Trait nannou::math::prelude::MetricSpace

pub trait MetricSpace {
    type Metric: BaseFloat;
    fn distance2(self, other: Self) -> Self::Metric;

    fn distance(self, other: Self) -> Self::Metric { ... }
}

A type with a distance function between values.

Examples are vectors, points, and quaternions.

Associated Types

type Metric: BaseFloat

The metric to be returned by the distance function.

Required Methods

fn distance2(self, other: Self) -> Self::Metric

Returns the squared distance.

This does not perform an expensive square root operation like in MetricSpace::distance method, and so can be used to compare distances more efficiently.

Provided Methods

fn distance(self, other: Self) -> Self::Metric

The distance between two values.

Implementations on Foreign Types

impl<S> MetricSpace for Point3<S> where     S: BaseFloat,

type Metric = S

fn distance2(self, other: Point3<S>) -> S

fn distance(self, other: Self) -> Self::Metric

impl<S> MetricSpace for Point1<S> where     S: BaseFloat,

type Metric = S

fn distance2(self, other: Point1<S>) -> S

fn distance(self, other: Self) -> Self::Metric

impl<S> MetricSpace for Vector3<S> where     S: BaseFloat,

type Metric = S

fn distance2(self, other: Vector3<S>) -> S

fn distance(self, other: Self) -> Self::Metric

impl<S> MetricSpace for Vector2<S> where     S: BaseFloat,

type Metric = S

fn distance2(self, other: Vector2<S>) -> S

fn distance(self, other: Self) -> Self::Metric

impl<S> MetricSpace for Point2<S> where     S: BaseFloat,

type Metric = S

fn distance2(self, other: Point2<S>) -> S

fn distance(self, other: Self) -> Self::Metric

impl<S> MetricSpace for Vector4<S> where     S: BaseFloat,

type Metric = S

fn distance2(self, other: Vector4<S>) -> S

fn distance(self, other: Self) -> Self::Metric

impl<S> MetricSpace for Vector1<S> where     S: BaseFloat,

type Metric = S

fn distance2(self, other: Vector1<S>) -> S

fn distance(self, other: Self) -> Self::Metric

Implementors

• impl<S> MetricSpace for Quaternion<S> where     S: BaseFloat,  type Metric = S;

• impl<S> MetricSpace for nannou::geom::vector::Vector2<S> where     S: BaseFloat,  type Metric = S;

• impl<S> MetricSpace for nannou::geom::vector::Vector3<S> where     S: BaseFloat,  type Metric = S;

• impl<S> MetricSpace for nannou::geom::vector::Vector4<S> where     S: BaseFloat,  type Metric = S;