[−][src]Struct bls12_381::Gt
This is an element of $\mathbb{G}_T$, the target group of the pairing function. As with $\mathbb{G}_1$ and $\mathbb{G}_2$ this group has order $q$.
Typically, $\mathbb{G}_T$ is written multiplicatively but we will write it additively to keep code and abstractions consistent.
Implementations
impl Gt[src]
pub fn identity() -> Gt[src]
Returns the group identity, which is $1$.
pub fn double(&self) -> Gt[src]
Doubles this group element.
Trait Implementations
impl<'a, 'b> Add<&'b Gt> for &'a Gt[src]
type Output = Gt
The resulting type after applying the + operator.
fn add(self, rhs: &'b Gt) -> Gt[src]
impl<'b> Add<&'b Gt> for Gt[src]
type Output = Gt
The resulting type after applying the + operator.
fn add(self, rhs: &'b Gt) -> Gt[src]
impl<'a> Add<Gt> for &'a Gt[src]
impl Add<Gt> for Gt[src]
impl<'b> AddAssign<&'b Gt> for Gt[src]
fn add_assign(&mut self, rhs: &'b Gt)[src]
impl AddAssign<Gt> for Gt[src]
fn add_assign(&mut self, rhs: Gt)[src]
impl Clone for Gt[src]
fn clone(&self) -> Gt[src]
pub fn clone_from(&mut self, source: &Self)1.0.0[src]
impl ConditionallySelectable for Gt[src]
fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self[src]
pub fn conditional_assign(&mut self, other: &Self, choice: Choice)[src]
pub fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)[src]
impl ConstantTimeEq for Gt[src]
impl Copy for Gt[src]
impl Debug for Gt[src]
impl Default for Gt[src]
impl Display for Gt[src]
impl Eq for Gt[src]
impl Group for Gt[src]
type Scalar = Scalar
Scalars modulo the order of this group's scalar field.
fn random(mut rng: impl RngCore) -> Self[src]
fn identity() -> Self[src]
fn generator() -> Self[src]
fn is_identity(&self) -> Choice[src]
#[must_use]fn double(&self) -> Self[src]
impl<'a, 'b> Mul<&'b Scalar> for &'a Gt[src]
type Output = Gt
The resulting type after applying the * operator.
fn mul(self, other: &'b Scalar) -> Self::Output[src]
impl<'b> Mul<&'b Scalar> for Gt[src]
type Output = Gt
The resulting type after applying the * operator.
fn mul(self, rhs: &'b Scalar) -> Gt[src]
impl<'a> Mul<Scalar> for &'a Gt[src]
type Output = Gt
The resulting type after applying the * operator.
fn mul(self, rhs: Scalar) -> Gt[src]
impl Mul<Scalar> for Gt[src]
type Output = Gt
The resulting type after applying the * operator.
fn mul(self, rhs: Scalar) -> Gt[src]
impl<'b> MulAssign<&'b Scalar> for Gt[src]
fn mul_assign(&mut self, rhs: &'b Scalar)[src]
impl MulAssign<Scalar> for Gt[src]
fn mul_assign(&mut self, rhs: Scalar)[src]
impl<'a> Neg for &'a Gt[src]
impl Neg for Gt[src]
impl PartialEq<Gt> for Gt[src]
impl<'a, 'b> Sub<&'b Gt> for &'a Gt[src]
type Output = Gt
The resulting type after applying the - operator.
fn sub(self, rhs: &'b Gt) -> Gt[src]
impl<'b> Sub<&'b Gt> for Gt[src]
type Output = Gt
The resulting type after applying the - operator.
