halo2curves::bls12381

Struct Gt

pub struct Gt(/* private fields */);

Implementations§

impl Gt

pub fn identity() -> Gt

Returns the group identity, which is $1$.

pub fn double(&self) -> Gt

Doubles this group element.

Trait Implementations§

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

type Output = Gt

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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

type Output = Gt

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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

type Output = Gt

The resulting type after applying the + operator.

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

Performs the + operation. Read more

impl Add for Gt

type Output = Gt

The resulting type after applying the + operator.

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

Performs the + operation. Read more

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

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

Performs the += operation. Read more

impl AddAssign for Gt

fn add_assign(&mut self, rhs: Gt)

Performs the += operation. Read more

impl Clone for Gt

fn clone(&self) -> Gt

Returns a copy of the value. Read more

1.0.0 · Source§

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

Performs copy-assignment from source. Read more

impl ConditionallySelectable for Gt

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

Select a or b according to choice. Read more

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

Conditionally assign other to self, according to choice. Read more

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

impl ConstantTimeEq for Gt

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

Determine if two items are equal. Read more

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

Determine if two items are NOT equal. Read more

impl Debug for Gt

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

Formats the value using the given formatter. Read more

impl Default for Gt

fn default() -> Gt

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

impl Group for Gt

type Scalar = Fr

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

fn random(rng: impl RngCore) -> Self

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

fn identity() -> Self

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

fn generator() -> Self

Returns a fixed generator of the prime-order subgroup.

fn is_identity(&self) -> Choice

Determines if this point is the identity.

fn double(&self) -> Self

Doubles this element.

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

type Output = Gt

The resulting type after applying the * operator.

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

Performs the * operation. Read more

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

type Output = Gt

The resulting type after applying the * operator.

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

Performs the * operation. Read more

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

type Output = Gt

The resulting type after applying the * operator.

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

Performs the * operation. Read more

impl Mul<Fr> for Gt

type Output = Gt

The resulting type after applying the * operator.

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

Performs the * operation. Read more

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

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

Performs the *= operation. Read more

impl MulAssign<Fr> for Gt

fn mul_assign(&mut self, rhs: Fr)

Performs the *= operation. Read more

impl<'a> Neg for &'a Gt

type Output = Gt

The resulting type after applying the - operator.

fn neg(self) -> Gt

Performs the unary - operation. Read more

impl Neg for Gt

type Output = Gt

The resulting type after applying the - operator.

fn neg(self) -> Gt

Performs the unary - operation. Read more

impl PartialEq for Gt

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

Tests for self and other values to be equal, and is used by ==.

1.0.0 · Source§

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

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

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

type Output = Gt

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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

type Output = Gt

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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

type Output = Gt

The resulting type after applying the - operator.

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

Performs the - operation. Read more

impl Sub for Gt

type Output = Gt

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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

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

Performs the -= operation. Read more

impl SubAssign for Gt

fn sub_assign(&mut self, rhs: Gt)

Performs the -= operation. Read more

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

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

Takes an iterator and generates Self from the elements by “summing up” the items.

impl Copy for Gt

impl Eq for Gt

Auto Trait Implementations§

impl Freeze for Gt

impl RefUnwindSafe for Gt

impl Send for Gt

impl Sync for Gt

impl Unpin for Gt

impl UnwindSafe for Gt

Blanket Implementations§

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

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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

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

Mutably borrows from an owned value. Read more

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

unsafe fn clone_to_uninit(&self, dst: *mut T)

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

Performs copy-assignment from self to dst. Read more

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

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.

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

Causes self to use its Display implementation when Debug-formatted.

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

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

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

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

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

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

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

Causes self to use its Pointer implementation when Debug-formatted.

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

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

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

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

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

Formats each item in a sequence. Read more

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

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

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> IntoEither for T

fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

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

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

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

Mutably borrows self, then passes self.as_mut() into the pipe function.

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.

impl<T> Pointable for T

const ALIGN: usize = _

The alignment of pointer.

type Init = T

The type for initializers.

unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more

unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more

unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more

unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more

impl<T> Same 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<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,

Mutable access to the BorrowMut<B> 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.

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.

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.

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.

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.

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.

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.

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

type Owned = T

The resulting type after obtaining ownership.

fn to_owned(&self) -> T

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

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

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

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

type Error = Infallible

The type returned in the event of a conversion error.

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

Performs the conversion.

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

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.

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

Performs the conversion.

impl<V, T> VZip<V> for T
where V: MultiLane<T>,

fn vzip(self) -> V

impl<T, Scalar> FftGroup<Scalar> for T
where Scalar: Field, T: Copy + Send + Sync + 'static + GroupOpsOwned + ScalarMulOwned<Scalar>,

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

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>,