Trait alga::linear::NormedSpace[−][src]

pub trait NormedSpace: VectorSpace<Field = Self::ComplexField> {
    type RealField: RealField;
    type ComplexField: ComplexField<RealField = Self::RealField>;
    fn norm_squared(&self) -> Self::RealField;
    fn norm(&self) -> Self::RealField;
    fn normalize(&self) -> Self;
    fn normalize_mut(&mut self) -> Self::RealField;
    fn try_normalize(&self, eps: Self::RealField) -> Option<Self>;
    fn try_normalize_mut(
        &mut self, 
        eps: Self::RealField
    ) -> Option<Self::RealField>;
}

A normed vector space.

Associated Types

`type RealField: RealField`[src]

The result of the norm (not necessarily the same same as the field used by this vector space).

`type ComplexField: ComplexField<RealField = Self::RealField>`[src]

The field of this space must be this complex number.

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Required methods

`fn norm_squared(&self) -> Self::RealField`[src]

The squared norm of this vector.

`fn norm(&self) -> Self::RealField`[src]

The norm of this vector.

`fn normalize(&self) -> Self`[src]

Returns a normalized version of this vector.

`fn normalize_mut(&mut self) -> Self::RealField`[src]

Normalizes this vector in-place and returns its norm.

`fn try_normalize(&self, eps: Self::RealField) -> Option<Self>`[src]

Returns a normalized version of this vector unless its norm as smaller or equal to eps.

`fn try_normalize_mut(&mut self, eps: Self::RealField) -> Option<Self::RealField>`[src]

Normalizes this vector in-place or does nothing if its norm is smaller or equal to eps.

If the normalization succeeded, returns the old normal of this vector.

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Implementations on Foreign Types

`impl NormedSpace for f32`[src]

`type RealField = f32`

`type ComplexField = f32`

`fn norm_squared(&self) -> Self::RealField`[src]

`fn norm(&self) -> Self::RealField`[src]

`fn normalize(&self) -> Self`[src]

`fn normalize_mut(&mut self) -> Self::RealField`[src]

`fn try_normalize(&self, eps: Self::RealField) -> Option<Self>`[src]

`fn try_normalize_mut(&mut self, eps: Self::RealField) -> Option<Self::RealField>`[src]

`impl NormedSpace for f64`[src]

`type RealField = f64`

`type ComplexField = f64`

`fn norm_squared(&self) -> Self::RealField`[src]

`fn norm(&self) -> Self::RealField`[src]

`fn normalize(&self) -> Self`[src]

`fn normalize_mut(&mut self) -> Self::RealField`[src]

`fn try_normalize(&self, eps: Self::RealField) -> Option<Self>`[src]

`fn try_normalize_mut(&mut self, eps: Self::RealField) -> Option<Self::RealField>`[src]

`impl<N: RealField> NormedSpace for Complex<N>`[src]

`type RealField = N`

`type ComplexField = N`

`fn norm_squared(&self) -> Self::RealField`[src]

`fn norm(&self) -> Self::RealField`[src]

`fn normalize(&self) -> Self`[src]

`fn normalize_mut(&mut self) -> Self::RealField`[src]

`fn try_normalize(&self, eps: Self::RealField) -> Option<Self>`[src]

`fn try_normalize_mut(&mut self, eps: Self::RealField) -> Option<Self::RealField>`[src]

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Implementors

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