Struct Sum

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pub struct Sum<T>(/* private fields */);

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impl<T> Sum<T>

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pub fn terms(&self) -> &[T]

Access the terms of the sum as slice reference.

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impl<G: Group> Add<GroupVar<G>> for Sum<Term<G>>

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type Output = Sum<Term<G>>

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

Performs the + operation. Read more
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impl<G: Group> Add<GroupVar<G>> for Sum<Weighted<Term<G>, G::Scalar>>

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type Output = Sum<Weighted<Term<G>, <G as Group>::Scalar>>

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

Performs the + operation. Read more
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impl<G> Add<Sum<GroupVar<G>>> for GroupVar<G>

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type Output = Sum<GroupVar<G>>

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

Performs the + operation. Read more
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impl<G> Add<Sum<ScalarTerm<G>>> for ScalarTerm<G>

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type Output = Sum<ScalarTerm<G>>

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

Performs the + operation. Read more
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impl<G> Add<Sum<ScalarVar<G>>> for ScalarVar<G>

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type Output = Sum<ScalarVar<G>>

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

Performs the + operation. Read more
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impl<T, F: Field> Add<Sum<T>> for Sum<Weighted<T, F>>

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type Output = Sum<Weighted<T, F>>

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

Performs the + operation. Read more
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impl<T, F: Field> Add<Sum<T>> for Weighted<T, F>

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type Output = Sum<Weighted<T, F>>

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

Performs the + operation. Read more
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impl<G> Add<Sum<Term<G>>> for Term<G>

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type Output = Sum<Term<G>>

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

Performs the + operation. Read more
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impl<G: Group> Add<Sum<Weighted<GroupVar<G>, <G as Group>::Scalar>>> for GroupVar<G>

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type Output = Sum<Weighted<GroupVar<G>, <G as Group>::Scalar>>

The resulting type after applying the + operator.
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fn add(self, rhs: Sum<Weighted<GroupVar<G>, G::Scalar>>) -> Self::Output

Performs the + operation. Read more
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impl<G: Group> Add<Sum<Weighted<ScalarTerm<G>, <G as Group>::Scalar>>> for ScalarTerm<G>

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type Output = Sum<Weighted<ScalarTerm<G>, <G as Group>::Scalar>>

The resulting type after applying the + operator.
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fn add(self, rhs: Sum<Weighted<ScalarTerm<G>, G::Scalar>>) -> Self::Output

Performs the + operation. Read more
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impl<G: Group> Add<Sum<Weighted<ScalarVar<G>, <G as Group>::Scalar>>> for ScalarVar<G>

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type Output = Sum<Weighted<ScalarVar<G>, <G as Group>::Scalar>>

The resulting type after applying the + operator.
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fn add(self, rhs: Sum<Weighted<ScalarVar<G>, G::Scalar>>) -> Self::Output

Performs the + operation. Read more
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impl<T, F: Field> Add<Sum<Weighted<T, F>>> for Sum<T>

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type Output = Sum<Weighted<T, F>>

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

Performs the + operation. Read more
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impl<G: Group> Add<Sum<Weighted<Term<G>, <G as Group>::Scalar>>> for Term<G>

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type Output = Sum<Weighted<Term<G>, <G as Group>::Scalar>>

The resulting type after applying the + operator.
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fn add(self, rhs: Sum<Weighted<Term<G>, G::Scalar>>) -> Self::Output

Performs the + operation. Read more
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impl<T> Add<T> for Sum<T>

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type Output = Sum<T>

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

Performs the + operation. Read more
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impl<T, F: Field> Add<T> for Sum<Weighted<T, F>>

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type Output = Sum<Weighted<T, F>>

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

Performs the + operation. Read more
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impl<T, F: Field> Add<Weighted<T, F>> for Sum<T>

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type Output = Sum<Weighted<T, F>>

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

Performs the + operation. Read more
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impl<T> Add for Sum<T>

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type Output = Sum<T>

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

Performs the + operation. Read more
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impl<T: Clone> Clone for Sum<T>

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fn clone(&self) -> Sum<T>

Returns a duplicate of the value. Read more
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const fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<T: Debug> Debug for Sum<T>

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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<G: Group, T: Into<GroupVar<G>>, const N: usize> From<[T; N]> for Sum<GroupVar<G>>

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fn from(terms: [T; N]) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<ScalarVar<G>>, const N: usize> From<[T; N]> for Sum<ScalarVar<G>>

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fn from(terms: [T; N]) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<Term<G>>, const N: usize> From<[T; N]> for Sum<Term<G>>

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fn from(terms: [T; N]) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<Weighted<GroupVar<G>, G::Scalar>>, const N: usize> From<[T; N]> for Sum<Weighted<GroupVar<G>, G::Scalar>>

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fn from(terms: [T; N]) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<Weighted<ScalarVar<G>, G::Scalar>>, const N: usize> From<[T; N]> for Sum<Weighted<ScalarVar<G>, G::Scalar>>

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fn from(terms: [T; N]) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<Weighted<Term<G>, G::Scalar>>, const N: usize> From<[T; N]> for Sum<Weighted<Term<G>, G::Scalar>>

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fn from(terms: [T; N]) -> Self

Converts to this type from the input type.
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impl<T, F: Field> From<Sum<T>> for Sum<Weighted<T, F>>

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fn from(sum: Sum<T>) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<GroupVar<G>>> From<T> for Sum<GroupVar<G>>

