Struct heron::rapier_plugin::rapier::parry::na::QR [−][src]
pub struct QR<T, R, C> where
C: Dim,
T: ComplexField,
R: DimMin<C>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>, { /* fields omitted */ }
The QR decomposition of a general matrix.
Implementations
impl<T, R, C> QR<T, R, C> where
C: Dim,
T: ComplexField,
R: DimMin<C>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, R, Const<1_usize>>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
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C: Dim,
T: ComplexField,
R: DimMin<C>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, R, Const<1_usize>>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
pub fn new(
matrix: Matrix<T, R, C, <DefaultAllocator as Allocator<T, R, C>>::Buffer>
) -> QR<T, R, C>
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matrix: Matrix<T, R, C, <DefaultAllocator as Allocator<T, R, C>>::Buffer>
) -> QR<T, R, C>
Computes the QR decomposition using householder reflections.
pub fn r(
&self
) -> Matrix<T, <R as DimMin<C>>::Output, C, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, C>>::Buffer> where
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, C>,
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&self
) -> Matrix<T, <R as DimMin<C>>::Output, C, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, C>>::Buffer> where
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, C>,
Retrieves the upper trapezoidal submatrix R
of this decomposition.
pub fn unpack_r(
self
) -> Matrix<T, <R as DimMin<C>>::Output, C, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, C>>::Buffer> where
DefaultAllocator: Reallocator<T, R, C, <R as DimMin<C>>::Output, C>,
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self
) -> Matrix<T, <R as DimMin<C>>::Output, C, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, C>>::Buffer> where
DefaultAllocator: Reallocator<T, R, C, <R as DimMin<C>>::Output, C>,
Retrieves the upper trapezoidal submatrix R
of this decomposition.
This is usually faster than r
but consumes self
.
pub fn q(
&self
) -> Matrix<T, R, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<T, R, <R as DimMin<C>>::Output>>::Buffer> where
DefaultAllocator: Allocator<T, R, <R as DimMin<C>>::Output>,
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&self
) -> Matrix<T, R, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<T, R, <R as DimMin<C>>::Output>>::Buffer> where
DefaultAllocator: Allocator<T, R, <R as DimMin<C>>::Output>,
Computes the orthogonal matrix Q
of this decomposition.
pub fn unpack(
self
) -> (Matrix<T, R, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<T, R, <R as DimMin<C>>::Output>>::Buffer>, Matrix<T, <R as DimMin<C>>::Output, C, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, C>>::Buffer>) where
<R as DimMin<C>>::Output: DimMin<C>,
DefaultAllocator: Allocator<T, R, <R as DimMin<C>>::Output>,
DefaultAllocator: Reallocator<T, R, C, <R as DimMin<C>>::Output, C>,
<<R as DimMin<C>>::Output as DimMin<C>>::Output == <R as DimMin<C>>::Output,
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self
) -> (Matrix<T, R, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<T, R, <R as DimMin<C>>::Output>>::Buffer>, Matrix<T, <R as DimMin<C>>::Output, C, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, C>>::Buffer>) where
<R as DimMin<C>>::Output: DimMin<C>,
DefaultAllocator: Allocator<T, R, <R as DimMin<C>>::Output>,
DefaultAllocator: Reallocator<T, R, C, <R as DimMin<C>>::Output, C>,
<<R as DimMin<C>>::Output as DimMin<C>>::Output == <R as DimMin<C>>::Output,
Unpacks this decomposition into its two matrix factors.
pub fn q_tr_mul<R2, C2, S2>(&self, rhs: &mut Matrix<T, R2, C2, S2>) where
S2: StorageMut<T, R2, C2>,
R2: Dim,
C2: Dim,
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S2: StorageMut<T, R2, C2>,
R2: Dim,
C2: Dim,
Multiplies the provided matrix by the transpose of the Q
matrix of this decomposition.
impl<T, D> QR<T, D, D> where
T: ComplexField,
D: DimMin<D, Output = D>,
DefaultAllocator: Allocator<T, D, D>,
DefaultAllocator: Allocator<T, D, Const<1_usize>>,
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T: ComplexField,
D: DimMin<D, Output = D>,
DefaultAllocator: Allocator<T, D, D>,
DefaultAllocator: Allocator<T, D, Const<1_usize>>,
pub fn solve<R2, C2, S2>(
&self,
b: &Matrix<T, R2, C2, S2>
) -> Option<Matrix<T, R2, C2, <DefaultAllocator as Allocator<T, R2, C2>>::Buffer>> where
S2: Storage<T, R2, C2>,
R2: Dim,
C2: Dim,
ShapeConstraint: SameNumberOfRows<R2, D>,
DefaultAllocator: Allocator<T, R2, C2>,
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&self,
b: &Matrix<T, R2, C2, S2>
) -> Option<Matrix<T, R2, C2, <DefaultAllocator as Allocator<T, R2, C2>>::Buffer>> where
S2: Storage<T, R2, C2>,
R2: Dim,
C2: Dim,
ShapeConstraint: SameNumberOfRows<R2, D>,
DefaultAllocator: Allocator<T, R2, C2>,
Solves the linear system self * x = b
, where x
is the unknown to be determined.
