[−][src]Struct bls12_381::G1Affine
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.
Implementations
impl G1Affine[src]
pub fn identity() -> G1Affine[src]
Returns the identity of the group: the point at infinity.
pub fn generator() -> G1Affine[src]
Returns a fixed generator of the group. See notes::design
for how this generator is chosen.
pub fn to_compressed(&self) -> [u8; 48][src]
Serializes this element into compressed form. See notes::serialization
for details about how group elements are serialized.
pub fn to_uncompressed(&self) -> [u8; 96][src]
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<Self>[src]
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<Self>[src]
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<Self>[src]
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<Self>[src]
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[src]
Returns true if this element is the identity (the point at infinity).
pub fn is_torsion_free(&self) -> Choice[src]
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[src]
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 G1Affine> for &'a G1Projective[src]
type Output = G1Projective
The resulting type after applying the + operator.
fn add(self, rhs: &'b G1Affine) -> G1Projective[src]
impl<'b> Add<&'b G1Affine> for G1Projective[src]
type Output = G1Projective
The resulting type after applying the + operator.
fn add(self, rhs: &'b G1Affine) -> G1Projective[src]
impl<'a, 'b> Add<&'b G1Projective> for &'a G1Affine[src]
type Output = G1Projective
The resulting type after applying the + operator.
fn add(self, rhs: &'b G1Projective) -> G1Projective[src]
impl<'b> Add<&'b G1Projective> for G1Affine[src]
type Output = G1Projective
The resulting type after applying the + operator.
fn add(self, rhs: &'b G1Projective) -> G1Projective[src]
impl<'a> Add<G1Affine> for &'a G1Projective[src]
type Output = G1Projective
The resulting type after applying the + operator.
fn add(self, rhs: G1Affine) -> G1Projective[src]
impl Add<G1Affine> for G1Projective[src]
type Output = G1Projective
The resulting type after applying the + operator.
fn add(self, rhs: G1Affine) -> G1Projective[src]
impl<'a> Add<G1Projective> for &'a G1Affine[src]
type Output = G1Projective
The resulting type after applying the + operator.
fn add(self, rhs: G1Projective) -> G1Projective[src]
impl Add<G1Projective> for G1Affine[src]
type Output = G1Projective
The resulting type after applying the + operator.
fn add(self, rhs: G1Projective) -> G1Projective[src]
impl<'b> AddAssign<&'b G1Affine> for G1Projective[src]
fn add_assign(&mut self, rhs: &'b G1Affine)[src]
impl AddAssign<G1Affine> for G1Projective[src]
fn add_assign(&mut self, rhs: G1Affine)[src]
impl Clone for G1Affine[src]
fn clone(&self) -> G1Affine[src]
fn clone_from(&mut self, source: &Self)1.0.0[src]
impl ConditionallySelectable for G1Affine[src]
fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self[src]
fn conditional_assign(&mut self, other: &Self, choice: Choice)[src]
fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)[src]
impl ConstantTimeEq for G1Affine[src]
impl Copy for G1Affine[src]
impl Debug for G1Affine[src]
impl Default for G1Affine[src]
impl Display for G1Affine[src]
impl Eq for G1Affine[src]
impl<'a> From<&'a G1Affine> for G1Projective[src]
fn from(p: &'a G1Affine) -> G1Projective[src]
impl<'a> From<&'a G1Projective> for G1Affine[src]
fn from(p: &'a G1Projective) -> G1Affine[src]
impl From<G1Affine> for G1Projective[src]
fn from(p: G1Affine) -> G1Projective[src]
impl From<G1Projective> for G1Affine[src]
fn from(p: G1Projective) -> G1Affine[src]
impl GroupEncoding for G1Affine[src]
type Repr = G1Compressed
The encoding of group elements. Read more
fn from_bytes(bytes: &Self::Repr) -> CtOption<Self>[src]
fn from_bytes_unchecked(bytes: &Self::Repr) -> CtOption<Self>[src]
fn to_bytes(&self) -> Self::Repr[src]
impl<'a, 'b> Mul<&'b Scalar> for &'a G1Affine[src]
type Output = G1Projective
The resulting type after applying the * operator.
