[−][src]Struct na::Additive
The addition operator, commonly symbolized by +
.
Trait Implementations
impl<N> AbstractSemigroup<Additive> for Quaternion<N> where
N: Real,
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impl<N> AbstractSemigroup<Additive> for Quaternion<N> where
N: Real,
fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,
Returns true
if associativity holds for the given arguments. Approximate equality is used for verifications. Read more
fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
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fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
Returns true
if associativity holds for the given arguments.
impl<N, R, C> AbstractSemigroup<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractSemigroup<Additive> + ClosedAdd<N>,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
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impl<N, R, C> AbstractSemigroup<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractSemigroup<Additive> + ClosedAdd<N>,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,
Returns true
if associativity holds for the given arguments. Approximate equality is used for verifications. Read more
fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
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fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
Returns true
if associativity holds for the given arguments.
impl<N> AbstractLoop<Additive> for Quaternion<N> where
N: Real,
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impl<N> AbstractLoop<Additive> for Quaternion<N> where
N: Real,
impl<N, R, C> AbstractLoop<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractLoop<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
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impl<N, R, C> AbstractLoop<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractLoop<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
impl<N, R, C> Inverse<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
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impl<N, R, C> Inverse<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
fn inverse(
&self
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
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fn inverse(
&self
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
fn inverse_mut(&mut self)
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fn inverse_mut(&mut self)
impl<N> Inverse<Additive> for Quaternion<N> where
N: Real,
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impl<N> Inverse<Additive> for Quaternion<N> where
N: Real,
impl<N, R, C> AbstractModule<Additive, Additive, Multiplicative> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + RingCommutative,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
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impl<N, R, C> AbstractModule<Additive, Additive, Multiplicative> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + RingCommutative,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
type AbstractRing = N
The underlying scalar field.
fn multiply_by(
&self,
n: N
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
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fn multiply_by(
&self,
n: N
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
impl<N> AbstractModule<Additive, Additive, Multiplicative> for Quaternion<N> where
N: Real,
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impl<N> AbstractModule<Additive, Additive, Multiplicative> for Quaternion<N> where
N: Real,
type AbstractRing = N
The underlying scalar field.
fn multiply_by(&self, n: N) -> Quaternion<N>
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fn multiply_by(&self, n: N) -> Quaternion<N>
impl<N> AbstractMonoid<Additive> for Quaternion<N> where
N: Real,
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impl<N> AbstractMonoid<Additive> for Quaternion<N> where
N: Real,
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
Checks whether operating with the identity element is a no-op for the given argument. Read more
impl<N, R, C> AbstractMonoid<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractMonoid<Additive> + Zero + ClosedAdd<N>,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
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impl<N, R, C> AbstractMonoid<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractMonoid<Additive> + Zero + ClosedAdd<N>,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
Checks whether operating with the identity element is a no-op for the given argument. Read more
impl<N, R, C> AbstractGroupAbelian<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractGroupAbelian<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
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impl<N, R, C> AbstractGroupAbelian<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractGroupAbelian<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
Returns true
if the operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
Returns true
if the operator is commutative for the given argument tuple.
impl<N> AbstractGroupAbelian<Additive> for Quaternion<N> where
N: Real,
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impl<N> AbstractGroupAbelian<Additive> for Quaternion<N> where
N: Real,
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
Returns true
if the operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
Returns true
if the operator is commutative for the given argument tuple.
impl<N> Identity<Additive> for Quaternion<N> where
N: Real,
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impl<N> Identity<Additive> for Quaternion<N> where
N: Real,
impl<N, R, C> Identity<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + Zero,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
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impl<N, R, C> Identity<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + Zero,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
fn identity(
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
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fn identity(
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
fn id(O) -> Self
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fn id(O) -> Self
Specific identity.
impl<N, R, C> AbstractMagma<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + ClosedAdd<N>,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
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impl<N, R, C> AbstractMagma<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + ClosedAdd<N>,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
fn operate(
&self,
other: &Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
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fn operate(
&self,
other: &Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
fn op(&self, O, lhs: &Self) -> Self
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fn op(&self, O, lhs: &Self) -> Self
Performs specific operation.
impl<N> AbstractMagma<Additive> for Quaternion<N> where
N: Real,
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impl<N> AbstractMagma<Additive> for Quaternion<N> where
N: Real,
fn operate(&self, rhs: &Quaternion<N>) -> Quaternion<N>
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fn operate(&self, rhs: &Quaternion<N>) -> Quaternion<N>
fn op(&self, O, lhs: &Self) -> Self
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fn op(&self, O, lhs: &Self) -> Self
Performs specific operation.
