[][src]Struct rin::math::Multiplicative

pub struct Multiplicative;

The multiplication operator, commonly symbolized by ×.

Trait Implementations

impl<N, D, R> AbstractSemigroup<Multiplicative> for Similarity<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Returns true if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if associativity holds for the given arguments.

impl<N> AbstractSemigroup<Multiplicative> for Unit<Quaternion<N>> where
    N: Real
[src]

Returns true if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if associativity holds for the given arguments.

impl<N> AbstractSemigroup<Multiplicative> for Unit<Complex<N>> where
    N: Real
[src]

Returns true if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if associativity holds for the given arguments.

impl<N, D, R> AbstractSemigroup<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Returns true if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if associativity holds for the given arguments.

impl<N, D> AbstractSemigroup<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Returns true if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if associativity holds for the given arguments.

impl<N, D, C> AbstractSemigroup<Multiplicative> for Transform<N, D, C> where
    C: TCategory,
    D: DimNameAdd<U1>,
    N: Real,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 
[src]

Returns true if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if associativity holds for the given arguments.

impl<N, D> AbstractSemigroup<Multiplicative> for Rotation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, D>, 
[src]

Returns true if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if associativity holds for the given arguments.

impl<N> AbstractSemigroup<Multiplicative> for Quaternion<N> where
    N: Real
[src]

Returns true if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if associativity holds for the given arguments.

impl<N, D> AbstractSemigroup<Multiplicative> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + AbstractSemigroup<Multiplicative>,
    DefaultAllocator: Allocator<N, D, D>, 
[src]

Returns true if associativity holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if associativity holds for the given arguments.

impl<N, D> AbstractLoop<Multiplicative> for Rotation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, D>, 
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impl<N, D, R> AbstractLoop<Multiplicative> for Similarity<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
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impl<N> AbstractLoop<Multiplicative> for Unit<Complex<N>> where
    N: Real
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impl<N, D, R> AbstractLoop<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

impl<N, D, C> AbstractLoop<Multiplicative> for Transform<N, D, C> where
    C: SubTCategoryOf<TProjective>,
    D: DimNameAdd<U1>,
    N: Real,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 
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impl<N, D> AbstractLoop<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 
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impl<N> AbstractLoop<Multiplicative> for Unit<Quaternion<N>> where
    N: Real
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impl<N, D> Inverse<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 
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impl<N, D, R> Inverse<Multiplicative> for Similarity<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

impl<N, D, C> Inverse<Multiplicative> for Transform<N, D, C> where
    C: SubTCategoryOf<TProjective>,
    D: DimNameAdd<U1>,
    N: Real,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 
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impl<N> Inverse<Multiplicative> for Unit<Complex<N>> where
    N: Real
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impl<N, D> Inverse<Multiplicative> for Rotation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, D>, 
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impl<N, D, R> Inverse<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
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impl<N> Inverse<Multiplicative> for Unit<Quaternion<N>> where
    N: Real
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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>, 
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The underlying scalar field.

impl<N> AbstractModule<Additive, Additive, Multiplicative> for Quaternion<N> where
    N: Real
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The underlying scalar field.

impl<N> AbstractMonoid<Multiplicative> for Quaternion<N> where
    N: Real
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Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

Checks whether operating with the identity element is a no-op for the given argument. Read more

impl<N> AbstractMonoid<Multiplicative> for Unit<Quaternion<N>> where
    N: Real
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Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

Checks whether operating with the identity element is a no-op for the given argument. Read more

impl<N, D> AbstractMonoid<Multiplicative> for Rotation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, D>, 
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Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

Checks whether operating with the identity element is a no-op for the given argument. Read more

impl<N, D> AbstractMonoid<Multiplicative> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + AbstractMonoid<Multiplicative> + One,
    DefaultAllocator: Allocator<N, D, D>, 
[src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

Checks whether operating with the identity element is a no-op for the given argument. Read more

impl<N, D, C> AbstractMonoid<Multiplicative> for Transform<N, D, C> where
    C: TCategory,
    D: DimNameAdd<U1>,
    N: Real,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 
[src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

Checks whether operating with the identity element is a no-op for the given argument. Read more

impl<N, D, R> AbstractMonoid<Multiplicative> for Similarity<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

Checks whether operating with the identity element is a no-op for the given argument. Read more

impl<N> AbstractMonoid<Multiplicative> for Unit<Complex<N>> where
    N: Real
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Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

Checks whether operating with the identity element is a no-op for the given argument. Read more

impl<N, D, R> AbstractMonoid<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

Checks whether operating with the identity element is a no-op for the given argument. Read more

impl<N, D> AbstractMonoid<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more

Checks whether operating with the identity element is a no-op for the given argument. Read more

impl<N> Identity<Multiplicative> for Unit<Complex<N>> where
    N: Real
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Specific identity.

impl<N, D> Identity<Multiplicative> for Rotation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, D>, 
[src]

Specific identity.

impl<N, D, C> Identity<Multiplicative> for Transform<N, D, C> where
    C: TCategory,
    D: DimNameAdd<U1>,
    N: Real,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 
[src]

Specific identity.

impl<N> Identity<Multiplicative> for Quaternion<N> where
    N: Real
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Specific identity.

impl<N, D, R> Identity<Multiplicative> for Similarity<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Specific identity.

impl<N, D> Identity<Multiplicative> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: DimName,
    N: Scalar + Zero + One,
    DefaultAllocator: Allocator<N, D, D>, 
[src]

