Struct Matrix2x2

pub struct Matrix2x2 {
    pub r1: Vector2,
    pub r2: Vector2,
}

Implements a matrix 2 x 2

Fields

r1: Vector2

r2: Vector2

Implementations

impl Matrix2x2

pub fn IDENTITY() -> Self

Identity Matrrix NxN, where all elements Uij that i = j are 1

// | 1 0 |
// | 0 1 |

pub fn det(&self) -> f32

Matrix determinant

//                | 4 -3 |
// let matrix =   | 0  2 |

// matrix.det() = 2

use mathf::matrix::{Matrix2x2};

let matrix = Matrix2x2::new_idx(4.0, -3.0, 0.0, 2.0);
assert_eq!(matrix.det(), 8f32);

pub fn vectorize(&self) -> Vec<Vec<f32>>

Transforms a MatrixNxN into a Vec<Vec> by row

//                | 4 -3 |`
// let matrix =   | 0  2 |`
// matrix.det() = 2

use mathf::matrix::{Matrix2x2};

let matrix = Matrix2x2::new_idx(4.0, -3.0, 0.0, 2.0);
assert_eq!(matrix.vectorize(), vec![
   vec![4.0, -3.0], vec![0.0, 2.0]    
]);

pub fn modulus(&self) -> f32

Same as determinant for Matrix 2x2

pub fn transpose(&self) -> Self

Transpose of Matrix NxN. Transpose switches rows and columns

pub fn inverse(&self, delta: f32) -> Result<Matrix2x2, Error>

Matrix inverse

//                | 4 7 |
// let matrix =   | 2 6 |
//
//                             |  6 -7 |
// let matrix_inverse =  1/10  | -2  4 |

use mathf::matrix::{Matrix2x2};

let matrix = Matrix2x2::new_idx(4.0, 7.0, 2.0, 6.0);
let matrix_inverse = Matrix2x2::new_idx(0.6, -0.7, -0.2, 0.4);
assert_eq!(matrix.inverse(0.001).unwrap(), matrix_inverse);

pub fn is_orthogonal(&self) -> bool

A matrix is orthogonal if and only if transpose(A) == inverse(A)

pub fn scale_matrix(a: f32) -> Self

// | a 0 |
// | 0 a |

pub fn new(r1: Vector2, r2: Vector2) -> Matrix2x2

Creates a new Matrix2x2 from 2 vector2 rows

pub fn new_idx(n1: f32, n2: f32, n3: f32, n4: f32) -> Matrix2x2

Creates a new Matrix2x2 from 4 indexed floats

pub fn scale_matrix_non_uniform(a: f32, b: f32) -> Self

pub fn rotation_2d(teta: f32) -> Self

2D rotation Matrix by angle teta (radians) For matrix 2x2:

// P′= | cosθ − sinθ | P
//     | sinθ + cosθ |

Trait Implementations

impl Add for &Matrix2x2

fn add(self, new: &Matrix2x2) -> Matrix2x2

Implements the &Matrix 2x2 ‘+’ trait

type Output = Matrix2x2

The resulting type after applying the + operator.

impl Add for Matrix2x2

fn add(self, new: Matrix2x2) -> Matrix2x2

Implements the Matrix 2x2 ‘+’ trait

type Output = Matrix2x2

The resulting type after applying the + operator.

impl Clone for Matrix2x2

fn clone(&self) -> Matrix2x2

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Matrix2x2

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

Formats the value using the given formatter.

impl Div<f32> for &Matrix2x2

fn div(self, value: f32) -> Matrix2x2

Implements the Matrix 2x2 ‘/’ trait for &Matrix2x2 / f32 so that (identity / value).det() == valueˆ2.

type Output = Matrix2x2

The resulting type after applying the / operator.

impl Div<f32> for Matrix2x2

fn div(self, value: f32) -> Matrix2x2

Implements the Matrix 2x2 ‘/’ trait for Matrix2x2 / f32 so that (identity / value).det() == valueˆ2.

type Output = Matrix2x2

The resulting type after applying the / operator.

impl Index<usize> for Matrix2x2

type Output = Vector2

The returned type after indexing.

fn index(&self, s: usize) -> &Vector2

Performs the indexing (container[index]) operation.

impl Mul<&Matrix2x2> for f32

fn mul(self, m: &Matrix2x2) -> Matrix2x2

Implements the &Matrix 2x2 ‘*’ trait for &Matrix2x2 * f32 so that (value * identity).det() == valueˆ2 and ßM == Mß˜.

type Output = Matrix2x2

The resulting type after applying the * operator.

impl Mul<&Point2> for &Matrix2x2

fn mul(self, vec: &Point2) -> Point2

Implements the transform matrix of a point 2 into another point 2. The order should be matrix * point because of 2x2 * 2x1 = 2x1

type Output = Point2

The resulting type after applying the * operator.

impl Mul<&Point2> for Matrix2x2

fn mul(self, vec: &Point2) -> Point2

Implements the transform matrix of a vector 2 into another vector 2. The order should be matrix * &point because of 2x2 * 2x1 = 2x1

type Output = Point2

The resulting type after applying the * operator.

impl Mul<&Vector2> for &Matrix2x2

fn mul(self, vec: &Vector2) -> Vector2

Implements the transform matrix of a vector 2 into another vector 2. The order should be matrix * vector because of 2x2 * 2x1 = 2x1

type Output = Vector2

The resulting type after applying the * operator.

impl Mul<&Vector2> for Matrix2x2

fn mul(self, vec: &Vector2) -> Vector2

Implements the transform matrix of a vector 2 into another vector 2. The order should be matrix * &vector because of 2x2 * 2x1 = 2x1

type Output = Vector2

The resulting type after applying the * operator.

impl Mul<Matrix2x2> for f32

fn mul(self, m: Matrix2x2) -> Matrix2x2

Implements the Matrix 2x2 ‘*’ trait for Matrix2x2 * f32 so that (value * identity).det() == valueˆ2 and ßM == Mß˜.

type Output = Matrix2x2

The resulting type after applying the * operator.

impl Mul<Vector2> for Matrix2x2

fn mul(self, vec: Vector2) -> Vector2

Implements the transform matrix of a vector 2 into another vector 2. The order should be matrix * vector because of 2x2 * 2x1 = 2x1

type Output = Vector2

The resulting type after applying the * operator.

impl Mul<f32> for &Matrix2x2

fn mul(self, value: f32) -> Matrix2x2

Implements the &Matrix 2x2 ‘*’ trait for &Matrix2x2 * f32 so that (identity * value).det() == valueˆ2.

type Output = Matrix2x2

The resulting type after applying the * operator.

impl Mul<f32> for Matrix2x2

fn mul(self, value: f32) -> Matrix2x2

Implements the Matrix 2x2 ‘*’ trait for Matrix2x2 * f32 so that (identity * value).det() == valueˆ2.

type Output = Matrix2x2

The resulting type after applying the * operator.

impl Mul for Matrix2x2

fn mul(self, m: Matrix2x2) -> Matrix2x2

Implements the Matrix 2x2 ‘*’ trait for Matrix2x2 * Matrix2x2

type Output = Matrix2x2

The resulting type after applying the * operator.

impl PartialEq for Matrix2x2

fn eq(&self, other: &Matrix2x2) -> 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 StructuralPartialEq for Matrix2x2