tpe

Struct G1Affine

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

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§

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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§

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

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type Output = G1Projective

The resulting type after applying the + operator.
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fn add(self, rhs: &'b G1Projective) -> G1Projective

Performs the + operation. Read more
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impl<'b> Add<&'b G1Projective> for G1Affine

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type Output = G1Projective

The resulting type after applying the + operator.
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fn add(self, rhs: &'b G1Projective) -> G1Projective

Performs the + operation. Read more
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impl<'a> Add<G1Projective> for &'a G1Affine

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type Output = G1Projective

The resulting type after applying the + operator.
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fn add(self, rhs: G1Projective) -> G1Projective

Performs the + operation. Read more
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impl Add<G1Projective> for G1Affine

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type Output = G1Projective

The resulting type after applying the + operator.
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fn add(self, rhs: G1Projective) -> G1Projective

Performs the + operation. Read more
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impl Clone for G1Affine

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fn clone(&self) -> G1Affine

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl ConditionallySelectable for G1Affine

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

Select a or b according to choice. Read more
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fn conditional_assign(&mut self, other: &Self, choice: Choice)

Conditionally assign other to self, according to choice. Read more
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fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves. Read more
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impl ConstantTimeEq for G1Affine

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

Determine if two items are equal. Read more
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fn ct_ne(&self, other: &Self) -> Choice

Determine if two items are NOT equal. Read more
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impl Debug for G1Affine

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

Formats the value using the given formatter. Read more
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impl Decodable for G1Affine

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

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

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impl Default for G1Affine

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fn default() -> G1Affine

Returns the “default value” for a type. Read more
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impl Display for G1Affine

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

Formats the value using the given formatter. Read more
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impl Encodable for G1Affine

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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. Read more
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fn consensus_encode_to_vec(&self) -> Vec<u8>

Self::consensus_encode to newly allocated Vec<u8>
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fn consensus_encode_to_hex(&self) -> String

Encode and convert to hex string representation
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fn consensus_encode_to_len(&self) -> usize

Encode without storing the encoding, return the size
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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. Read more
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impl<'a> From<&'a G1Projective> for G1Affine

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

Converts to this type from the input type.
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impl From<G1Projective> for G1Affine

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fn from(p: G1Projective) -> G1Affine

Converts to this type from the input type.
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impl GroupEncoding for G1Affine

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type Repr = G1Compressed

The encoding of group elements. Read more
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fn from_bytes(bytes: &<G1Affine as GroupEncoding>::Repr) -> CtOption<G1Affine>

Attempts to deserialize a group element from its encoding.
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fn from_bytes_unchecked( bytes: &<G1Affine as GroupEncoding>::Repr, ) -> CtOption<G1Affine>

Attempts to deserialize a group element, not checking if the element is valid. Read more
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fn to_bytes(&self) -> <G1Affine as GroupEncoding>::Repr

Converts this element into its byte encoding. This may or may not support encoding the identity.
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impl<'a, 'b> Mul<&'b Scalar> for &'a G1Affine

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type Output = G1Projective

The resulting type after applying the * operator.
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fn mul(self, other: &'b Scalar) -> <&'a G1Affine as Mul<&'b Scalar>>::Output

Performs the * operation. Read more
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impl<'b> Mul<&'b Scalar> for G1Affine

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type Output = G1Projective

The resulting type after applying the * operator.
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fn mul(self, rhs: &'b Scalar) -> G1Projective

Performs the * operation. Read more
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impl<'a> Mul<Scalar> for &'a G1Affine

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type Output = G1Projective

The resulting type after applying the * operator.
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fn mul(self, rhs: Scalar) -> G1Projective

Performs the * operation. Read more
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impl Mul<Scalar> for G1Affine

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type Output = G1Projective

The resulting type after applying the * operator.
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fn mul(self, rhs: Scalar) -> G1Projective

Performs the * operation. Read more
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impl<'a> Neg for &'a G1Affine

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type Output = G1Affine

The resulting type after applying the - operator.
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fn neg(self) -> G1Affine

Performs the unary - operation. Read more
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impl Neg for G1Affine

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type Output = G1Affine

The resulting type after applying the - operator.
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fn neg(self) -> G1Affine

Performs the unary - operation. Read more
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impl PairingCurveAffine for G1Affine

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type Pair = G2Affine

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type PairingResult = Gt

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

Perform a pairing
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impl PartialEq for G1Affine

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

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl PrimeCurveAffine for G1Affine

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type Scalar = Scalar

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type Curve = G1Projective

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fn identity() -> G1Affine

Returns the additive identity.
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fn generator() -> G1Affine

Returns a fixed generator of unknown exponent.
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fn is_identity(&self) -> Choice

Determines if this point represents the point at infinity; the additive identity.
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fn to_curve(&self) -> <G1Affine as PrimeCurveAffine>::Curve

Converts this element to its curve representation.
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impl<'a, 'b> Sub<&'b G1Projective> for &'a G1Affine

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type Output = G1Projective

The resulting type after applying the - operator.
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fn sub(self, rhs: &'b G1Projective) -> G1Projective

Performs the - operation. Read more
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impl<'b> Sub<&'b G1Projective> for G1Affine

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type Output = G1Projective

The resulting type after applying the - operator.
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fn sub(self, rhs: &'b G1Projective) -> G1Projective

Performs the - operation. Read more
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impl<'a> Sub<G1Projective> for &'a G1Affine

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type Output = G1Projective

The resulting type after applying the - operator.
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fn sub(self, rhs: G1Projective) -> G1Projective

Performs the - operation. Read more
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impl Sub<G1Projective> for G1Affine

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type Output = G1Projective

The resulting type after applying the - operator.
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fn sub(self, rhs: G1Projective) -> G1Projective

Performs the - operation. Read more
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impl UncompressedEncoding for G1Affine

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type Uncompressed = G1Uncompressed

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

Attempts to deserialize an element from its uncompressed encoding.
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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. Read more
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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.
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impl Copy for G1Affine

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impl DefaultIsZeroes for G1Affine

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impl Eq for G1Affine

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🔬This is a nightly-only experimental API. (clone_to_uninit)
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fn conditional_negate(&mut self, choice: Choice)

Negate self if choice == Choice(1); otherwise, leave it unchanged. Read more
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fn consensus_encode_dyn(&self, writer: &mut dyn Write) -> Result<usize, Error>

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Compare self to key and return true if they are equal.
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