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Struct ultraviolet::rotor::Rotor2[][src]

#[repr(C)]
pub struct Rotor2 { pub s: f32, pub bv: Bivec2, }
Expand description

A Rotor in 2d space.

Please see the module level documentation for more information on rotors!

Fields

s: f32bv: Bivec2

Implementations

impl Rotor2[src]

pub const fn new(scalar: f32, bivector: Bivec2) -> Self[src]

pub fn identity() -> Self[src]

pub fn from_rotation_between(from: Vec2, to: Vec2) -> Self[src]

Construct a Rotor that rotates one vector to another.

A rotation between antiparallel vectors is undefined!

pub fn from_angle_plane(angle: f32, plane: Bivec2) -> Self[src]

Construct a rotor given a bivector which defines a plane and rotation orientation, and a rotation angle.

plane must be normalized!

This is the equivalent of an axis-angle rotation.

pub fn from_angle(angle: f32) -> Self[src]

Construct a rotor given only an angle. This is possible in 2d since there is only one possible plane of rotation. However, there are two possible orientations. This function uses the common definition of positive angle in 2d as meaning the direction which brings the x unit vector towards the y unit vector.

pub fn mag_sq(&self) -> f32[src]

pub fn mag(&self) -> f32[src]

pub fn normalize(&mut self)[src]

#[must_use = "Did you mean to use `.normalize()` to normalize `self` in place?"]
pub fn normalized(&self) -> Self
[src]

pub fn reverse(&mut self)[src]

pub fn reversed(&self) -> Self[src]

pub fn dot(&self, rhs: Self) -> f32[src]

pub fn rotate_by(&mut self, other: Self)[src]

Rotates this rotor by another rotor in-place. Note that if you are looking to compose rotations, you should NOT use this operation and rather just use regular left-multiplication like for matrix composition.

pub fn rotated_by(self, other: Self) -> Self[src]

Rotates this rotor by another rotor and returns the result. Note that if you are looking to compose rotations, you should NOT use this operation and rather just use regular left-multiplication like for matrix composition.

pub fn rotate_vec(self, vec: &mut Vec2)[src]

Rotates a vector by this rotor.

self must be normalized!

pub fn into_matrix(self) -> Mat2[src]

pub fn layout() -> Layout[src]

Trait Implementations

impl Add<Rotor2> for Rotor2[src]

type Output = Self

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self[src]

Performs the + operation. Read more

impl AddAssign<Rotor2> for Rotor2[src]

fn add_assign(&mut self, rhs: Self)[src]

Performs the += operation. Read more

impl Clone for Rotor2[src]

fn clone(&self) -> Rotor2[src]

Returns a copy of the value. Read more

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

Performs copy-assignment from source. Read more

impl Debug for Rotor2[src]

fn fmt(&self, f: &mut Formatter<'_>) -> Result[src]

Formats the value using the given formatter. Read more

impl Default for Rotor2[src]

fn default() -> Self[src]

Returns the “default value” for a type. Read more

impl<'de> Deserialize<'de> for Rotor2[src]

fn deserialize<D>(deserializer: D) -> Result<Self, D::Error> where
    D: Deserializer<'de>, 
[src]

Deserialize this value from the given Serde deserializer. Read more

impl Div<f32> for Rotor2[src]

type Output = Self

The resulting type after applying the / operator.

fn div(self, rhs: f32) -> Self[src]

Performs the / operation. Read more

impl DivAssign<f32> for Rotor2[src]

fn div_assign(&mut self, rhs: f32)[src]

Performs the /= operation. Read more

impl From<Rotor2> for Mat2[src]

fn from(rotor: Rotor2) -> Mat2[src]

Performs the conversion.

impl Lerp<f32> for Rotor2[src]

fn lerp(&self, end: Self, t: f32) -> Self[src]

Linearly interpolate between self and end by t between 0.0 and 1.0. i.e. (1.0 - t) * self + (t) * end.

