Struct siege_math::matrix::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>

Methods

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<F: Debug> Debug for Mat2<F>

fn fmt(&self, __arg_0: &mut Formatter) -> Result

Formats the value using the given formatter.

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: Copy> Copy for Mat2<F>

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

fn eq(&self, __arg_0: &Mat2<F>) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, __arg_0: &Mat2<F>) -> bool

This method tests for !=.

impl<F: Eq> Eq for Mat2<F>

impl<F: Hash> Hash for Mat2<F>

fn hash<__HF: Hasher>(&self, __arg_0: &mut __HF)

Feeds this value into the given [Hasher].

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

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<F: FullFloat> Default for Mat2<F>

fn default() -> Mat2<F>

Returns the "default value" for a type.

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<'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<'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 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, '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<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.