halo2curves_axiom::pluto_eris

Struct Gt

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

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impl Gt

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

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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

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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

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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 for Gt

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

Determine if two items are NOT 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() -> Gt

Returns the “default value” for a type. 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

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type Scalar = Fq

Scalars modulo the order of this group’s scalar field.
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fn random(_: 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 MillerLoopResult for Gt

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type Gt = Gt

The extension field that hosts the target group of the pairing.
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fn final_exponentiation(&self) -> Gt

This performs a “final exponentiation” routine to convert the result of a Miller loop into an element of MillerLoopResult::Gt, so that it can be compared with other elements of Gt.
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impl<'a, 'b> Mul<&'b Fq> for &'a Gt

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type Output = Gt

The resulting type after applying the * operator.
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fn mul(self, other: &'b Fq) -> Self::Output

Performs the * operation. Read more
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impl<'b> Mul<&'b Fq> for Gt

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type Output = Gt

The resulting type after applying the * operator.
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fn mul(self, rhs: &'b Fq) -> Gt

Performs the * operation. Read more
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impl<'a> Mul<Fq> for &'a Gt

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type Output = Gt

The resulting type after applying the * operator.
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fn mul(self, rhs: Fq) -> Gt

Performs the * operation. Read more
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impl Mul<Fq> for Gt

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type Output = Gt

The resulting type after applying the * operator.
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fn mul(self, rhs: Fq) -> Gt

Performs the * operation. Read more
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impl<'b> MulAssign<&'b Fq> for Gt

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

Performs the *= operation. Read more
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impl MulAssign<Fq> for Gt

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fn mul_assign(&mut self, rhs: Fq)

Performs the *= operation. Read more
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impl<'a> Neg for &'a Gt

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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

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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 for Gt

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

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<'a, 'b> Sub<&'b Gt> for &'a Gt

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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

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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

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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 for Gt

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

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

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impl Eq for Gt

Auto Trait Implementations§

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impl Freeze for Gt

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impl RefUnwindSafe for Gt

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impl Send for Gt

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impl Sync for Gt

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impl Unpin for Gt

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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,

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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,

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

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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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
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impl<T> ConditionallyNegatable for T
where T: ConditionallySelectable, &'a T: for<'a> 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
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impl<T> Conv for T

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

Converts self into T using Into<T>. Read more
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impl<T> FmtForward for T

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

Causes self to use its Binary implementation when Debug-formatted.
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fn fmt_display(self) -> FmtDisplay<Self>
where Self: Display,

Causes self to use its Display implementation when Debug-formatted.
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fn fmt_lower_exp(self) -> FmtLowerExp<Self>
where Self: LowerExp,

Causes self to use its LowerExp implementation when Debug-formatted.
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fn fmt_lower_hex(self) -> FmtLowerHex<Self>
where Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted.
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fn fmt_octal(self) -> FmtOctal<Self>
where Self: Octal,

Causes self to use its Octal implementation when Debug-formatted.
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fn fmt_pointer(self) -> FmtPointer<Self>
where Self: Pointer,

Causes self to use its Pointer implementation when Debug-formatted.
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fn fmt_upper_exp(self) -> FmtUpperExp<Self>
where Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted.
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fn fmt_upper_hex(self) -> FmtUpperHex<Self>
where Self: UpperHex,

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

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fn from(t: T) -> T

Returns the argument unchanged.

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

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fn into(self) -> U

Calls U::from(self).

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

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impl<T> IntoEither for T

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

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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
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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
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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
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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
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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
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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.
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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.
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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.
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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.
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impl<T> Pointable for T

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const ALIGN: usize = _

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<T> Same for T

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type Output = T

Should always be Self
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impl<T> Tap for T

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

Immutable access to a value. Read more
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fn tap_mut(self, func: impl FnOnce(&mut Self)) -> Self

Mutable access to a value. Read more
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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
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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
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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
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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
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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
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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
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fn tap_dbg(self, func: impl FnOnce(&Self)) -> Self

Calls .tap() only in debug builds, and is erased in release builds.
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fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self

Calls .tap_mut() only in debug builds, and is erased in release builds.
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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.
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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.
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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.
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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.
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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.
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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.
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impl<T> ToOwned for T
where T: Clone,

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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)

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
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impl<T> TryConv for T

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

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V

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

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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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impl<T, Rhs, Output> ScalarMulOwned<Rhs, Output> for T
where T: for<'r> ScalarMul<&'r Rhs, Output>,