Struct Ed25519Affine

pub struct Ed25519Affine {
    pub x: Fq,
    pub y: Fq,
}

Fields

x: Fq

y: Fq

Implementations

impl Ed25519Affine

pub const fn identity() -> Self

Constructs the neutral element (0, 1).

pub fn is_identity(&self) -> Choice

Determines if this point is the identity.

pub fn generator() -> Self

pub fn to_extended(&self) -> Ed25519

pub fn random(rng: impl RngCore) -> Self

pub fn to_bytes(&self) -> [u8; 32]

Converts this element into its byte representation.

pub fn from_bytes(b: [u8; 32]) -> CtOption<Self>

Attempts to interpret a byte representation of an affine point, failing if the element is not on the curve or non-canonical.

Trait Implementations

impl<'a, 'b> Add<&'a Ed25519> for &'b Ed25519Affine

type Output = Ed25519

The resulting type after applying the + operator.

fn add(self, rhs: &'a Ed25519) -> Ed25519

Performs the + operation.

impl<'b> Add<&'b Ed25519> for Ed25519Affine

type Output = Ed25519

The resulting type after applying the + operator.

fn add(self, rhs: &'b Ed25519) -> Ed25519

Performs the + operation.

impl<'a, 'b> Add<&'a Ed25519Affine> for &'b Ed25519

type Output = Ed25519

The resulting type after applying the + operator.

fn add(self, rhs: &'a Ed25519Affine) -> Ed25519

Performs the + operation.

impl<'a, 'b> Add<&'a Ed25519Affine> for &'b Ed25519Affine

type Output = Ed25519

The resulting type after applying the + operator.

fn add(self, rhs: &'a Ed25519Affine) -> Ed25519

Performs the + operation.

impl<'b> Add<&'b Ed25519Affine> for Ed25519

type Output = Ed25519

The resulting type after applying the + operator.

fn add(self, rhs: &'b Ed25519Affine) -> Ed25519

Performs the + operation.

impl<'b> Add<&'b Ed25519Affine> for Ed25519Affine

type Output = Ed25519

The resulting type after applying the + operator.

fn add(self, rhs: &'b Ed25519Affine) -> Ed25519

Performs the + operation.

impl<'a> Add<Ed25519> for &'a Ed25519Affine

type Output = Ed25519

The resulting type after applying the + operator.

fn add(self, rhs: Ed25519) -> Ed25519

Performs the + operation.

impl Add<Ed25519> for Ed25519Affine

type Output = Ed25519

The resulting type after applying the + operator.

fn add(self, rhs: Ed25519) -> Ed25519

Performs the + operation.

impl<'a> Add<Ed25519Affine> for &'a Ed25519

type Output = Ed25519

The resulting type after applying the + operator.

fn add(self, rhs: Ed25519Affine) -> Ed25519

Performs the + operation.

impl<'a> Add<Ed25519Affine> for &'a Ed25519Affine

type Output = Ed25519

The resulting type after applying the + operator.

fn add(self, rhs: Ed25519Affine) -> Ed25519

Performs the + operation.

impl Add<Ed25519Affine> for Ed25519

type Output = Ed25519

The resulting type after applying the + operator.

fn add(self, rhs: Ed25519Affine) -> Ed25519

Performs the + operation.

impl Add for Ed25519Affine

type Output = Ed25519

The resulting type after applying the + operator.

fn add(self, rhs: Ed25519Affine) -> Ed25519

Performs the + operation.

impl<'b> AddAssign<&'b Ed25519Affine> for Ed25519

fn add_assign(&mut self, rhs: &'b Ed25519Affine)

Performs the += operation.

impl AddAssign<Ed25519Affine> for Ed25519

fn add_assign(&mut self, rhs: Ed25519Affine)

Performs the += operation.

impl Clone for Ed25519Affine

fn clone(&self) -> Ed25519Affine

Returns a copy of the value.

