snark_verifier::loader::halo2

Struct Scalar

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pub struct Scalar<C: CurveAffine, EccChip: EccInstructions<C>> { /* private fields */ }
Expand description

Field element

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impl<C: CurveAffine, EccChip: EccInstructions<C>> Scalar<C, EccChip>

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pub fn loader(&self) -> &Rc<Halo2Loader<C, EccChip>>

Returns reference of Rc<Halo2Loader>

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pub fn into_assigned(self) -> EccChip::AssignedScalar

Returns reference of EccInstructions::AssignedScalar.

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pub fn assigned(&self) -> Ref<'_, EccChip::AssignedScalar>

Returns reference of EccInstructions::AssignedScalar.

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impl<'b, C: CurveAffine, EccChip: EccInstructions<C>> Add<&'b Scalar<C, EccChip>> for Scalar<C, EccChip>

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type Output = Scalar<C, EccChip>

The resulting type after applying the + operator.
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fn add(self, rhs: &'b Self) -> Self::Output

Performs the + operation. Read more
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impl<C: CurveAffine, EccChip: EccInstructions<C>> Add for Scalar<C, EccChip>

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type Output = Scalar<C, EccChip>

The resulting type after applying the + operator.
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fn add(self, rhs: Self) -> Self::Output

Performs the + operation. Read more
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impl<'b, C: CurveAffine, EccChip: EccInstructions<C>> AddAssign<&'b Scalar<C, EccChip>> for Scalar<C, EccChip>

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

Performs the += operation. Read more
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impl<C: CurveAffine, EccChip: EccInstructions<C>> AddAssign for Scalar<C, EccChip>

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fn add_assign(&mut self, rhs: Self)

Performs the += operation. Read more
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impl<C: Clone + CurveAffine, EccChip: Clone + EccInstructions<C>> Clone for Scalar<C, EccChip>
where C::Scalar: Clone, EccChip::AssignedScalar: Clone,

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fn clone(&self) -> Scalar<C, EccChip>

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<C: CurveAffine, EccChip: EccInstructions<C>> Debug for Scalar<C, EccChip>

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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<C: CurveAffine, EccChip: EccInstructions<C>> FieldOps for Scalar<C, EccChip>

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fn invert(&self) -> Option<Self>

Returns multiplicative inversion if any.
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impl<C: CurveAffine, EccChip: EccInstructions<C>> LoadedScalar<<C as PrimeCurveAffine>::Scalar> for Scalar<C, EccChip>

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type Loader = Rc<Halo2Loader<C, EccChip>>

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fn loader(&self) -> &Self::Loader

Returns Loader.
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fn pow_var(&self, exp: &Self, max_bits: usize) -> Self

Returns power to exponent, where exponent is also LoadedScalar. If Loader is for Halo2, then exp must have at most exp_max_bits bits (otherwise constraints will fail). Read more
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fn square(&self) -> Self

Returns square.
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fn invert(&self) -> Option<Self>

Returns inverse if any.
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fn pow_const(&self, exp: u64) -> Self

Returns power to exponent.
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fn powers(&self, n: usize) -> Vec<Self>

Returns powers up to exponent n-1.
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impl<'b, C: CurveAffine, EccChip: EccInstructions<C>> Mul<&'b Scalar<C, EccChip>> for Scalar<C, EccChip>

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type Output = Scalar<C, EccChip>

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

Performs the * operation. Read more
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impl<C: CurveAffine, EccChip: EccInstructions<C>> Mul for Scalar<C, EccChip>

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type Output = Scalar<C, EccChip>

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

Performs the * operation. Read more
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impl<'b, C: CurveAffine, EccChip: EccInstructions<C>> MulAssign<&'b Scalar<C, EccChip>> for Scalar<C, EccChip>

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

Performs the *= operation. Read more
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impl<C: CurveAffine, EccChip: EccInstructions<C>> MulAssign for Scalar<C, EccChip>

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fn mul_assign(&mut self, rhs: Self)

Performs the *= operation. Read more
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impl<C: CurveAffine, EccChip: EccInstructions<C>> Neg for Scalar<C, EccChip>

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type Output = Scalar<C, EccChip>

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl<C: CurveAffine, EccChip: EccInstructions<C>> PartialEq for Scalar<C, EccChip>

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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<'b, C: CurveAffine, EccChip: EccInstructions<C>> Sub<&'b Scalar<C, EccChip>> for Scalar<C, EccChip>

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type Output = Scalar<C, EccChip>

The resulting type after applying the - operator.
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fn sub(self, rhs: &'b Self) -> Self::Output

Performs the - operation. Read more
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impl<C: CurveAffine, EccChip: EccInstructions<C>> Sub for Scalar<C, EccChip>

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type Output = Scalar<C, EccChip>

The resulting type after applying the - operator.
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fn sub(self, rhs: Self) -> Self::Output

Performs the - operation. Read more
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impl<'b, C: CurveAffine, EccChip: EccInstructions<C>> SubAssign<&'b Scalar<C, EccChip>> for Scalar<C, EccChip>

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

Performs the -= operation. Read more
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impl<C: CurveAffine, EccChip: EccInstructions<C>> SubAssign for Scalar<C, EccChip>

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fn sub_assign(&mut self, rhs: Self)

Performs the -= operation. Read more

Auto Trait Implementations§

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impl<C, EccChip> !Freeze for Scalar<C, EccChip>

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impl<C, EccChip> !RefUnwindSafe for Scalar<C, EccChip>

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impl<C, EccChip> !Send for Scalar<C, EccChip>

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impl<C, EccChip> !Sync for Scalar<C, EccChip>

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impl<C, EccChip> Unpin for Scalar<C, EccChip>
where <C as CurveAffine>::ScalarExt: Unpin, <EccChip as EccInstructions<C>>::AssignedScalar: Unpin,

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impl<C, EccChip> !UnwindSafe for Scalar<C, EccChip>

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> 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> DynClone for T
where T: Clone,

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fn __clone_box(&self, _: Private) -> *mut ()

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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> Instrument for T

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fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided Span, returning an Instrumented wrapper. Read more
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fn in_current_span(self) -> Instrumented<Self>

Instruments this type with the current Span, returning an Instrumented wrapper. Read more
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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<F, Fp, Pt, FC> Selectable<F, Reduced<Pt, Fp>> for FC
where F: BigPrimeField, Pt: Clone, FC: Selectable<F, Pt>,

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fn select( &self, ctx: &mut Context<F>, a: Reduced<Pt, Fp>, b: Reduced<Pt, Fp>, sel: AssignedValue<F>, ) -> Reduced<Pt, Fp>

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fn select_by_indicator( &self, ctx: &mut Context<F>, a: &impl AsRef<[Reduced<Pt, Fp>]>, coeffs: &[AssignedValue<F>], ) -> Reduced<Pt, Fp>

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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,

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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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where Self: Deref<Target = T>, T: ?Sized,

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where Self: DerefMut<Target = T> + Deref, T: ?Sized,

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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,

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where Self: BorrowMut<B>, B: ?Sized,

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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,

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where Self: Deref<Target = T>, T: ?Sized,

Calls .tap_deref() only in debug builds, and is erased in release builds.
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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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Uses borrowed data to replace owned data, usually by cloning. Read more
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fn try_conv<T>(self) -> Result<T, Self::Error>
where Self: TryInto<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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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> WithSubscriber for T

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fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>
where S: Into<Dispatch>,

Attaches the provided Subscriber to this type, returning a WithDispatch wrapper. Read more
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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>,

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impl<T> SyncDeps for T