nalgebra/tests/linalg/qr.rs
2018-10-20 22:26:44 +02:00

113 lines
3.0 KiB
Rust

#![cfg(feature = "arbitrary")]
use na::{DMatrix, DVector, Matrix3x5, Matrix4, Matrix4x3, Matrix5x3, Vector4};
use std::cmp;
quickcheck! {
fn qr(m: DMatrix<f64>) -> bool {
let qr = m.clone().qr();
let q = qr.q();
let r = qr.r();
relative_eq!(m, &q * r, epsilon = 1.0e-7) &&
q.is_orthogonal(1.0e-7)
}
fn qr_static_5_3(m: Matrix5x3<f64>) -> bool {
let qr = m.qr();
let q = qr.q();
let r = qr.r();
relative_eq!(m, q * r, epsilon = 1.0e-7) &&
q.is_orthogonal(1.0e-7)
}
fn qr_static_3_5(m: Matrix3x5<f64>) -> bool {
let qr = m.qr();
let q = qr.q();
let r = qr.r();
relative_eq!(m, q * r, epsilon = 1.0e-7) &&
q.is_orthogonal(1.0e-7)
}
fn qr_static_square(m: Matrix4<f64>) -> bool {
let qr = m.qr();
let q = qr.q();
let r = qr.r();
println!("{}{}{}{}", q, r, q * r, m);
relative_eq!(m, q * r, epsilon = 1.0e-7) &&
q.is_orthogonal(1.0e-7)
}
fn qr_solve(n: usize, nb: usize) -> bool {
if n != 0 && nb != 0 {
let n = cmp::min(n, 50); // To avoid slowing down the test too much.
let nb = cmp::min(nb, 50); // To avoid slowing down the test too much.
let m = DMatrix::<f64>::new_random(n, n);
let qr = m.clone().qr();
let b1 = DVector::new_random(n);
let b2 = DMatrix::new_random(n, nb);
if qr.is_invertible() {
let sol1 = qr.solve(&b1).unwrap();
let sol2 = qr.solve(&b2).unwrap();
return relative_eq!(&m * sol1, b1, epsilon = 1.0e-6) &&
relative_eq!(&m * sol2, b2, epsilon = 1.0e-6)
}
}
return true;
}
fn qr_solve_static(m: Matrix4<f64>) -> bool {
let qr = m.qr();
let b1 = Vector4::new_random();
let b2 = Matrix4x3::new_random();
if qr.is_invertible() {
let sol1 = qr.solve(&b1).unwrap();
let sol2 = qr.solve(&b2).unwrap();
relative_eq!(m * sol1, b1, epsilon = 1.0e-6) &&
relative_eq!(m * sol2, b2, epsilon = 1.0e-6)
}
else {
false
}
}
fn qr_inverse(n: usize) -> bool {
let n = cmp::max(1, cmp::min(n, 15)); // To avoid slowing down the test too much.
let m = DMatrix::<f64>::new_random(n, n);
if let Some(m1) = m.clone().qr().try_inverse() {
let id1 = &m * &m1;
let id2 = &m1 * &m;
id1.is_identity(1.0e-5) && id2.is_identity(1.0e-5)
}
else {
true
}
}
fn qr_inverse_static(m: Matrix4<f64>) -> bool {
let qr = m.qr();
if let Some(m1) = qr.try_inverse() {
let id1 = &m * &m1;
let id2 = &m1 * &m;
id1.is_identity(1.0e-5) && id2.is_identity(1.0e-5)
}
else {
true
}
}
}