fyrox_impl::renderer::framework::core::algebra

Struct Bidiagonal

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pub struct Bidiagonal<T, R, C>
where
    T: ComplexField,
    R: DimMin<C>,
    C: Dim,
    <R as DimMin<C>>::Output: DimSub<Const<1>>,
    DefaultAllocator: Allocator<R, C> + Allocator<<R as DimMin<C>>::Output> + Allocator<<<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output>,
{ /* private fields */ }
Expand description

The bidiagonalization of a general matrix.

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impl<T, R, C> Bidiagonal<T, R, C>
where T: ComplexField, R: DimMin<C>, C: Dim, <R as DimMin<C>>::Output: DimSub<Const<1>>, DefaultAllocator: Allocator<R, C> + Allocator<C> + Allocator<R> + Allocator<<R as DimMin<C>>::Output> + Allocator<<<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output>,

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pub fn new( matrix: Matrix<T, R, C, <DefaultAllocator as Allocator<R, C>>::Buffer<T>>, ) -> Bidiagonal<T, R, C>

Computes the Bidiagonal decomposition using householder reflections.

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pub fn is_upper_diagonal(&self) -> bool

Indicates whether this decomposition contains an upper-diagonal matrix.

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pub fn unpack( self, ) -> (Matrix<T, R, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<R, <R as DimMin<C>>::Output>>::Buffer<T>>, Matrix<T, <R as DimMin<C>>::Output, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<<R as DimMin<C>>::Output, <R as DimMin<C>>::Output>>::Buffer<T>>, Matrix<T, <R as DimMin<C>>::Output, C, <DefaultAllocator as Allocator<<R as DimMin<C>>::Output, C>>::Buffer<T>>)
where DefaultAllocator: Allocator<<R as DimMin<C>>::Output, <R as DimMin<C>>::Output> + Allocator<R, <R as DimMin<C>>::Output> + Allocator<<R as DimMin<C>>::Output, C>,

Unpacks this decomposition into its three matrix factors (U, D, V^t).

The decomposed matrix M is equal to U * D * V^t.

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pub fn d( &self, ) -> Matrix<T, <R as DimMin<C>>::Output, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<<R as DimMin<C>>::Output, <R as DimMin<C>>::Output>>::Buffer<T>>
where DefaultAllocator: Allocator<<R as DimMin<C>>::Output, <R as DimMin<C>>::Output>,

Retrieves the upper trapezoidal submatrix R of this decomposition.

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pub fn u( &self, ) -> Matrix<T, R, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<R, <R as DimMin<C>>::Output>>::Buffer<T>>
where DefaultAllocator: Allocator<R, <R as DimMin<C>>::Output>,

Computes the orthogonal matrix U of this U * D * V decomposition.

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pub fn v_t( &self, ) -> Matrix<T, <R as DimMin<C>>::Output, C, <DefaultAllocator as Allocator<<R as DimMin<C>>::Output, C>>::Buffer<T>>
where DefaultAllocator: Allocator<<R as DimMin<C>>::Output, C>,

Computes the orthogonal matrix V_t of this U * D * V_t decomposition.

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pub fn diagonal( &self, ) -> Matrix<<T as ComplexField>::RealField, <R as DimMin<C>>::Output, Const<1>, <DefaultAllocator as Allocator<<R as DimMin<C>>::Output>>::Buffer<<T as ComplexField>::RealField>>
where DefaultAllocator: Allocator<<R as DimMin<C>>::Output>,

The diagonal part of this decomposed matrix.

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pub fn off_diagonal( &self, ) -> Matrix<<T as ComplexField>::RealField, <<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output, Const<1>, <DefaultAllocator as Allocator<<<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output>>::Buffer<<T as ComplexField>::RealField>>
where DefaultAllocator: Allocator<<<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output>,

The off-diagonal part of this decomposed matrix.

