nalgebra/tests/linalg/hessenberg.rs

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#![cfg(feature = "arbitrary")]
use na::Matrix2;
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#[test]
fn hessenberg_simple() {
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let m = Matrix2::new(1.0, 0.0, 1.0, 3.0);
let hess = m.hessenberg();
let (p, h) = hess.unpack();
assert!(relative_eq!(m, p * h * p.transpose(), epsilon = 1.0e-7))
}
macro_rules! gen_tests(
($module: ident, $scalar: ty) => {
mod $module {
use na::{DMatrix, Matrix2, Matrix4};
use std::cmp;
#[allow(unused_imports)]
use core::helper::{RandScalar, RandComplex};
quickcheck! {
fn hessenberg(n: usize) -> bool {
let n = cmp::max(1, cmp::min(n, 50));
let m = DMatrix::<$scalar>::new_random(n, n).map(|e| e.0);
let hess = m.clone().hessenberg();
let (p, h) = hess.unpack();
relative_eq!(m, &p * h * p.conjugate_transpose(), epsilon = 1.0e-7)
}
fn hessenberg_static_mat2(m: Matrix2<$scalar>) -> bool {
let m = m.map(|e| e.0);
let hess = m.hessenberg();
let (p, h) = hess.unpack();
relative_eq!(m, p * h * p.conjugate_transpose(), epsilon = 1.0e-7)
}
fn hessenberg_static(m: Matrix4<$scalar>) -> bool {
let m = m.map(|e| e.0);
let hess = m.hessenberg();
let (p, h) = hess.unpack();
relative_eq!(m, p * h * p.conjugate_transpose(), epsilon = 1.0e-7)
}
}
}
}
);
gen_tests!(complex, RandComplex<f64>);
gen_tests!(f64, RandScalar<f64>);