fn mul(self, other: &'b Scalar) -> Self::Output[src]
impl<'b> Mul<&'b Scalar> for G1Affine[src]
type Output = G1Projective
The resulting type after applying the * operator.
fn mul(self, rhs: &'b Scalar) -> G1Projective[src]
impl<'a> Mul<Scalar> for &'a G1Affine[src]
type Output = G1Projective
The resulting type after applying the * operator.
fn mul(self, rhs: Scalar) -> G1Projective[src]
impl Mul<Scalar> for G1Affine[src]
type Output = G1Projective
The resulting type after applying the * operator.
fn mul(self, rhs: Scalar) -> G1Projective[src]
impl<'a> Neg for &'a G1Affine[src]
type Output = G1Affine
The resulting type after applying the - operator.
fn neg(self) -> G1Affine[src]
impl Neg for G1Affine[src]
type Output = G1Affine
The resulting type after applying the - operator.
fn neg(self) -> G1Affine[src]
impl PairingCurveAffine for G1Affine[src]
type Pair = G2Affine
type PairingResult = Gt
fn pairing_with(&self, other: &Self::Pair) -> Self::PairingResult[src]
impl PartialEq<G1Affine> for G1Affine[src]
impl PrimeCurveAffine for G1Affine[src]
type Scalar = Scalar
type Curve = G1Projective
fn identity() -> Self[src]
fn generator() -> Self[src]
fn is_identity(&self) -> Choice[src]
fn to_curve(&self) -> Self::Curve[src]
impl<'a, 'b> Sub<&'b G1Affine> for &'a G1Projective[src]
type Output = G1Projective
The resulting type after applying the - operator.
fn sub(self, rhs: &'b G1Affine) -> G1Projective[src]
impl<'b> Sub<&'b G1Affine> for G1Projective[src]
type Output = G1Projective
The resulting type after applying the - operator.
fn sub(self, rhs: &'b G1Affine) -> G1Projective[src]
impl<'a, 'b> Sub<&'b G1Projective> for &'a G1Affine[src]
type Output = G1Projective
The resulting type after applying the - operator.
fn sub(self, rhs: &'b G1Projective) -> G1Projective[src]
impl<'b> Sub<&'b G1Projective> for G1Affine[src]
type Output = G1Projective
The resulting type after applying the - operator.
fn sub(self, rhs: &'b G1Projective) -> G1Projective[src]
impl<'a> Sub<G1Affine> for &'a G1Projective[src]
type Output = G1Projective
The resulting type after applying the - operator.
fn sub(self, rhs: G1Affine) -> G1Projective[src]
impl Sub<G1Affine> for G1Projective[src]
type Output = G1Projective
The resulting type after applying the - operator.
fn sub(self, rhs: G1Affine) -> G1Projective[src]
impl<'a> Sub<G1Projective> for &'a G1Affine[src]
type Output = G1Projective
The resulting type after applying the - operator.
fn sub(self, rhs: G1Projective) -> G1Projective[src]
impl Sub<G1Projective> for G1Affine[src]
type Output = G1Projective
The resulting type after applying the - operator.
fn sub(self, rhs: G1Projective) -> G1Projective[src]
impl<'b> SubAssign<&'b G1Affine> for G1Projective[src]
fn sub_assign(&mut self, rhs: &'b G1Affine)[src]
impl SubAssign<G1Affine> for G1Projective[src]
fn sub_assign(&mut self, rhs: G1Affine)[src]
impl UncompressedEncoding for G1Affine[src]
type Uncompressed = G1Uncompressed
fn from_uncompressed(bytes: &Self::Uncompressed) -> CtOption<Self>[src]
fn from_uncompressed_unchecked(bytes: &Self::Uncompressed) -> CtOption<Self>[src]
fn to_uncompressed(&self) -> Self::Uncompressed[src]
Auto Trait Implementations
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