Struct EqAffine

pub struct EqAffine { /* private fields */ }

Represents a point in the affine coordinate space (or the point at infinity).

Trait Implementations

impl<'a, 'b> Add<&'a Eq> for &'b EqAffine

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'b> Add<&'b Eq> for EqAffine

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a, 'b> Add<&'a EqAffine> for &'b Eq

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation.

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

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'b> Add<&'b EqAffine> for Eq

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation.

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

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<Eq> for &'a EqAffine

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add<Eq> for EqAffine

type Output = Eq

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<EqAffine> for &'a Eq

type Output = Eq

The resulting type after applying the + operator.

fn add(self, rhs: EqAffine) -> Eq

Performs the + operation.

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

type Output = Eq

The resulting type after applying the + operator.

fn add(self, rhs: EqAffine) -> Eq

Performs the + operation.

impl Add<EqAffine> for Eq

type Output = Eq

The resulting type after applying the + operator.

fn add(self, rhs: EqAffine) -> Eq

Performs the + operation.

impl Add for EqAffine

type Output = Eq

The resulting type after applying the + operator.

fn add(self, rhs: EqAffine) -> Eq

Performs the + operation.

impl<'b> AddAssign<&'b EqAffine> for Eq

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

Performs the += operation.

impl AddAssign<EqAffine> for Eq

fn add_assign(&mut self, rhs: EqAffine)

Performs the += operation.

impl Clone for EqAffine

fn clone(&self) -> EqAffine

Returns a copy of the value.

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

Performs copy-assignment from source.

impl CofactorCurveAffine for EqAffine

type Curve = Eq

type Scalar = Fp

fn identity() -> EqAffine

Returns the additive identity.

fn generator() -> EqAffine

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) -> <EqAffine as CofactorCurveAffine>::Curve

Converts this element to its curve representation.

impl ConditionallySelectable for EqAffine

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

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 EqAffine

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

Determine if two items are equal.

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

Determine if two items are NOT equal.

impl CurveAffine for EqAffine

type ScalarExt = Fp

The scalar field of this elliptic curve.

type Base = Fq

The base field over which this elliptic curve is constructed.

type CurveExt = Eq

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<EqAffine>>

Gets the coordinates of this point.

fn from_xy( x: <EqAffine as CurveAffine>::Base, y: <EqAffine as CurveAffine>::Base, ) -> CtOption<EqAffine>

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

fn a() -> <EqAffine as CurveAffine>::Base

Returns the curve constant $a$.

fn b() -> <EqAffine as CurveAffine>::Base

Returns the curve constant $b$.

impl Debug for EqAffine

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

Formats the value using the given formatter.

impl Default for EqAffine

fn default() -> EqAffine

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for EqAffine

fn deserialize<D>(d: D) -> Result<EqAffine, <D as Deserializer<'de>>::Error>

where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl<'a> From<&'a Eq> for EqAffine

fn from(p: &'a Eq) -> EqAffine

Converts to this type from the input type.

impl<'a> From<&'a EqAffine> for Eq

fn from(p: &'a EqAffine) -> Eq

Converts to this type from the input type.

impl From<Eq> for EqAffine

fn from(p: Eq) -> EqAffine

Converts to this type from the input type.

impl From<EqAffine> for Eq

fn from(p: EqAffine) -> Eq

Converts to this type from the input type.

impl GroupEncoding for EqAffine

type Repr = [u8; 32]

The encoding of group elements.

fn from_bytes(bytes: &[u8; 32]) -> CtOption<EqAffine>

Attempts to deserialize a group element from its encoding.

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

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

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

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

impl<'a, 'b> Mul<&'b Fp> for &'a EqAffine

type Output = Eq

The resulting type after applying the * operator.

fn mul(self, other: &'b Fp) -> <&'a EqAffine as Mul<&'b Fp>>::Output

Performs the * operation.

impl<'b> Mul<&'b Fp> for EqAffine

type Output = Eq

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Fp) -> Eq

Performs the * operation.

impl<'a> Mul<Fp> for &'a EqAffine

type Output = Eq

The resulting type after applying the * operator.

fn mul(self, rhs: Fp) -> Eq

Performs the * operation.

impl Mul<Fp> for EqAffine

type Output = Eq

The resulting type after applying the * operator.

fn mul(self, rhs: Fp) -> Eq

Performs the * operation.

impl<'a> Neg for &'a EqAffine

type Output = EqAffine

The resulting type after applying the - operator.

fn neg(self) -> EqAffine

Performs the unary - operation.

impl Neg for EqAffine

type Output = EqAffine

The resulting type after applying the - operator.

fn neg(self) -> EqAffine

Performs the unary - operation.

impl PartialEq for EqAffine

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

type Curve = Eq

type Scalar = Fp

fn generator() -> EqAffine

Returns a fixed generator of unknown exponent.

fn identity() -> EqAffine

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) -> <EqAffine as PrimeCurveAffine>::Curve

Converts this element to its curve representation.

impl Serialize for EqAffine

fn serialize<S>( &self, s: S, ) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>

where S: Serializer,

Serialize this value into the given Serde serializer.

impl<'a, 'b> Sub<&'a Eq> for &'b EqAffine

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'b> Sub<&'b Eq> for EqAffine

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a, 'b> Sub<&'a EqAffine> for &'b Eq

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'b> Sub<&'b EqAffine> for Eq

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<Eq> for &'a EqAffine

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation.

impl Sub<Eq> for EqAffine

type Output = Eq

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<EqAffine> for &'a Eq

type Output = Eq

The resulting type after applying the - operator.

fn sub(self, rhs: EqAffine) -> Eq

Performs the - operation.

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

type Output = Eq

The resulting type after applying the - operator.

fn sub(self, rhs: EqAffine) -> Eq

Performs the - operation.

impl Sub<EqAffine> for Eq

type Output = Eq

The resulting type after applying the - operator.

fn sub(self, rhs: EqAffine) -> Eq

Performs the - operation.

impl Sub for EqAffine

type Output = Eq

The resulting type after applying the - operator.

fn sub(self, rhs: EqAffine) -> Eq

Performs the - operation.

impl<'b> SubAssign<&'b EqAffine> for Eq

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

Performs the -= operation.

impl SubAssign<EqAffine> for Eq

fn sub_assign(&mut self, rhs: EqAffine)

Performs the -= operation.

impl Copy for EqAffine

impl Eq for EqAffine