Struct norman::desc::Abs

pub struct Abs {}

A norm that is defined by an absolute value function on a field.

This is used for implementing the norms on types which represent a mathematical field, like the primitive floating point types (representing the field of real numbers) or the num_complex::Complex types (representing the field of complex numbers).

It can be seen as the most primitive kind of norm.

It is the only kind of norm that is used for further generic implementations, i.e. there are impls of the form impl<T: Norm<Abs>> Norm<SomeNorm> for SomeType<T>.

Methods

impl Abs

pub fn new() -> Self

Creates an Abs norm.

Trait Implementations

impl Norm<Abs> for f32

type Output = Self

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self::Output

Calculates the norm of self, specified by the descriptor desc.

impl Norm<Abs> for f64

type Output = Self

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self::Output

Calculates the norm of self, specified by the descriptor desc.

impl Norm<Abs> for i8

type Output = u8

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self::Output

Calculates the norm of self, specified by the descriptor desc.

impl Norm<Abs> for i16

type Output = u16

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self::Output

Calculates the norm of self, specified by the descriptor desc.

impl Norm<Abs> for i32

type Output = u32

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self::Output

Calculates the norm of self, specified by the descriptor desc.

impl Norm<Abs> for i64

type Output = u64

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self::Output

Calculates the norm of self, specified by the descriptor desc.

impl Norm<Abs> for isize

type Output = usize

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self::Output

Calculates the norm of self, specified by the descriptor desc.

impl Norm<Abs> for u8

type Output = Self

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self::Output

Calculates the norm of self, specified by the descriptor desc.

impl Norm<Abs> for u16

type Output = Self

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self::Output

Calculates the norm of self, specified by the descriptor desc.

impl Norm<Abs> for u32

type Output = Self

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self::Output

Calculates the norm of self, specified by the descriptor desc.

impl Norm<Abs> for u64

type Output = Self

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self::Output

Calculates the norm of self, specified by the descriptor desc.

impl Norm<Abs> for usize

type Output = Self

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self::Output

Calculates the norm of self, specified by the descriptor desc.

impl Norm<Abs> for i128

type Output = u128

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self::Output

Calculates the norm of self, specified by the descriptor desc.

impl Norm<Abs> for u128

type Output = Self

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self::Output

Calculates the norm of self, specified by the descriptor desc.

impl<T: Float> Norm<Abs> for Complex<T>

type Output = T

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> T

Calculates the usual euclidean norm of the complex number.

impl<F: Float, C: FloatChecker<F>> Norm<Abs> for NoisyFloat<F, C>

type Output = Self

The resulting type of the norm function.

fn norm(&self, _desc: Abs) -> Self

Calculates the norm of self, specified by the descriptor desc.

impl Distance<Abs> for f32

type Output = Self

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self::Output

Calculates the distance between self and other.

impl Distance<Abs> for f64

type Output = Self

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self::Output

Calculates the distance between self and other.

impl Distance<Abs> for i8

type Output = u8

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self::Output

Calculates the distance between self and other.

impl Distance<Abs> for i16

type Output = u16

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self::Output

Calculates the distance between self and other.

impl Distance<Abs> for i32

type Output = u32

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self::Output

Calculates the distance between self and other.

impl Distance<Abs> for i64

type Output = u64

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self::Output

Calculates the distance between self and other.

impl Distance<Abs> for isize

type Output = usize

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self::Output

Calculates the distance between self and other.

impl Distance<Abs> for u8

type Output = Self

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self::Output

Calculates the distance between self and other.

impl Distance<Abs> for u16

type Output = Self

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self::Output

Calculates the distance between self and other.

impl Distance<Abs> for u32

type Output = Self

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self::Output

Calculates the distance between self and other.

impl Distance<Abs> for u64

type Output = Self

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self::Output

Calculates the distance between self and other.

impl Distance<Abs> for usize

type Output = Self

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self::Output

Calculates the distance between self and other.

impl Distance<Abs> for i128

type Output = u128

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self::Output

Calculates the distance between self and other.

impl Distance<Abs> for u128

type Output = Self

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self::Output

Calculates the distance between self and other.

impl<T: Float> Distance<Abs> for Complex<T>

type Output = T

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> T

Calculates the usual euclidean norm of the complex number.

impl<F: Float, C: FloatChecker<F>> Distance<Abs> for NoisyFloat<F, C>

type Output = Self

The resulting type of the distance function.

fn distance(&self, other: &Self, _desc: Abs) -> Self

Calculates the distance between self and other.

impl Clone for Abs

fn clone(&self) -> Abs

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Default for Abs

fn default() -> Abs

Returns the "default value" for a type.

impl Copy for Abs

impl Eq for Abs

impl PartialEq<Abs> for Abs

fn eq(&self, other: &Abs) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use] fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl Debug for Abs

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

Formats the value using the given formatter.

impl Hash for Abs

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given [Hasher].

fn hash_slice<H>(data: &[Self], state: &mut H) where
    H: Hasher, 

Feeds a slice of this type into the given [Hasher].