nalgebra/tests/linalg/tridiagonal.rs
2019-03-18 11:23:19 +01:00

48 lines
1.6 KiB
Rust

#![cfg(feature = "arbitrary")]
use std::cmp;
use na::{DMatrix, Matrix2, Matrix4};
use core::helper::{RandScalar, RandComplex};
quickcheck! {
fn symm_tridiagonal(n: usize) -> bool {
let n = cmp::max(1, cmp::min(n, 50));
let m = DMatrix::<RandComplex<f64>>::new_random(n, n).map(|e| e.0).hermitian_part();
let tri = m.clone().symmetric_tridiagonalize();
let recomp = tri.recompose();
relative_eq!(m.lower_triangle(), recomp.lower_triangle(), epsilon = 1.0e-7)
}
fn symm_tridiagonal_singular(n: usize) -> bool {
let n = cmp::max(1, cmp::min(n, 4));
let mut m = DMatrix::<RandComplex<f64>>::new_random(n, n).map(|e| e.0).hermitian_part();
m.row_mut(n / 2).fill(na::zero());
m.column_mut(n / 2).fill(na::zero());
let tri = m.clone().symmetric_tridiagonalize();
println!("Tri: {:?}", tri);
let recomp = tri.recompose();
println!("Recomp: {:?}", recomp);
relative_eq!(m.lower_triangle(), recomp.lower_triangle(), epsilon = 1.0e-7)
}
fn symm_tridiagonal_static_square(m: Matrix4<RandComplex<f64>>) -> bool {
let m = m.map(|e| e.0).hermitian_part();
let tri = m.symmetric_tridiagonalize();
let recomp = tri.recompose();
relative_eq!(m.lower_triangle(), recomp.lower_triangle(), epsilon = 1.0e-7)
}
fn symm_tridiagonal_static_square_2x2(m: Matrix2<RandComplex<f64>>) -> bool {
let m = m.map(|e| e.0).hermitian_part();
let tri = m.symmetric_tridiagonalize();
let recomp = tri.recompose();
relative_eq!(m.lower_triangle(), recomp.lower_triangle(), epsilon = 1.0e-7)
}
}