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impl<T, R, C> Clone for Bidiagonal<T, R, C>
where T: Clone + ComplexField, R: Clone + DimMin<C>, C: Clone + Dim, <R as DimMin<C>>::Output: DimSub<Const<1>>, DefaultAllocator: Allocator<R, C> + Allocator<<R as DimMin<C>>::Output> + Allocator<<<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output>,

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fn clone(&self) -> Bidiagonal<T, R, C>

Returns a duplicate 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<T, R, C> Debug for Bidiagonal<T, R, C>
where T: Debug + ComplexField, R: Debug + DimMin<C>, C: Debug + Dim, <R as DimMin<C>>::Output: DimSub<Const<1>>, DefaultAllocator: Allocator<R, C> + Allocator<<R as DimMin<C>>::Output> + Allocator<<<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output>,

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fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter. Read more
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impl<'de, T, R, C> Deserialize<'de> for Bidiagonal<T, R, C>
where T: ComplexField, R: DimMin<C>, C: Dim, <R as DimMin<C>>::Output: DimSub<Const<1>>, DefaultAllocator: Allocator<R, C> + Allocator<<R as DimMin<C>>::Output> + Allocator<<<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output>, Matrix<T, R, C, <DefaultAllocator as Allocator<R, C>>::Buffer<T>>: Deserialize<'de>, Matrix<T, <R as DimMin<C>>::Output, Const<1>, <DefaultAllocator as Allocator<<R as DimMin<C>>::Output>>::Buffer<T>>: Deserialize<'de>, Matrix<T, <<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output, Const<1>, <DefaultAllocator as Allocator<<<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output>>::Buffer<T>>: Deserialize<'de>,

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fn deserialize<__D>( __deserializer: __D, ) -> Result<Bidiagonal<T, R, C>, <__D as Deserializer<'de>>::Error>
where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl<T, R, C> Serialize for Bidiagonal<T, R, C>
where T: ComplexField, R: DimMin<C>, C: Dim, <R as DimMin<C>>::Output: DimSub<Const<1>>, DefaultAllocator: Allocator<R, C> + Allocator<<R as DimMin<C>>::Output> + Allocator<<<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output>, Matrix<T, R, C, <DefaultAllocator as Allocator<R, C>>::Buffer<T>>: Serialize, Matrix<T, <R as DimMin<C>>::Output, Const<1>, <DefaultAllocator as Allocator<<R as DimMin<C>>::Output>>::Buffer<T>>: Serialize, Matrix<T, <<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output, Const<1>, <DefaultAllocator as Allocator<<<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output>>::Buffer<T>>: Serialize,

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fn serialize<__S>( &self, __serializer: __S, ) -> Result<<__S as Serializer>::Ok, <__S as Serializer>::Error>
where __S: Serializer,

Serialize this value into the given Serde serializer. Read more
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impl<T, R, C> Copy for Bidiagonal<T, R, C>
where T: ComplexField, R: DimMin<C>, C: Dim, <R as DimMin<C>>::Output: DimSub<Const<1>>, DefaultAllocator: Allocator<R, C> + Allocator<<R as DimMin<C>>::Output> + Allocator<<<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output>, Matrix<T, R, C, <DefaultAllocator as Allocator<R, C>>::Buffer<T>>: Copy, Matrix<T, <R as DimMin<C>>::Output, Const<1>, <DefaultAllocator as Allocator<<R as DimMin<C>>::Output>>::Buffer<T>>: Copy, Matrix<T, <<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output, Const<1>, <DefaultAllocator as Allocator<<<R as DimMin<C>>::Output as DimSub<Const<1>>>::Output>>::Buffer<T>>: Copy,

Auto Trait Implementations§

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impl<T, R, C> !Freeze for Bidiagonal<T, R, C>

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impl<T, R, C> !RefUnwindSafe for Bidiagonal<T, R, C>

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impl<T, R, C> !Send for Bidiagonal<T, R, C>

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impl<T, R, C> !Sync for Bidiagonal<T, R, C>

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impl<T, R, C> !Unpin for Bidiagonal<T, R, C>

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impl<T, R, C> !UnwindSafe for Bidiagonal<T, R, C>

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🔬This is a nightly-only experimental API. (clone_to_uninit)
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