Struct Mat4

#[repr(C)]
pub struct Mat4<F> {
    pub x: Vec4<F>,
    pub y: Vec4<F>,
    pub z: Vec4<F>,
    pub p: Vec4<F>,
}

A 4x4 matrix

This matrix is internally stored column-major (as that is better for GPU compatibility and possibly other reasons), but the API (e.g. the order of function parameters to the new() function) is row-major, since that is how people write matrices on paper.

Fields

x: Vec4<F>

y: Vec4<F>

z: Vec4<F>

p: Vec4<F>

Implementations

impl<F: FullFloat> Mat4<F>

pub fn new( r0c0: F, r0c1: F, r0c2: F, r0c3: F, r1c0: F, r1c1: F, r1c2: F, r1c3: F, r2c0: F, r2c1: F, r2c2: F, r2c3: F, r3c0: F, r3c1: F, r3c2: F, r3c3: F, ) -> Mat4<F>

Create a new 4x4 Matrix. Specify parameters in row-major order (as typically written on paper and in math texts)

pub fn from_cols(x: Vec4<F>, y: Vec4<F>, z: Vec4<F>, p: Vec4<F>) -> Mat4<F>

impl<F: FullFloat> Mat4<F>

pub fn from_components( x_dir: Direction3<F>, y_dir: Direction3<F>, z_dir: Direction3<F>, pos: Point3<F>, ) -> Mat4<F>

pub fn from_mat3(mat3: Mat3<F>, pos: Point3<F>) -> Mat4<F>

impl<F: FullFloat> Mat4<F>

pub fn zero() -> Mat4<F>

impl<F: FullFloat> Mat4<F>

pub fn identity() -> Mat4<F>

impl<F: FullFloat> Mat4<F>

pub fn transpose(&mut self)

impl<F: FullFloat> Mat4<F>

pub fn determinant(&self) -> F

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

impl<F: FullFloat> Mat4<F>

pub fn is_diagonal(&self) -> bool

impl<F: FullFloat> Mat4<F>

pub fn is_symmetric(&self) -> bool

impl<F: FullFloat> Mat4<F>

pub fn is_skew_symmetric(&self) -> bool

impl<F: FullFloat> Mat4<F>

pub fn get_translation(&self) -> Point3<F>

impl<F: FullFloat> Mat4<F>

pub fn set_translation(&mut self, p: Point3<F>)

impl<F: FullFloat> Mat4<F>

pub fn from_angle_x(theta: Angle<F>) -> Mat4<F>

pub fn from_angle_y(theta: Angle<F>) -> Mat4<F>

pub fn from_angle_z(theta: Angle<F>) -> Mat4<F>

impl<F: FullFloat> Mat4<F>

pub fn rotate_axis_angle(axis: Direction3<F>, theta: Angle<F>) -> Mat4<F>

impl<F: FullFloat> Mat4<F>

pub fn scale(a: &Vec4<F>) -> Mat4<F>

Scale matrix

impl<F: FullFloat> Mat4<F>

pub fn get_x_scale(&self) -> F

pub fn get_y_scale(&self) -> F

pub fn get_z_scale(&self) -> F

impl<F: FullFloat> Mat4<F>

pub fn as_mat3(&self) -> Mat3<F>

Trait Implementations

impl<'a, 'b, F: FullFloat> Add<&'b Mat4<F>> for &'a Mat4<F>

type Output = Mat4<F>

The resulting type after applying the + operator.

fn add(self, rhs: &Mat4<F>) -> Mat4<F>

Performs the + operation.

impl<F: FullFloat> ApproxEq for Mat4<F>

type Flt = F

fn approx_eq( &self, other: &Self, epsilon: <F as ApproxEq>::Flt, ulps: <<F as ApproxEq>::Flt as Ulps>::U, ) -> bool

This method tests for self and other values to be approximately equal using two methods: epsilon and ulps. If the values differ by less than the given epsilon, they will be considered equal. If the values differ by more than epsilon, but by less than the given ulps, they will also be considered equal. Otherwise they are unequal.

fn approx_ne( &self, other: &Self, epsilon: Self::Flt, ulps: <Self::Flt as Ulps>::U, ) -> bool

This method tests for self and other values to be not approximately equal using two methods: epsilon and ulps. If the values differ by less than the given epsilon, they will be considered equal. If the values differ by more than epsilon, but by less than the given ulps, they will also be considered equal. Otherwise they are unequal.

impl<F: Clone> Clone for Mat4<F>

fn clone(&self) -> Mat4<F>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<F: Debug> Debug for Mat4<F>

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

Formats the value using the given formatter.

impl<F: FullFloat> Default for Mat4<F>

fn default() -> Mat4<F>

Returns the “default value” for a type.

impl<'de, F> Deserialize<'de> for Mat4<F>

where F: Deserialize<'de>,

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl From<Mat4<f32>> for Mat4<f64>

fn from(m: Mat4<f32>) -> Mat4<f64>

Converts to this type from the input type.

impl From<Mat4<f64>> for Mat4<f32>

fn from(m: Mat4<f64>) -> Mat4<f32>

Converts to this type from the input type.

impl<F: Hash> Hash for Mat4<F>

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<F: FullFloat> Index<(usize, usize)> for Mat4<F>

type Output = F

The returned type after indexing.

fn index(&self, (row, col): (usize, usize)) -> &F

Performs the indexing (container[index]) operation.

impl<F: FullFloat> IndexMut<(usize, usize)> for Mat4<F>

fn index_mut(&mut self, (row, col): (usize, usize)) -> &mut F

Performs the mutable indexing (container[index]) operation.

impl<'a, 'b, F: FullFloat> Mul<&'b Mat4<F>> for &'a Mat4<F>

type Output = Mat4<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat4<F>) -> Mat4<F>

Performs the * operation.

impl<'a, 'b, F: FullFloat> Mul<&'a Mat4<F>> for &'a Vec4<F>

type Output = Vec4<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat4<F>) -> Vec4<F>

Performs the * operation.

impl<'a, 'b, F: FullFloat> Mul<&'a Vec4<F>> for &'b Mat4<F>

type Output = Vec4<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &Vec4<F>) -> Vec4<F>

Performs the * operation.

impl<'a, F: FullFloat> Mul<F> for &'a Mat4<F>

type Output = Mat4<F>

The resulting type after applying the * operator.

fn mul(self, rhs: F) -> Mat4<F>

Performs the * operation.

impl<F: PartialEq> PartialEq for Mat4<F>

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

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl<F> Serialize for Mat4<F>

where F: Serialize,

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl<F: Copy> Copy for Mat4<F>

impl<F: Eq> Eq for Mat4<F>

impl<F> StructuralPartialEq for Mat4<F>