[−][src]Struct oxygengine_physics_2d::prelude::nalgebra::SymmetricTridiagonal
Tridiagonalization of a symmetric matrix.
Implementations
impl<N, D> SymmetricTridiagonal<N, D> where
D: DimSub<U1>,
N: ComplexField,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
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D: DimSub<U1>,
N: ComplexField,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
pub fn new(
m: Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>
) -> SymmetricTridiagonal<N, D>
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m: Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>
) -> SymmetricTridiagonal<N, 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<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>, Matrix<<N as ComplexField>::RealField, D, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, D, U1>>::Buffer>, Matrix<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>>::Buffer>) where
DefaultAllocator: Allocator<<N as ComplexField>::RealField, D, U1>,
DefaultAllocator: Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>,
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self
) -> (Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>, Matrix<<N as ComplexField>::RealField, D, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, D, U1>>::Buffer>, Matrix<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>>::Buffer>) where
DefaultAllocator: Allocator<<N as ComplexField>::RealField, D, U1>,
DefaultAllocator: Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>,
Retrieve the orthogonal transformation, diagonal, and off diagonal elements of this decomposition.
pub fn unpack_tridiagonal(
self
) -> (Matrix<<N as ComplexField>::RealField, D, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, D, U1>>::Buffer>, Matrix<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>>::Buffer>) where
DefaultAllocator: Allocator<<N as ComplexField>::RealField, D, U1>,
DefaultAllocator: Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>,
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self
) -> (Matrix<<N as ComplexField>::RealField, D, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, D, U1>>::Buffer>, Matrix<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>>::Buffer>) where
DefaultAllocator: Allocator<<N as ComplexField>::RealField, D, U1>,
DefaultAllocator: Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>,
Retrieve the diagonal, and off diagonal elements of this decomposition.
pub fn diagonal(
&self
) -> Matrix<<N as ComplexField>::RealField, D, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, D, U1>>::Buffer> where
DefaultAllocator: Allocator<<N as ComplexField>::RealField, D, U1>,
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&self
) -> Matrix<<N as ComplexField>::RealField, D, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, D, U1>>::Buffer> where
DefaultAllocator: Allocator<<N as ComplexField>::RealField, D, U1>,
The diagonal components of this decomposition.
pub fn off_diagonal(
&self
) -> Matrix<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>>::Buffer> where
DefaultAllocator: Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>,
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&self
) -> Matrix<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>>::Buffer> where
DefaultAllocator: Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>,
The off-diagonal components of this decomposition.
pub fn q(
&self
) -> Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>
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&self
) -> Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>
Computes the orthogonal matrix Q
of this decomposition.
pub fn recompose(
self
) -> Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>
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self
) -> Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>
Recomputes the original symmetric matrix.
Trait Implementations
impl<N, D> Clone for SymmetricTridiagonal<N, D> where
D: DimSub<U1> + Clone,
N: Clone + ComplexField,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
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D: DimSub<U1> + Clone,
N: Clone + ComplexField,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
fn clone(&self) -> SymmetricTridiagonal<N, D>
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fn clone_from(&mut self, source: &Self)
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impl<N, D> Copy for SymmetricTridiagonal<N, D> where
D: DimSub<U1>,
N: ComplexField,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>: Copy,
Matrix<N, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<N, <D as DimSub<U1>>::Output, U1>>::Buffer>: Copy,
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D: DimSub<U1>,
N: ComplexField,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>: Copy,
Matrix<N, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<N, <D as DimSub<U1>>::Output, U1>>::Buffer>: Copy,
impl<N, D> Debug for SymmetricTridiagonal<N, D> where
D: DimSub<U1> + Debug,
N: Debug + ComplexField,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
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D: DimSub<U1> + Debug,
N: Debug + ComplexField,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
impl<'de, N, D> Deserialize<'de> for SymmetricTridiagonal<N, D> where
D: DimSub<U1>,
N: ComplexField,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>: Deserialize<'de>,
Matrix<N, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<N, <D as DimSub<U1>>::Output, U1>>::Buffer>: Deserialize<'de>,
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D: DimSub<U1>,
N: ComplexField,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>: Deserialize<'de>,
Matrix<N, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<N, <D as DimSub<U1>>::Output, U1>>::Buffer>: Deserialize<'de>,
fn deserialize<__D>(
__deserializer: __D
) -> Result<SymmetricTridiagonal<N, D>, <__D as Deserializer<'de>>::Error> where
__D: Deserializer<'de>,
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__deserializer: __D
) -> Result<SymmetricTridiagonal<N, D>, <__D as Deserializer<'de>>::Error> where
__D: Deserializer<'de>,
impl<N, D> Serialize for SymmetricTridiagonal<N, D> where
D: DimSub<U1>,
N: ComplexField,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>: Serialize,
Matrix<N, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<N, <D as DimSub<U1>>::Output, U1>>::Buffer>: Serialize,
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D: DimSub<U1>,
N: ComplexField,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
DefaultAllocator: Allocator<N, D, D>,
DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>: Serialize,
Matrix<N, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<N, <D as DimSub<U1>>::Output, U1>>::Buffer>: Serialize,
fn serialize<__S>(
&self,
__serializer: __S
) -> Result<<__S as Serializer>::Ok, <__S as Serializer>::Error> where
__S: Serializer,
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&self,
__serializer: __S
) -> Result<<__S as Serializer>::Ok, <__S as Serializer>::Error> where
__S: Serializer,
Auto Trait Implementations
impl<N, D> !RefUnwindSafe for SymmetricTridiagonal<N, D>
impl<N, D> !Send for SymmetricTridiagonal<N, D>
impl<N, D> !Sync for SymmetricTridiagonal<N, D>
impl<N, D> !Unpin for SymmetricTridiagonal<N, D>
impl<N, D> !UnwindSafe for SymmetricTridiagonal<N, D>
Blanket Implementations
impl<T> Any for T where
T: 'static + ?Sized,
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T: 'static + ?Sized,
impl<T> Any for T where
T: Any,
T: Any,
fn get_type_id(&self) -> TypeId
impl<T> Borrow<T> for T where
T: ?Sized,
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T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized,
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T: ?Sized,
fn borrow_mut(&mut self) -> &mut T
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impl<T> Downcast for T where
T: Any,
T: Any,
fn into_any(self: Box<T>) -> Box<dyn Any + 'static>
fn into_any_rc(self: Rc<T>) -> Rc<dyn Any + 'static>
fn as_any(&self) -> &(dyn Any + 'static)
fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)
impl<T> From<T> for T
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impl<T, U> Into<U> for T where
U: From<T>,
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U: From<T>,
impl<T> Resource for T where
T: Any,
T: Any,
impl<T> Same<T> for T
type Output = T
Should always be Self
impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,
SS: SubsetOf<SP>,
fn to_subset(&self) -> Option<SS>
fn is_in_subset(&self) -> bool
fn to_subset_unchecked(&self) -> SS
fn from_subset(element: &SS) -> SP
impl<T> ToOwned for T where
T: Clone,
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T: Clone,
type Owned = T
The resulting type after obtaining ownership.
fn to_owned(&self) -> T
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fn clone_into(&self, target: &mut T)
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impl<T, U> TryFrom<U> for T where
U: Into<T>,
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U: Into<T>,
type Error = Infallible
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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impl<T, U> TryInto<U> for T where
U: TryFrom<T>,
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U: TryFrom<T>,
type Error = <U as TryFrom<T>>::Error
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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impl<V, T> VZip<V> for T where
V: MultiLane<T>,
V: MultiLane<T>,