Struct bls12_381_plus::Gt

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pub struct Gt(_);

Expand description

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

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impl Gt

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pub fn identity() -> Gt

Returns the group identity, which is $1$.

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pub fn double(&self) -> Gt

Doubles this group element.

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pub fn to_bytes(&self) -> [u8 ; 576]

Return the byte representation of this value in big-endian

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pub fn from_bytes(bytes: &[u8 ; 576]) -> CtOption<Self>

Attempts to convert a big-endian byte representation of a scalar into a Gt, failing if the input is not canonical.

Trait Implementations

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impl<'a, 'b> Add<&'b Gt> for &'a Gt

type Output = Gt

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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impl<'b> Add<&'b Gt> for Gt

type Output = Gt

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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impl<'a> Add<Gt> for &'a Gt

type Output = Gt

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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impl Add<Gt> for Gt

type Output = Gt

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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impl<'b> AddAssign<&'b Gt> for Gt

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fn add_assign(&mut self, rhs: &'b Gt)

Performs the += operation. Read more

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impl AddAssign<Gt> for Gt

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fn add_assign(&mut self, rhs: Gt)

Performs the += operation. Read more

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impl Clone for Gt

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fn clone(&self) -> Gt

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 Gt

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

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 Gt

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

Determine if two items are equal. Read more

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impl Debug for Gt

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

Formats the value using the given formatter. Read more

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impl Default for Gt

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fn default() -> Self

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

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impl<'de> Deserialize<'de> for Gt

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fn deserialize<D>(deserializer: D) -> Result<Gt, D::Error> where
D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more

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impl Display for Gt

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

Formats the value using the given formatter. Read more

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impl Group for Gt

type Scalar = Scalar

Scalars modulo the order of this group’s scalar field.

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fn random(rng: impl RngCore) -> Self

Returns an element chosen uniformly at random from the non-identity elements of this group. Read more

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fn identity() -> Self

Returns the additive identity, also known as the “neutral element”.

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fn generator() -> Self

Returns a fixed generator of the prime-order subgroup.

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fn is_identity(&self) -> Choice

Determines if this point is the identity.

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fn double(&self) -> Self

Doubles this element.

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

type Output = Gt

The resulting type after applying the * operator.

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fn mul(self, other: &'b Scalar) -> Self::Output

Performs the * operation. Read more

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

type Output = Gt

The resulting type after applying the * operator.

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

Performs the * operation. Read more

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

type Output = Gt

The resulting type after applying the * operator.

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

Performs the * operation. Read more

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impl Mul<Scalar> for Gt

type Output = Gt

The resulting type after applying the * operator.

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

Performs the * operation. Read more

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impl<'b> MulAssign<&'b Scalar> for Gt

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fn mul_assign(&mut self, rhs: &'b Scalar)

Performs the *= operation. Read more

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impl MulAssign<Scalar> for Gt

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fn mul_assign(&mut self, rhs: Scalar)

Performs the *= operation. Read more

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impl<'a> Neg for &'a Gt

type Output = Gt

The resulting type after applying the - operator.

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fn neg(self) -> Gt

Performs the unary - operation. Read more

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impl Neg for Gt

type Output = Gt

The resulting type after applying the - operator.

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fn neg(self) -> Gt

Performs the unary - operation. Read more

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impl PartialEq<Gt> for Gt

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

This method tests for self and other values to be equal, and is used by ==. Read more

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fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

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impl Serialize for Gt

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fn serialize<S>(&self, s: S) -> Result<S::Ok, S::Error> where
S: Serializer,

Serialize this value into the given Serde serializer. Read more

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impl<'a, 'b> Sub<&'b Gt> for &'a Gt

type Output = Gt

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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impl<'b> Sub<&'b Gt> for Gt

type Output = Gt

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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impl<'a> Sub<Gt> for &'a Gt

type Output = Gt

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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impl Sub<Gt> for Gt

type Output = Gt

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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impl<'b> SubAssign<&'b Gt> for Gt

