forked from M-Labs/nalgebra
71 lines
2.3 KiB
Rust
71 lines
2.3 KiB
Rust
use na::dimension::Const;
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use na::{DMatrix, OMatrix};
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use nl::GE;
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use num_complex::Complex;
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use simba::scalar::ComplexField;
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use crate::proptest::*;
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use proptest::{prop_assert, prop_compose, proptest};
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prop_compose! {
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fn f64_squares() (n in PROPTEST_MATRIX_DIM) (a in matrix(PROPTEST_F64,n,n), b in matrix(PROPTEST_F64,n,n)) -> (DMatrix<f64>, DMatrix<f64>){
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(a,b)
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}}
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proptest! {
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#[test]
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fn ge((a,b) in f64_squares()){
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let a_c = a.clone().map(|x| Complex::new(x, 0.0));
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let b_c = b.clone().map(|x| Complex::new(x, 0.0));
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let n = a.shape_generic().0;
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let ge = GE::new(a.clone(), b.clone());
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let (vsl,vsr) = ge.clone().eigenvectors();
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for (i,(alpha,beta)) in ge.raw_eigenvalues().iter().enumerate() {
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let l_a = a_c.clone() * Complex::new(*beta, 0.0);
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let l_b = b_c.clone() * *alpha;
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prop_assert!(
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relative_eq!(
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((&l_a - &l_b)*vsr.column(i)).map(|x| x.modulus()),
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OMatrix::zeros_generic(n, Const::<1>),
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epsilon = 1.0e-5));
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prop_assert!(
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relative_eq!(
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(vsl.column(i).adjoint()*(&l_a - &l_b)).map(|x| x.modulus()),
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OMatrix::zeros_generic(Const::<1>, n),
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epsilon = 1.0e-5))
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};
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}
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#[test]
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fn ge_static(a in matrix4(), b in matrix4()) {
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let ge = GE::new(a.clone(), b.clone());
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let a_c =a.clone().map(|x| Complex::new(x, 0.0));
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let b_c = b.clone().map(|x| Complex::new(x, 0.0));
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let (vsl,vsr) = ge.eigenvectors();
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let eigenvalues = ge.raw_eigenvalues();
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for (i,(alpha,beta)) in eigenvalues.iter().enumerate() {
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let l_a = a_c.clone() * Complex::new(*beta, 0.0);
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let l_b = b_c.clone() * *alpha;
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prop_assert!(
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relative_eq!(
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((&l_a - &l_b)*vsr.column(i)).map(|x| x.modulus()),
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OMatrix::zeros_generic(Const::<4>, Const::<1>),
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epsilon = 1.0e-5));
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prop_assert!(
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relative_eq!((vsl.column(i).adjoint()*(&l_a - &l_b)).map(|x| x.modulus()),
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OMatrix::zeros_generic(Const::<1>, Const::<4>),
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epsilon = 1.0e-5))
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}
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}
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}
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