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fn from(value: T) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<ScalarVar<G>>> From<T> for Sum<ScalarVar<G>>

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fn from(value: T) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<Term<G>>> From<T> for Sum<Term<G>>

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fn from(value: T) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<Weighted<GroupVar<G>, G::Scalar>>> From<T> for Sum<Weighted<GroupVar<G>, G::Scalar>>

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fn from(value: T) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<Weighted<ScalarVar<G>, G::Scalar>>> From<T> for Sum<Weighted<ScalarVar<G>, G::Scalar>>

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fn from(value: T) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<Weighted<Term<G>, G::Scalar>>> From<T> for Sum<Weighted<Term<G>, G::Scalar>>

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fn from(value: T) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<GroupVar<G>>> From<Vec<T>> for Sum<GroupVar<G>>

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fn from(terms: Vec<T>) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<ScalarVar<G>>> From<Vec<T>> for Sum<ScalarVar<G>>

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fn from(terms: Vec<T>) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<Term<G>>> From<Vec<T>> for Sum<Term<G>>

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fn from(terms: Vec<T>) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<Weighted<GroupVar<G>, G::Scalar>>> From<Vec<T>> for Sum<Weighted<GroupVar<G>, G::Scalar>>

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fn from(terms: Vec<T>) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<Weighted<ScalarVar<G>, G::Scalar>>> From<Vec<T>> for Sum<Weighted<ScalarVar<G>, G::Scalar>>

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fn from(terms: Vec<T>) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<Weighted<Term<G>, G::Scalar>>> From<Vec<T>> for Sum<Weighted<Term<G>, G::Scalar>>

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fn from(terms: Vec<T>) -> Self

Converts to this type from the input type.
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impl<G: Group, T: Into<GroupVar<G>>> FromIterator<T> for Sum<GroupVar<G>>

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fn from_iter<I: IntoIterator<Item = T>>(iter: I) -> Self

Creates a value from an iterator. Read more
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impl<G: Group, T: Into<ScalarVar<G>>> FromIterator<T> for Sum<ScalarVar<G>>

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fn from_iter<I: IntoIterator<Item = T>>(iter: I) -> Self

Creates a value from an iterator. Read more
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impl<G: Group, T: Into<Term<G>>> FromIterator<T> for Sum<Term<G>>

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fn from_iter<I: IntoIterator<Item = T>>(iter: I) -> Self

Creates a value from an iterator. Read more
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impl<G: Group, T: Into<Weighted<GroupVar<G>, G::Scalar>>> FromIterator<T> for Sum<Weighted<GroupVar<G>, G::Scalar>>

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fn from_iter<I: IntoIterator<Item = T>>(iter: I) -> Self

Creates a value from an iterator. Read more
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impl<G: Group, T: Into<Weighted<ScalarVar<G>, G::Scalar>>> FromIterator<T> for Sum<Weighted<ScalarVar<G>, G::Scalar>>

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fn from_iter<I: IntoIterator<Item = T>>(iter: I) -> Self

Creates a value from an iterator. Read more
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impl<G: Group, T: Into<Weighted<Term<G>, G::Scalar>>> FromIterator<T> for Sum<Weighted<Term<G>, G::Scalar>>

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fn from_iter<I: IntoIterator<Item = T>>(iter: I) -> Self

Creates a value from an iterator. Read more
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impl<Rhs: Clone, Lhs: Mul<Rhs>> Mul<Rhs> for Sum<Lhs>

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fn mul(self, rhs: Rhs) -> Self::Output

Multiplication of the sum by a term, implemented as a general distributive property.

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type Output = Sum<<Lhs as Mul<Rhs>>::Output>

The resulting type after applying the * operator.
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impl<T: Neg> Neg for Sum<T>

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fn neg(self) -> Self::Output

Negation a sum, implemented as a general distributive property.

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type Output = Sum<<T as Neg>::Output>

The resulting type after applying the - operator.
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impl<T, Rhs> Sub<Rhs> for Sum<T>
where Rhs: Neg, <Rhs as Neg>::Output: Add<Self>,

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type Output = <<Rhs as Neg>::Output as Add<Sum<T>>>::Output

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

Performs the - operation. Read more

Auto Trait Implementations§

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impl<T> Freeze for Sum<T>

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impl<T> RefUnwindSafe for Sum<T>
where T: RefUnwindSafe,

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impl<T> Send for Sum<T>
where T: Send,

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impl<T> Sync for Sum<T>
where T: Sync,

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impl<T> Unpin for Sum<T>
where T: Unpin,

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impl<T> UnwindSafe for Sum<T>
where T: UnwindSafe,

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, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. 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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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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where Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted.
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where &'a Self: for<'a> IntoIterator,

Formats each item in a sequence. Read more
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fn from(t: T) -> T

Returns the argument unchanged.

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Calls U::from(self).

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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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where R: 'a,

Borrows self and passes that borrow into the pipe function. Read more
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Mutably borrows self and passes that borrow into the pipe function. Read more
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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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where Self: AsRef<U>, U: 'a + ?Sized, R: 'a,

Borrows self, then passes self.as_ref() into the pipe function.
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where Self: AsMut<U>, U: 'a + ?Sized, R: 'a,

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where Self: Deref<Target = T>, T: 'a + ?Sized, R: 'a,

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type Output = T

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

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where Self: TryInto<T>,

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

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