Struct M22

pub struct M22<T>(/* private fields */);

A static Matrix of 2x2 shape

Implementations

impl<T> M22<T>

pub const fn new(data_input: [[T; 2]; 2]) -> Self

pub const fn new_from(a: T, b: T, c: T, d: T) -> Self

pub const fn rows(&self) -> usize

pub const fn cols(&self) -> usize

impl<T: Num + Copy> M22<T>

pub fn identity() -> M22<T>

contruct identity matrix

pub fn zeros() -> M22<T>

construct the matrix with all zeros

pub fn as_vec(&self) -> [T; 4]

transform the matrix to a flatten vector

pub fn new_from_vecs(cols: V2<V2<T>>) -> Self

construct the matrix from columns-vectors

pub fn get_diagonal(&self) -> V2<T>

get the diagonal of the matrix

impl<T: Num + Copy> M22<T>

pub fn get_rows(self) -> V2<V2<T>>

get the rows of the matrix as a vectors

pub fn get_cols(self) -> V2<V2<T>>

get the columns of the matrix as a vectors

pub fn for_each(&self, f: impl Fn(T) -> T) -> Self

Applies f of each element in the M22

impl<T: Float + Sum> M22<T>

pub fn real_eigenvals(&self) -> Option<V2<T>>

calculate the real eigen values for the matrix

Trait Implementations

impl<T: Num + Copy> Add for M22<T>

type Output = M22<T>

The resulting type after applying the + operator.

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

Performs the + operation.

impl<T: Num + Copy> AddAssign for M22<T>

fn add_assign(&mut self, other: Self)

Performs the += operation.

impl<T: Clone> Clone for M22<T>

fn clone(&self) -> M22<T>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T: Debug> Debug for M22<T>

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

Formats the value using the given formatter.

impl<T> Deref for M22<T>

type Target = [[T; 2]; 2]

The resulting type after dereferencing.

fn deref(&self) -> &Self::Target

Dereferences the value.

impl<T> DerefMut for M22<T>

fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

impl<T: Num + Display> Display for M22<T>

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

Formats the value using the given formatter.

impl<T: Num + Copy> Div<T> for M22<T>

type Output = M22<T>

The resulting type after applying the / operator.

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

Performs the / operation.

impl<T> From<[[T; 2]; 2]> for M22<T>

fn from(data: [[T; 2]; 2]) -> M22<T>

Converts to this type from the input type.

impl<T> Index<(usize, usize)> for M22<T>

type Output = T

The returned type after indexing.

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

Performs the indexing (container[index]) operation.

impl<T> IndexMut<(usize, usize)> for M22<T>

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

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

impl<T: Float + Sum> LinearAlgebra<T> for M22<T>

fn qr(&self) -> Option<(Self, Self)>

Calculate de QR factorization of the M22 via gram-schmidt orthogonalization process

fn rows(&self) -> usize

get the rows of the matrix

fn cols(&self) -> usize

get the columns of the matrix

fn det(&self) -> T

compute the determinant of the matrix

fn transpose(&self) -> M22<T>

transpose dimentions of the matrix

fn trace(&self) -> T

get the trace of the matrix

fn norm2(&self) -> T

compute the euclidean norm of the matrix

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

compute the inverse of the matrix

fn shape(&self) -> (usize, usize)

get the overal shape of the matrix

impl<T: Num + Copy> Mul<M22<T>> for V2<T>

type Output = V2<T>

The resulting type after applying the * operator.

fn mul(self, rhs: M22<T>) -> V2<T>

Performs the * operation.

impl Mul<M22<f32>> for f32

type Output = M22<f32>

The resulting type after applying the * operator.

fn mul(self, rhs: M22<f32>) -> M22<f32>

Performs the * operation.

impl<T: Num + Copy> Mul<T> for M22<T>

type Output = M22<T>

The resulting type after applying the * operator.

fn mul(self, rhs: T) -> M22<T>

Performs the * operation.

impl<T: Num + Copy> Mul<V2<T>> for M22<T>

type Output = V2<T>

The resulting type after applying the * operator.

fn mul(self, rhs: V2<T>) -> V2<T>

Performs the * operation.

impl<T: Num + Copy> Mul for M22<T>

type Output = M22<T>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<T: Num + Copy + Signed> Neg for M22<T>

type Output = M22<T>

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl<T: Num + Copy> One for M22<T>

fn one() -> M22<T>

Create an identity matrix

fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

fn is_one(&self) -> bool

where Self: PartialEq,

Returns true if self is equal to the multiplicative identity.

impl<T: PartialEq> PartialEq for M22<T>

fn eq(&self, other: &M22<T>) -> 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<T: Num + Copy> Sub for M22<T>

type Output = M22<T>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<T: Num + Copy> SubAssign for M22<T>

fn sub_assign(&mut self, other: Self)

Performs the -= operation.

impl<T: Num + Copy> Zero for M22<T>

fn zero() -> M22<T>

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.

impl<T: Copy> Copy for M22<T>

impl<T> StructuralPartialEq for M22<T>