nalgebra/tests/linalg/udu.rs

73 lines
1.9 KiB
Rust

use na::Matrix3;
#[test]
#[rustfmt::skip]
fn udu_simple() {
let m = Matrix3::new(
2.0, -1.0, 0.0,
-1.0, 2.0, -1.0,
0.0, -1.0, 2.0);
let udu = m.udu();
// Rebuild
let p = udu.u * udu.d_matrix() * udu.u.transpose();
assert!(relative_eq!(m, p, epsilon = 3.0e-16));
}
#[test]
#[should_panic]
#[rustfmt::skip]
fn udu_non_sym_panic() {
let m = Matrix3::new(
2.0, -1.0, 0.0,
1.0, -2.0, 3.0,
-2.0, 1.0, 0.0);
let udu = m.udu();
// Rebuild
let p = udu.u * udu.d_matrix() * udu.u.transpose();
assert!(relative_eq!(m, p, epsilon = 3.0e-16));
}
#[cfg(feature = "arbitrary")]
mod quickcheck_tests {
#[allow(unused_imports)]
use crate::core::helper::{RandComplex, RandScalar};
macro_rules! gen_tests(
($module: ident, $scalar: ty) => {
mod $module {
use na::{DMatrix, Matrix4};
#[allow(unused_imports)]
use crate::core::helper::{RandScalar, RandComplex};
quickcheck! {
fn udu(n: usize) -> bool {
let n = std::cmp::max(1, std::cmp::min(n, 10));
let m = DMatrix::<$scalar>::new_random(n, n).map(|e| e.0).hermitian_part();
let udu = m.clone().udu();
let p = &udu.u * &udu.d_matrix() * &udu.u.transpose();
relative_eq!(m, p, epsilon = 1.0e-7)
}
fn udu_static(m: Matrix4<$scalar>) -> bool {
let m = m.map(|e| e.0).hermitian_part();
let udu = m.udu();
let p = udu.u * udu.d_matrix() * udu.u.transpose();
relative_eq!(m, p, epsilon = 1.0e-7)
}
}
}
}
);
gen_tests!(f64, RandScalar<f64>);
}