Enum Norm 

pub enum Norm {
    Euc = 0,
    Fro = 1,
    Inf = 2,
    Max = 3,
    One = 4,
}

Options to compute vector and matrix norms

Variants

Euc = 0

Specifies the Euclidean-norm

matrix

Will compute the same as Norm::Fro

vector

‖u‖_2 = sqrt(Σ_i |uᵢ|⋅|uᵢ|)

Fro = 1

Specifies the Frobenius-norm (2-norm)

matrix

‖a‖_F = sqrt(Σ_i Σ_j |aᵢⱼ|⋅|aᵢⱼ|) == ‖a‖_2

vector

Will compute the same as Norm::Euc

Inf = 2

Specifies the Inf-norm

matrix

‖a‖_∞ = max_i ( Σ_j |aᵢⱼ| )

vector

Will compute that same as Norm::Max

Max = 3

Specifies the Max-norm

matrix

‖a‖_max = max_ij ( |aᵢⱼ| )

vector

‖u‖_max = max_i ( |uᵢ| ) == ‖u‖_∞

One = 4

Specifies the 1-norm

matrix

‖a‖_1 = max_j ( Σ_i |aᵢⱼ| )

vector (taxicab or sum of abs values)

‖u‖_1 := sum_i |uᵢ|

Trait Implementations

impl Clone for Norm

fn clone(&self) -> Norm

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Norm

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

Formats the value using the given formatter.

impl PartialEq for Norm

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

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Copy for Norm

impl Eq for Norm

impl StructuralPartialEq for Norm