snarkvm_algorithms::r1cs

Struct LinearCombination

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pub struct LinearCombination<F: Field>(pub Vec<(Variable, F)>);
Expand description

This represents a linear combination of some variables, with coefficients in the field F. The (coeff, var) pairs in a LinearCombination are kept sorted according to the index of the variable in its constraint system.

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§0: Vec<(Variable, F)>

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impl<F: Field> LinearCombination<F>

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pub fn zero() -> LinearCombination<F>

Outputs an empty linear combination.

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pub fn replace_in_place(&mut self, other: Self)

Replaces the contents of self with those of other.

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pub fn negate_in_place(&mut self)

Negate the coefficients of all variables in self.

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pub fn double_in_place(&mut self)

Double the coefficients of all variables in self.

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pub fn get_var_loc(&self, search_var: &Variable) -> Result<usize, usize>

Get the location of a variable in self.

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impl<F: Field> Add<&LinearCombination<F>> for &LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the + operator.
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fn add(self, other: &LinearCombination<F>) -> LinearCombination<F>

Performs the + operation. Read more
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impl<'a, F: Field> Add<&'a LinearCombination<F>> for LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the + operator.
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fn add(self, other: &'a LinearCombination<F>) -> LinearCombination<F>

Performs the + operation. Read more
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impl<F: Field> Add<(F, &LinearCombination<F>)> for &LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the + operator.
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fn add( self, (mul_coeff, other): (F, &LinearCombination<F>), ) -> LinearCombination<F>

Performs the + operation. Read more
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impl<'a, F: Field> Add<(F, &'a LinearCombination<F>)> for LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the + operator.
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fn add( self, (mul_coeff, other): (F, &'a LinearCombination<F>), ) -> LinearCombination<F>

Performs the + operation. Read more
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impl<F: Field> Add<(F, LinearCombination<F>)> for &LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the + operator.
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fn add( self, (mul_coeff, other): (F, LinearCombination<F>), ) -> LinearCombination<F>

Performs the + operation. Read more
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impl<F: Field> Add<(F, LinearCombination<F>)> for LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the + operator.
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fn add(self, (mul_coeff, other): (F, Self)) -> Self

Performs the + operation. Read more
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impl<F: Field> Add<(F, Variable)> for LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the + operator.
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fn add(self, coeff_var: (F, Variable)) -> Self

Performs the + operation. Read more
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impl<F: Field> Add<LinearCombination<F>> for &LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the + operator.
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fn add(self, other: LinearCombination<F>) -> LinearCombination<F>

Performs the + operation. Read more
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impl<F: Field> Add<Variable> for LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the + operator.
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fn add(self, other: Variable) -> LinearCombination<F>

Performs the + operation. Read more
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impl<F: Field> Add for LinearCombination<F>

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type Output = LinearCombination<F>

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

Performs the + operation. Read more
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impl<F: Field> AddAssign<(F, Variable)> for LinearCombination<F>

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fn add_assign(&mut self, (coeff, var): (F, Variable))

Performs the += operation. Read more
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impl<F: Field> AsRef<[(Variable, F)]> for LinearCombination<F>

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fn as_ref(&self) -> &[(Variable, F)]

Converts this type into a shared reference of the (usually inferred) input type.
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impl<F: Clone + Field> Clone for LinearCombination<F>

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fn clone(&self) -> LinearCombination<F>

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<F: Debug + Field> Debug for LinearCombination<F>

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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<F: Field> From<(F, Variable)> for LinearCombination<F>

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fn from((coeff, var): (F, Variable)) -> Self

Converts to this type from the input type.
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impl<F: Field> From<Variable> for LinearCombination<F>

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fn from(var: Variable) -> Self

Converts to this type from the input type.
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impl<F: Hash + Field> Hash for LinearCombination<F>

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fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher. Read more
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fn hash_slice<H>(data: &[Self], state: &mut H)
where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl<F: Field> Mul<F> for LinearCombination<F>

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type Output = LinearCombination<F>

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

Performs the * operation. Read more
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impl<F: Field> MulAssign<F> for LinearCombination<F>

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fn mul_assign(&mut self, scalar: F)

Performs the *= operation. Read more
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impl<F: Field> Neg for LinearCombination<F>

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type Output = LinearCombination<F>

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

Performs the unary - operation. Read more
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impl<F: PartialEq + Field> PartialEq for LinearCombination<F>

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fn eq(&self, other: &LinearCombination<F>) -> 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<F: Field> Sub<&LinearCombination<F>> for &LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the - operator.
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fn sub(self, other: &LinearCombination<F>) -> LinearCombination<F>

Performs the - operation. Read more
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impl<'a, F: Field> Sub<&'a LinearCombination<F>> for LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the - operator.
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fn sub(self, other: &'a LinearCombination<F>) -> LinearCombination<F>

Performs the - operation. Read more
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impl<F: Field> Sub<(F, &LinearCombination<F>)> for &LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the - operator.
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fn sub(self, (coeff, other): (F, &LinearCombination<F>)) -> LinearCombination<F>

Performs the - operation. Read more
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impl<'a, F: Field> Sub<(F, &'a LinearCombination<F>)> for LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the - operator.
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fn sub( self, (coeff, other): (F, &'a LinearCombination<F>), ) -> LinearCombination<F>

Performs the - operation. Read more
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impl<F: Field> Sub<(F, LinearCombination<F>)> for &LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the - operator.
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fn sub(self, (coeff, other): (F, LinearCombination<F>)) -> LinearCombination<F>

Performs the - operation. Read more
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impl<F: Field> Sub<(F, LinearCombination<F>)> for LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the - operator.
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fn sub(self, (coeff, other): (F, LinearCombination<F>)) -> LinearCombination<F>

Performs the - operation. Read more
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impl<F: Field> Sub<(F, Variable)> for LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the - operator.
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fn sub(self, (coeff, var): (F, Variable)) -> Self

Performs the - operation. Read more
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impl<F: Field> Sub<LinearCombination<F>> for &LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the - operator.
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fn sub(self, other: LinearCombination<F>) -> LinearCombination<F>

Performs the - operation. Read more
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impl<F: Field> Sub<Variable> for LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the - operator.
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fn sub(self, other: Variable) -> LinearCombination<F>

Performs the - operation. Read more
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impl<F: Field> Sub for LinearCombination<F>

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type Output = LinearCombination<F>

The resulting type after applying the - operator.
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fn sub(self, other: LinearCombination<F>) -> LinearCombination<F>

Performs the - operation. Read more
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impl<F: Eq + Field> Eq for LinearCombination<F>

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impl<F: Field> StructuralPartialEq for LinearCombination<F>

Auto Trait Implementations§

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impl<F> Freeze for LinearCombination<F>

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impl<F> RefUnwindSafe for LinearCombination<F>
where F: RefUnwindSafe,

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impl<F> Send for LinearCombination<F>

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impl<F> Sync for LinearCombination<F>

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impl<F> Unpin for LinearCombination<F>
where F: Unpin,

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impl<F> UnwindSafe for LinearCombination<F>
where F: 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, dst: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. Read more
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impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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fn equivalent(&self, key: &K) -> bool

Checks if this value is equivalent to the given key. Read more
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impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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fn equivalent(&self, key: &K) -> bool

Compare self to key and return true if they are equal.
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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> 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> 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, 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