Struct AffinePoint 

pub struct AffinePoint {
    pub(crate) x: FieldElement,
    pub(crate) y: FieldElement,
}

Affine point on untwisted curve

Fields

x: FieldElement

y: FieldElement

Implementations

impl AffinePoint

pub const IDENTITY: AffinePoint

The identity point

pub fn compress(&self) -> CompressedEdwardsY

Standard compression; store Y and sign of X

pub fn is_on_curve(&self) -> Choice

Check if this point is on the curve

pub fn to_edwards(&self) -> EdwardsPoint

Convert to edwards extended point

pub fn x(&self) -> [u8; 56]

The X coordinate

pub fn y(&self) -> [u8; 56]

The Y coordinate

pub(crate) fn isogeny(&self) -> Self

pub(crate) fn try_random<R>(rng: &mut R) -> Result<Self, R::Error>

where R: TryRng + ?Sized,

Generate a random AffinePoint.

Helper method that has TryRng bounds so ProjectivePoint can call it for its group impls, otherwise end users should use the Generate trait.

Trait Implementations

impl Add<&AffinePoint> for &EdwardsPoint

type Output = EdwardsPoint

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'b> Add<&'b AffinePoint> for EdwardsPoint

type Output = EdwardsPoint

The resulting type after applying the + operator.

fn add(self, rhs: &'b AffinePoint) -> EdwardsPoint

Performs the + operation.

impl Add<&EdwardsPoint> for &AffinePoint

type Output = EdwardsPoint

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'b> Add<&'b EdwardsPoint> for AffinePoint

type Output = EdwardsPoint

The resulting type after applying the + operator.

fn add(self, rhs: &'b EdwardsPoint) -> EdwardsPoint

Performs the + operation.

impl<'a> Add<AffinePoint> for &'a EdwardsPoint

type Output = EdwardsPoint

The resulting type after applying the + operator.

fn add(self, rhs: AffinePoint) -> EdwardsPoint

Performs the + operation.

impl Add<AffinePoint> for EdwardsPoint

type Output = EdwardsPoint

The resulting type after applying the + operator.

fn add(self, rhs: AffinePoint) -> EdwardsPoint

Performs the + operation.

impl<'a> Add<EdwardsPoint> for &'a AffinePoint

type Output = EdwardsPoint

The resulting type after applying the + operator.

fn add(self, rhs: EdwardsPoint) -> EdwardsPoint

Performs the + operation.

impl Add<EdwardsPoint> for AffinePoint

type Output = EdwardsPoint

The resulting type after applying the + operator.

fn add(self, rhs: EdwardsPoint) -> EdwardsPoint

Performs the + operation.

impl AddAssign<&AffinePoint> for EdwardsPoint

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

Performs the += operation.

impl AddAssign<&EdwardsPoint> for AffinePoint

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

Performs the += operation.

impl AddAssign<AffinePoint> for EdwardsPoint

fn add_assign(&mut self, rhs: AffinePoint)

Performs the += operation.

impl AddAssign<EdwardsPoint> for AffinePoint

fn add_assign(&mut self, rhs: EdwardsPoint)

Performs the += operation.

impl AffineCoordinates for AffinePoint

type FieldRepr = Array<u8, <Ed448 as Curve>::FieldBytesSize>

Field element representation with curve-specific serialization/endianness.

fn from_coordinates(x: &Self::FieldRepr, y: &Self::FieldRepr) -> CtOption<Self>

Creates an affine point from its coordinates.

fn x(&self) -> Self::FieldRepr

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

fn y(&self) -> Self::FieldRepr

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

fn x_is_odd(&self) -> Choice

Is the affine x-coordinate odd?

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: &Self, b: &Self, choice: Choice) -> Self

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: &Self) -> Choice

Determine if two items are equal.

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

Determine if two items are NOT equal.

impl CtEq for AffinePoint

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

Determine if self is equal to other in constant-time.

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

Determine if self is NOT equal to other in constant-time.

impl CtSelect for AffinePoint

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

Select between self and other based on choice, returning a copy of the value.

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

Conditionally swap self and other if choice is Choice::TRUE.

impl CurveAffine for AffinePoint

type Curve = EdwardsPoint

The efficient representation for this elliptic curve.

type Scalar = Scalar<Ed448>

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

fn identity() -> AffinePoint

Returns the additive identity.

fn generator() -> AffinePoint

Returns a fixed generator of unknown exponent.

fn is_identity(&self) -> Choice

Determines if this point represents the additive identity.

fn to_curve(&self) -> EdwardsPoint

Converts this affine point to its efficient representation.

impl Debug for AffinePoint

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

Formats the value using the given formatter.

impl Default for AffinePoint

fn default() -> Self

Returns the “default value” for a type.

impl From<&AffinePoint> for EdwardsPoint

fn from(value: &AffinePoint) -> Self

Converts to this type from the input type.

impl From<&EdwardsPoint> for AffinePoint

fn from(value: &EdwardsPoint) -> Self

Converts to this type from the input type.

impl From<AffinePoint> for EdwardsPoint

fn from(value: AffinePoint) -> Self

Converts to this type from the input type.

