Struct G1Affine

pub struct G1Affine {
    pub(crate) x: Fp,
    pub(crate) y: Fp,
    infinity: Choice,
}

This is an element of $\mathbb{G}_1$ represented in the affine coordinate space. It is ideal to keep elements in this representation to reduce memory usage and improve performance through the use of mixed curve model arithmetic.

Values of G1Affine are guaranteed to be in the $q$-order subgroup unless an “unchecked” API was misused.

Fields

x: Fp

y: Fp

infinity: Choice

Implementations

impl G1Affine

pub fn identity() -> G1Affine

Returns the identity of the group: the point at infinity.

pub fn generator() -> G1Affine

Returns a fixed generator of the group. See notes::design for how this generator is chosen.

pub fn to_compressed(&self) -> [u8; 48]

Serializes this element into compressed form. See notes::serialization for details about how group elements are serialized.

pub fn to_uncompressed(&self) -> [u8; 96]

Serializes this element into uncompressed form. See notes::serialization for details about how group elements are serialized.

pub fn from_uncompressed(bytes: &[u8; 96]) -> CtOption<G1Affine>

Attempts to deserialize an uncompressed element. See notes::serialization for details about how group elements are serialized.

pub fn from_uncompressed_unchecked(bytes: &[u8; 96]) -> CtOption<G1Affine>

Attempts to deserialize an uncompressed element, not checking if the element is on the curve and not checking if it is in the correct subgroup. This is dangerous to call unless you trust the bytes you are reading; otherwise, API invariants may be broken. Please consider using from_uncompressed() instead.

pub fn from_compressed(bytes: &[u8; 48]) -> CtOption<G1Affine>

Attempts to deserialize a compressed element. See notes::serialization for details about how group elements are serialized.

pub fn from_compressed_unchecked(bytes: &[u8; 48]) -> CtOption<G1Affine>

Attempts to deserialize an uncompressed element, not checking if the element is in the correct subgroup. This is dangerous to call unless you trust the bytes you are reading; otherwise, API invariants may be broken. Please consider using from_compressed() instead.

pub fn is_identity(&self) -> Choice

Returns true if this element is the identity (the point at infinity).

pub fn is_torsion_free(&self) -> Choice

Returns true if this point is free of an $h$-torsion component, and so it exists within the $q$-order subgroup $\mathbb{G}_1$. This should always return true unless an “unchecked” API was used.

pub fn is_on_curve(&self) -> Choice

Returns true if this point is on the curve. This should always return true unless an “unchecked” API was used.

Trait Implementations

impl<'a, 'b> Add<&'b G1Projective> for &'a G1Affine

type Output = G1Projective

The resulting type after applying the + operator.

fn add(self, rhs: &'b G1Projective) -> G1Projective

Performs the + operation.

impl<'b> Add<&'b G1Projective> for G1Affine

type Output = G1Projective

The resulting type after applying the + operator.

fn add(self, rhs: &'b G1Projective) -> G1Projective

Performs the + operation.

impl<'a> Add<G1Projective> for &'a G1Affine

type Output = G1Projective

The resulting type after applying the + operator.

fn add(self, rhs: G1Projective) -> G1Projective

Performs the + operation.

impl Add<G1Projective> for G1Affine

type Output = G1Projective

The resulting type after applying the + operator.

fn add(self, rhs: G1Projective) -> G1Projective

Performs the + operation.

impl Clone for G1Affine

fn clone(&self) -> G1Affine

Returns a copy of the value.

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

Performs copy-assignment from source.

impl ConditionallySelectable for G1Affine

fn conditional_select(a: &G1Affine, b: &G1Affine, choice: Choice) -> G1Affine

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 G1Affine

fn ct_eq(&self, other: &G1Affine) -> Choice

Determine if two items are equal.

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

Determine if two items are NOT equal.

impl Debug for G1Affine

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

Formats the value using the given formatter.

impl Decodable for G1Affine

fn consensus_decode<D>( d: &mut D, modules: &ModuleRegistry<Decoder, DecodingMode>, ) -> Result<G1Affine, DecodeError>

where D: Read,

Decode an object with a well-defined format.

fn consensus_decode_from_finite_reader<R>( r: &mut R, modules: &ModuleRegistry<Decoder, DecodingMode>, ) -> Result<Self, DecodeError>

where R: Read,

Decode Self from a size-limited reader.

fn consensus_decode_hex( hex: &str, modules: &ModuleRegistry<Decoder, DecodingMode>, ) -> Result<Self, DecodeError>

Decode an object from hex

fn consensus_decode_vec( bytes: Vec<u8>, modules: &ModuleRegistry<Decoder, DecodingMode>, ) -> Result<Self, DecodeError>

impl Default for G1Affine

fn default() -> G1Affine

Returns the “default value” for a type.

impl Display for G1Affine

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

Formats the value using the given formatter.

impl Encodable for G1Affine

fn consensus_encode<W>(&self, writer: &mut W) -> Result<usize, Error>

where W: Write,

Encode an object with a well-defined format. Returns the number of bytes written on success.

