Struct Mat4 

pub struct Mat4 { /* private fields */ }

A 4x4 matrix that moves, turns and scales points in 3D. It maps a point p to M * (p, 1), so the last column holds the translation.

Implementations

impl Mat4

pub const IDENTITY: Mat4

The matrix that leaves every point where it is.

pub const fn from_rows(rows: [[f32; 4]; 4]) -> Mat4

The matrix with these rows.

pub const fn rows(&self) -> [[f32; 4]; 4]

The matrix’s rows.

pub const fn from_axes(x: Vec3, y: Vec3, z: Vec3, origin: Vec3) -> Mat4

The matrix whose columns map the x, y and z axes onto x, y and z and the origin onto origin.

pub const fn translation(offset: Vec3) -> Mat4

Moves every point by offset.

pub const fn scaling(factors: Vec3) -> Mat4

Scales each axis by its factor about the origin.

pub fn rotation_x(radians: f32) -> Mat4

Turns points about the x axis by radians. A positive angle tips the y axis, which points down, away from the viewer.

pub fn rotation_y(radians: f32) -> Mat4

Turns points about the y axis by radians. A positive angle swings the x axis away from the viewer.

pub fn rotation_z(radians: f32) -> Mat4

Turns points about the z axis by radians. A positive angle turns clockwise on screen.

pub fn then(&self, next: &Mat4) -> Mat4

This matrix followed by next: next * self.

pub fn transform_point(&self, point: Vec3) -> Vec3

Maps point, dividing by the resulting w.

pub fn transform_homogeneous(&self, point: Vec3) -> [f32; 4]

Maps point and returns all four coordinates of the result, before any division by w.

pub fn transform_vector(&self, vector: Vec3) -> Vec3

Maps a direction: the translation does not apply.

pub fn length_scale(&self) -> f32

How long the map makes a unit length, averaged over the three axes: the cube root of how much it scales volume.

pub fn transpose(&self) -> Mat4

The transpose.

pub fn inverse(&self) -> Option<Mat4>

The inverse, or None when the matrix flattens space.

Trait Implementations

impl Clone for Mat4

fn clone(&self) -> Mat4

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Copy for Mat4

impl Debug for Mat4

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

Formats the value using the given formatter.

impl Default for Mat4

fn default() -> Mat4

Returns the “default value” for a type.

impl PartialEq for Mat4

fn eq(&self, other: &Mat4) -> bool

Equality operator ==.

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=.

impl StructuralPartialEq for Mat4