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

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

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.

`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]

`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]

`impl AddAssign<Rotor2> for Rotor2`[src]

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

`impl Clone for Rotor2`[src]

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

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

`impl Copy for Rotor2`[src]

`impl Debug for Rotor2`[src]

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

`impl Default for Rotor2`[src]

`fn default() -> Self`[src]

`impl Div<f32> for Rotor2`[src]

`type Output = Self`

The resulting type after applying the / operator.

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

`impl DivAssign<f32> for Rotor2`[src]

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

`impl From<Rotor2> for Mat2`[src]

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

`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 perfomrance 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.