Struct rust_pathtracer::prelude::SymmetricTridiagonal

pub struct SymmetricTridiagonal<T, D>where
    T: ComplexField,
    D: DimSub<Const<1>>,
    DefaultAllocator: Allocator<T, D, D> + Allocator<T, <D as DimSub<Const<1>>>::Output, Const<1>>,{ /* private fields */ }

Tridiagonalization of a symmetric matrix.

Implementations

impl<T, D> SymmetricTridiagonal<T, D>where T: ComplexField, D: DimSub<Const<1>>, DefaultAllocator: Allocator<T, D, D> + Allocator<T, <D as DimSub<Const<1>>>::Output, Const<1>>,

pub fn new( m: Matrix<T, D, D, <DefaultAllocator as Allocator<T, D, D>>::Buffer> ) -> SymmetricTridiagonal<T, D>

Computes the tridiagonalization of the symmetric matrix m.

Only the lower-triangular part (including the diagonal) of m is read.

pub fn unpack( self ) -> (Matrix<T, D, D, <DefaultAllocator as Allocator<T, D, D>>::Buffer>, Matrix<<T as ComplexField>::RealField, D, Const<1>, <DefaultAllocator as Allocator<<T as ComplexField>::RealField, D, Const<1>>>::Buffer>, Matrix<<T as ComplexField>::RealField, <D as DimSub<Const<1>>>::Output, Const<1>, <DefaultAllocator as Allocator<<T as ComplexField>::RealField, <D as DimSub<Const<1>>>::Output, Const<1>>>::Buffer>)where DefaultAllocator: Allocator<<T as ComplexField>::RealField, D, Const<1>> + Allocator<<T as ComplexField>::RealField, <D as DimSub<Const<1>>>::Output, Const<1>>,

Retrieve the orthogonal transformation, diagonal, and off diagonal elements of this decomposition.

pub fn unpack_tridiagonal( self ) -> (Matrix<<T as ComplexField>::RealField, D, Const<1>, <DefaultAllocator as Allocator<<T as ComplexField>::RealField, D, Const<1>>>::Buffer>, Matrix<<T as ComplexField>::RealField, <D as DimSub<Const<1>>>::Output, Const<1>, <DefaultAllocator as Allocator<<T as ComplexField>::RealField, <D as DimSub<Const<1>>>::Output, Const<1>>>::Buffer>)where DefaultAllocator: Allocator<<T as ComplexField>::RealField, D, Const<1>> + Allocator<<T as ComplexField>::RealField, <D as DimSub<Const<1>>>::Output, Const<1>>,

Retrieve the diagonal, and off diagonal elements of this decomposition.

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

The diagonal components of this decomposition.

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

The off-diagonal components of this decomposition.

pub fn q( &self ) -> Matrix<T, D, D, <DefaultAllocator as Allocator<T, D, D>>::Buffer>

Computes the orthogonal matrix Q of this decomposition.

pub fn recompose( self ) -> Matrix<T, D, D, <DefaultAllocator as Allocator<T, D, D>>::Buffer>

Recomputes the original symmetric matrix.

Trait Implementations

impl<T, D> Clone for SymmetricTridiagonal<T, D>where T: Clone + ComplexField, D: Clone + DimSub<Const<1>>, DefaultAllocator: Allocator<T, D, D> + Allocator<T, <D as DimSub<Const<1>>>::Output, Const<1>>,

fn clone(&self) -> SymmetricTridiagonal<T, D>

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<T, D> Debug for SymmetricTridiagonal<T, D>where T: Debug + ComplexField, D: Debug + DimSub<Const<1>>, DefaultAllocator: Allocator<T, D, D> + Allocator<T, <D as DimSub<Const<1>>>::Output, Const<1>>,

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

Formats the value using the given formatter.

impl<T, D> Copy for SymmetricTridiagonal<T, D>where T: ComplexField, D: DimSub<Const<1>>, DefaultAllocator: Allocator<T, D, D> + Allocator<T, <D as DimSub<Const<1>>>::Output, Const<1>>, Matrix<T, D, D, <DefaultAllocator as Allocator<T, D, D>>::Buffer>: Copy, Matrix<T, <D as DimSub<Const<1>>>::Output, Const<1>, <DefaultAllocator as Allocator<T, <D as DimSub<Const<1>>>::Output, Const<1>>>::Buffer>: Copy,