Function is_diagonal

pub fn is_diagonal(m: &Matrix3<f64>) -> bool

Checks if the provided 3x3 matrix is diagonal.

A square matrix is considered diagonal if all its off-diagonal elements are zero. This function verifies this property for a given 3x3 matrix. It checks each off-diagonal element of the matrix and returns false if any of them is not approximately zero, considering a tolerance defined by f64::EPSILON.

Arguments

• m - A 3x3 matrix of f64 elements to be checked.

Returns

• bool - Returns true if the matrix is diagonal, false otherwise.

Example

use nyx_space::utils::is_diagonal;
use nyx_space::linalg::Matrix3;

let m = Matrix3::new(1.0, 0.0, 0.0,
                     0.0, 2.0, 0.0,
                     0.0, 0.0, 3.0);
assert_eq!(is_diagonal(&m), true);

Note

This function uses f64::EPSILON as the tolerance for checking if an element is approximately zero. This means that elements with absolute value less than f64::EPSILON are considered zero.