.

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

Performs the - operation.

impl SubAssign<&AffinePoint> for ProjectivePoint

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

Performs the -= operation.

impl SubAssign<AffinePoint> for ProjectivePoint

fn sub_assign(&mut self, rhs: AffinePoint)

Performs the -= operation.

impl ToEncodedPoint<Secp256k1> for AffinePoint

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<&AffinePoint> for PublicKey<Secp256k1>

type Error = Error

The type returned in the event of a conversion error.

fn try_from(affine_point: &AffinePoint) -> Result<PublicKey<Secp256k1>, Error>

Performs the conversion.

impl TryFrom<&EncodedPoint<<Secp256k1 as Curve>::FieldBytesSize>> for AffinePoint

type Error = Error

The type returned in the event of a conversion error.

fn try_from( point: &EncodedPoint<<Secp256k1 as Curve>::FieldBytesSize>, ) -> Result<AffinePoint, Error>

Performs the conversion.

impl TryFrom<AffinePoint> for PublicKey<Secp256k1>

type Error = Error

The type returned in the event of a conversion error.

fn try_from(affine_point: AffinePoint) -> Result<PublicKey<Secp256k1>, Error>

Performs the conversion.

impl TryFrom<EncodedPoint<<Secp256k1 as Curve>::FieldBytesSize>> for AffinePoint

type Error = Error

The type returned in the event of a conversion error.

fn try_from( point: EncodedPoint<<Secp256k1 as Curve>::FieldBytesSize>, ) -> Result<AffinePoint, Error>

Performs the conversion.

impl VerifyPrimitive<Secp256k1> for AffinePoint

Available on crate feature ecdsa only.

fn verify_prehashed( &self, z: &GenericArray<u8, <Secp256k1 as Curve>::FieldBytesSize>, sig: &Signature<Secp256k1>, ) -> Result<(), Error>

Verify the prehashed message against the provided ECDSA signature.

fn verify_digest<D>( &self, msg_digest: D, sig: &Signature<C>, ) -> Result<(), Error>

where D: FixedOutput<OutputSize = <C as Curve>::FieldBytesSize>,

Verify message digest against the provided signature.

impl Copy for AffinePoint

impl DefaultIsZeroes for AffinePoint

impl Eq for AffinePoint