Trait nannou::math::InnerSpace

pub trait InnerSpace: VectorSpace + MetricSpace<Metric = Self::Scalar> + UlpsEq<Self, Epsilon = Self::Scalar> where
    Self::Scalar: BaseFloat, {
    pub fn dot(self, other: Self) -> Self::Scalar;

    pub fn is_perpendicular(self, other: Self) -> bool { ... }
    pub fn magnitude2(self) -> Self::Scalar { ... }
    pub fn magnitude(self) -> Self::Scalar { ... }
    pub fn angle(self, other: Self) -> Rad<Self::Scalar> { ... }
    pub fn normalize(self) -> Self { ... }
    pub fn normalize_to(self, magnitude: Self::Scalar) -> Self { ... }
    pub fn project_on(self, other: Self) -> Self { ... }
}

Vectors that also have a dot (or inner) product.

The dot product allows for the definition of other useful operations, like finding the magnitude of a vector or normalizing it.

Examples include vectors and quaternions.

Required methods

pub fn dot(self, other: Self) -> Self::Scalar

Vector dot (or inner) product.

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Provided methods

pub fn is_perpendicular(self, other: Self) -> bool

Returns true if the vector is perpendicular (at right angles) to the other vector.

pub fn magnitude2(self) -> Self::Scalar

Returns the squared magnitude.

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

pub fn magnitude(self) -> Self::Scalar

The distance from the tail to the tip of the vector.

pub fn angle(self, other: Self) -> Rad<Self::Scalar>

Returns the angle between two vectors in radians.

pub fn normalize(self) -> Self

Returns a vector with the same direction, but with a magnitude of 1.

pub fn normalize_to(self, magnitude: Self::Scalar) -> Self

Returns a vector with the same direction and a given magnitude.

pub fn project_on(self, other: Self) -> Self

Returns the vector projection of the current inner space projected onto the supplied argument.

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Implementations on Foreign Types

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

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

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

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

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

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

pub fn angle(self, other: Vector3<S>) -> Rad<S>

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

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

pub fn angle(self, other: Vector2<S>) -> Rad<S>

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Implementors

impl<S> InnerSpace for nannou::geom::vector::Vector2<S> where
    S: BaseFloat, 

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

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

impl<S> InnerSpace for nannou::geom::vector::Vector3<S> where
    S: BaseFloat, 

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

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

impl<S> InnerSpace for nannou::geom::vector::Vector4<S> where
    S: BaseFloat, 

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

impl<S> InnerSpace for Quaternion<S> where
    S: BaseFloat, 

pub fn dot(self, other: Quaternion<S>) -> S

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