Struct rulinalg::norm::Euclidean

source · [−]

pub struct Euclidean;

Expand description

The Euclidean norm

The Euclidean norm computes the square-root of the sum of squares.

||v|| = SQRT(SUM(v_i * v_i))

Trait Implementations

source

impl Debug for Euclidean

source

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

Formats the value using the given formatter. Read more

source

impl<T: Float, M: BaseMatrix<T>> MatrixNorm<T, M> for Euclidean

source

fn norm(&self, m: &M) -> T

Computes the matrix norm.

source

impl<T: Float> VectorNorm<T> for Euclidean

source

fn norm(&self, v: &Vector<T>) -> T

Computes the vector norm.

Auto Trait Implementations

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 Twhere
T: 'static + ?Sized,

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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

const: unstable

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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

const: unstable

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

Mutably borrows from an owned value. Read more

impl<T> From<T> for T

const: unstable

fn from(t: T) -> T

Returns the argument unchanged.

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

const: unstable

fn into(self) -> U

Calls U::from(self).

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

source

impl<'a, 'b, U, T, M1, M2> MatrixMetric<'a, 'b, T, M1, M2> for Uwhere
 U: MatrixNorm<T, Matrix<T>>,
 M1: 'a + BaseMatrix<T>,
 M2: 'b + BaseMatrix<T>,
 &'a M1: Sub<&'b M2, Output = Matrix<T>>,

source

fn metric(&self, m1: &'a M1, m2: &'b M2) -> T

Computes the metric distance between two matrices.

impl<T, U> TryFrom for Twhere
U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable

fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>

Performs the conversion.

impl<T, U> TryInto for Twhere
U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable

fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

source

impl<U, T> VectorMetric<T> for Uwhere
U: VectorNorm<T>,
T: Copy + Sub<T, Output = T>,

source

fn metric(&self, v1: &Vector<T>, v2: &Vector<T>) -> T

Computes the metric distance between two vectors.

Struct rulinalg::norm::Euclidean

Trait Implementations

impl Debug for Euclidean

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

impl<T: Float, M: BaseMatrix<T>> MatrixNorm<T, M> for Euclidean

fn norm(&self, m: &M) -> T

impl<T: Float> VectorNorm<T> for Euclidean

fn norm(&self, v: &Vector<T>) -> T

Auto Trait Implementations

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 Twhere
T: 'static + ?Sized,

fn type_id(&self) -> TypeId

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

fn borrow(&self) -> &T

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

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

impl<T> From<T> for T

fn from(t: T) -> T

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

fn into(self) -> U

impl<'a, 'b, U, T, M1, M2> MatrixMetric<'a, 'b, T, M1, M2> for Uwhere
    U: MatrixNorm<T, Matrix<T>>,
    M1: 'a + BaseMatrix<T>,
    M2: 'b + BaseMatrix<T>,
    &'a M1: Sub<&'b M2, Output = Matrix<T>>,

fn metric(&self, m1: &'a M1, m2: &'b M2) -> T

impl<T, U> TryFrom<U> for Twhere
U: Into<T>,

type Error = Infallible

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

impl<T, U> TryInto<U> for Twhere
U: TryFrom<T>,

type Error = <U as TryFrom<T>>::Error

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

impl<U, T> VectorMetric<T> for Uwhere
U: VectorNorm<T>,
T: Copy + Sub<T, Output = T>,

fn metric(&self, v1: &Vector<T>, v2: &Vector<T>) -> T

Struct rulinalg::norm::Euclidean

Trait Implementations

impl Debug for Euclidean

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

impl<T: Float, M: BaseMatrix<T>> MatrixNorm<T, M> for Euclidean

fn norm(&self, m: &M) -> T

impl<T: Float> VectorNorm<T> for Euclidean

fn norm(&self, v: &Vector<T>) -> T

Auto Trait Implementations

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 Twhere T: 'static + ?Sized,

fn type_id(&self) -> TypeId

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

fn borrow(&self) -> &T

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

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

impl<T> From<T> for T

fn from(t: T) -> T

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

fn into(self) -> U

impl<'a, 'b, U, T, M1, M2> MatrixMetric<'a, 'b, T, M1, M2> for Uwhere U: MatrixNorm<T, Matrix<T>>, M1: 'a + BaseMatrix<T>, M2: 'b + BaseMatrix<T>, &'a M1: Sub<&'b M2, Output = Matrix<T>>,

fn metric(&self, m1: &'a M1, m2: &'b M2) -> T

impl<T, U> TryFrom<U> for Twhere U: Into<T>,

type Error = Infallible

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

impl<T, U> TryInto<U> for Twhere U: TryFrom<T>,

type Error = <U as TryFrom<T>>::Error

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

impl<U, T> VectorMetric<T> for Uwhere U: VectorNorm<T>, T: Copy + Sub<T, Output = T>,

fn metric(&self, v1: &Vector<T>, v2: &Vector<T>) -> T

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

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

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

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

impl<'a, 'b, U, T, M1, M2> MatrixMetric<'a, 'b, T, M1, M2> for Uwhere
U: MatrixNorm<T, Matrix<T>>,
M1: 'a + BaseMatrix<T>,
M2: 'b + BaseMatrix<T>,
&'a M1: Sub<&'b M2, Output = Matrix<T>>,

impl<T, U> TryFrom<U> for Twhere
U: Into<T>,

impl<T, U> TryInto<U> for Twhere
U: TryFrom<T>,

impl<U, T> VectorMetric<T> for Uwhere
U: VectorNorm<T>,
T: Copy + Sub<T, Output = T>,