nalgebra/tests/linalg/bidiagonal.rs
2021-02-28 17:52:14 +01:00

77 lines
2.5 KiB
Rust

#![cfg(feature = "proptest-support")]
macro_rules! gen_tests(
($module: ident, $scalar: expr) => {
mod $module {
#[allow(unused_imports)]
use crate::core::helper::{RandScalar, RandComplex};
use crate::proptest::*;
use proptest::{prop_assert, proptest};
proptest! {
#[test]
fn bidiagonal(m in dmatrix_($scalar)) {
let bidiagonal = m.clone().bidiagonalize();
let (u, d, v_t) = bidiagonal.unpack();
prop_assert!(relative_eq!(m, &u * d * &v_t, epsilon = 1.0e-7))
}
#[test]
fn bidiagonal_static_5_3(m in matrix5x3_($scalar)) {
let bidiagonal = m.bidiagonalize();
let (u, d, v_t) = bidiagonal.unpack();
prop_assert!(relative_eq!(m, &u * d * &v_t, epsilon = 1.0e-7))
}
#[test]
fn bidiagonal_static_3_5(m in matrix3x5_($scalar)) {
let bidiagonal = m.bidiagonalize();
let (u, d, v_t) = bidiagonal.unpack();
prop_assert!(relative_eq!(m, &u * d * &v_t, epsilon = 1.0e-7))
}
#[test]
fn bidiagonal_static_square(m in matrix4_($scalar)) {
let bidiagonal = m.bidiagonalize();
let (u, d, v_t) = bidiagonal.unpack();
prop_assert!(relative_eq!(m, &u * d * &v_t, epsilon = 1.0e-7))
}
#[test]
fn bidiagonal_static_square_2x2(m in matrix2_($scalar)) {
let bidiagonal = m.bidiagonalize();
let (u, d, v_t) = bidiagonal.unpack();
prop_assert!(relative_eq!(m, &u * d * &v_t, epsilon = 1.0e-7))
}
}
}
}
);
gen_tests!(complex, complex_f64());
gen_tests!(f64, PROPTEST_F64);
#[test]
fn bidiagonal_identity() {
let m = na::DMatrix::<f64>::identity(10, 10);
let bidiagonal = m.clone().bidiagonalize();
let (u, d, v_t) = bidiagonal.unpack();
assert_eq!(m, &u * d * &v_t);
let m = na::DMatrix::<f64>::identity(10, 15);
let bidiagonal = m.clone().bidiagonalize();
let (u, d, v_t) = bidiagonal.unpack();
assert_eq!(m, &u * d * &v_t);
let m = na::DMatrix::<f64>::identity(15, 10);
let bidiagonal = m.clone().bidiagonalize();
let (u, d, v_t) = bidiagonal.unpack();
assert_eq!(m, &u * d * &v_t);
}