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fn sub_assign(&mut self, rhs: &'b Gt)

Performs the -= operation. Read more

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impl SubAssign<Gt> for Gt

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fn sub_assign(&mut self, rhs: Gt)

Performs the -= operation. Read more

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impl<T> Sum<T> for Gt where
T: Borrow<Gt>,

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fn sum(iter: I) -> Self where
I: Iterator<Item = T>,

Method which takes an iterator and generates Self from the elements by “summing up” the items. Read more

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impl Copy for Gt

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impl Eq for Gt

Auto Trait Implementations

impl RefUnwindSafe for Gt

impl Send for Gt

impl Sync for Gt

impl Unpin for Gt

impl UnwindSafe for Gt

Blanket Implementations

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impl<T> Any for T where
T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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impl<T> Borrow<T> for T where
T: ?Sized,

const: unstable · source

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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impl<T> BorrowMut<T> for T where
T: ?Sized,

const: unstable · source

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

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impl<T> ConditionallyNegatable for T where
 T: ConditionallySelectable,
 &'a T: for<'a> Neg,
 <&'a T as Neg>::Output == T,

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fn conditional_negate(&mut self, choice: Choice)

Negate self if choice == Choice(1); otherwise, leave it unchanged. Read more

impl<T> Conv for T

fn conv<T>(self) -> T where
Self: Into<T>,

Converts self into T using Into<T>. Read more

impl<T> FmtForward for T

fn fmt_binary(self) -> FmtBinary<Self> where
Self: Binary,

Causes self to use its Binary implementation when Debug-formatted. Read more

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,

Causes self to use its LowerExp implementation when Debug-formatted. Read more

fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted. Read more

fn fmt_octal(self) -> FmtOctal<Self> where
Self: Octal,

Causes self to use its Octal implementation when Debug-formatted. Read more

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,

Causes self to use its UpperExp implementation when Debug-formatted. Read more

fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted. Read more

fn fmt_list(self) -> FmtList<Self> where
&'a Self: for<'a> IntoIterator,

Formats each item in a sequence. Read more

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impl<T> From<T> for T

const: unstable · source

fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into for T where
U: From<T>,

const: unstable · source

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

impl<T> Pipe for T where
T: ?Sized,

fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> R

Pipes by value. This is generally the method you want to use. Read more

fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a Self) -> R) -> R where
R: 'a,

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,

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: 'a + ?Sized,
 R: 'a,

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: 'a + ?Sized,
 R: 'a,

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: 'a + ?Sized,
 R: 'a,

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: 'a + ?Sized,
 R: 'a,

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>,
 T: 'a + ?Sized,
 R: 'a,

Borrows self, then passes self.deref() into the pipe function.

fn pipe_deref_mut<'a, T, R>(
 &'a mut self,
 func: impl FnOnce(&'a mut T) -> R
) -> R where
 Self: DerefMut<Target = T> + Deref,
 T: 'a + ?Sized,
 R: 'a,

Mutably borrows self, then passes self.deref_mut() into the pipe function. Read more

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impl<T> Same<T> for T

type Output = T

Should always be Self

impl<T> Tap for T

fn tap(self, func: impl FnOnce(&Self)) -> Self

Immutable access to a value. Read more

fn tap_mut(self, func: impl FnOnce(&mut Self)) -> Self

Mutable access to a value. Read more

fn tap_borrow(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow,
B: ?Sized,

Immutable access to the Borrow of a value. Read more

fn tap_borrow_mut(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut,
B: ?Sized,

Mutable access to the BorrowMut of a value. Read more

fn tap_ref<R>(self, func: impl FnOnce(&R)) -> Self where
Self: AsRef<R>,
R: ?Sized,

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,

Mutable access to the AsMut<R> view of a value. Read more

fn tap_deref<T>(self, func: impl FnOnce(&T)) -> Self where
Self: Deref<Target = T>,
T: ?Sized,

Immutable access to the Deref::Target of a value. Read more

fn tap_deref_mut<T>(self, func: impl FnOnce(&mut T)) -> Self where
Self: DerefMut<Target = T> + Deref,
T: ?Sized,

Mutable access to the Deref::Target of a value. Read more

fn tap_dbg(self, func: impl FnOnce(&Self)) -> Self

Calls .tap() only in debug builds, and is erased in release builds.