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

Performs copy-assignment from source.

impl CofactorCurveAffine for Ed25519Affine

type Curve = Ed25519

type Scalar = Fr

fn identity() -> Self

Returns the additive identity.

fn generator() -> Self

Returns a fixed generator of unknown exponent.

fn is_identity(&self) -> Choice

Determines if this point represents the point at infinity; the additive identity.

fn to_curve(&self) -> Self::Curve

Converts this element to its curve representation.

impl ConditionallySelectable for Ed25519Affine

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 Ed25519Affine

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 CurveAffine for Ed25519Affine

type ScalarExt = Fr

The scalar field of this elliptic curve.

type Base = Fq

The base field over which this elliptic curve is constructed.

type CurveExt = Ed25519

The projective form of the curve

fn is_on_curve(&self) -> Choice

Returns whether or not this element is on the curve; should always be true unless an “unchecked” API was used.

fn coordinates(&self) -> CtOption<Coordinates<Self>>

Gets the coordinates of this point.

fn from_xy(x: Self::Base, y: Self::Base) -> CtOption<Self>

Obtains a point given $(x, y)$, failing if it is not on the curve.

fn a() -> Self::Base

Returns the curve constant $a$.

fn b() -> Self::Base

Returns the curve constant $b$.

impl CurveAffineExt for Ed25519Affine

fn into_coordinates(self) -> (Self::Base, Self::Base)

Unlike the Coordinates trait, this just returns the raw affine coordinates without checking is_on_curve

impl Debug for Ed25519Affine

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

Formats the value using the given formatter.

impl Default for Ed25519Affine

fn default() -> Ed25519Affine

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for Ed25519Affine

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl<'a> From<&'a Ed25519> for Ed25519Affine

fn from(p: &'a Ed25519) -> Ed25519Affine

Converts to this type from the input type.

impl<'a> From<&'a Ed25519Affine> for Ed25519

fn from(p: &'a Ed25519Affine) -> Ed25519

Converts to this type from the input type.

impl From<Ed25519> for Ed25519Affine

fn from(p: Ed25519) -> Ed25519Affine

Converts to this type from the input type.

impl From<Ed25519Affine> for Ed25519

fn from(p: Ed25519Affine) -> Ed25519

Converts to this type from the input type.

impl GroupEncoding for Ed25519Affine

type Repr = [u8; 32]

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 Hash for Ed25519Affine

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<'a, 'b> Mul<&'b Fr> for &'a Ed25519Affine

type Output = Ed25519

The resulting type after applying the * operator.

fn mul(self, other: &'b Fr) -> Self::Output

Performs the * operation.

impl<'b> Mul<&'b Fr> for Ed25519Affine

type Output = Ed25519

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Fr) -> Ed25519

Performs the * operation.

impl<'a> Mul<Fr> for &'a Ed25519Affine

type Output = Ed25519

The resulting type after applying the * operator.

fn mul(self, rhs: Fr) -> Ed25519

Performs the * operation.

impl Mul<Fr> for Ed25519Affine

type Output = Ed25519

The resulting type after applying the * operator.

fn mul(self, rhs: Fr) -> Ed25519

Performs the * operation.

impl<'a> Neg for &'a Ed25519Affine

type Output = Ed25519Affine

The resulting type after applying the - operator.

fn neg(self) -> Ed25519Affine

Performs the unary - operation.

impl Neg for Ed25519Affine

type Output = Ed25519Affine

The resulting type after applying the - operator.

fn neg(self) -> Ed25519Affine

Performs the unary - operation.

impl PartialEq for Ed25519Affine

fn eq(&self, other: &Ed25519Affine) -> 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 Ed25519Affine

type Curve = Ed25519

type Scalar = Fr

fn generator() -> Self

Returns a fixed generator of unknown exponent.

fn identity() -> Self

Returns the additive identity.

fn is_identity(&self) -> Choice

Determines if this point represents the point at infinity; the additive identity.

fn to_curve(&self) -> Self::Curve

Converts this element to its curve representation.

