Struct Matrix2 

pub struct Matrix2 {
    pub m00: f64,
    pub m01: f64,
    pub m10: f64,
    pub m11: f64,
}

A 2x2 matrix stored in row-major order.

Examples

use use_matrix::Matrix2;

let matrix = Matrix2::new(
    1.0, 2.0,
    3.0, 4.0,
);

assert_eq!(matrix.trace(), 5.0);
assert_eq!(matrix.determinant(), -2.0);

Fields

m00: f64

m01: f64

m10: f64

m11: f64

Implementations

impl Matrix2

pub const ZERO: Self

The zero matrix.

pub const IDENTITY: Self

The identity matrix.

Examples

use use_matrix::Matrix2;

let matrix = Matrix2::new(
    4.0, 7.0,
    2.0, 6.0,
);

assert_eq!(Matrix2::IDENTITY * matrix, matrix);
assert_eq!(matrix * Matrix2::IDENTITY, matrix);

pub const fn new(m00: f64, m01: f64, m10: f64, m11: f64) -> Self

Creates a matrix from row-major entries.

pub const fn from_rows(rows: [[f64; 2]; 2]) -> Self

Creates a matrix from row arrays.

pub const fn from_cols(cols: [[f64; 2]; 2]) -> Self

Creates a matrix from column arrays.

pub const fn transpose(self) -> Self

Returns the transpose.

pub const fn determinant(self) -> f64

Returns the determinant.

pub const fn trace(self) -> f64

Returns the trace.

pub fn inverse(self) -> Option<Self>

Returns the inverse when the determinant is finite and non-zero.

Returns None for singular matrices or matrices with non-finite determinants.

Examples

use use_matrix::Matrix2;

let matrix = Matrix2::new(
    4.0, 7.0,
    2.0, 6.0,
);

let inverse = matrix.inverse().expect("matrix should invert");

assert!((inverse.m00 - 0.6).abs() < 1.0e-12);
assert!((inverse.m11 - 0.4).abs() < 1.0e-12);

Trait Implementations

impl Add for Matrix2

type Output = Matrix2

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self::Output

Performs the + operation.

impl Clone for Matrix2

fn clone(&self) -> Matrix2

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Matrix2

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

Formats the value using the given formatter.

impl Div<f64> for Matrix2

type Output = Matrix2

The resulting type after applying the / operator.

fn div(self, rhs: f64) -> Self::Output

Performs the / operation.

impl Mul<Vector2> for Matrix2

type Output = Vector2

The resulting type after applying the * operator.

fn mul(self, rhs: Vector2) -> Self::Output

Performs the * operation.

impl Mul<f64> for Matrix2

type Output = Matrix2

The resulting type after applying the * operator.

fn mul(self, rhs: f64) -> Self::Output

Performs the * operation.

impl Mul for Matrix2

type Output = Matrix2

The resulting type after applying the * operator.

fn mul(self, rhs: Self) -> Self::Output

Performs the * operation.

impl Neg for Matrix2

type Output = Matrix2

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl PartialEq for Matrix2

fn eq(&self, other: &Matrix2) -> 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 Sub for Matrix2

type Output = Matrix2

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self::Output

Performs the - operation.

impl Copy for Matrix2

impl StructuralPartialEq for Matrix2