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Add more tests for SolveH #294

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123 changes: 104 additions & 19 deletions ndarray-linalg/tests/solveh.rs
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Original file line number Diff line number Diff line change
@@ -1,30 +1,115 @@
use ndarray::*;
use ndarray_linalg::*;
use num_complex::{Complex32, Complex64};

#[test]
fn solveh_random() {
let a: Array2<f64> = random_hpd(3);
let x: Array1<f64> = random(3);
fn test_solveh<A>(n: usize, transpose: bool, rtol: A::Real)
where
A: Scalar + Lapack,
{
let a: Array2<A> = if transpose {
random_hpd(n).reversed_axes()
} else {
random_hpd(n)
};
let x: Array1<A> = random(n);
let b = a.dot(&x);
let y = a.solveh_into(b).unwrap();
assert_close_l2!(&x, &y, 1e-7);
let mut solutions = Vec::new();
solutions.push(a.solveh(&b).unwrap());
solutions.push(a.factorizeh().unwrap().solveh(&b).unwrap());
solutions.push(a.factorizeh_into().unwrap().solveh(&b).unwrap());
for solution in solutions {
assert_close_l2!(&x, &solution, rtol);
}
}

fn test_solveh_into<A>(n: usize, transpose: bool, rtol: A::Real)
where
A: Scalar + Lapack,
{
let a: Array2<A> = if transpose {
random_hpd(n).reversed_axes()
} else {
random_hpd(n)
};
let x: Array1<A> = random(n);
let b = a.dot(&x);
let f = a.factorizeh_into().unwrap();
let y = f.solveh_into(b).unwrap();
assert_close_l2!(&x, &y, 1e-7);
let mut solutions = Vec::new();
solutions.push(a.solveh_into(b.clone()).unwrap());
solutions.push(a.factorizeh().unwrap().solveh_into(b.clone()).unwrap());
solutions.push(a.factorizeh_into().unwrap().solveh_into(b.clone()).unwrap());
for solution in solutions {
assert_close_l2!(&x, &solution, rtol);
}
}

#[test]
fn solveh_random_t() {
let a: Array2<f64> = random_hpd(3).reversed_axes();
let x: Array1<f64> = random(3);
let b = a.dot(&x);
let y = a.solveh_into(b).unwrap();
assert_close_l2!(&x, &y, 1e-7);
fn solveh_empty() {
test_solveh::<f32>(0, false, 0.);
test_solveh::<f64>(0, false, 0.);
test_solveh::<Complex32>(0, false, 0.);
test_solveh::<Complex64>(0, false, 0.);
}

let b = a.dot(&x);
let f = a.factorizeh_into().unwrap();
let y = f.solveh_into(b).unwrap();
assert_close_l2!(&x, &y, 1e-7);
#[test]
fn solveh_random_float() {
for n in 1..=8 {
test_solveh::<f32>(n, false, 1e-6);
test_solveh::<f64>(n, false, 1e-9);
}
}

#[test]
fn solveh_random_complex() {
for n in 1..=8 {
test_solveh::<Complex32>(n, false, 1e-6);
test_solveh::<Complex64>(n, false, 1e-9);
}
}

#[test]
fn solveh_into_random_float() {
for n in 1..=8 {
test_solveh_into::<f32>(n, false, 1e-6);
test_solveh_into::<f64>(n, false, 1e-9);
}
}

#[test]
fn solveh_into_random_complex() {
for n in 1..=8 {
test_solveh_into::<Complex32>(n, false, 1e-6);
test_solveh_into::<Complex64>(n, false, 1e-9);
}
}

#[test]
fn solveh_random_float_t() {
for n in 1..=8 {
test_solveh::<f32>(n, true, 1e-6);
test_solveh::<f64>(n, true, 1e-9);
}
}

#[test]
fn solveh_random_complex_t() {
for n in 1..=8 {
test_solveh::<Complex32>(n, true, 1e-6);
test_solveh::<Complex64>(n, true, 1e-9);
}
}

#[test]
fn solveh_into_random_float_t() {
for n in 1..=8 {
test_solveh_into::<f32>(n, true, 1e-6);
test_solveh_into::<f64>(n, true, 1e-9);
}
}

#[test]
fn solveh_into_random_complex_t() {
for n in 1..=8 {
test_solveh_into::<Complex32>(n, true, 1e-6);
test_solveh_into::<Complex64>(n, true, 1e-9);
}
}