Struct Mat3

#[repr(C)]
pub struct Mat3<F> {
    pub x: Vec3<F>,
    pub y: Vec3<F>,
    pub z: Vec3<F>,
}

A 3x3 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: Vec3<F>

y: Vec3<F>

z: Vec3<F>

Implementations

impl<F: FullFloat> Mat3<F>

pub fn new( r0c0: F, r0c1: F, r0c2: F, r1c0: F, r1c1: F, r1c2: F, r2c0: F, r2c1: F, r2c2: F, ) -> Mat3<F>

Create a new 3x3 Matrix. Specify parameters in row-major order (as typically written on paper and in math texts)

pub fn from_cols(x: Vec3<F>, y: Vec3<F>, z: Vec3<F>) -> Mat3<F>

impl<F: FullFloat> Mat3<F>

pub fn zero() -> Mat3<F>

impl<F: FullFloat> Mat3<F>

pub fn identity() -> Mat3<F>

impl<F: FullFloat> Mat3<F>

pub fn transpose(&mut self)

impl<F: FullFloat> Mat3<F>

pub fn determinant(&self) -> F

pub fn inverse(&self) -> Option<Mat3<F>>

impl<F: FullFloat> Mat3<F>

pub fn is_diagonal(&self) -> bool

impl<F: FullFloat> Mat3<F>

pub fn is_symmetric(&self) -> bool

impl<F: FullFloat> Mat3<F>

pub fn is_skew_symmetric(&self) -> bool

impl<F: FullFloat> Mat3<F>

pub fn from_angle_x(theta: Angle<F>) -> Mat3<F>

pub fn from_angle_y(theta: Angle<F>) -> Mat3<F>

pub fn from_angle_z(theta: Angle<F>) -> Mat3<F>

impl<F: FullFloat> Mat3<F>

pub fn rotate_axis_angle(axis: Direction3<F>, theta: Angle<F>) -> Mat3<F>

impl<F: FullFloat> Mat3<F>

pub fn reflect_origin_plane(a: Direction3<F>) -> Mat3<F>

Reflection matrix

impl<F: FullFloat> Mat3<F>

pub fn involve_origin_plane(a: Direction3<F>) -> Mat3<F>

Involution matrix

impl<F: FullFloat> Mat3<F>

pub fn scale(a: &Vec3<F>) -> Mat3<F>

Scale matrix

impl<F: FullFloat> Mat3<F>

pub fn scale_in_direction(s: F, a: Direction3<F>) -> Mat3<F>

Scale along vector

impl<F: FullFloat> Mat3<F>

pub fn skew(angle: Angle<F>, a: Direction3<F>, proj: Direction3<F>) -> Mat3<F>

Skew by give given angle in the given direction a, based on the projected length along the proj direction. direction and proj MUST BE PERPENDICULAR or else results are undefined.

impl<F: FullFloat> Mat3<F>

pub fn as_mat4(&self) -> Mat4<F>

Trait Implementations

impl<'a, 'b, F: FullFloat> Add<&'b Mat3<F>> for &'a Mat3<F>

type Output = Mat3<F>

The resulting type after applying the + operator.

fn add(self, rhs: &Mat3<F>) -> Mat3<F>

Performs the + operation.

impl<F: FullFloat> ApproxEq for Mat3<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 Mat3<F>

fn clone(&self) -> Mat3<F>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<F: Debug> Debug for Mat3<F>

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

Formats the value using the given formatter.

impl<F: FullFloat> Default for Mat3<F>

fn default() -> Mat3<F>

Returns the “default value” for a type.

impl<'de, F> Deserialize<'de> for Mat3<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<F: FullFloat> From<Mat3<F>> for NQuat<F>

fn from(m: Mat3<F>) -> NQuat<F>

Converts to this type from the input type.

impl From<Mat3<f32>> for Mat3<f64>

fn from(m: Mat3<f32>) -> Mat3<f64>

Converts to this type from the input type.

impl From<Mat3<f64>> for Mat3<f32>

fn from(m: Mat3<f64>) -> Mat3<f32>

Converts to this type from the input type.

impl<F: FullFloat> From<NQuat<F>> for Mat3<F>

fn from(q: NQuat<F>) -> Mat3<F>

Converts to this type from the input type.

impl<F: Hash> Hash for Mat3<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 Mat3<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 Mat3<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 Mat3<F>> for &'a Mat3<F>

type Output = Mat3<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat3<F>) -> Mat3<F>

Performs the * operation.

impl<'a, 'b, F: FullFloat> Mul<&'a Mat3<F>> for &'a Vec3<F>

type Output = Vec3<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat3<F>) -> Vec3<F>

Performs the * operation.

impl<'a, 'b, F: FullFloat> Mul<&'a Vec3<F>> for &'b Mat3<F>

type Output = Vec3<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &Vec3<F>) -> Vec3<F>

Performs the * operation.

impl<'a, F: FullFloat> Mul<F> for &'a Mat3<F>

type Output = Mat3<F>

The resulting type after applying the * operator.

fn mul(self, rhs: F) -> Mat3<F>

Performs the * operation.

impl<F: PartialEq> PartialEq for Mat3<F>

fn eq(&self, other: &Mat3<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 Mat3<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 Mat3<F>

impl<F: Eq> Eq for Mat3<F>

impl<F> StructuralPartialEq for Mat3<F>