Struct Mat2

#[repr(C)]
pub struct Mat2<F> {
    pub x: Vec2<F>,
    pub y: Vec2<F>,
}

A 2x2 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: Vec2<F>

y: Vec2<F>

Implementations

impl<F: FullFloat> Mat2<F>

pub fn new(r0c0: F, r0c1: F, r1c0: F, r1c1: F) -> Mat2<F>

Create a new 2x2 Matrix. Specify parameters in row-major order (as typically written on paper and in math texts)

pub fn from_cols(x: Vec2<F>, y: Vec2<F>) -> Mat2<F>

impl<F: FullFloat> Mat2<F>

pub fn zero() -> Mat2<F>

impl<F: FullFloat> Mat2<F>

pub fn identity() -> Mat2<F>

impl<F: FullFloat> Mat2<F>

pub fn transpose(&mut self)

impl<F: FullFloat> Mat2<F>

pub fn determinant(&self) -> F

pub fn inverse(&self) -> Option<Mat2<F>>

impl<F: FullFloat> Mat2<F>

pub fn is_diagonal(&self) -> bool

impl<F: FullFloat> Mat2<F>

pub fn is_symmetric(&self) -> bool

impl<F: FullFloat> Mat2<F>

pub fn is_skew_symmetric(&self) -> bool

impl<F: FullFloat> Mat2<F>

pub fn from_angle(theta: Angle<F>) -> Mat2<F>

Trait Implementations

impl<'a, 'b, F: FullFloat> Add<&'b Mat2<F>> for &'a Mat2<F>

type Output = Mat2<F>

The resulting type after applying the + operator.

fn add(self, rhs: &Mat2<F>) -> Mat2<F>

Performs the + operation.

impl<F: FullFloat> ApproxEq for Mat2<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 Mat2<F>

fn clone(&self) -> Mat2<F>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<F: Debug> Debug for Mat2<F>

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

Formats the value using the given formatter.

impl<F: FullFloat> Default for Mat2<F>

fn default() -> Mat2<F>

Returns the “default value” for a type.

impl<'de, F> Deserialize<'de> for Mat2<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: Hash> Hash for Mat2<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 Mat2<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 Mat2<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 Mat2<F>> for &'a Mat2<F>

type Output = Mat2<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat2<F>) -> Mat2<F>

Performs the * operation.

impl<'a, 'b, F: FullFloat> Mul<&'a Mat2<F>> for &'a Vec2<F>

type Output = Vec2<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat2<F>) -> Vec2<F>

Performs the * operation.

impl<'a, 'b, F: FullFloat> Mul<&'a Vec2<F>> for &'b Mat2<F>

type Output = Vec2<F>

The resulting type after applying the * operator.

fn mul(self, rhs: &Vec2<F>) -> Vec2<F>

Performs the * operation.

impl<'a, F: FullFloat> Mul<F> for &'a Mat2<F>

type Output = Mat2<F>

The resulting type after applying the * operator.

fn mul(self, rhs: F) -> Mat2<F>

Performs the * operation.

impl<F: PartialEq> PartialEq for Mat2<F>

fn eq(&self, other: &Mat2<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 Mat2<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 Mat2<F>

impl<F: Eq> Eq for Mat2<F>

impl<F> StructuralPartialEq for Mat2<F>