[−][src]Struct nalgebra::linalg::givens::GivensRotation
A Givens rotation.
Methods
impl<N: ComplexField> GivensRotation<N>
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pub fn identity() -> Self
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The Givents rotation that does nothing.
pub fn new_unchecked(c: N::RealField, s: N) -> Self
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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.
pub fn new(c: N, s: N) -> (Self, N)
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Initializes a Givens rotation from its non-normalized cosine an sine components.
pub fn try_new(c: N, s: N, eps: N::RealField) -> Option<(Self, N)>
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Initializes a Givens rotation form its non-normalized cosine an sine components.
pub fn cancel_y<S: Storage<N, U2>>(v: &Vector<N, U2, S>) -> Option<(Self, N)>
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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
.
pub fn cancel_x<S: Storage<N, U2>>(v: &Vector<N, U2, S>) -> Option<(Self, N)>
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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
.
pub fn c(&self) -> N::RealField
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The cos part of this roration.
pub fn s(&self) -> N
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The sin part of this roration.
pub fn inverse(&self) -> Self
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The inverse of this givens rotation.
pub fn rotate<R2: Dim, C2: Dim, S2: StorageMut<N, R2, C2>>(
&self,
rhs: &mut Matrix<N, R2, C2, S2>
) where
ShapeConstraint: DimEq<R2, U2>,
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&self,
rhs: &mut Matrix<N, R2, C2, S2>
) where
ShapeConstraint: DimEq<R2, U2>,
Performs the multiplication rhs = self * rhs
in-place.
pub fn rotate_rows<R2: Dim, C2: Dim, S2: StorageMut<N, R2, C2>>(
&self,
lhs: &mut Matrix<N, R2, C2, S2>
) where
ShapeConstraint: DimEq<C2, U2>,
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&self,
lhs: &mut Matrix<N, R2, C2, S2>
) where
ShapeConstraint: DimEq<C2, U2>,
Performs the multiplication lhs = lhs * self
in-place.
Trait Implementations
impl<N: Clone + ComplexField> Clone for GivensRotation<N> where
N::RealField: Clone,
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N::RealField: Clone,
fn clone(&self) -> GivensRotation<N>
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fn clone_from(&mut self, source: &Self)
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impl<N: Copy + ComplexField> Copy for GivensRotation<N> where
N::RealField: Copy,
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N::RealField: Copy,
impl<N: Debug + ComplexField> Debug for GivensRotation<N> where
N::RealField: Debug,
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N::RealField: Debug,
Auto Trait Implementations
impl<N> Send for GivensRotation<N> where
<N as ComplexField>::RealField: Send,
<N as ComplexField>::RealField: Send,
impl<N> Unpin for GivensRotation<N> where
N: Unpin,
<N as ComplexField>::RealField: Unpin,
N: Unpin,
<N as ComplexField>::RealField: Unpin,
impl<N> Sync for GivensRotation<N> where
<N as ComplexField>::RealField: Sync,
<N as ComplexField>::RealField: Sync,
impl<N> UnwindSafe for GivensRotation<N> where
N: UnwindSafe,
<N as ComplexField>::RealField: UnwindSafe,
N: UnwindSafe,
<N as ComplexField>::RealField: UnwindSafe,
impl<N> RefUnwindSafe for GivensRotation<N> where
N: RefUnwindSafe,
<N as ComplexField>::RealField: RefUnwindSafe,
N: RefUnwindSafe,
<N as ComplexField>::RealField: RefUnwindSafe,
Blanket Implementations
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> Into<U> for T where
U: From<T>,
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U: From<T>,
impl<T> From<T> for 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<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> Borrow<T> for T where
T: ?Sized,
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T: ?Sized,
impl<T> Any for T where
T: 'static + ?Sized,
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T: 'static + ?Sized,
impl<T> Same<T> for T
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type Output = T
Should always be Self
impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,
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SS: SubsetOf<SP>,