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

Self::consensus_encode to newly allocated Vec<u8>

fn consensus_encode_to_hex(&self) -> String

Encode and convert to hex string representation

fn consensus_encode_to_len(&self) -> usize

Encode without storing the encoding, return the size

fn consensus_hash<H>(&self) -> H

where H: Hash, <H as Hash>::Engine: Write,

Generate a SHA256 hash of the consensus encoding using the default hash engine for H.

impl<'a> From<&'a G1Projective> for G1Affine

fn from(p: &'a G1Projective) -> G1Affine

Converts to this type from the input type.

impl From<G1Projective> for G1Affine

fn from(p: G1Projective) -> G1Affine

Converts to this type from the input type.

impl GroupEncoding for G1Affine

type Repr = G1Compressed

The encoding of group elements.

fn from_bytes(bytes: &<G1Affine as GroupEncoding>::Repr) -> CtOption<G1Affine>

Attempts to deserialize a group element from its encoding.

fn from_bytes_unchecked( bytes: &<G1Affine as GroupEncoding>::Repr, ) -> CtOption<G1Affine>

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

fn to_bytes(&self) -> <G1Affine as GroupEncoding>::Repr

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

impl<'a, 'b> Mul<&'b Scalar> for &'a G1Affine

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, other: &'b Scalar) -> <&'a G1Affine as Mul<&'b Scalar>>::Output

Performs the * operation.

impl<'b> Mul<&'b Scalar> for G1Affine

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Scalar) -> G1Projective

Performs the * operation.

impl<'a> Mul<Scalar> for &'a G1Affine

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar) -> G1Projective

Performs the * operation.

impl Mul<Scalar> for G1Affine

type Output = G1Projective

The resulting type after applying the * operator.

fn mul(self, rhs: Scalar) -> G1Projective

Performs the * operation.

impl<'a> Neg for &'a G1Affine

type Output = G1Affine

The resulting type after applying the - operator.

fn neg(self) -> G1Affine

Performs the unary - operation.

impl Neg for G1Affine

type Output = G1Affine

The resulting type after applying the - operator.

fn neg(self) -> G1Affine

Performs the unary - operation.

impl PairingCurveAffine for G1Affine

type Pair = G2Affine

type PairingResult = Gt

fn pairing_with( &self, other: &<G1Affine as PairingCurveAffine>::Pair, ) -> <G1Affine as PairingCurveAffine>::PairingResult

Perform a pairing

impl PartialEq for G1Affine

fn eq(&self, other: &G1Affine) -> 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 G1Affine

type Scalar = Scalar

type Curve = G1Projective

fn identity() -> G1Affine

Returns the additive identity.

fn generator() -> G1Affine

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) -> <G1Affine as PrimeCurveAffine>::Curve

Converts this element to its curve representation.

impl<'a, 'b> Sub<&'b G1Projective> for &'a G1Affine

type Output = G1Projective

The resulting type after applying the - operator.

fn sub(self, rhs: &'b G1Projective) -> G1Projective

Performs the - operation.

impl<'b> Sub<&'b G1Projective> for G1Affine

type Output = G1Projective

The resulting type after applying the - operator.

fn sub(self, rhs: &'b G1Projective) -> G1Projective

Performs the - operation.

impl<'a> Sub<G1Projective> for &'a G1Affine

type Output = G1Projective

The resulting type after applying the - operator.

fn sub(self, rhs: G1Projective) -> G1Projective

Performs the - operation.

impl Sub<G1Projective> for G1Affine

type Output = G1Projective

The resulting type after applying the - operator.

fn sub(self, rhs: G1Projective) -> G1Projective

Performs the - operation.

impl UncompressedEncoding for G1Affine

type Uncompressed = G1Uncompressed

fn from_uncompressed( bytes: &<G1Affine as UncompressedEncoding>::Uncompressed, ) -> CtOption<G1Affine>

Attempts to deserialize an element from its uncompressed encoding.

fn from_uncompressed_unchecked( bytes: &<G1Affine as UncompressedEncoding>::Uncompressed, ) -> CtOption<G1Affine>

Attempts to deserialize an uncompressed element, not checking if the element is in the correct subgroup.

fn to_uncompressed(&self) -> <G1Affine as UncompressedEncoding>::Uncompressed

Converts this element into its uncompressed encoding, so long as it’s not the point at infinity.

impl Copy for G1Affine

impl DefaultIsZeroes for G1Affine

impl Eq for G1Affine