impl<N, R, C> AbstractQuasigroup<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractQuasigroup<Additive> + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
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impl<N, R, C> AbstractQuasigroup<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractQuasigroup<Additive> + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
Returns true
if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
Returns true
if latin squareness holds for the given arguments.
impl<N> AbstractQuasigroup<Additive> for Quaternion<N> where
N: Real,
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impl<N> AbstractQuasigroup<Additive> for Quaternion<N> where
N: Real,
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
Returns true
if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
Returns true
if latin squareness holds for the given arguments.
impl<N, R, C> AbstractGroup<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractGroup<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
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impl<N, R, C> AbstractGroup<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractGroup<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
impl<N> AbstractGroup<Additive> for Quaternion<N> where
N: Real,
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impl<N> AbstractGroup<Additive> for Quaternion<N> where
N: Real,
impl Copy for Additive
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impl Copy for Additive
impl Clone for Additive
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impl Clone for Additive
fn clone(&self) -> Additive
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fn clone(&self) -> Additive
fn clone_from(&mut self, source: &Self)
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fn clone_from(&mut self, source: &Self)
Performs copy-assignment from source
. Read more
impl Operator for Additive
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impl Operator for Additive
fn operator_token() -> Additive
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fn operator_token() -> Additive
impl Identity<Additive> for i32
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impl Identity<Additive> for i32
impl Identity<Additive> for u16
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impl Identity<Additive> for u16
impl Identity<Additive> for usize
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impl Identity<Additive> for usize
impl Identity<Additive> for i16
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impl Identity<Additive> for i16
impl Identity<Additive> for u8
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impl Identity<Additive> for u8
impl Identity<Additive> for u32
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impl Identity<Additive> for u32
impl Identity<Additive> for u64
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impl Identity<Additive> for u64
impl Identity<Additive> for isize
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impl Identity<Additive> for isize
impl Identity<Additive> for i64
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impl Identity<Additive> for i64
impl Identity<Additive> for f64
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impl Identity<Additive> for f64
impl<N> Identity<Additive> for Complex<N> where
N: Identity<Additive>,
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impl<N> Identity<Additive> for Complex<N> where
N: Identity<Additive>,
impl Identity<Additive> for f32
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impl Identity<Additive> for f32
impl Identity<Additive> for i8
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impl Identity<Additive> for i8
Auto Trait Implementations
Blanket Implementations
impl<V> IntoVec for V
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impl<V> IntoVec for V
impl<V> IntoPnt for V
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impl<V> IntoPnt for V
impl<T, U> Into for T where
U: From<T>,
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impl<T, U> Into for T where
U: From<T>,
impl<T> ToOwned for T where
T: Clone,
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impl<T> ToOwned for T where
T: Clone,
impl<T> From for T
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impl<T> From for T
impl<T, U> TryFrom for T where
T: From<U>,
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impl<T, U> TryFrom for T where
T: From<U>,
type Error = !
try_from
)The type returned in the event of a conversion error.
fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>
impl<T> Borrow for T where
T: ?Sized,
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impl<T> Borrow for T where
T: ?Sized,
impl<T> Any for T where
T: 'static + ?Sized,
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impl<T> Any for T where
T: 'static + ?Sized,
fn get_type_id(&self) -> TypeId
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fn get_type_id(&self) -> TypeId
impl<T, U> TryInto for T where
U: TryFrom<T>,
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impl<T, U> TryInto for T where
U: TryFrom<T>,
type Error = <U as TryFrom<T>>::Error
try_from
)The type returned in the event of a conversion error.
fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>
impl<T> BorrowMut for T where
T: ?Sized,
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impl<T> BorrowMut for T where
T: ?Sized,
fn borrow_mut(&mut self) -> &mut T
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fn borrow_mut(&mut self) -> &mut T
impl<T> Same for T
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impl<T> Same for T
type Output = T
Should always be Self
impl<SS, SP> SupersetOf for SP where
SS: SubsetOf<SP>,
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impl<SS, SP> SupersetOf for SP where
SS: SubsetOf<SP>,
fn to_subset(&self) -> Option<SS>
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fn to_subset(&self) -> Option<SS>
fn is_in_subset(&self) -> bool
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fn is_in_subset(&self) -> bool
unsafe fn to_subset_unchecked(&self) -> SS
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unsafe fn to_subset_unchecked(&self) -> SS
fn from_subset(element: &SS) -> SP
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fn from_subset(element: &SS) -> SP