Euclidean

manopt_rs::manifolds

Struct Euclidean

pub struct Euclidean;

Expand description

Euclidean manifold - the simplest case where no projection is needed

Trait Implementations§

impl Clone for Euclidean

fn clone(&self) -> Euclidean

Returns a duplicate of the value. Read more

1.0.0 · Source§

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more

impl Debug for Euclidean

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

Formats the value using the given formatter. Read more

impl<B: Backend> Manifold<B> for Euclidean

fn new() -> Self

fn name() -> &'static str

fn project<const D: usize>( _point: Tensor<B, D>, vector: Tensor<B, D>, ) -> Tensor<B, D>

fn retract<const D: usize>( point: Tensor<B, D>, direction: Tensor<B, D>, ) -> Tensor<B, D>

fn inner<const D: usize>( _point: Tensor<B, D>, u: Tensor<B, D>, v: Tensor<B, D>, ) -> Tensor<B, D>

Riemannian inner product at a given point

fn is_in_manifold<const D: usize>(_point: Tensor<B, D>) -> bool

Check if a point is in the manifold. By default, this is not implemented and returns false.

fn egrad2rgrad<const D: usize>( point: Tensor<B, D>, grad: Tensor<B, D>, ) -> Tensor<B, D>

Convert Euclidean gradient to Riemannian gradient

fn expmap<const D: usize>( point: Tensor<B, D>, direction: Tensor<B, D>, ) -> Tensor<B, D>

Exponential map: move from point along tangent vector u with step size

fn parallel_transport<const D: usize>( _point1: Tensor<B, D>, point2: Tensor<B, D>, tangent: Tensor<B, D>, ) -> Tensor<B, D>

Parallel transport of tangent vector from point1 to point2

fn project_tangent<const D: usize>( point: Tensor<B, D>, vector: Tensor<B, D>, ) -> Tensor<B, D>

Project vector to tangent space at point

fn proj<const D: usize>(point: Tensor<B, D>) -> Tensor<B, D>

Project point onto manifold

Auto Trait Implementations§

impl Freeze for Euclidean

impl RefUnwindSafe for Euclidean

impl Send for Euclidean

impl Sync for Euclidean

impl Unpin for Euclidean

impl UnwindSafe for Euclidean

Blanket Implementations§

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

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

impl<T> Borrow<T> for T
where T: ?Sized,

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

impl<T> BorrowMut<T> for T
where T: ?Sized,

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

Mutably borrows from an owned value. Read more

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

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

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

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

fn into(self) -> U

Calls U::from(self).

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

impl<T> IntoEither for T

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

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

impl<T> Pointable for T

const ALIGN: usize

The alignment of pointer.

type Init = T

The type for initializers.

unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more

unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more

unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more

unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more

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

type Owned = T

The resulting type after obtaining ownership.

fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more

fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more

impl<T, U> TryFrom<U> for T
where 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>

Performs the conversion.

impl<T, U> TryInto<U> for T
where 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>

Performs the conversion.

impl<V, T> VZip<V> for T
where V: MultiLane<T>,

fn vzip(self) -> V