[−][src]Trait cgmath::prelude::InnerSpace

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

    fn is_perpendicular(self, other: Self) -> bool { ... }

    fn magnitude2(self) -> Self::Scalar { ... }

    fn magnitude(self) -> Self::Scalar { ... }

    fn angle(self, other: Self) -> Rad<Self::Scalar> { ... }

    fn normalize(self) -> Self { ... }

    fn normalize_to(self, magnitude: Self::Scalar) -> Self { ... }

    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

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

Vector dot (or inner) product.

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Provided methods

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

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

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.

fn magnitude(self) -> Self::Scalar

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

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

Returns the angle between two vectors in radians.

fn normalize(self) -> Self

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

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

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

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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Implementors

impl<S: BaseFloat> InnerSpace for Quaternion<S>[src]

impl<S: BaseFloat> InnerSpace for Vector1<S>[src]

impl<S: BaseFloat> InnerSpace for Vector2<S>[src]

impl<S: BaseFloat> InnerSpace for Vector3<S>[src]

impl<S: BaseFloat> InnerSpace for Vector4<S>[src]

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