Specific identity.

impl<N> Identity<Multiplicative> for Unit<Quaternion<N>> where
    N: Real
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Specific identity.

impl<N, D, R> Identity<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Specific identity.

impl<N, D> Identity<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Specific identity.

impl<N, D, R> AbstractMagma<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Performs specific operation.

impl<N> AbstractMagma<Multiplicative> for Unit<Complex<N>> where
    N: Real
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Performs specific operation.

impl<N> AbstractMagma<Multiplicative> for Quaternion<N> where
    N: Real
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Performs specific operation.

impl<N, D> AbstractMagma<Multiplicative> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    DefaultAllocator: Allocator<N, D, D>, 
[src]

Performs specific operation.

impl<N, D, R> AbstractMagma<Multiplicative> for Similarity<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Performs specific operation.

impl<N, D> AbstractMagma<Multiplicative> for Rotation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, D>, 
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Performs specific operation.

impl<N> AbstractMagma<Multiplicative> for Unit<Quaternion<N>> where
    N: Real
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Performs specific operation.

impl<N, D, C> AbstractMagma<Multiplicative> for Transform<N, D, C> where
    C: TCategory,
    D: DimNameAdd<U1>,
    N: Real,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 
[src]

Performs specific operation.

impl<N, D> AbstractMagma<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Performs specific operation.

impl<N, D> AbstractQuasigroup<Multiplicative> for Rotation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, D>, 
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Returns true if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if latin squareness holds for the given arguments.

impl<N, D> AbstractQuasigroup<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Returns true if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if latin squareness holds for the given arguments.

impl<N> AbstractQuasigroup<Multiplicative> for Unit<Complex<N>> where
    N: Real
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Returns true if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if latin squareness holds for the given arguments.

impl<N, D, R> AbstractQuasigroup<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Returns true if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if latin squareness holds for the given arguments.

impl<N, D, C> AbstractQuasigroup<Multiplicative> for Transform<N, D, C> where
    C: SubTCategoryOf<TProjective>,
    D: DimNameAdd<U1>,
    N: Real,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 
[src]

Returns true if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if latin squareness holds for the given arguments.

impl<N, D, R> AbstractQuasigroup<Multiplicative> for Similarity<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

Returns true if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if latin squareness holds for the given arguments.

impl<N> AbstractQuasigroup<Multiplicative> for Unit<Quaternion<N>> where
    N: Real
[src]

Returns true if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more

Returns true if latin squareness holds for the given arguments.

impl<N, D> AbstractGroup<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 
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impl<N> AbstractGroup<Multiplicative> for Unit<Complex<N>> where
    N: Real
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impl<N, D, C> AbstractGroup<Multiplicative> for Transform<N, D, C> where
    C: SubTCategoryOf<TProjective>,
    D: DimNameAdd<U1>,
    N: Real,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 
[src]

impl<N, D> AbstractGroup<Multiplicative> for Rotation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, D>, 
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impl<N, D, R> AbstractGroup<Multiplicative> for Similarity<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

impl<N, D, R> AbstractGroup<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

impl<N> AbstractGroup<Multiplicative> for Unit<Quaternion<N>> where
    N: Real
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impl Copy for Multiplicative
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impl Clone for Multiplicative
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Performs copy-assignment from source. Read more

impl Operator for Multiplicative
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impl Identity<Multiplicative> for f32
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Specific identity.

impl Identity<Multiplicative> for u16
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Specific identity.

impl Identity<Multiplicative> for u64
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Specific identity.

impl Identity<Multiplicative> for i8
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Specific identity.

impl Identity<Multiplicative> for u32
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Specific identity.

impl Identity<Multiplicative> for f64
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Specific identity.

impl Identity<Multiplicative> for u8
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Specific identity.

impl Identity<Multiplicative> for i32
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Specific identity.

impl Identity<Multiplicative> for i64
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Specific identity.

impl<N> Identity<Multiplicative> for Complex<N> where
    N: Clone + Num
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Specific identity.

impl Identity<Multiplicative> for isize
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Specific identity.

impl Identity<Multiplicative> for usize
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Specific identity.

impl Identity<Multiplicative> for i16
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Specific identity.

impl Identity<Multiplicative> for Node
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Specific identity.

Auto Trait Implementations

impl Send for Multiplicative

impl Sync for Multiplicative

Blanket Implementations

impl<T, U> Into for T where
    U: From<T>, 
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impl<T> ToOwned for T where
    T: Clone
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impl<T> From for T
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impl<T, U> TryFrom for T where
    T: From<U>, 
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🔬 This is a nightly-only experimental API. (try_from)

The type returned in the event of a conversion error.

impl<T> Borrow for T where
    T: ?Sized
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impl<T> Any for T where
    T: 'static + ?Sized
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impl<T, U> TryInto for T where
    U: TryFrom<T>, 
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🔬 This is a nightly-only experimental API. (try_from)

The type returned in the event of a conversion error.

impl<T> BorrowMut for T where
    T: ?Sized
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impl<T> Any for T where
    T: Any
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impl<T> SetParameter for T
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Sets value as a parameter of self.

impl<V> IntoVec for V
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impl<V> IntoPnt for V
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impl<T> Same for T
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Should always be Self

impl<SS, SP> SupersetOf for SP where
    SS: SubsetOf<SP>, 
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