[][src]Struct cgmath::Basis3

pub struct Basis3<S> { /* fields omitted */ }

A three-dimensional rotation matrix.

The matrix is guaranteed to be orthogonal, so some operations, specifically inversion, can be implemented more efficiently than the implementations for math::Matrix3. To ensure orthogonality is maintained, the operations have been restricted to a subset of those implemented on Matrix3.

Methods

impl<S: BaseFloat> Basis3<S>
[src]

pub fn from_quaternion(quaternion: &Quaternion<S>) -> Basis3<S>
[src]

Create a new rotation matrix from a quaternion.

Trait Implementations

impl<S: BaseFloat> Rotation<Point3<S>> for Basis3<S>
[src]

fn rotate_point(&self, point: P) -> P
[src]

Rotate a point using this rotation, by converting it to its representation as a vector. Read more

impl<S: BaseFloat> Rotation3<S> for Basis3<S>
[src]

impl<S: BaseFloat> From<Quaternion<S>> for Basis3<S>
[src]

impl<S: BaseFloat> From<Basis3<S>> for Matrix3<S>
[src]

impl<S: BaseFloat> From<Basis3<S>> for Quaternion<S>
[src]

impl<A: Angle> From<Euler<A>> for Basis3<A::Unitless> where
    A: Into<Rad<<A as Angle>::Unitless>>, 
[src]

fn from(src: Euler<A>) -> Basis3<A::Unitless>
[src]

Create a three-dimensional rotation matrix from a set of euler angles.

impl<S: Copy> Copy for Basis3<S>
[src]

impl<S: PartialEq> PartialEq<Basis3<S>> for Basis3<S>
[src]

impl<S> AsRef<Matrix3<S>> for Basis3<S>
[src]

impl<S: Clone> Clone for Basis3<S>
[src]

fn clone_from(&mut self, source: &Self)
1.0.0
[src]

Performs copy-assignment from source. Read more

impl<S: Debug> Debug for Basis3<S>
[src]

impl<S: BaseFloat> Mul<Basis3<S>> for Basis3<S>
[src]

type Output = Basis3<S>

The resulting type after applying the * operator.

impl<'a, S: BaseFloat> Mul<&'a Basis3<S>> for Basis3<S>
[src]

type Output = Basis3<S>

The resulting type after applying the * operator.

impl<'a, S: BaseFloat> Mul<Basis3<S>> for &'a Basis3<S>
[src]

type Output = Basis3<S>

The resulting type after applying the * operator.

impl<'a, 'b, S: BaseFloat> Mul<&'a Basis3<S>> for &'b Basis3<S>
[src]

type Output = Basis3<S>

The resulting type after applying the * operator.

impl<S: BaseFloat> Product<Basis3<S>> for Basis3<S>
[src]

impl<'a, S: 'a + BaseFloat> Product<&'a Basis3<S>> for Basis3<S>
[src]

impl<S: BaseFloat> AbsDiffEq for Basis3<S>
[src]

type Epsilon = S::Epsilon

Used for specifying relative comparisons.

fn abs_diff_ne(&self, other: &Self, epsilon: Self::Epsilon) -> bool
[src]

The inverse of ApproxEq::abs_diff_eq.

impl<S: BaseFloat> RelativeEq for Basis3<S>
[src]

fn relative_ne(
    &self,
    other: &Self,
    epsilon: Self::Epsilon,
    max_relative: Self::Epsilon
) -> bool
[src]

The inverse of ApproxEq::relative_eq.

impl<S: BaseFloat> UlpsEq for Basis3<S>
[src]

fn ulps_ne(&self, other: &Self, epsilon: Self::Epsilon, max_ulps: u32) -> bool
[src]

The inverse of ApproxEq::ulps_eq.

impl<S: BaseFloat> One for Basis3<S>
[src]

fn is_one(&self) -> bool where
    Self: PartialEq<Self>, 
[src]

Returns true if self is equal to the multiplicative identity. Read more

Auto Trait Implementations

impl<S> Send for Basis3<S> where
    S: Send

impl<S> Sync for Basis3<S> where
    S: Sync

Blanket Implementations

impl<T> From for T
[src]

impl<T, U> Into for T where
    U: From<T>, 
[src]

impl<T> ToOwned for T where
    T: Clone
[src]

type Owned = T

impl<T, U> TryFrom for T where
    T: From<U>, 
[src]

type Error = !

🔬 This is a nightly-only experimental API. (try_from)

The type returned in the event of a conversion error.

impl<T> Borrow for T where
    T: ?Sized
[src]

impl<T> BorrowMut for T where
    T: ?Sized
[src]

impl<T, U> TryInto for T where
    U: TryFrom<T>, 
[src]

type Error = <U as TryFrom<T>>::Error

🔬 This is a nightly-only experimental API. (try_from)

The type returned in the event of a conversion error.

impl<T> Any for T where
    T: 'static + ?Sized
[src]