Struct Matrix2 

#[repr(C)]
pub struct Matrix2<T>
where
    T: Scalar,
{
    pub col: [Vector2<T>; 2],
}

A 2x2 matrix stored in column-major order.

Layout

[m₀₀ m₀₁]
[m₁₀ m₁₁]

where col[j][i] represents element at row i, column j.

Fields

col: [Vector2<T>; 2]

Column vectors of the matrix

Implementations

impl<T> Matrix2<T>

where T: Scalar,

pub fn new(m0: T, m1: T, m2: T, m3: T) -> Matrix2<T>

Creates a new 2x2 matrix from individual elements.

Elements are provided in column-major order:

[m0 m2]
[m1 m3]

pub fn identity() -> Matrix2<T>

Returns the 2x2 identity matrix.

[1 0]
[0 1]

pub fn determinant(&self) -> T

Computes the determinant of the matrix.

For a 2x2 matrix:

det(M) = m₀₀m₁₁ - m₀₁m₁₀

pub fn transpose(&self) -> Matrix2<T>

Returns the transpose of the matrix.

Mᵀ[i,j] = M[j,i]

pub fn inverse(&self) -> Matrix2<T>

Computes the inverse of the matrix.

For a 2x2 matrix:

M⁻¹ = (1/det(M)) * [m₁₁  -m₀₁]
                   [-m₁₀  m₀₀]

Note

Returns NaN or Inf if the matrix is singular (determinant = 0).

pub fn mul_matrix_matrix(l: &Matrix2<T>, r: &Matrix2<T>) -> Matrix2<T>

Multiplies two 2x2 matrices.

Matrix multiplication follows the rule:

C[i,j] = Σₖ A[i,k] * B[k,j]

pub fn mul_matrix_vector(l: &Matrix2<T>, r: &Vector2<T>) -> Vector2<T>

Multiplies a 2x2 matrix by a 2D vector.

Transforms the vector by the matrix:

v' = M * v

pub fn mul_vector_matrix(l: &Vector2<T>, r: &Matrix2<T>) -> Vector2<T>

Multiplies a 2D vector by a 2x2 matrix (row vector).

v' = vᵀ * M

pub fn add_matrix_matrix(l: &Matrix2<T>, r: &Matrix2<T>) -> Matrix2<T>

Adds two matrices element-wise.

C[i,j] = A[i,j] + B[i,j]

pub fn sub_matrix_matrix(l: &Matrix2<T>, r: &Matrix2<T>) -> Matrix2<T>

Subtracts two matrices element-wise.

C[i,j] = A[i,j] - B[i,j]

Trait Implementations

impl<T> Add for Matrix2<T>

where T: Scalar,

type Output = Matrix2<T>

The resulting type after applying the + operator.

fn add(self, rhs: Matrix2<T>) -> Matrix2<T>

Performs the + operation.

impl AttributeDataTypeGetter for Matrix2<f32>

fn get_attribute_type() -> VertexFormat

impl<T> Clone for Matrix2<T>

where T: Clone + Scalar,

fn clone(&self) -> Matrix2<T>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T> Debug for Matrix2<T>

where T: Debug + Scalar,

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

Formats the value using the given formatter.

impl<T> Mul<Matrix2<T>> for Vector2<T>

where T: Scalar,

type Output = Vector2<T>

The resulting type after applying the * operator.

fn mul(self, rhs: Matrix2<T>) -> Vector2<T>

Performs the * operation.

impl<T> Mul<Vector2<T>> for Matrix2<T>

where T: Scalar,

type Output = Vector2<T>

The resulting type after applying the * operator.

fn mul(self, rhs: Vector2<T>) -> Vector2<T>

Performs the * operation.

impl<T> Mul for Matrix2<T>

where T: Scalar,

type Output = Matrix2<T>

The resulting type after applying the * operator.

fn mul(self, rhs: Matrix2<T>) -> Matrix2<T>

Performs the * operation.

impl<T> Sub for Matrix2<T>

where T: Scalar,

type Output = Matrix2<T>

The resulting type after applying the - operator.

fn sub(self, rhs: Matrix2<T>) -> Matrix2<T>

Performs the - operation.

impl UniformDataTypeGetter for Matrix2<f32>

fn get_uniform_type() -> UniformDataType

impl<T> Copy for Matrix2<T>

where T: Copy + Scalar,