fn sub(self, rhs: &'b Gt) -> Gt[src]
impl<'a> Sub<Gt> for &'a Gt[src]
impl Sub<Gt> for Gt[src]
impl<'b> SubAssign<&'b Gt> for Gt[src]
fn sub_assign(&mut self, rhs: &'b Gt)[src]
impl SubAssign<Gt> for Gt[src]
fn sub_assign(&mut self, rhs: Gt)[src]
impl<T> Sum<T> for Gt where
T: Borrow<Gt>, [src]
T: Borrow<Gt>,
Auto Trait Implementations
Blanket Implementations
impl<T> Any for T where
T: 'static + ?Sized, [src]
T: 'static + ?Sized,
impl<T> Borrow<T> for T where
T: ?Sized, [src]
T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized, [src]
T: ?Sized,
pub fn borrow_mut(&mut self) -> &mut T[src]
impl<T> ConditionallyNegatable for T where
T: ConditionallySelectable,
&'a T: for<'a> Neg,
<&'a T as Neg>::Output == T, [src]
T: ConditionallySelectable,
&'a T: for<'a> Neg,
<&'a T as Neg>::Output == T,
pub fn conditional_negate(&mut self, choice: Choice)[src]
impl<T> Conv for T
impl<T> Conv for T
impl<T> FmtForward for T
pub fn fmt_binary(self) -> FmtBinary<Self> where
Self: Binary,
Self: Binary,
pub fn fmt_display(self) -> FmtDisplay<Self> where
Self: Display,
Self: Display,
pub fn fmt_lower_exp(self) -> FmtLowerExp<Self> where
Self: LowerExp,
Self: LowerExp,
pub fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
Self: LowerHex,
Self: LowerHex,
pub fn fmt_octal(self) -> FmtOctal<Self> where
Self: Octal,
Self: Octal,
pub fn fmt_pointer(self) -> FmtPointer<Self> where
Self: Pointer,
Self: Pointer,
pub fn fmt_upper_exp(self) -> FmtUpperExp<Self> where
Self: UpperExp,
Self: UpperExp,
pub fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
Self: UpperHex,
Self: UpperHex,
impl<T> From<T> for T[src]
impl<T, Rhs, Output> GroupOps<Rhs, Output> for T where
T: Add<Rhs, Output = Output> + Sub<Rhs, Output = Output> + AddAssign<Rhs> + SubAssign<Rhs>, [src]
T: Add<Rhs, Output = Output> + Sub<Rhs, Output = Output> + AddAssign<Rhs> + SubAssign<Rhs>,
impl<T, Rhs, Output> GroupOpsOwned<Rhs, Output> for T where
T: for<'r> GroupOps<&'r Rhs, Output>, [src]
T: for<'r> GroupOps<&'r Rhs, Output>,
impl<T, U> Into<U> for T where
U: From<T>, [src]
U: From<T>,
impl<T> Pipe for T where
T: ?Sized,
T: ?Sized,
pub fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> R
pub fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a Self) -> R) -> R where
R: 'a,
R: 'a,
pub fn pipe_ref_mut<'a, R>(
&'a mut self,
func: impl FnOnce(&'a mut Self) -> R
) -> R where
R: 'a,
&'a mut self,
func: impl FnOnce(&'a mut Self) -> R
) -> R where
R: 'a,
pub fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R where
Self: Borrow<B>,
R: 'a,
B: 'a + ?Sized,
Self: Borrow<B>,
R: 'a,
B: 'a + ?Sized,
pub 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,
&'a mut self,
func: impl FnOnce(&'a mut B) -> R
) -> R where
Self: BorrowMut<B>,
R: 'a,
B: 'a + ?Sized,
pub 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,
Self: AsRef<U>,
R: 'a,
U: 'a + ?Sized,
pub 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,
&'a mut self,
func: impl FnOnce(&'a mut U) -> R
) -> R where
Self: AsMut<U>,
R: 'a,
U: 'a + ?Sized,
pub 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,
Self: Deref<Target = T>,
R: 'a,
T: 'a + ?Sized,
pub fn pipe_deref_mut<'a, T, R>(
&'a mut self,
func: impl FnOnce(&'a mut T) -> R
