Struct imath::matrix::Matrix33

#[repr(C)]
pub struct Matrix33<T> where
    T: Real,  {
    pub x: [T; 9],
}

3x3 Matrix type over Real

Fields

x: [T; 9]

Methods

impl<T> Matrix33<T> where
    T: Real, 

pub fn make_identity() -> Matrix33<T>

Return a new identity matrix

pub fn new(values: [T; 9]) -> Matrix33<T>

Return a new matrix initialized with the values passed

pub fn equal_with_abs_error(self, other: &Matrix33<T>, e: T) -> bool

Compare 2 matrices for equality with absolute tolerance e

pub fn equal_with_rel_error(self, other: &Matrix33<T>, e: T) -> bool

Compare 2 matrices for equality with relative tolerance e

pub fn translate(t: Vec2<T>) -> Matrix33<T> where
    T: Real, 

Returns a new matrix specifying a translation of t

pub fn scale(s: Vec2<T>) -> Matrix33<T> where
    T: Real, 

Returns a new matrix specifying a scale of s

pub fn rotate(r: T) -> Matrix33<T> where
    T: Real, 

Returns a new matrix specifying a rotation of r

pub fn transposed(self) -> Matrix33<T>

Return the transpose of this matrix

pub fn determinant(self) -> T

Return the determinant of this matrix

pub fn transformp(self, v: Vec2<T>) -> Vec2<T>

Transform the Vec2 v as a point

pub fn transformv(self, v: Vec2<T>) -> Vec2<T>

Transform the Vec2 v as a vector

pub fn mult_vec_matrix(self, v: Vec2<T>) -> Vec2<T>

Wrapper for Imath's confusingly named convention for matrix * point

pub fn mult_dir_matrix(self, v: Vec2<T>) -> Vec2<T>

Wrapper for Imath's confusingly named convention for matrix * vector

pub fn gj_inverse(self) -> Option<Matrix33<T>>

Gauss-Jordan matrix inversion

pub fn inverse(self) -> Option<Matrix33<T>>

Matrix inverse

Trait Implementations

impl<T: Eq> Eq for Matrix33<T> where
    T: Real, 

impl<T: Clone> Clone for Matrix33<T> where
    T: Real, 

fn clone(&self) -> Matrix33<T>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T: PartialEq> PartialEq<Matrix33<T>> for Matrix33<T> where
    T: Real, 

fn eq(&self, other: &Matrix33<T>) -> bool

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

fn ne(&self, other: &Matrix33<T>) -> bool

This method tests for !=.

impl<T: Copy> Copy for Matrix33<T> where
    T: Real, 

impl<T> Add<T> for Matrix33<T> where
    T: Real, 

type Output = Self

The resulting type after applying the + operator.

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

Performs the + operation.

impl<T> Sub<T> for Matrix33<T> where
    T: Real, 

type Output = Self

The resulting type after applying the - operator.

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

Performs the - operation.

impl<T> Mul<Matrix33<T>> for Matrix33<T> where
    T: Real, 

type Output = Self

The resulting type after applying the * operator.

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

Performs the * operation.

impl<T> Mul<T> for Matrix33<T> where
    T: Real, 

type Output = Self

The resulting type after applying the * operator.

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

Performs the * operation.

impl<T> Div<T> for Matrix33<T> where
    T: Real, 

type Output = Self

The resulting type after applying the / operator.

fn div(self, rhs: T) -> Self

Performs the / operation.

impl<T> Neg for Matrix33<T> where
    T: Real, 

type Output = Self

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl<T> Index<usize> for Matrix33<T> where
    T: Real, 

Index operator. Returns a slice of the underlying matrix to allow m[i][j] indexing

type Output = [T]

The returned type after indexing.

fn index(&self, index: usize) -> &[T]

Performs the indexing (container[index]) operation.

impl<T> IndexMut<usize> for Matrix33<T> where
    T: Real, 

Mutable Index operator. Returns a slice of the underlying matrix to allow m[i][j] indexing

fn index_mut(&mut self, index: usize) -> &mut [T]

Performs the mutable indexing (container[index]) operation.

impl<T: Debug> Debug for Matrix33<T> where
    T: Real, 

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

Formats the value using the given formatter.