For interpolating Rotors with linear interpolation, you almost certainly want to normalize the returned Rotor. For example,

let interpolated_rotor = rotor1.lerp(rotor2, 0.5).normalized();

For most cases (especially where performance is the primary concern, like in animation interpolation for games, this ‘normalized lerp’ or ‘nlerp’ is probably what you want to use. However, there are situations in which you really want the interpolation between two Rotors to be of constant angular velocity. In this case, check out Slerp.

impl Mul<Isometry2> for Rotor2[src]

type Output = Isometry2

The resulting type after applying the * operator.

fn mul(self, iso: Isometry2) -> Isometry2[src]

Performs the * operation. Read more

impl Mul<Rotor2> for Rotor2[src]

The composition of self with q, i.e. self * q gives the rotation as though you first perform q and then self.

type Output = Self

The resulting type after applying the * operator.

fn mul(self, rhs: Self) -> Self[src]

Performs the * operation. Read more

impl Mul<Rotor2> for Isometry2[src]

type Output = Isometry2

The resulting type after applying the * operator.

fn mul(self, rotor: Rotor2) -> Isometry2[src]

Performs the * operation. Read more

impl Mul<Rotor2> for Similarity2[src]

type Output = Similarity2

The resulting type after applying the * operator.

fn mul(self, rotor: Rotor2) -> Similarity2[src]

Performs the * operation. Read more

impl Mul<Similarity2> for Rotor2[src]

type Output = Similarity2

The resulting type after applying the * operator.

fn mul(self, iso: Similarity2) -> Similarity2[src]

Performs the * operation. Read more

impl Mul<Vec2> for Rotor2[src]

type Output = Vec2

The resulting type after applying the * operator.

fn mul(self, rhs: Vec2) -> Vec2[src]

Performs the * operation. Read more

impl Mul<f32> for Rotor2[src]

type Output = Self

The resulting type after applying the * operator.

fn mul(self, rhs: f32) -> Self[src]

Performs the * operation. Read more

impl MulAssign<f32> for Rotor2[src]

fn mul_assign(&mut self, rhs: f32)[src]

Performs the *= operation. Read more

impl PartialEq<Rotor2> for Rotor2[src]

fn eq(&self, other: &Rotor2) -> bool[src]

This method tests for self and other values to be equal, and is used by ==. Read more

fn ne(&self, other: &Rotor2) -> bool[src]

This method tests for !=.

impl Serialize for Rotor2[src]

fn serialize<T>(&self, serializer: T) -> Result<T::Ok, T::Error> where
    T: Serializer
[src]

Serialize this value into the given Serde serializer. Read more

impl Slerp<f32> for Rotor2[src]

fn slerp(&self, end: Self, t: f32) -> Self[src]

Spherical-linear interpolation between self and end based on t from 0.0 to 1.0.

self and end should both be normalized or something bad will happen!

The implementation for SIMD types also requires that the two things being interpolated between are not exactly aligned, or else the result is undefined.

Basically, interpolation that maintains a constant angular velocity from one orientation on a unit hypersphere to another. This is sorta the “high quality” interpolation for Rotors, and it can also be used to interpolate other things, one example being interpolation of 3d normal vectors.

Note that you should often normalize the result returned by this operation, when working with Rotors, etc!

impl Sub<Rotor2> for Rotor2[src]

type Output = Self

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self[src]

Performs the - operation. Read more

impl SubAssign<Rotor2> for Rotor2[src]

fn sub_assign(&mut self, rhs: Self)[src]

Performs the -= operation. Read more

impl Zeroable for Rotor2[src]

fn zeroed() -> Self[src]

impl Copy for Rotor2[src]

impl Pod for Rotor2[src]

impl StructuralPartialEq for Rotor2[src]

Auto Trait Implementations

impl RefUnwindSafe for Rotor2

impl Send for Rotor2

impl Sync for Rotor2

impl Unpin for Rotor2

impl UnwindSafe for Rotor2

Blanket Implementations

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

pub fn type_id(&self) -> TypeId[src]

Gets the TypeId of self. Read more

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

pub fn borrow(&self) -> &T[src]

Immutably borrows from an owned value. Read more

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

pub fn borrow_mut(&mut self) -> &mut T[src]

Mutably borrows from an owned value. Read more

impl<T> From<T> for T[src]

pub fn from(t: T) -> T[src]

Performs the conversion.

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

pub fn into(self) -> U[src]

Performs the conversion.

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

type Owned = T

The resulting type after obtaining ownership.

pub fn to_owned(&self) -> T[src]

Creates owned data from borrowed data, usually by cloning. Read more

pub fn clone_into(&self, target: &mut T)[src]

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

recently added

Uses borrowed data to replace owned data, usually by cloning. Read more

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

type Error = Infallible

The type returned in the event of a conversion error.

pub fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>[src]

Performs the conversion.

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

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

The type returned in the event of a conversion error.

pub fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>[src]

Performs the conversion.

impl<T> DeserializeOwned for T where
    T: for<'de> Deserialize<'de>, 
[src]