p256

Struct AffinePoint

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pub struct AffinePoint { /* private fields */ }
Expand description

NIST P-256 (secp256r1) 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.

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impl AffinePoint

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pub const IDENTITY: Self = _

Additive identity of the group: the point at infinity.

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pub const GENERATOR: Self = _

Base point of P-256.

Defined in FIPS 186-4 § D.1.2.3:

Gₓ = 6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296
Gᵧ = 4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5

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impl Add<&AffinePoint> for &ProjectivePoint

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type Output = ProjectivePoint

The resulting type after applying the + operator.
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fn add(self, other: &AffinePoint) -> ProjectivePoint

Performs the + operation. Read more
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impl Add<&AffinePoint> for ProjectivePoint

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type Output = ProjectivePoint

The resulting type after applying the + operator.
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fn add(self, other: &AffinePoint) -> ProjectivePoint

Performs the + operation. Read more
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impl Add<AffinePoint> for ProjectivePoint

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type Output = ProjectivePoint

The resulting type after applying the + operator.
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fn add(self, other: AffinePoint) -> ProjectivePoint

Performs the + operation. Read more
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impl AddAssign<&AffinePoint> for ProjectivePoint

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

Performs the += operation. Read more
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impl AddAssign<AffinePoint> for ProjectivePoint

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fn add_assign(&mut self, rhs: AffinePoint)

Performs the += operation. Read more
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impl AffineXCoordinate<NistP256> for AffinePoint

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fn x(&self) -> FieldBytes

Get the affine x-coordinate as a serialized field element.
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impl Clone for AffinePoint

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fn clone(&self) -> AffinePoint

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl ConditionallySelectable for AffinePoint

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

Select a or b according to choice. Read more
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fn conditional_assign(&mut self, other: &Self, choice: Choice)

Conditionally assign other to self, according to choice. Read more
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fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves. Read more
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impl ConstantTimeEq for AffinePoint

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

Determine if two items are equal. Read more
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fn ct_ne(&self, other: &Self) -> Choice

Determine if two items are NOT equal. Read more
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impl Debug for AffinePoint

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

Formats the value using the given formatter. Read more
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impl DecompactPoint<NistP256> for AffinePoint

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fn decompact(x_bytes: &FieldBytes) -> CtOption<Self>

Attempt to decompact an elliptic curve point
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impl DecompressPoint<NistP256> for AffinePoint

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fn decompress(x_bytes: &FieldBytes, y_is_odd: Choice) -> CtOption<Self>

Attempt to decompress an elliptic curve point.
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impl Default for AffinePoint

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fn default() -> Self

Returns the “default value” for a type. Read more
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impl From<&AffinePoint> for ProjectivePoint

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fn from(p: &AffinePoint) -> Self

Converts to this type from the input type.
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impl From<&ProjectivePoint> for AffinePoint

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fn from(p: &ProjectivePoint) -> AffinePoint

Converts to this type from the input type.
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impl From<&PublicKey<NistP256>> for AffinePoint

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fn from(public_key: &PublicKey) -> AffinePoint

Converts to this type from the input type.
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impl From<AffinePoint> for EncodedPoint

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fn from(affine_point: AffinePoint) -> EncodedPoint

Converts to this type from the input type.
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impl From<AffinePoint> for ProjectivePoint

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fn from(p: AffinePoint) -> Self

Converts to this type from the input type.
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impl From<ProjectivePoint> for AffinePoint

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fn from(p: ProjectivePoint) -> AffinePoint

Converts to this type from the input type.
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impl From<PublicKey<NistP256>> for AffinePoint

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fn from(public_key: PublicKey) -> AffinePoint

Converts to this type from the input type.
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impl FromEncodedPoint<NistP256> for AffinePoint

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fn from_encoded_point(encoded_point: &EncodedPoint) -> CtOption<Self>

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

§Returns

None value if encoded_point is not on the secp256r1 curve.

