Struct bls12_381_plus::G2Projective [−][src]
pub struct G2Projective { /* fields omitted */ }
Expand description
This is an element of $\mathbb{G}_2$ represented in the projective coordinate space.
Implementations
Returns the identity of the group: the point at infinity.
Returns a fixed generator of the group. See notes::design
for how this generator is chosen.
Computes the doubling of this point.
Adds this point to another point.
Adds this point to another point in the affine model.
Clears the cofactor, using Budroni-Pintore. This is equivalent to multiplying by $h_\textrm{eff} = 3(z^2 - 1) \cdot h_2$, where $h_2$ is the cofactor of $\mathbb{G}_2$ and $z$ is the parameter of BLS12-381.
The endomorphism is only actually used if the crate feature endo
is
enabled, which it is by default.
Converts a batch of G2Projective
elements into G2Affine
elements. This
function will panic if p.len() != q.len()
.
Returns true if this element is the identity (the point at infinity).
Returns true if this point is on the curve. This should always return true unless an “unchecked” API was used.
Use a random oracle to map a value to a curve point TODO: Make public once it works
Use injective encoding to map a value to a curve point
Use pippenger multi-exponentiation method to compute the sum of multiple points raise to scalars. This uses a fixed window of 4 to be constant time
Trait Implementations
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the +
operator.
Performs the +
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the +
operator.
Performs the +
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the +
operator.
Performs the +
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the +
operator.
Performs the +
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the +
operator.
Performs the +
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the +
operator.
Performs the +
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the +
operator.
Performs the +
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the +
operator.
Performs the +
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the +
operator.
Performs the +
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the +
operator.
Performs the +
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the +
operator.
Performs the +
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the +
operator.
Performs the +
operation. Read more
Performs the +=
operation. Read more
Performs the +=
operation. Read more
Performs the +=
operation. Read more
Performs the +=
operation. Read more
type AffineRepr = G2Affine
type AffineRepr = G2Affine
The affine representation for this elliptic curve.
Converts a batch of projective elements into affine elements. This function will
panic if p.len() != q.len()
. Read more
Converts this element into its affine representation.
Returns the “default value” for a type. Read more
Deserialize this value from the given Serde deserializer. Read more
Performs the conversion.
Performs the conversion.
Performs the conversion.
Performs the conversion.
Returns an element chosen uniformly at random from the non-identity elements of this group. Read more
Determines if this point is the identity.
Attempts to deserialize a group element from its encoding.
Attempts to deserialize a group element, not checking if the element is valid. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the *
operator.
Performs the *
operation. Read more
Performs the *=
operation. Read more
Performs the *=
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the -
operator.
Performs the unary -
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the -
operator.
Performs the unary -
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the -
operator.
Performs the -
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the -
operator.
Performs the -
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the -
operator.
Performs the -
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the -
operator.
Performs the -
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the -
operator.
Performs the -
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the -
operator.
Performs the -
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the -
operator.
Performs the -
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the -
operator.
Performs the -
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the -
operator.
Performs the -
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the -
operator.
Performs the -
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the -
operator.
Performs the -
operation. Read more
type Output = G2Projective
type Output = G2Projective
The resulting type after applying the -
operator.
Performs the -
operation. Read more
Performs the -=
operation. Read more
Performs the -=
operation. Read more
Performs the -=
operation. Read more
Performs the -=
operation. Read more
Recommends a wNAF window size given the number of scalars you intend to multiply a base by. Always returns a number between 2 and 22, inclusive. Read more
Auto Trait Implementations
impl RefUnwindSafe for G2Projective
impl Send for G2Projective
impl Sync for G2Projective
impl Unpin for G2Projective
impl UnwindSafe for G2Projective
Blanket Implementations
Mutably borrows from an owned value. Read more
impl<T> ConditionallyNegatable for T where
T: ConditionallySelectable,
&'a T: for<'a> Neg,
<&'a T as Neg>::Output == T,
impl<T> ConditionallyNegatable for T where
T: ConditionallySelectable,
&'a T: for<'a> Neg,
<&'a T as Neg>::Output == T,
Negate self
if choice == Choice(1)
; otherwise, leave it
unchanged. Read more
fn fmt_binary(self) -> FmtBinary<Self> where
Self: Binary,
fn fmt_binary(self) -> FmtBinary<Self> where
Self: Binary,
Causes self
to use its Binary
implementation when Debug
-formatted.
fn fmt_display(self) -> FmtDisplay<Self> where
Self: Display,
fn fmt_display(self) -> FmtDisplay<Self> where
Self: Display,
Causes self
to use its Display
implementation when
Debug
-formatted. Read more
fn fmt_lower_exp(self) -> FmtLowerExp<Self> where
Self: LowerExp,
fn fmt_lower_exp(self) -> FmtLowerExp<Self> where
Self: LowerExp,
Causes self
to use its LowerExp
implementation when
Debug
-formatted. Read more
fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
Self: LowerHex,
fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
Self: LowerHex,
Causes self
to use its LowerHex
implementation when
Debug
-formatted. Read more
Causes self
to use its Octal
implementation when Debug
-formatted.
