Struct static_math::matrix2x2::M22

pub struct M22<T>(_);

A static Matrix of 2x2 shape

Implementations

impl<T> M22<T>

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

pub const fn create(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

Methods from Deref<Target = [[T; 2]; 2]>

pub fn as_slice(&self) -> &[T]

🔬 This is a nightly-only experimental API. (array_methods)

Returns a slice containing the entire array. Equivalent to &s[..].

pub fn as_mut_slice(&mut self) -> &mut [T]

🔬 This is a nightly-only experimental API. (array_methods)

Returns a mutable slice containing the entire array. Equivalent to &mut s[..].

pub fn each_ref(&self) -> [&T; N]

🔬 This is a nightly-only experimental API. (array_methods)

Borrows each element and returns an array of references with the same size as self.

Example

#![feature(array_methods)]

let floats = [3.1, 2.7, -1.0];
let float_refs: [&f64; 3] = floats.each_ref();
assert_eq!(float_refs, [&3.1, &2.7, &-1.0]);

This method is particularly useful if combined with other methods, like map. This way, you can avoid moving the original array if its elements are not Copy.

#![feature(array_methods, array_map)]

let strings = ["Ferris".to_string(), "♥".to_string(), "Rust".to_string()];
let is_ascii = strings.each_ref().map(|s| s.is_ascii());
assert_eq!(is_ascii, [true, false, true]);

// We can still access the original array: it has not been moved.
assert_eq!(strings.len(), 3);

pub fn each_mut(&mut self) -> [&mut T; N]

🔬 This is a nightly-only experimental API. (array_methods)

Borrows each element mutably and returns an array of mutable references with the same size as self.

Example

#![feature(array_methods)]

let mut floats = [3.1, 2.7, -1.0];
let float_refs: [&mut f64; 3] = floats.each_mut();
*float_refs[0] = 0.0;
assert_eq!(float_refs, [&mut 0.0, &mut 2.7, &mut -1.0]);
assert_eq!(floats, [0.0, 2.7, -1.0]);

Trait Implementations

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

type Output = Self

The resulting type after applying the + operator.

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

Performs the + operation.

impl<T: Num + Copy> AddAssign<M22<T>> 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 copy of the value.

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

Performs copy-assignment from source.

impl<T: Copy> Copy for M22<T>

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

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

Performs the conversion.

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

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

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

get the overal shape of the matrix

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

type Output = Self

The resulting type after applying the * operator.

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

Performs the * operation.

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<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> One for M22<T>

fn one() -> M22<T>

Create an identity matrix

pub fn set_one(&mut self)

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

pub fn is_one(&self) -> bool where
    Self: PartialEq<Self>, 

Returns true if self is equal to the multiplicative identity.

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

fn eq(&self, other: &M22<T>) -> bool

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

fn ne(&self, other: &M22<T>) -> bool

This method tests for !=.

impl<T> StructuralPartialEq for M22<T>

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

type Output = Self

The resulting type after applying the - operator.

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

Performs the - operation.

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

pub fn set_zero(&mut self)

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