) -> R where
Self: DerefMut<Target = T> + Deref,
R: 'a,
T: 'a + ?Sized,
&'a mut self,
func: impl FnOnce(&'a mut T) -> R
) -> R where
Self: DerefMut<Target = T> + Deref,
R: 'a,
T: 'a + ?Sized,
impl<T> Pipe for T
impl<T> PipeAsRef for T
pub fn pipe_as_ref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R where
Self: AsRef<T>,
R: 'a,
T: 'a,
Self: AsRef<T>,
R: 'a,
T: 'a,
pub fn pipe_as_mut<'a, T, R>(
&'a mut self,
func: impl FnOnce(&'a mut T) -> R
) -> R where
Self: AsMut<T>,
R: 'a,
T: 'a,
&'a mut self,
func: impl FnOnce(&'a mut T) -> R
) -> R where
Self: AsMut<T>,
R: 'a,
T: 'a,
impl<T> PipeBorrow for T
pub fn pipe_borrow<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R where
Self: Borrow<T>,
R: 'a,
T: 'a,
Self: Borrow<T>,
R: 'a,
T: 'a,
pub fn pipe_borrow_mut<'a, T, R>(
&'a mut self,
func: impl FnOnce(&'a mut T) -> R
) -> R where
Self: BorrowMut<T>,
R: 'a,
T: 'a,
&'a mut self,
func: impl FnOnce(&'a mut T) -> R
) -> R where
Self: BorrowMut<T>,
R: 'a,
T: 'a,
impl<T> PipeDeref for T
pub fn pipe_deref<'a, R>(
&'a self,
func: impl FnOnce(&'a Self::Target) -> R
) -> R where
Self: Deref,
R: 'a,
&'a self,
func: impl FnOnce(&'a Self::Target) -> R
) -> R where
Self: Deref,
R: 'a,
pub fn pipe_deref_mut<'a, R>(
&'a mut self,
func: impl FnOnce(&'a mut Self::Target) -> R
) -> R where
Self: DerefMut,
R: 'a,
&'a mut self,
func: impl FnOnce(&'a mut Self::Target) -> R
) -> R where
Self: DerefMut,
R: 'a,
impl<T> PipeRef for T
pub fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a Self) -> R) -> R where
R: 'a,
R: 'a,
pub fn pipe_mut<'a, R>(&'a mut self, func: impl FnOnce(&'a mut Self) -> R) -> R where
R: 'a,
R: 'a,
impl<T, Rhs, Output> ScalarMul<Rhs, Output> for T where
T: Mul<Rhs, Output = Output> + MulAssign<Rhs>, [src]
T: Mul<Rhs, Output = Output> + MulAssign<Rhs>,
impl<T, Rhs, Output> ScalarMulOwned<Rhs, Output> for T where
T: for<'r> ScalarMul<&'r Rhs, Output>, [src]
T: for<'r> ScalarMul<&'r Rhs, Output>,
impl<T> Tap for T
pub fn tap(self, func: impl FnOnce(&Self)) -> Self
pub fn tap_mut(self, func: impl FnOnce(&mut Self)) -> Self
pub fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,
Self: Borrow<B>,
B: ?Sized,
pub fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
B: ?Sized,
Self: BorrowMut<B>,
B: ?Sized,
pub fn tap_ref<R>(self, func: impl FnOnce(&R)) -> Self where
Self: AsRef<R>,
R: ?Sized,
Self: AsRef<R>,
R: ?Sized,
pub fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,
Self: AsMut<R>,
R: ?Sized,
pub fn tap_deref<T>(self, func: impl FnOnce(&T)) -> Self where
Self: Deref<Target = T>,
T: ?Sized,
Self: Deref<Target = T>,
T: ?Sized,
pub fn tap_deref_mut<T>(self, func: impl FnOnce(&mut T)) -> Self where
Self: DerefMut<Target = T> + Deref,
T: ?Sized,
Self: DerefMut<Target = T> + Deref,
T: ?Sized,
pub fn tap_dbg(self, func: impl FnOnce(&Self)) -> Self
pub fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self
pub fn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,
Self: Borrow<B>,
B: ?Sized,
pub fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
B: ?Sized,
Self: BorrowMut<B>,
B: ?Sized,
pub fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Self where
Self: AsRef<R>,
R: ?Sized,
Self: AsRef<R>,
R: ?Sized,
