nalgebra/nalgebra-lapack/tests/linalg/qz.rs

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use na::DMatrix;
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use nl::QZ;
use crate::proptest::*;
use proptest::{prop_assert, prop_compose, proptest};
prop_compose! {
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fn f64_dynamic_dim_squares()
(n in PROPTEST_MATRIX_DIM)
(a in matrix(PROPTEST_F64,n,n), b in matrix(PROPTEST_F64,n,n)) -> (DMatrix<f64>, DMatrix<f64>){
(a,b)
}}
proptest! {
#[test]
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fn qz((a,b) in f64_dynamic_dim_squares()) {
let qz = QZ::new(a.clone(), b.clone());
let (vsl,s,t,vsr) = qz.clone().unpack();
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prop_assert!(relative_eq!(&vsl * s * vsr.transpose(), a, epsilon = 1.0e-7));
prop_assert!(relative_eq!(vsl * t * vsr.transpose(), b, epsilon = 1.0e-7));
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}
#[test]
fn qz_static(a in matrix4(), b in matrix4()) {
let qz = QZ::new(a.clone(), b.clone());
let (vsl,s,t,vsr) = qz.unpack();
prop_assert!(relative_eq!(&vsl * s * vsr.transpose(), a, epsilon = 1.0e-7));
prop_assert!(relative_eq!(vsl * t * vsr.transpose(), b, epsilon = 1.0e-7));
}
}