Struct Pallas

pub struct Pallas {
    pub x: Fp,
    pub y: Fp,
    pub z: Fp,
}

Fields

x: Fp

y: Fp

z: Fp

Implementations

impl Pallas

pub fn generator() -> Self

impl Pallas

pub const SVDW_Z: Fp

Z = -13

Trait Implementations

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

type Output = Pallas

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a, 'b> Add<&'a Pallas> for &'b PallasAffine

type Output = Pallas

The resulting type after applying the + operator.

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

Performs the + operation.

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

type Output = Pallas

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'b> Add<&'b Pallas> for PallasAffine

type Output = Pallas

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a, 'b> Add<&'a PallasAffine> for &'b Pallas

type Output = Pallas

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'b> Add<&'b PallasAffine> for Pallas

type Output = Pallas

The resulting type after applying the + operator.

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

Performs the + operation.

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

type Output = Pallas

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<Pallas> for &'a PallasAffine

type Output = Pallas

The resulting type after applying the + operator.

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

Performs the + operation.

impl Add<Pallas> for PallasAffine

type Output = Pallas

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<PallasAffine> for &'a Pallas

type Output = Pallas

The resulting type after applying the + operator.

fn add(self, rhs: PallasAffine) -> Pallas

Performs the + operation.

impl Add<PallasAffine> for Pallas

type Output = Pallas

The resulting type after applying the + operator.

fn add(self, rhs: PallasAffine) -> Pallas

Performs the + operation.

impl Add for Pallas

type Output = Pallas

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'b> AddAssign<&'b Pallas> for Pallas

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

Performs the += operation.

impl<'b> AddAssign<&'b PallasAffine> for Pallas

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

Performs the += operation.

impl AddAssign<PallasAffine> for Pallas

fn add_assign(&mut self, rhs: PallasAffine)

Performs the += operation.

impl AddAssign for Pallas

fn add_assign(&mut self, rhs: Pallas)

Performs the += operation.

impl Clone for Pallas

fn clone(&self) -> Pallas

Returns a copy of the value.

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

Performs copy-assignment from source.

impl CofactorCurve for Pallas

type Affine = PallasAffine

impl CofactorGroup for Pallas

type Subgroup = Pallas

The large prime-order subgroup in which cryptographic operations are performed. If Self implements PrimeGroup, then Self::Subgroup may be Self.

fn clear_cofactor(&self) -> Self

Maps self to the prime-order subgroup by multiplying this element by some k-multiple of the cofactor.

fn into_subgroup(self) -> CtOption<Self::Subgroup>

Returns self if it is contained in the prime-order subgroup.

fn is_torsion_free(&self) -> Choice

Determines if this element is “torsion free”, i.e., is contained in the prime-order subgroup.

fn is_small_order(&self) -> Choice

Determines if this element is of small order.

impl ConditionallySelectable for Pallas

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 Pallas

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 Curve for Pallas

type AffineRepr = PallasAffine

The affine representation for this elliptic curve.

fn batch_normalize(p: &[Self], q: &mut [Self::AffineRepr])

Converts a batch of projective elements into affine elements. This function will panic if p.len() != q.len().

fn to_affine(&self) -> Self::AffineRepr

Converts this element into its affine representation.

impl CurveExt for Pallas

const CURVE_ID: &'static str = "pasta"

CURVE_ID used for hash-to-curve.

type ScalarExt = Fq

The scalar field of this elliptic curve.

type Base = Fp

The base field over which this elliptic curve is constructed.

type AffineExt = PallasAffine

The affine version of the curve

fn endo(&self) -> Self

Apply the curve endomorphism by multiplying the x-coordinate by an element of multiplicative order 3.

fn jacobian_coordinates(&self) -> (Fp, Fp, Fp)

Return the Jacobian coordinates of this point.

fn hash_to_curve<'a>(domain_prefix: &'a str) -> Box<dyn Fn(&[u8]) -> Self + 'a>

Requests a hasher that accepts messages and returns near-uniformly distributed elements in the group, given domain prefix domain_prefix.

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 b() -> Self::Base

Returns the curve constant b.

fn a() -> Self::Base

Returns the curve constant a.