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(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow,
B: ?Sized,

Calls .tap_borrow() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_mut_dbg(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut,
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,

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,

Calls .tap_ref_mut() only in debug builds, and is erased in release builds. Read more

fn tap_deref_dbg<T>(self, func: impl FnOnce(&T)) -> Self where
Self: Deref<Target = T>,
T: ?Sized,

Calls .tap_deref() only in debug builds, and is erased in release builds. Read more

fn tap_deref_mut_dbg<T>(self, func: impl FnOnce(&mut T)) -> Self where
Self: DerefMut<Target = T> + Deref,
T: ?Sized,

Calls .tap_deref_mut() only in debug builds, and is erased in release builds. Read more

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impl<T> ToOwned for T where
T: Clone,

type Owned = T

The resulting type after obtaining ownership.

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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more

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fn clone_into(&self, target: &mut T)

🔬 This is a nightly-only experimental API. (toowned_clone_into)

Uses borrowed data to replace owned data, usually by cloning. Read more

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impl<T> ToString for T where
T: Display + ?Sized,

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default fn to_string(&self) -> String

Converts the given value to a String. Read more

impl<T> TryConv for T

fn try_conv<T>(self) -> Result<T, Self::Error> where
Self: TryInto<T>,

Attempts to convert self into T using TryInto<T>. Read more

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impl<T, U> TryFrom for T where
U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>

Performs the conversion.

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impl<T, U> TryInto for T where
U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

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impl<T> DeserializeOwned for T where
T: for<'de> Deserialize<'de>,

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impl<T, Rhs, Output> GroupOps<Rhs, Output> for T where
T: Add<Rhs, Output = Output> + Sub<Rhs, Output = Output> + AddAssign<Rhs> + SubAssign<Rhs>,

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impl<T, Rhs, Output> GroupOpsOwned<Rhs, Output> for T where
T: for<'r> GroupOps<&'r Rhs, Output>,

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impl<T, Rhs, Output> ScalarMul<Rhs, Output> for T where
T: Mul<Rhs, Output = Output> + MulAssign<Rhs>,

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Struct bls12_381_plus::Gt

Implementations

impl Gt

pub fn identity() -> Gt

pub fn double(&self) -> Gt

pub fn to_bytes(&self) -> [u8; 576]

pub fn from_bytes(bytes: &[u8; 576]) -> CtOption<Self>

Trait Implementations

impl<'a, 'b> Add<&'b Gt> for &'a Gt

type Output = Gt

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

impl<'b> Add<&'b Gt> for Gt

type Output = Gt

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

impl<'a> Add<Gt> for &'a Gt

type Output = Gt

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

impl Add<Gt> for Gt

type Output = Gt

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

impl<'b> AddAssign<&'b Gt> for Gt

fn add_assign(&mut self, rhs: &'b Gt)

impl AddAssign<Gt> for Gt

fn add_assign(&mut self, rhs: Gt)

impl Clone for Gt

fn clone(&self) -> Gt

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

impl ConditionallySelectable for Gt

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

fn conditional_assign(&mut self, other: &Self, choice: Choice)

fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

impl ConstantTimeEq for Gt

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

impl Debug for Gt

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

impl Default for Gt

fn default() -> Self

impl<'de> Deserialize<'de> for Gt

fn deserialize<D>(deserializer: D) -> Result<Gt, D::Error> where D: Deserializer<'de>,