Returns None
if self
is not invertible.
pub fn solve_mut<R2, C2, S2>(&self, b: &mut Matrix<T, R2, C2, S2>) -> bool where
S2: StorageMut<T, R2, C2>,
R2: Dim,
C2: Dim,
ShapeConstraint: SameNumberOfRows<R2, D>,
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S2: StorageMut<T, R2, C2>,
R2: Dim,
C2: Dim,
ShapeConstraint: SameNumberOfRows<R2, D>,
Solves the linear system self * x = b
, where x
is the unknown to be determined.
If the decomposed matrix is not invertible, this returns false
and its input b
is
overwritten with garbage.
pub fn try_inverse(
&self
) -> Option<Matrix<T, D, D, <DefaultAllocator as Allocator<T, D, D>>::Buffer>>
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&self
) -> Option<Matrix<T, D, D, <DefaultAllocator as Allocator<T, D, D>>::Buffer>>
Computes the inverse of the decomposed matrix.
Returns None
if the decomposed matrix is not invertible.
pub fn is_invertible(&self) -> bool
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Indicates if the decomposed matrix is invertible.
Trait Implementations
impl<T, R, C> Clone for QR<T, R, C> where
C: Clone + Dim,
T: Clone + ComplexField,
R: Clone + DimMin<C>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
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C: Clone + Dim,
T: Clone + ComplexField,
R: Clone + DimMin<C>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
impl<T, R, C> Copy for QR<T, R, C> where
C: Dim,
T: ComplexField,
R: DimMin<C>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
Matrix<T, R, C, <DefaultAllocator as Allocator<T, R, C>>::Buffer>: Copy,
Matrix<T, <R as DimMin<C>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>>::Buffer>: Copy,
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C: Dim,
T: ComplexField,
R: DimMin<C>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
Matrix<T, R, C, <DefaultAllocator as Allocator<T, R, C>>::Buffer>: Copy,
Matrix<T, <R as DimMin<C>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>>::Buffer>: Copy,
impl<T, R, C> Debug for QR<T, R, C> where
C: Debug + Dim,
T: Debug + ComplexField,
R: Debug + DimMin<C>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
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C: Debug + Dim,
T: Debug + ComplexField,
R: Debug + DimMin<C>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
Auto Trait Implementations
impl<T, R, C> !RefUnwindSafe for QR<T, R, C>
impl<T, R, C> !Send for QR<T, R, C>
impl<T, R, C> !Sync for QR<T, R, C>
impl<T, R, C> !Unpin for QR<T, R, C>
impl<T, R, C> !UnwindSafe for QR<T, R, C>
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,
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,
pub fn borrow_mut(&mut self) -> &mut T
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impl<T> CloneAny for T where
T: Any + Clone,
T: Any + Clone,
impl<T> Downcast for T where
T: Any,
T: Any,
pub fn into_any(self: Box<T, Global>) -> Box<dyn Any + 'static, Global>
pub fn into_any_rc(self: Rc<T>) -> Rc<dyn Any + 'static>
pub fn as_any(&self) -> &(dyn Any + 'static)
pub fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)
impl<T> Downcast<T> for T
impl<T> From<T> for T
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impl<T> Instrument for T
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pub fn instrument(self, span: Span) -> Instrumented<Self>
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pub fn in_current_span(self) -> Instrumented<Self>
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impl<T, U> Into<U> for T where
U: From<T>,
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U: From<T>,
impl<T> Pointable for T
pub const ALIGN: usize
type Init = T
The type for initializers.
pub unsafe fn init(init: <T as Pointable>::Init) -> usize
pub unsafe fn deref<'a>(ptr: usize) -> &'a T
pub unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T
pub unsafe fn drop(ptr: usize)
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>,
pub fn to_subset(&self) -> Option<SS>
pub fn is_in_subset(&self) -> bool
pub fn to_subset_unchecked(&self) -> SS
pub 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.
pub fn to_owned(&self) -> T
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pub 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.
pub 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.
pub fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>
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impl<T> Upcast<T> for T
impl<V, T> VZip<V> for T where
V: MultiLane<T>,
V: MultiLane<T>,