Struct na::linalg::givens::GivensRotation
source · pub struct GivensRotation<T>where
T: ComplexField,{ /* private fields */ }
Expand description
A Givens rotation.
Implementations§
source§impl<T> GivensRotation<T>where
T: ComplexField,
impl<T> GivensRotation<T>where T: ComplexField,
sourcepub fn identity() -> GivensRotation<T>
pub fn identity() -> GivensRotation<T>
The Givents rotation that does nothing.
sourcepub fn new_unchecked(
c: <T as ComplexField>::RealField,
s: T
) -> GivensRotation<T>
pub fn new_unchecked( c: <T as ComplexField>::RealField, s: T ) -> GivensRotation<T>
Initializes a Givens rotation from its components.
The components are copies as-is. It is not checked whether they describe an actually valid Givens rotation.
sourcepub fn new(c: T, s: T) -> (GivensRotation<T>, T)
pub fn new(c: T, s: T) -> (GivensRotation<T>, T)
Initializes a Givens rotation from its non-normalized cosine an sine components.
sourcepub fn try_new(
c: T,
s: T,
eps: <T as ComplexField>::RealField
) -> Option<(GivensRotation<T>, T)>
pub fn try_new( c: T, s: T, eps: <T as ComplexField>::RealField ) -> Option<(GivensRotation<T>, T)>
Initializes a Givens rotation form its non-normalized cosine an sine components.
sourcepub fn cancel_y<S>(
v: &Matrix<T, Const<2>, Const<1>, S>
) -> Option<(GivensRotation<T>, T)>where
S: Storage<T, Const<2>, Const<1>>,
pub fn cancel_y<S>( v: &Matrix<T, Const<2>, Const<1>, S> ) -> Option<(GivensRotation<T>, T)>where S: Storage<T, Const<2>, Const<1>>,
Computes the rotation R
required such that the y
component of R * v
is zero.
Returns None
if no rotation is needed (i.e. if v.y == 0
). Otherwise, this returns the norm
of v
and the rotation r
such that R * v = [ |v|, 0.0 ]^t
where |v|
is the norm of v
.
sourcepub fn cancel_x<S>(
v: &Matrix<T, Const<2>, Const<1>, S>
) -> Option<(GivensRotation<T>, T)>where
S: Storage<T, Const<2>, Const<1>>,
pub fn cancel_x<S>( v: &Matrix<T, Const<2>, Const<1>, S> ) -> Option<(GivensRotation<T>, T)>where S: Storage<T, Const<2>, Const<1>>,
Computes the rotation R
required such that the x
component of R * v
is zero.
Returns None
if no rotation is needed (i.e. if v.x == 0
). Otherwise, this returns the norm
of v
and the rotation r
such that R * v = [ 0.0, |v| ]^t
where |v|
is the norm of v
.
sourcepub fn c(&self) -> <T as ComplexField>::RealField
pub fn c(&self) -> <T as ComplexField>::RealField
The cos part of this roration.
sourcepub fn inverse(&self) -> GivensRotation<T>
pub fn inverse(&self) -> GivensRotation<T>
The inverse of this givens rotation.
sourcepub fn rotate<R2, C2, S2>(&self, rhs: &mut Matrix<T, R2, C2, S2>)where
R2: Dim,
C2: Dim,
S2: StorageMut<T, R2, C2>,
ShapeConstraint: DimEq<R2, Const<2>>,
pub fn rotate<R2, C2, S2>(&self, rhs: &mut Matrix<T, R2, C2, S2>)where R2: Dim, C2: Dim, S2: StorageMut<T, R2, C2>, ShapeConstraint: DimEq<R2, Const<2>>,
Performs the multiplication rhs = self * rhs
in-place.
sourcepub fn rotate_rows<R2, C2, S2>(&self, lhs: &mut Matrix<T, R2, C2, S2>)where
R2: Dim,
C2: Dim,
S2: StorageMut<T, R2, C2>,
ShapeConstraint: DimEq<C2, Const<2>>,
pub fn rotate_rows<R2, C2, S2>(&self, lhs: &mut Matrix<T, R2, C2, S2>)where R2: Dim, C2: Dim, S2: StorageMut<T, R2, C2>, ShapeConstraint: DimEq<C2, Const<2>>,
Performs the multiplication lhs = lhs * self
in-place.
Trait Implementations§
source§impl<T> Clone for GivensRotation<T>where
T: Clone + ComplexField,
<T as ComplexField>::RealField: Clone,
impl<T> Clone for GivensRotation<T>where T: Clone + ComplexField, <T as ComplexField>::RealField: Clone,
source§fn clone(&self) -> GivensRotation<T>
fn clone(&self) -> GivensRotation<T>
1.0.0 · source§fn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
source
. Read moresource§impl<T> Debug for GivensRotation<T>where
T: Debug + ComplexField,
<T as ComplexField>::RealField: Debug,
impl<T> Debug for GivensRotation<T>where T: Debug + ComplexField, <T as ComplexField>::RealField: Debug,
impl<T> Copy for GivensRotation<T>where T: Copy + ComplexField, <T as ComplexField>::RealField: Copy,
Auto Trait Implementations§
impl<T> RefUnwindSafe for GivensRotation<T>where T: RefUnwindSafe, <T as ComplexField>::RealField: RefUnwindSafe,
impl<T> Send for GivensRotation<T>
impl<T> Sync for GivensRotation<T>
impl<T> Unpin for GivensRotation<T>where T: Unpin, <T as ComplexField>::RealField: Unpin,
impl<T> UnwindSafe for GivensRotation<T>where T: UnwindSafe, <T as ComplexField>::RealField: UnwindSafe,
Blanket Implementations§
source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere T: ?Sized,
source§fn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
source§impl<SS, SP> SupersetOf<SS> for SPwhere
SS: SubsetOf<SP>,
impl<SS, SP> SupersetOf<SS> for SPwhere SS: SubsetOf<SP>,
source§fn to_subset(&self) -> Option<SS>
fn to_subset(&self) -> Option<SS>
self
from the equivalent element of its
superset. Read moresource§fn is_in_subset(&self) -> bool
fn is_in_subset(&self) -> bool
self
is actually part of its subset T
(and can be converted to it).source§fn to_subset_unchecked(&self) -> SS
fn to_subset_unchecked(&self) -> SS
self.to_subset
but without any property checks. Always succeeds.source§fn from_subset(element: &SS) -> SP
fn from_subset(element: &SS) -> SP
self
to the equivalent element of its superset.