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

Obtains a point given Jacobian coordinates $X : Y : Z$, failing if the coordinates are not on the curve.

impl Debug for Pallas

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

Formats the value using the given formatter.

impl Default for Pallas

fn default() -> Pallas

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for Pallas

fn deserialize<D: Deserializer<'de>>(deserializer: D) -> Result<Self, D::Error>

Deserialize this value from the given Serde deserializer.

impl<'a> From<&'a Pallas> for PallasAffine

fn from(p: &'a Pallas) -> PallasAffine

Converts to this type from the input type.

impl<'a> From<&'a PallasAffine> for Pallas

fn from(p: &'a PallasAffine) -> Pallas

Converts to this type from the input type.

impl From<Pallas> for PallasAffine

fn from(p: Pallas) -> PallasAffine

Converts to this type from the input type.

impl From<PallasAffine> for Pallas

fn from(p: PallasAffine) -> Pallas

Converts to this type from the input type.

impl Group for Pallas

type Scalar = Fq

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

fn random(rng: impl RngCore) -> Self

Returns an element chosen uniformly at random from the non-identity elements of this group.

fn double(&self) -> Self

Doubles this element.

fn generator() -> Self

Returns a fixed generator of the prime-order subgroup.

fn identity() -> Self

Returns the additive identity, also known as the “neutral element”.

fn is_identity(&self) -> Choice

Determines if this point is the identity.

impl GroupEncoding for Pallas

type Repr = Repr<[< $name:upper _COMPRESSED_SIZE >]>

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<'a, 'b> Mul<&'b Fq> for &'a Pallas

type Output = Pallas

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'b> Mul<&'b Fq> for Pallas

type Output = Pallas

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Fq) -> Pallas

Performs the * operation.

impl<'a> Mul<Fq> for &'a Pallas

type Output = Pallas

The resulting type after applying the * operator.

fn mul(self, rhs: Fq) -> Pallas

Performs the * operation.

impl Mul<Fq> for Pallas

type Output = Pallas

The resulting type after applying the * operator.

fn mul(self, rhs: Fq) -> Pallas

Performs the * operation.

impl<'b> MulAssign<&'b Fq> for Pallas

fn mul_assign(&mut self, rhs: &'b Fq)

Performs the *= operation.

impl MulAssign<Fq> for Pallas

fn mul_assign(&mut self, rhs: Fq)

Performs the *= operation.

impl<'a> Neg for &'a Pallas

type Output = Pallas

The resulting type after applying the - operator.

fn neg(self) -> Pallas

Performs the unary - operation.

impl Neg for Pallas

type Output = Pallas

The resulting type after applying the - operator.

fn neg(self) -> Pallas

Performs the unary - operation.

impl PartialEq for Pallas

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 PrimeCurve for Pallas

type Affine = PallasAffine

impl SerdeObject for Pallas

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 Pallas

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

Serialize this value into the given Serde serializer.

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

type Output = Pallas

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a, 'b> Sub<&'a Pallas> for &'b PallasAffine

type Output = Pallas

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Pallas

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'b> Sub<&'b Pallas> for PallasAffine

type Output = Pallas

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a, 'b> Sub<&'a PallasAffine> for &'b Pallas

type Output = Pallas

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'b> Sub<&'b PallasAffine> for Pallas

type Output = Pallas

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Pallas

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<Pallas> for &'a PallasAffine

type Output = Pallas

The resulting type after applying the - operator.

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

Performs the - operation.

impl Sub<Pallas> for PallasAffine

type Output = Pallas

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<PallasAffine> for &'a Pallas

type Output = Pallas

The resulting type after applying the - operator.

fn sub(self, rhs: PallasAffine) -> Pallas

Performs the - operation.

impl Sub<PallasAffine> for Pallas

type Output = Pallas

The resulting type after applying the - operator.

fn sub(self, rhs: PallasAffine) -> Pallas

Performs the - operation.

impl Sub for Pallas

type Output = Pallas

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'b> SubAssign<&'b Pallas> for Pallas

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

Performs the -= operation.

impl<'b> SubAssign<&'b PallasAffine> for Pallas

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

Performs the -= operation.

impl SubAssign<PallasAffine> for Pallas

fn sub_assign(&mut self, rhs: PallasAffine)

Performs the -= operation.

impl SubAssign for Pallas

fn sub_assign(&mut self, rhs: Pallas)

Performs the -= operation.

impl<T> Sum<T> for Pallas

where T: Borrow<Pallas>,

fn sum<I>(iter: I) -> Self

where I: Iterator<Item = T>,

Takes an iterator and generates Self from the elements by “summing up” the items.

impl Copy for Pallas

impl Eq for Pallas

impl PrimeGroup for Pallas