JacobiRotation

Struct JacobiRotation 

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#[repr(C)]
pub struct JacobiRotation<T> { pub c: T, pub s: T, }
Expand description

jacobi rotation matrix

$$ \begin{bmatrix} c & -\bar s \\ s & c \end{bmatrix} $$

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§c: T

cosine

§s: T

sine

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impl<T: ComplexField> JacobiRotation<T>

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pub fn apply_on_the_left_2x2( &self, m00: T, m01: T, m10: T, m11: T, ) -> (T, T, T, T)

apply to the given matrix from the left

$$ J \begin{bmatrix} m_{00} & m_{01} \\ m_{10} & m_{11} \end{bmatrix} $$

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pub fn apply_on_the_right_2x2( &self, m00: T, m01: T, m10: T, m11: T, ) -> (T, T, T, T)

apply to the given matrix from the right

$$ \begin{bmatrix} m_{00} & m_{01} \\ m_{10} & m_{11} \end{bmatrix} J $$

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pub fn apply_on_the_left_in_place<N: Shape>( &self, (x, y): (RowMut<'_, T, N>, RowMut<'_, T, N>), )

apply from the left to $x$ and $y$

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pub fn apply_on_the_right_in_place<N: Shape>( &self, (x, y): (ColMut<'_, T, N>, ColMut<'_, T, N>), )

apply from the right to $x$ and $y$

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pub fn adjoint(&self) -> Self

returns the adjoint of self

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pub fn conjugate(&self) -> Self

returns the conjugate of self

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pub fn transpose(&self) -> Self

returns the transpose of self

Trait Implementations§

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impl<T: Clone> Clone for JacobiRotation<T>

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fn clone(&self) -> JacobiRotation<T>

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<T: Debug> Debug for JacobiRotation<T>

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl<T: Copy> Copy for JacobiRotation<T>

Auto Trait Implementations§

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impl<T> Freeze for JacobiRotation<T>
where T: Freeze,

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impl<T> RefUnwindSafe for JacobiRotation<T>
where T: RefUnwindSafe,

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impl<T> Send for JacobiRotation<T>
where T: Send,

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impl<T> Sync for JacobiRotation<T>
where T: Sync,

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impl<T> Unpin for JacobiRotation<T>
where T: Unpin,

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impl<T> UnwindSafe for JacobiRotation<T>
where T: UnwindSafe,

Blanket Implementations§

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

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> ByRef<T> for T

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fn by_ref(&self) -> &T

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

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> DistributionExt for T
where T: ?Sized,

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fn rand<T>(&self, rng: &mut (impl ?Sized + Rng)) -> T
where Self: Distribution<T>,

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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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impl<T> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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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.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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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.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V