forked from M-Labs/nalgebra
38 lines
1.4 KiB
Rust
38 lines
1.4 KiB
Rust
use na::{zero, DMatrix, Normed};
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use nl::QZ;
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use num_complex::Complex;
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use std::cmp;
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use crate::proptest::*;
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use proptest::{prop_assert, proptest};
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proptest! {
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#[test]
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fn qz(n in PROPTEST_MATRIX_DIM) {
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let n = cmp::max(1, cmp::min(n, 10));
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let a = DMatrix::<f64>::new_random(n, n);
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let b = DMatrix::<f64>::new_random(n, n);
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let qz = QZ::new(a.clone(), b.clone());
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let (vsl,s,t,vsr) = qz.clone().unpack();
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let eigenvalues = qz.eigenvalues();
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let a_c = a.clone().map(|x| Complex::new(x, zero::<f64>()));
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prop_assert!(relative_eq!(&vsl * s * vsr.transpose(), a.clone(), epsilon = 1.0e-7));
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prop_assert!(relative_eq!(vsl * t * vsr.transpose(), b.clone(), epsilon = 1.0e-7));
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// spotty test that skips over the first eiegenvalue which in some cases is extremely large relative to the other ones
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// and fails the condition
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for i in 1..n {
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let b_c = b.clone().map(|x| eigenvalues[i]*Complex::new(x,zero::<f64>()));
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prop_assert!(relative_eq!((&a_c - &b_c).determinant().norm(), 0.0, epsilon = 1.0e-6));
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}
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}
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#[test]
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fn qz_static(a in matrix4(), b in matrix4()) {
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let (vsl,s,t,vsr) = QZ::new(a.clone(), b.clone()).unpack();
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prop_assert!(relative_eq!(&vsl * s * vsr.transpose(), a, epsilon = 1.0e-7));
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prop_assert!(relative_eq!(vsl * t * vsr.transpose(), b, epsilon = 1.0e-7))
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}
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}
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