Struct ultraviolet::rotor::Rotor2 [−][src]
Expand description
A Rotor in 2d space.
Please see the module level documentation for more information on rotors!
Fields
s: f32bv: Bivec2Implementations
impl Rotor2[src]
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]
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]
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]
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]
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]
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]
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 AddAssign<Rotor2> for Rotor2[src]
impl AddAssign<Rotor2> for Rotor2[src]fn add_assign(&mut self, rhs: Self)[src]
fn add_assign(&mut self, rhs: Self)[src]Performs the += operation. Read more
impl<'de> Deserialize<'de> for Rotor2[src]
impl<'de> Deserialize<'de> for Rotor2[src]fn deserialize<D>(deserializer: D) -> Result<Self, D::Error> where
D: Deserializer<'de>, [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 DivAssign<f32> for Rotor2[src]
impl DivAssign<f32> for Rotor2[src]fn div_assign(&mut self, rhs: f32)[src]
fn div_assign(&mut self, rhs: f32)[src]Performs the /= operation. Read more
impl Lerp<f32> for Rotor2[src]
impl Lerp<f32> for Rotor2[src]fn lerp(&self, end: Self, t: f32) -> Self[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<Rotor2> for Rotor2[src]
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.
impl Mul<Rotor2> for Similarity2[src]
impl Mul<Rotor2> for Similarity2[src]type Output = Similarity2
type Output = Similarity2The resulting type after applying the * operator.
fn mul(self, rotor: Rotor2) -> Similarity2[src]
fn mul(self, rotor: Rotor2) -> Similarity2[src]Performs the * operation. Read more
impl Mul<Similarity2> for Rotor2[src]
impl Mul<Similarity2> for Rotor2[src]type Output = Similarity2
type Output = Similarity2The resulting type after applying the * operator.
fn mul(self, iso: Similarity2) -> Similarity2[src]
fn mul(self, iso: Similarity2) -> Similarity2[src]Performs the * operation. Read more
impl MulAssign<f32> for Rotor2[src]
impl MulAssign<f32> for Rotor2[src]fn mul_assign(&mut self, rhs: f32)[src]
fn mul_assign(&mut self, rhs: f32)[src]Performs the *= operation. Read more
impl Slerp<f32> for Rotor2[src]
impl Slerp<f32> for Rotor2[src]fn slerp(&self, end: Self, t: f32) -> Self[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 SubAssign<Rotor2> for Rotor2[src]
impl SubAssign<Rotor2> for Rotor2[src]fn sub_assign(&mut self, rhs: Self)[src]
fn sub_assign(&mut self, rhs: Self)[src]Performs the -= operation. Read more
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> BorrowMut<T> for T where
T: ?Sized, [src]
impl<T> BorrowMut<T> for T where
T: ?Sized, [src]pub fn borrow_mut(&mut self) -> &mut T[src]
pub fn borrow_mut(&mut self) -> &mut T[src]Mutably borrows from an owned value. Read more
impl<T> ToOwned for T where
T: Clone, [src]
impl<T> ToOwned for T where
T: Clone, [src]type Owned = T
type Owned = TThe resulting type after obtaining ownership.
pub fn to_owned(&self) -> T[src]
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]
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> DeserializeOwned for T where
T: for<'de> Deserialize<'de>, [src]
T: for<'de> Deserialize<'de>,