Trait array_matrix::matrix::det::Det

pub trait Det: SquareMatrix {
    type Output;

    fn det(&self) -> Self::Output;
}

Required Associated Types

type Output

Required Methods

fn det(&self) -> Self::Output

Returns the determinant of the given matrix

|A|

Examples

let a = [
    [1.0, 0.0],
    [0.0, 1.0]
];
assert_eq!(a.det(), 1.0);

Implementations on Foreign Types

impl<F: Clone> Det for [[F; 1]; 1]where
    Self: SquareMatrix,

type Output = F

fn det(&self) -> Self::Output

impl<F: Clone + Mul<F, Output = F> + Sub<F, Output = F>> Det for [[F; 2]; 2]where
    Self: SquareMatrix,

type Output = F

fn det(&self) -> Self::Output

impl<F> Det for [[F; 3]; 3]where
    F: Clone + Mul<F, Output = F> + Add<F, Output = F>,
    Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>,

type Output = F

fn det(&self) -> Self::Output

impl<F> Det for [[F; 4]; 4]where
    F: Clone + Mul<F, Output = F> + Add<F, Output = F>,
    Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>,

type Output = F

fn det(&self) -> Self::Output

impl<F> Det for [[F; 5]; 5]where
    F: Clone + Mul<F, Output = F> + Add<F, Output = F>,
    Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>,

type Output = F

fn det(&self) -> Self::Output

impl<F> Det for [[F; 6]; 6]where
    F: Clone + Mul<F, Output = F> + Add<F, Output = F>,
    Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>,

type Output = F

fn det(&self) -> Self::Output

impl<F> Det for [[F; 7]; 7]where
    F: Clone + Mul<F, Output = F> + Add<F, Output = F>,
    Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>,

type Output = F

fn det(&self) -> Self::Output

impl<F> Det for [[F; 8]; 8]where
    F: Clone + Mul<F, Output = F> + Add<F, Output = F>,
    Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>,

type Output = F

fn det(&self) -> Self::Output

impl<F> Det for [[F; 9]; 9]where
    F: Clone + Mul<F, Output = F> + Add<F, Output = F>,
    Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>,

type Output = F

fn det(&self) -> Self::Output

impl<F> Det for [[F; 10]; 10]where
    F: Clone + Mul<F, Output = F> + Add<F, Output = F>,
    Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>,

type Output = F

fn det(&self) -> Self::Output

impl<F> Det for [[F; 11]; 11]where
    F: Clone + Mul<F, Output = F> + Add<F, Output = F>,
    Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>,

type Output = F

fn det(&self) -> Self::Output

impl<F> Det for [[F; 12]; 12]where
    F: Clone + Mul<F, Output = F> + Add<F, Output = F>,
    Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>,

type Output = F

fn det(&self) -> Self::Output

impl<F> Det for [[F; 13]; 13]where
    F: Clone + Mul<F, Output = F> + Add<F, Output = F>,
    Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>,

type Output = F

fn det(&self) -> Self::Output

impl<F> Det for [[F; 14]; 14]where
    F: Clone + Mul<F, Output = F> + Add<F, Output = F>,
    Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>,

type Output = F

fn det(&self) -> Self::Output

impl<F> Det for [[F; 15]; 15]where
    F: Clone + Mul<F, Output = F> + Add<F, Output = F>,
    Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>,

type Output = F

fn det(&self) -> Self::Output

impl<F> Det for [[F; 16]; 16]where
    F: Clone + Mul<F, Output = F> + Add<F, Output = F>,
    Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>,

type Output = F

fn det(&self) -> Self::Output

Implementors