fn fmt_pointer(self) -> FmtPointer<Self> where
Self: Pointer,
fn fmt_pointer(self) -> FmtPointer<Self> where
Self: Pointer,
Causes self
to use its Pointer
implementation when
Debug
-formatted. Read more
fn fmt_upper_exp(self) -> FmtUpperExp<Self> where
Self: UpperExp,
fn fmt_upper_exp(self) -> FmtUpperExp<Self> where
Self: UpperExp,
Causes self
to use its UpperExp
implementation when
Debug
-formatted. Read more
fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
Self: UpperHex,
fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
Self: UpperHex,
Causes self
to use its UpperHex
implementation when
Debug
-formatted. Read more
impl<T> Pipe for T where
T: ?Sized,
impl<T> Pipe for T where
T: ?Sized,
Pipes by value. This is generally the method you want to use. Read more
Borrows self
and passes that borrow into the pipe function. Read more
fn pipe_ref_mut<'a, R>(&'a mut self, func: impl FnOnce(&'a mut Self) -> R) -> R where
R: 'a,
fn pipe_ref_mut<'a, R>(&'a mut self, func: impl FnOnce(&'a mut Self) -> R) -> R where
R: 'a,
Mutably borrows self
and passes that borrow into the pipe function. Read more
fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R where
Self: Borrow<B>,
R: 'a,
B: 'a + ?Sized,
fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R where
Self: Borrow<B>,
R: 'a,
B: 'a + ?Sized,
Borrows self
, then passes self.borrow()
into the pipe function. Read more
fn pipe_borrow_mut<'a, B, R>(
&'a mut self,
func: impl FnOnce(&'a mut B) -> R
) -> R where
Self: BorrowMut<B>,
R: 'a,
B: 'a + ?Sized,
fn pipe_borrow_mut<'a, B, R>(
&'a mut self,
func: impl FnOnce(&'a mut B) -> R
) -> R where
Self: BorrowMut<B>,
R: 'a,
B: 'a + ?Sized,
Mutably borrows self
, then passes self.borrow_mut()
into the pipe
function. Read more
fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R where
Self: AsRef<U>,
R: 'a,
U: 'a + ?Sized,
fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R where
Self: AsRef<U>,
R: 'a,
U: 'a + ?Sized,
Borrows self
, then passes self.as_ref()
into the pipe function.
fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> R where
Self: AsMut<U>,
R: 'a,
U: 'a + ?Sized,
fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> R where
Self: AsMut<U>,
R: 'a,
U: 'a + ?Sized,
Mutably borrows self
, then passes self.as_mut()
into the pipe
function. Read more
fn pipe_deref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R where
Self: Deref<Target = T>,
R: 'a,
T: 'a + ?Sized,
fn pipe_deref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R where
Self: Deref<Target = T>,
R: 'a,
T: 'a + ?Sized,
Borrows self
, then passes self.deref()
into the pipe function.
type Output = T
type Output = T
Should always be Self
fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,
fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,
Immutable access to the Borrow<B>
of a value. Read more
fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
B: ?Sized,
fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
B: ?Sized,
Mutable access to the BorrowMut<B>
of a value. Read more
Immutable access to the AsRef<R>
view of a value. Read more
fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,
fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,
Mutable access to the AsMut<R>
view of a value. Read more
Immutable access to the Deref::Target
of a value. Read more
Mutable access to the Deref::Target
of a value. Read more
Calls .tap()
only in debug builds, and is erased in release builds.
fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self
fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self
Calls .tap_mut()
only in debug builds, and is erased in release
builds. Read more
fn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,
fn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,
Calls .tap_borrow()
only in debug builds, and is erased in release
builds. Read more
fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
B: ?Sized,
fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
B: ?Sized,
Calls .tap_borrow_mut()
only in debug builds, and is erased in release
builds. Read more
fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Self where
Self: AsRef<R>,
R: ?Sized,
fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Self where
Self: AsRef<R>,
R: ?Sized,
Calls .tap_ref()
only in debug builds, and is erased in release
builds. Read more
fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,
fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,
Calls .tap_ref_mut()
only in debug builds, and is erased in release
builds. Read more
impl<T, Rhs, Output> GroupOps<Rhs, Output> for T where
T: Add<Rhs, Output = Output> + Sub<Rhs, Output = Output> + AddAssign<Rhs> + SubAssign<Rhs>,
impl<T, Rhs, Output> GroupOpsOwned<Rhs, Output> for T where
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impl<T, Rhs, Output> ScalarMul<Rhs, Output> for T where
T: Mul<Rhs, Output = Output> + MulAssign<Rhs>,
impl<T, Rhs, Output> ScalarMulOwned<Rhs, Output> for T where
T: for<'r> ScalarMul<&'r Rhs, Output>,