Struct lowdim::Matrix2d

pub struct Matrix2d<S: Integer> { /* fields omitted */ }

A two-dimensional discrete matrix.

Implementations

impl<S: Integer> Matrix2d<S>

pub fn new(a: S, b: S, c: S, d: S) -> Matrix2d<S>

Creates a new 2d matrix from its values by rows.

pub fn with<F>(f: F) -> Matrix2d<S> where
    F: Fn(usize, usize) -> S, 

Creates a new 2d matrix from a function.

Example

let m = Matrix2d::with(|i, j| i64::try_from(3 * i + j).unwrap());
assert_eq!(Matrix2d::new(0, 1, 3, 4), m);

pub fn row_vec(&self, i: usize) -> Vec2d<S>

Returns a row vector of a matrix.

pub fn col_vec(&self, j: usize) -> Vec2d<S>

Returns a column vector of a matrix.

pub fn diag_vec(&self) -> Vec2d<S>

Returns the diagonal vector of a matrix.

pub fn det(&self) -> S where
    S: Copy + Sub<Output = S> + Mul<Output = S>, 

Returns the determinant of a matrix.

pub fn rotate_left_90() -> Matrix2d<S> where
    S: From<i32>, 

Creates a matrix for a left rotation by a right angle.

pub fn rotate_180() -> Matrix2d<S> where
    S: From<i32>, 

Creates a matrix for a rotation by 180 degrees.

pub fn rotate_right_90() -> Matrix2d<S> where
    S: From<i32>, 

Creates a matrix for a right rotation by a right angle.

pub fn reflect_x_axis() -> Matrix2d<S> where
    S: From<i32>, 

Creates a matrix for a reflection on the x-axis.

pub fn reflect_y_axis() -> Matrix2d<S> where
    S: From<i32>, 

Creates a matrix for a reflection on the y-axis.

pub fn reflect_diagonal() -> Matrix2d<S> where
    S: From<i32>, 

Creates a matrix for a reflection on the x=y diagonal.

pub fn reflect_anti_diagonal() -> Matrix2d<S> where
    S: From<i32>, 

Creates a matrix for a reflection on the -x=y anti-diagonal.

Trait Implementations

impl<S: Clone + Integer> Clone for Matrix2d<S>

fn clone(&self) -> Matrix2d<S>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<S: Debug + Integer> Debug for Matrix2d<S>

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

Formats the value using the given formatter.

impl<S: Default + Integer> Default for Matrix2d<S>

fn default() -> Matrix2d<S>

Returns the “default value” for a type.

impl<S: Integer> From<Sym2d> for Matrix2d<S>

fn from(s: Sym2d) -> Self

Performs the conversion.

impl<S: Hash + Integer> Hash for Matrix2d<S>

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H) where
    H: Hasher, 

Feeds a slice of this type into the given Hasher.

impl<S: Integer> Matrix<S> for Matrix2d<S>

type V = Vec2d<S>

The corresponding vector type.

fn with<F>(f: F) -> Self where
    F: Fn(usize, usize) -> S, 

Creates a new matrix from a function.

fn zero() -> Self

Creates a zero matrix.

fn unit() -> Self

Creates a unit matrix.

impl<'a, S: Integer> Mul<&'a Matrix2d<S>> for Matrix2d<S> where
    S: Copy + Add<Output = S> + Mul<Output = S>, 

type Output = Matrix2d<S>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix2d<S>) -> Matrix2d<S>

Performs the * operation.

impl<'a, S: Integer> Mul<&'a Matrix2d<S>> for &'a Matrix2d<S> where
    S: Copy + Add<Output = S> + Mul<Output = S>, 

type Output = Matrix2d<S>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix2d<S>) -> Matrix2d<S>

Performs the * operation.

impl<'a, S: Integer> Mul<&'a Vec2d<S>> for Matrix2d<S> where
    S: Copy + Add<Output = S> + Mul<Output = S>, 

type Output = Vec2d<S>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vec2d<S>) -> Vec2d<S>

Performs the * operation.

impl<'a, S: Integer> Mul<&'a Vec2d<S>> for &'a Matrix2d<S> where
    S: Copy + Add<Output = S> + Mul<Output = S>, 

type Output = Vec2d<S>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vec2d<S>) -> Vec2d<S>

Performs the * operation.

impl<S: Integer> Mul<Matrix2d<S>> for Matrix2d<S> where
    S: Copy + Add<Output = S> + Mul<Output = S>, 

type Output = Matrix2d<S>

The resulting type after applying the * operator.

fn mul(self, other: Matrix2d<S>) -> Matrix2d<S>

Performs the * operation.

impl<'a, S: Integer> Mul<Matrix2d<S>> for &'a Matrix2d<S> where
    S: Copy + Add<Output = S> + Mul<Output = S>, 

type Output = Matrix2d<S>

The resulting type after applying the * operator.

fn mul(self, other: Matrix2d<S>) -> Matrix2d<S>

Performs the * operation.

impl<S: Integer> Mul<Vec2d<S>> for Matrix2d<S> where
    S: Copy + Add<Output = S> + Mul<Output = S>, 

type Output = Vec2d<S>

The resulting type after applying the * operator.

fn mul(self, other: Vec2d<S>) -> Vec2d<S>

Performs the * operation.

impl<'a, S: Integer> Mul<Vec2d<S>> for &'a Matrix2d<S> where
    S: Copy + Add<Output = S> + Mul<Output = S>, 

type Output = Vec2d<S>

The resulting type after applying the * operator.

fn mul(self, other: Vec2d<S>) -> Vec2d<S>

Performs the * operation.

impl<S: PartialEq + Integer> PartialEq<Matrix2d<S>> for Matrix2d<S>

fn eq(&self, other: &Matrix2d<S>) -> bool

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

fn ne(&self, other: &Matrix2d<S>) -> bool

This method tests for !=.

impl<S: Copy + Integer> Copy for Matrix2d<S>

impl<S: Eq + Integer> Eq for Matrix2d<S>

impl<'a, S: Integer> MatrixOps<S, &'a Matrix2d<S>, Matrix2d<S>> for Matrix2d<S>

impl<'a, S: Integer> MatrixOps<S, &'a Matrix2d<S>, Matrix2d<S>> for &'a Matrix2d<S>

impl<'a, S: Integer> MatrixOps<S, &'a Vec2d<S>, Vec2d<S>> for Matrix2d<S>

impl<'a, S: Integer> MatrixOps<S, &'a Vec2d<S>, Vec2d<S>> for &'a Matrix2d<S>

impl<S: Integer> MatrixOps<S, Matrix2d<S>, Matrix2d<S>> for Matrix2d<S>

impl<'a, S: Integer> MatrixOps<S, Matrix2d<S>, Matrix2d<S>> for &'a Matrix2d<S>

impl<S: Integer> MatrixOps<S, Vec2d<S>, Vec2d<S>> for Matrix2d<S>

impl<'a, S: Integer> MatrixOps<S, Vec2d<S>, Vec2d<S>> for &'a Matrix2d<S>

impl<S: Integer> StructuralEq for Matrix2d<S>

impl<S: Integer> StructuralPartialEq for Matrix2d<S>