Struct bevy_rapier3d::prelude::nalgebra::linalg::SymmetricTridiagonal[−][src]

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

Expand description

Tridiagonalization of a symmetric matrix.

Implementations

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

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

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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_usize>, <DefaultAllocator as Allocator<<T as ComplexField>::RealField, D, Const<1_usize>>>::Buffer>, Matrix<<T as ComplexField>::RealField, <D as DimSub<Const<1_usize>>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<<T as ComplexField>::RealField, <D as DimSub<Const<1_usize>>>::Output, Const<1_usize>>>::Buffer>) where
    DefaultAllocator: Allocator<<T as ComplexField>::RealField, D, Const<1_usize>>,
    DefaultAllocator: Allocator<<T as ComplexField>::RealField, <D as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,

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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_usize>, <DefaultAllocator as Allocator<<T as ComplexField>::RealField, D, Const<1_usize>>>::Buffer>, Matrix<<T as ComplexField>::RealField, <D as DimSub<Const<1_usize>>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<<T as ComplexField>::RealField, <D as DimSub<Const<1_usize>>>::Output, Const<1_usize>>>::Buffer>) where
    DefaultAllocator: Allocator<<T as ComplexField>::RealField, D, Const<1_usize>>,
    DefaultAllocator: Allocator<<T as ComplexField>::RealField, <D as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,

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

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

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The diagonal components of this decomposition.

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

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The off-diagonal components of this decomposition.

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

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Computes the orthogonal matrix Q of this decomposition.

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

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Recomputes the original symmetric matrix.

Trait Implementations

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

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pub fn clone(&self) -> SymmetricTridiagonal<T, D>[src]

Returns a copy of the value. Read more

fn clone_from(&mut self, source: &Self)1.0.0 [src]

Performs copy-assignment from source. Read more

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

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

Formats the value using the given formatter. Read more

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

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Auto Trait Implementations

impl<T, D> !RefUnwindSafe for SymmetricTridiagonal<T, D>

impl<T, D> !Send for SymmetricTridiagonal<T, D>

impl<T, D> !Sync for SymmetricTridiagonal<T, D>

impl<T, D> !Unpin for SymmetricTridiagonal<T, D>

impl<T, D> !UnwindSafe for SymmetricTridiagonal<T, D>

Blanket Implementations

impl<T> Any for T where
    T: 'static + ?Sized,

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pub fn type_id(&self) -> TypeId[src]

Gets the TypeId of self. Read more

impl<T> Borrow<T> for T where
    T: ?Sized,

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pub fn borrow(&self) -> &T[src]

Immutably borrows from an owned value. Read more

impl<T> BorrowMut<T> for T where
    T: ?Sized,

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pub fn borrow_mut(&mut self) -> &mut T[src]

Mutably borrows from an owned value. Read more

impl<T> Downcast for T where
    T: Any,

pub fn into_any(self: Box<T, Global>) -> Box<dyn Any + 'static, Global>

Convert Box<dyn Trait> (where Trait: Downcast) to Box<dyn Any>. Box<dyn Any> can then be further downcast into Box<ConcreteType> where ConcreteType implements Trait. Read more

pub fn into_any_rc(self: Rc<T>) -> Rc<dyn Any + 'static>

Convert Rc<Trait> (where Trait: Downcast) to Rc<Any>. Rc<Any> can then be further downcast into Rc<ConcreteType> where ConcreteType implements Trait. Read more

pub fn as_any(&self) -> &(dyn Any + 'static)

Convert &Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &Any’s vtable from &Trait’s. Read more

pub fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Convert &mut Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &mut Any’s vtable from &mut Trait’s. Read more

impl<T> From<T> for T[src]

pub fn from(t: T) -> T[src]

Performs the conversion.

impl<T> Instrument for T[src]

fn instrument(self, span: Span) -> Instrumented<Self>[src]

Instruments this type with the provided Span, returning an Instrumented wrapper. Read more

fn in_current_span(self) -> Instrumented<Self>[src]

Instruments this type with the current Span, returning an Instrumented wrapper. Read more

impl<T, U> Into<U> for T where
    U: From<T>,

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pub fn into(self) -> U[src]

Performs the conversion.

impl<T> Pointable for T

pub const ALIGN: usize

The alignment of pointer.

type Init = T

The type for initializers.

pub unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more

pub unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more

pub unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more

pub unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more

impl<T> Same<T> for T

type Output = T

Should always be Self

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

pub fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

pub fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).

pub fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.

pub fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.

impl<T> ToOwned for T where
    T: Clone,

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type Owned = T

The resulting type after obtaining ownership.

pub fn to_owned(&self) -> T[src]

Creates owned data from borrowed data, usually by cloning. Read more

pub fn clone_into(&self, target: &mut T)[src]

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

recently added

Uses borrowed data to replace owned data, usually by cloning. Read more

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.

pub fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>[src]

Performs the conversion.

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.

pub fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>[src]

Performs the conversion.

impl<V, T> VZip<V> for T where
    V: MultiLane<T>,

pub fn vzip(self) -> V