impl Display for Gt

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

impl Group for Gt

type Scalar = Scalar

fn random(rng: impl RngCore) -> Self

fn identity() -> Self

fn generator() -> Self

fn is_identity(&self) -> Choice

fn double(&self) -> Self

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

type Output = Gt

fn mul(self, other: &'b Scalar) -> Self::Output

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

type Output = Gt

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

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

type Output = Gt

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

impl Mul<Scalar> for Gt

type Output = Gt

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

impl<'b> MulAssign<&'b Scalar> for Gt

fn mul_assign(&mut self, rhs: &'b Scalar)

impl MulAssign<Scalar> for Gt

fn mul_assign(&mut self, rhs: Scalar)

impl<'a> Neg for &'a Gt

type Output = Gt

fn neg(self) -> Gt

impl Neg for Gt

type Output = Gt

fn neg(self) -> Gt

impl PartialEq<Gt> for Gt

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

fn ne(&self, other: &Rhs) -> bool

impl Serialize for Gt

fn serialize<S>(&self, s: S) -> Result<S::Ok, S::Error> where S: Serializer,

impl<'a, 'b> Sub<&'b Gt> for &'a Gt

type Output = Gt

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

impl<'b> Sub<&'b Gt> for Gt

type Output = Gt

pub fn to_bytes(&self) -> [u8 ; 576]

pub fn from_bytes(bytes: &[u8 ; 576]) -> CtOption<Self>

fn deserialize<D>(deserializer: D) -> Result<Gt, D::Error> where
D: Deserializer<'de>,

fn serialize<S>(&self, s: S) -> Result<S::Ok, S::Error> where
S: Serializer,

impl<T> Sum<T> for Gt where
T: Borrow<Gt>,

fn sum<I>(iter: I) -> Self where
I: Iterator<Item = T>,

impl<T> Any for T where
T: 'static + ?Sized,

impl<T> Borrow<T> for T where
T: ?Sized,

impl<T> BorrowMut<T> for T where
T: ?Sized,

impl<T> ConditionallyNegatable for T where
T: ConditionallySelectable,
&'a T: for<'a> Neg,
<&'a T as Neg>::Output == T,

fn conv<T>(self) -> T where
Self: Into<T>,

fn fmt_binary(self) -> FmtBinary<Self> where
Self: Binary,

fn fmt_display(self) -> FmtDisplay<Self> where
Self: Display,

fn fmt_lower_exp(self) -> FmtLowerExp<Self> where
Self: LowerExp,

fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
Self: LowerHex,

fn fmt_octal(self) -> FmtOctal<Self> where
Self: Octal,

fn fmt_pointer(self) -> FmtPointer<Self> where
Self: Pointer,

fn fmt_upper_exp(self) -> FmtUpperExp<Self> where
Self: UpperExp,

fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
Self: UpperHex,

fn fmt_list(self) -> FmtList<Self> where
&'a Self: for<'a> IntoIterator,

impl<T, U> Into<U> for T where
U: From<T>,

impl<T> Pipe for T where
T: ?Sized,

fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a 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,

fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R where
Self: Borrow<B>,
B: 'a + ?Sized,
R: 'a,

fn pipe_borrow_mut<'a, B, R>(
&'a mut self,
func: impl FnOnce(&'a mut B) -> R
) -> R where
Self: BorrowMut<B>,
B: 'a + ?Sized,
R: 'a,

fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R where
Self: AsRef<U>,
U: 'a + ?Sized,
R: 'a,

fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> R where
Self: AsMut<U>,
U: 'a + ?Sized,
R: 'a,

fn pipe_deref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R where
Self: Deref<Target = T>,
T: 'a + ?Sized,
R: 'a,

fn pipe_deref_mut<'a, T, R>(
&'a mut self,
func: impl FnOnce(&'a mut T) -> R
) -> R where
Self: DerefMut<Target = T> + Deref,
T: 'a + ?Sized,
R: 'a,

fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,

fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
B: ?Sized,