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impl GroupEncoding for AffinePoint

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fn from_bytes(bytes: &Self::Repr) -> CtOption<Self>

NOTE: not constant-time with respect to identity point

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

The encoding of group elements. Read more
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fn from_bytes_unchecked(bytes: &Self::Repr) -> CtOption<Self>

Attempts to deserialize a group element, not checking if the element is valid. Read more
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fn to_bytes(&self) -> Self::Repr

Converts this element into its byte encoding. This may or may not support encoding the identity.
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impl Mul<&Scalar> for AffinePoint

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type Output = ProjectivePoint

The resulting type after applying the * operator.
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fn mul(self, scalar: &Scalar) -> ProjectivePoint

Performs the * operation. Read more
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impl Mul<Scalar> for AffinePoint

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type Output = ProjectivePoint

The resulting type after applying the * operator.
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fn mul(self, scalar: Scalar) -> ProjectivePoint

Performs the * operation. Read more
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impl Neg for AffinePoint

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type Output = AffinePoint

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl PartialEq for AffinePoint

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fn eq(&self, other: &AffinePoint) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

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

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type Scalar = Scalar

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type Curve = ProjectivePoint

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fn identity() -> AffinePoint

Returns the additive identity.
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fn generator() -> AffinePoint

Returns a fixed generator of unknown exponent.
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fn is_identity(&self) -> Choice

Determines if this point represents the point at infinity; the additive identity.
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fn to_curve(&self) -> ProjectivePoint

Converts this element to its curve representation.
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impl Sub<&AffinePoint> for &ProjectivePoint

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type Output = ProjectivePoint

The resulting type after applying the - operator.
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fn sub(self, other: &AffinePoint) -> ProjectivePoint

Performs the - operation. Read more
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impl Sub<&AffinePoint> for ProjectivePoint

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type Output = ProjectivePoint

The resulting type after applying the - operator.
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fn sub(self, other: &AffinePoint) -> ProjectivePoint

Performs the - operation. Read more
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impl Sub<AffinePoint> for ProjectivePoint

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type Output = ProjectivePoint

The resulting type after applying the - operator.
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fn sub(self, other: AffinePoint) -> ProjectivePoint

Performs the - operation. Read more
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impl SubAssign<&AffinePoint> for ProjectivePoint

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

Performs the -= operation. Read more
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impl SubAssign<AffinePoint> for ProjectivePoint

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fn sub_assign(&mut self, rhs: AffinePoint)

Performs the -= operation. Read more
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impl ToCompactEncodedPoint<NistP256> for AffinePoint

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fn to_compact_encoded_point(&self) -> CtOption<EncodedPoint>

Serialize this value as a SEC1 compact EncodedPoint

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impl ToEncodedPoint<NistP256> for AffinePoint

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fn to_encoded_point(&self, compress: bool) -> EncodedPoint

Serialize this value as a SEC1 EncodedPoint, optionally applying point compression.
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impl TryFrom<&AffinePoint> for PublicKey

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type Error = Error

The type returned in the event of a conversion error.
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fn try_from(affine_point: &AffinePoint) -> Result<PublicKey>

Performs the conversion.
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impl TryFrom<&EncodedPoint<<<NistP256 as Curve>::UInt as ArrayEncoding>::ByteSize>> for AffinePoint

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type Error = Error

The type returned in the event of a conversion error.
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fn try_from(point: &EncodedPoint) -> Result<AffinePoint>

Performs the conversion.
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impl TryFrom<AffinePoint> for PublicKey

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type Error = Error

The type returned in the event of a conversion error.
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fn try_from(affine_point: AffinePoint) -> Result<PublicKey>

Performs the conversion.
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impl TryFrom<EncodedPoint<<<NistP256 as Curve>::UInt as ArrayEncoding>::ByteSize>> for AffinePoint

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type Error = Error

The type returned in the event of a conversion error.
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fn try_from(point: EncodedPoint) -> Result<AffinePoint>

Performs the conversion.
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impl VerifyPrimitive<NistP256> for AffinePoint

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fn verify_prehashed( &self, z: GenericArray<u8, <<C as Curve>::UInt as ArrayEncoding>::ByteSize>, sig: &Signature<C>, ) -> Result<(), Error>

Verify the prehashed message against the provided signature Read more
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fn verify_digest<D>( &self, msg_digest: D, sig: &Signature<C>, ) -> Result<(), Error>
where D: FixedOutput<OutputSize = <<C as Curve>::UInt as ArrayEncoding>::ByteSize>,

Verify message digest against the provided signature.
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impl Copy for AffinePoint

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impl DefaultIsZeroes for AffinePoint

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impl Eq for AffinePoint

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