Struct ultraviolet::vec::Vec3[−][src]

#[repr(C)]pub struct Vec3 {
    pub x: f32,
    pub y: f32,
    pub z: f32,
}

A set of three coordinates which may be interpreted as a point or vector in 3d space, or as a homogeneous 2d vector or point.

Generally this distinction between a point and vector is more of a pain than it is worth to distinguish on a type level, however when converting to and from homogeneous coordinates it is quite important.

Fields

x: f32y: f32z: f32

Implementations

`impl Vec3`[src]

`pub const fn new(x: f32, y: f32, z: f32) -> Self`[src]

`pub const fn broadcast(val: f32) -> Self`[src]

`pub fn unit_x() -> Self`[src]

`pub fn unit_y() -> Self`[src]

`pub fn unit_z() -> Self`[src]

`pub fn into_homogeneous_point(self) -> Vec4`[src]

Create a homogeneous 3d point from this vector interpreted as a point, meaning the homogeneous component will start with a value of 1.0.

`pub fn into_homogeneous_vector(self) -> Vec4`[src]

Create a homogeneous 3d vector from this vector, meaning the homogeneous component will always have a value of 0.0.

`pub fn from_homogeneous_point(v: Vec4) -> Self`[src]

Create a 3d point from a homogeneous 3d point, performing division by the homogeneous component. This should not be used for homogeneous 3d vectors, which will have 0 as their homogeneous component.

`pub fn from_homogeneous_vector(v: Vec4) -> Self`[src]

Create a 3d vector from homogeneous 2d vector, which simply discards the homogeneous component.

`pub fn dot(&self, other: Vec3) -> f32`[src]

`pub fn wedge(&self, other: Vec3) -> Bivec3`[src]

The wedge (aka exterior) product of two vectors.

This operation results in a bivector, which represents the plane parallel to the two vectors, and which has a ‘oriented area’ equal to the parallelogram created by extending the two vectors, oriented such that the positive direction is the one which would move self closer to other.

`pub fn geom(&self, other: Vec3) -> Rotor3`[src]

The geometric product of this and another vector, which is defined as the sum of the dot product and the wedge product.

This operation results in a ‘rotor’, named as such as it may define a rotation. The rotor which results from the geometric product will rotate in the plane parallel to the two vectors, by twice the angle between them and in the opposite direction (i.e. it will rotate in the direction that would bring other towards self, and rotate in that direction by twice the angle between them).

`pub fn rotate_by(&mut self, rotor: Rotor3)`[src]

`pub fn rotated_by(self, rotor: Rotor3) -> Self`[src]

`pub fn cross(&self, other: Vec3) -> Self`[src]

`pub fn reflect(&mut self, normal: Vec3)`[src]

`pub fn reflected(&self, normal: Vec3) -> Self`[src]

`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 normalize_homogeneous_point(&mut self)`[src]

Normalize self in-place by interpreting it as a homogeneous point, i.e. scaling the vector to ensure the homogeneous component has length 1.

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

Normalize self by interpreting it as a homogeneous point, i.e. scaling the vector to ensure the homogeneous component has length 1.

`pub fn truncated(&self) -> Vec2`[src]

Convert self into a Vec2 by simply removing its z component.

`pub fn mul_add(&self, mul: Vec3, add: Vec3) -> Self`[src]

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

`pub fn clamp(&mut self, min: Self, max: Self)`[src]

`pub fn clamped(self, min: Self, max: Self) -> Self`[src]

`pub fn map<F>(&self, f: F) -> Self where F: Fn(f32) -> f32,` [src]

`pub fn apply<F>(&mut self, f: F) where F: Fn(f32) -> f32,` [src]

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

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

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

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

`pub fn zero() -> Self`[src]

`pub fn one() -> Self`[src]

`pub const fn xy(&self) -> Vec2`[src]

`pub fn xyzw(&self) -> Vec4`[src]

`pub fn layout() -> Layout`[src]

`pub fn as_array(&self) -> &[f32; 3]`[src]

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

`pub fn as_byte_slice(&self) -> &[u8]`[src]

`pub fn as_mut_slice(&mut self) -> &mut [f32]`[src]

`pub fn as_mut_byte_slice(&mut self) -> &mut [u8]`[src]

`pub const fn as_ptr(&self) -> *const f32`[src]

Returns a constant unsafe pointer to the underlying data in the underlying type. This function is safe because all types here are repr(C) and can be represented as their underlying type.

Safety

It is up to the caller to correctly use this pointer and its bounds.

`pub fn as_mut_ptr(&mut self) -> *mut f32`[src]

Returns a mutable unsafe pointer to the underlying data in the underlying type. This function is safe because all types here are repr(C) and can be represented as their underlying type.

Safety

It is up to the caller to correctly use this pointer and its bounds.

`impl Vec3`[src]

`pub fn refract(&mut self, normal: Self, eta: f32)`[src]

`pub fn refracted(&self, normal: Self, eta: f32) -> Self`[src]

Trait Implementations

`impl Add<Vec3> for Vec3`[src]

`type Output = Self`

The resulting type after applying the + operator.

`fn add(self, rhs: Vec3) -> Self`[src]

`impl AddAssign<Vec3> for Vec3`[src]

`fn add_assign(&mut self, rhs: Vec3)`[src]

`impl Clone for Vec3`[src]

`fn clone(&self) -> Vec3`[src]

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

`impl Copy for Vec3`[src]

`impl Debug for Vec3`[src]

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

`impl Default for Vec3`[src]

`fn default() -> Vec3`[src]

`impl Div<Vec3> for Vec3`[src]

`type Output = Self`

The resulting type after applying the / operator.

`fn div(self, rhs: Vec3) -> Self`[src]

`impl Div<f32> for Vec3`[src]

`type Output = Vec3`

The resulting type after applying the / operator.

`fn div(self, rhs: f32) -> Vec3`[src]

`impl DivAssign<Vec3> for Vec3`[src]

`fn div_assign(&mut self, rhs: Vec3)`[src]

`impl DivAssign<f32> for Vec3`[src]

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

`impl From<&'_ [f32; 3]> for Vec3`[src]

`fn from(comps: &[f32; 3]) -> Self`[src]

`impl From<&'_ (f32, f32, f32)> for Vec3`[src]

`fn from(comps: &(f32, f32, f32)) -> Self`[src]

`impl From<&'_ mut [f32; 3]> for Vec3`[src]

`fn from(comps: &mut [f32; 3]) -> Self`[src]

`impl From<[f32; 3]> for Vec3`[src]

`fn from(comps: [f32; 3]) -> Self`[src]

`impl From<(f32, f32, f32)> for Vec3`[src]

`fn from(comps: (f32, f32, f32)) -> Self`[src]

`impl From<Vec2> for Vec3`[src]

`fn from(vec: Vec2) -> Self`[src]

`impl From<Vec3> for Vec2`[src]

`fn from(vec: Vec3) -> Self`[src]

`impl From<Vec3> for Vec4`[src]

`fn from(vec: Vec3) -> Self`[src]

`impl From<Vec4> for Vec3`[src]

`fn from(vec: Vec4) -> Self`[src]

`impl Index<usize> for Vec3`[src]

`type Output = f32`

The returned type after indexing.

`fn index(&self, index: usize) -> &Self::Output`[src]

`impl IndexMut<usize> for Vec3`[src]

`fn index_mut(&mut self, index: usize) -> &mut Self::Output`[src]

`impl Into<[f32; 3]> for Vec3`[src]

`fn into(self) -> [f32; 3]`[src]

`impl Lerp<f32> for Vec3`[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.