impl SerdeObject for Ed25519Affine

fn from_raw_bytes_unchecked(bytes: &[u8]) -> Self

The purpose of unchecked functions is to read the internal memory representation of a type from bytes as quickly as possible. No sanitization checks are performed to ensure the bytes represent a valid object. As such this function should only be used internally as an extension of machine memory. It should not be used to deserialize externally provided data.

fn from_raw_bytes(bytes: &[u8]) -> Option<Self>

fn to_raw_bytes(&self) -> Vec<u8>

fn read_raw_unchecked<R: Read>(reader: &mut R) -> Self

The purpose of unchecked functions is to read the internal memory representation of a type from disk as quickly as possible. No sanitization checks are performed to ensure the bytes represent a valid object. This function should only be used internally when some machine state cannot be kept in memory (e.g., between runs) and needs to be reloaded as quickly as possible.

fn read_raw<R: Read>(reader: &mut R) -> Result<Self>

fn write_raw<W: Write>(&self, writer: &mut W) -> Result<()>

impl Serialize for Ed25519Affine

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl<'a, 'b> Sub<&'a Ed25519> for &'b Ed25519Affine

type Output = Ed25519

The resulting type after applying the - operator.

fn sub(self, other: &'a Ed25519) -> Ed25519

Performs the - operation.

impl<'b> Sub<&'b Ed25519> for Ed25519Affine

type Output = Ed25519

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Ed25519) -> Ed25519

Performs the - operation.

impl<'a, 'b> Sub<&'a Ed25519Affine> for &'b Ed25519

type Output = Ed25519

The resulting type after applying the - operator.

fn sub(self, other: &'a Ed25519Affine) -> Ed25519

Performs the - operation.

impl<'a, 'b> Sub<&'a Ed25519Affine> for &'b Ed25519Affine

type Output = Ed25519

The resulting type after applying the - operator.

fn sub(self, other: &'a Ed25519Affine) -> Ed25519

Performs the - operation.

impl<'b> Sub<&'b Ed25519Affine> for Ed25519

type Output = Ed25519

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Ed25519Affine) -> Ed25519

Performs the - operation.

impl<'b> Sub<&'b Ed25519Affine> for Ed25519Affine

type Output = Ed25519

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Ed25519Affine) -> Ed25519

Performs the - operation.

impl<'a> Sub<Ed25519> for &'a Ed25519Affine

type Output = Ed25519

The resulting type after applying the - operator.

fn sub(self, rhs: Ed25519) -> Ed25519

Performs the - operation.

impl Sub<Ed25519> for Ed25519Affine

type Output = Ed25519

The resulting type after applying the - operator.

fn sub(self, rhs: Ed25519) -> Ed25519

Performs the - operation.

impl<'a> Sub<Ed25519Affine> for &'a Ed25519

type Output = Ed25519

The resulting type after applying the - operator.

fn sub(self, rhs: Ed25519Affine) -> Ed25519

Performs the - operation.

impl<'a> Sub<Ed25519Affine> for &'a Ed25519Affine

type Output = Ed25519

The resulting type after applying the - operator.

fn sub(self, rhs: Ed25519Affine) -> Ed25519

Performs the - operation.

impl Sub<Ed25519Affine> for Ed25519

type Output = Ed25519

The resulting type after applying the - operator.

fn sub(self, rhs: Ed25519Affine) -> Ed25519

Performs the - operation.

impl Sub for Ed25519Affine

type Output = Ed25519

The resulting type after applying the - operator.

fn sub(self, rhs: Ed25519Affine) -> Ed25519

Performs the - operation.

impl<'b> SubAssign<&'b Ed25519Affine> for Ed25519

fn sub_assign(&mut self, rhs: &'b Ed25519Affine)

Performs the -= operation.

impl SubAssign<Ed25519Affine> for Ed25519

fn sub_assign(&mut self, rhs: Ed25519Affine)

Performs the -= operation.

impl TwistedEdwardsCurveAffineExt for Ed25519Affine

fn a() -> Fq

fn d() -> Fq

impl Copy for Ed25519Affine

impl Eq for Ed25519Affine

impl StructuralPartialEq for Ed25519Affine