pub fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,
Self: AsMut<R>,
R: ?Sized,
pub fn tap_deref_dbg<T>(self, func: impl FnOnce(&T)) -> Self where
Self: Deref<Target = T>,
T: ?Sized,
Self: Deref<Target = T>,
T: ?Sized,
pub fn tap_deref_mut_dbg<T>(self, func: impl FnOnce(&mut T)) -> Self where
Self: DerefMut<Target = T> + Deref,
T: ?Sized,
Self: DerefMut<Target = T> + Deref,
T: ?Sized,
impl<T> Tap for T
pub fn tap<F, R>(self, func: F) -> Self where
F: FnOnce(&Self) -> R,
F: FnOnce(&Self) -> R,
pub fn tap_dbg<F, R>(self, func: F) -> Self where
F: FnOnce(&Self) -> R,
F: FnOnce(&Self) -> R,
pub fn tap_mut<F, R>(self, func: F) -> Self where
F: FnOnce(&mut Self) -> R,
F: FnOnce(&mut Self) -> R,
pub fn tap_mut_dbg<F, R>(self, func: F) -> Self where
F: FnOnce(&mut Self) -> R,
F: FnOnce(&mut Self) -> R,
impl<T, U> TapAsRef<U> for T where
U: ?Sized,
U: ?Sized,
pub fn tap_ref<F, R>(self, func: F) -> Self where
Self: AsRef<T>,
F: FnOnce(&T) -> R,
Self: AsRef<T>,
F: FnOnce(&T) -> R,
pub fn tap_ref_dbg<F, R>(self, func: F) -> Self where
Self: AsRef<T>,
F: FnOnce(&T) -> R,
Self: AsRef<T>,
F: FnOnce(&T) -> R,
pub fn tap_ref_mut<F, R>(self, func: F) -> Self where
Self: AsMut<T>,
F: FnOnce(&mut T) -> R,
Self: AsMut<T>,
F: FnOnce(&mut T) -> R,
pub fn tap_ref_mut_dbg<F, R>(self, func: F) -> Self where
Self: AsMut<T>,
F: FnOnce(&mut T) -> R,
Self: AsMut<T>,
F: FnOnce(&mut T) -> R,
impl<T, U> TapBorrow<U> for T where
U: ?Sized,
U: ?Sized,
pub fn tap_borrow<F, R>(self, func: F) -> Self where
Self: Borrow<T>,
F: FnOnce(&T) -> R,
Self: Borrow<T>,
F: FnOnce(&T) -> R,
pub fn tap_borrow_dbg<F, R>(self, func: F) -> Self where
Self: Borrow<T>,
F: FnOnce(&T) -> R,
Self: Borrow<T>,
F: FnOnce(&T) -> R,
pub fn tap_borrow_mut<F, R>(self, func: F) -> Self where
Self: BorrowMut<T>,
F: FnOnce(&mut T) -> R,
Self: BorrowMut<T>,
F: FnOnce(&mut T) -> R,
pub fn tap_borrow_mut_dbg<F, R>(self, func: F) -> Self where
Self: BorrowMut<T>,
F: FnOnce(&mut T) -> R,
Self: BorrowMut<T>,
F: FnOnce(&mut T) -> R,
impl<T> TapDeref for T
pub fn tap_deref<F, R>(self, func: F) -> Self where
Self: Deref,
F: FnOnce(&Self::Target) -> R,
Self: Deref,
F: FnOnce(&Self::Target) -> R,
pub fn tap_deref_dbg<F, R>(self, func: F) -> Self where
Self: Deref,
F: FnOnce(&Self::Target) -> R,
Self: Deref,
F: FnOnce(&Self::Target) -> R,
pub fn tap_deref_mut<F, R>(self, func: F) -> Self where
Self: DerefMut,
F: FnOnce(&mut Self::Target) -> R,
Self: DerefMut,
F: FnOnce(&mut Self::Target) -> R,
pub fn tap_deref_mut_dbg<F, R>(self, func: F) -> Self where
Self: DerefMut,
F: FnOnce(&mut Self::Target) -> R,
Self: DerefMut,
F: FnOnce(&mut Self::Target) -> R,
impl<T> ToOwned for T where
T: Clone, [src]
T: Clone,
type Owned = T
The resulting type after obtaining ownership.
pub fn to_owned(&self) -> T[src]
pub fn clone_into(&self, target: &mut T)[src]
impl<T> ToString for T where
T: Display + ?Sized, [src]
T: Display + ?Sized,
impl<T> TryConv for T
impl<T> TryConv for T
impl<T, U> TryFrom<U> for T where
U: Into<T>, [src]
U: Into<T>,
type Error = Infallible
The type returned in the event of a conversion error.
pub fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>[src]
impl<T, U> TryInto<U> for T where
U: TryFrom<T>, [src]
U: TryFrom<T>,