impl From<EdwardsPoint> for AffinePoint

fn from(value: EdwardsPoint) -> Self

Converts to this type from the input type.

impl From<NonIdentity<AffinePoint>> for AffinePoint

fn from(affine: NonIdentity<AffinePoint>) -> Self

Converts to this type from the input type.

impl Generate for AffinePoint

fn try_generate_from_rng<R: TryCryptoRng + ?Sized>( rng: &mut R, ) -> Result<Self, R::Error>

Generate random key using the provided TryCryptoRng.

fn generate_from_rng<R>(rng: &mut R) -> Self

where R: CryptoRng + ?Sized,

Generate random key using the provided CryptoRng.

fn try_generate() -> Result<Self, Error>

Randomly generate a value of this type using the system’s ambient cryptographically secure random number generator.

fn generate() -> Self

Randomly generate a value of this type using the system’s ambient cryptographically secure random number generator.

impl GroupEncoding for AffinePoint

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

The encoding of group elements.

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

Attempts to deserialize a group element from its encoding.

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

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

fn to_bytes(&self) -> Self::Repr

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

impl Mul<&Scalar<Ed448>> for &AffinePoint

type Output = EdwardsPoint

The resulting type after applying the * operator.

fn mul(self, scalar: &EdwardsScalar) -> Self::Output

Performs the * operation.

impl<'b> Mul<&'b Scalar<Ed448>> for AffinePoint

type Output = EdwardsPoint

The resulting type after applying the * operator.

fn mul(self, rhs: &'b EdwardsScalar) -> EdwardsPoint

Performs the * operation.

impl<'a> Mul<Scalar<Ed448>> for &'a AffinePoint

type Output = EdwardsPoint

The resulting type after applying the * operator.

fn mul(self, rhs: EdwardsScalar) -> EdwardsPoint

Performs the * operation.

impl Mul<Scalar<Ed448>> for AffinePoint

type Output = EdwardsPoint

The resulting type after applying the * operator.

fn mul(self, rhs: EdwardsScalar) -> EdwardsPoint

Performs the * operation.

impl MulVartime<&Scalar<Ed448>> for &AffinePoint

fn mul_vartime(self, scalar: &EdwardsScalar) -> Self::Output

Multiply self by rhs in variable-time.

impl MulVartime<&Scalar<Ed448>> for AffinePoint

fn mul_vartime(self, scalar: &EdwardsScalar) -> Self::Output

Multiply self by rhs in variable-time.

impl MulVartime<Scalar<Ed448>> for AffinePoint

fn mul_vartime(self, scalar: EdwardsScalar) -> Self::Output

Multiply self by rhs in variable-time.

impl Neg for AffinePoint

type Output = AffinePoint

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl PartialEq for AffinePoint

fn eq(&self, other: &Self) -> 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 Sub<&AffinePoint> for &EdwardsPoint

type Output = EdwardsPoint

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'b> Sub<&'b AffinePoint> for EdwardsPoint

type Output = EdwardsPoint

The resulting type after applying the - operator.

fn sub(self, rhs: &'b AffinePoint) -> EdwardsPoint

Performs the - operation.

impl Sub<&EdwardsPoint> for &AffinePoint

type Output = EdwardsPoint

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'b> Sub<&'b EdwardsPoint> for AffinePoint

type Output = EdwardsPoint

The resulting type after applying the - operator.

fn sub(self, rhs: &'b EdwardsPoint) -> EdwardsPoint

Performs the - operation.

impl<'a> Sub<AffinePoint> for &'a EdwardsPoint

type Output = EdwardsPoint

The resulting type after applying the - operator.

fn sub(self, rhs: AffinePoint) -> EdwardsPoint

Performs the - operation.

impl Sub<AffinePoint> for EdwardsPoint

type Output = EdwardsPoint

The resulting type after applying the - operator.

fn sub(self, rhs: AffinePoint) -> EdwardsPoint

Performs the - operation.

impl<'a> Sub<EdwardsPoint> for &'a AffinePoint

type Output = EdwardsPoint

The resulting type after applying the - operator.

fn sub(self, rhs: EdwardsPoint) -> EdwardsPoint

Performs the - operation.

impl Sub<EdwardsPoint> for AffinePoint

type Output = EdwardsPoint

The resulting type after applying the - operator.

fn sub(self, rhs: EdwardsPoint) -> EdwardsPoint

Performs the - operation.

impl SubAssign<&AffinePoint> for EdwardsPoint

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

Performs the -= operation.

impl SubAssign<&EdwardsPoint> for AffinePoint

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

Performs the -= operation.

impl SubAssign<AffinePoint> for EdwardsPoint

fn sub_assign(&mut self, rhs: AffinePoint)

Performs the -= operation.

impl SubAssign<EdwardsPoint> for AffinePoint

fn sub_assign(&mut self, rhs: EdwardsPoint)

Performs the -= operation.

impl TryFrom<AffinePoint> for NonIdentity<AffinePoint>

type Error = Error

The type returned in the event of a conversion error.

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

Performs the conversion.

impl Copy for AffinePoint

impl DefaultIsZeroes for AffinePoint

impl Eq for AffinePoint