153 lines
6.1 KiB
Rust
153 lines
6.1 KiB
Rust
#[cfg_attr(rustfmt, rustfmt_skip)]
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use na::Matrix4;
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#[test]
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fn col_piv_qr() {
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let m = Matrix4::new(
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1.0, -1.0, 2.0, 1.0, -1.0, 3.0, -1.0, -1.0, 3.0, -5.0, 5.0, 3.0, 1.0, 2.0, 1.0, -2.0,
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);
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let col_piv_qr = m.col_piv_qr();
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assert!(relative_eq!(
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col_piv_qr.determinant(),
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0.0,
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epsilon = 1.0e-7
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));
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let (q, r, p) = col_piv_qr.unpack();
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let mut qr = q * r;
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p.inv_permute_columns(&mut qr);
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assert!(relative_eq!(m, qr, epsilon = 1.0e-7));
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}
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#[cfg(feature = "proptest-support")]
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mod proptest_tests {
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macro_rules! gen_tests(
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($module: ident, $scalar: expr ,$scalar_type: ty) => {
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mod $module {
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use na::{DMatrix, DVector, Matrix4x3, Vector4};
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use std::cmp;
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#[allow(unused_imports)]
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use crate::core::helper::{RandComplex, RandScalar};
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use crate::proptest::*;
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use proptest::{prop_assert, proptest};
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proptest! {
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#[test]
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fn col_piv_qr(m in dmatrix_($scalar)) {
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let col_piv_qr = m.clone().col_piv_qr();
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let (q, r, p) = col_piv_qr.unpack();
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let mut qr = &q * &r;
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p.inv_permute_columns(&mut qr);
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prop_assert!(relative_eq!(m, &qr, epsilon = 1.0e-7));
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prop_assert!(q.is_orthogonal(1.0e-7));
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}
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#[test]
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fn col_piv_qr_static_5_3(m in matrix5x3_($scalar)) {
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let col_piv_qr = m.col_piv_qr();
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let (q, r, p) = col_piv_qr.unpack();
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let mut qr = q * r;
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p.inv_permute_columns(&mut qr);
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prop_assert!(relative_eq!(m, qr, epsilon = 1.0e-7));
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prop_assert!(q.is_orthogonal(1.0e-7));
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}
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#[test]
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fn col_piv_qr_static_3_5(m in matrix3x5_($scalar)) {
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let col_piv_qr = m.col_piv_qr();
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let (q, r, p) = col_piv_qr.unpack();
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let mut qr = q * r;
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p.inv_permute_columns(&mut qr);
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prop_assert!(relative_eq!(m, qr, epsilon = 1.0e-7));
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prop_assert!(q.is_orthogonal(1.0e-7));
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}
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#[test]
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fn col_piv_qr_static_square(m in matrix4_($scalar)) {
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let col_piv_qr = m.col_piv_qr();
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let (q, r, p) = col_piv_qr.unpack();
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let mut qr = q * r;
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p.inv_permute_columns(&mut qr);
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prop_assert!(relative_eq!(m, qr, epsilon = 1.0e-7));
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prop_assert!(q.is_orthogonal(1.0e-7));
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}
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#[test]
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fn col_piv_qr_solve(n in PROPTEST_MATRIX_DIM, nb in PROPTEST_MATRIX_DIM) {
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if n != 0 && nb != 0 {
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let n = cmp::min(n, 50); // To avoid slowing down the test too much.
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let nb = cmp::min(nb, 50); // To avoid slowing down the test too much.
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let m = DMatrix::<$scalar_type>::new_random(n, n).map(|e| e.0);
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let col_piv_qr = m.clone().col_piv_qr();
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let b1 = DVector::<$scalar_type>::new_random(n).map(|e| e.0);
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let b2 = DMatrix::<$scalar_type>::new_random(n, nb).map(|e| e.0);
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if col_piv_qr.is_invertible() {
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let sol1 = col_piv_qr.solve(&b1).unwrap();
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let sol2 = col_piv_qr.solve(&b2).unwrap();
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prop_assert!(relative_eq!(&m * sol1, b1, epsilon = 1.0e-6));
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prop_assert!(relative_eq!(&m * sol2, b2, epsilon = 1.0e-6));
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}
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}
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}
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#[test]
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fn col_piv_qr_solve_static(m in matrix4_($scalar)) {
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let col_piv_qr = m.col_piv_qr();
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let b1 = Vector4::<$scalar_type>::new_random().map(|e| e.0);
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let b2 = Matrix4x3::<$scalar_type>::new_random().map(|e| e.0);
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if col_piv_qr.is_invertible() {
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let sol1 = col_piv_qr.solve(&b1).unwrap();
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let sol2 = col_piv_qr.solve(&b2).unwrap();
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prop_assert!(relative_eq!(m * sol1, b1, epsilon = 1.0e-6));
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prop_assert!(relative_eq!(m * sol2, b2, epsilon = 1.0e-6));
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}
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}
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#[test]
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fn col_piv_qr_inverse(n in PROPTEST_MATRIX_DIM) {
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let n = cmp::max(1, cmp::min(n, 15)); // To avoid slowing down the test too much.
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let m = DMatrix::<$scalar_type>::new_random(n, n).map(|e| e.0);
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if let Some(m1) = m.clone().col_piv_qr().try_inverse() {
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let id1 = &m * &m1;
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let id2 = &m1 * &m;
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prop_assert!(id1.is_identity(1.0e-5));
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prop_assert!(id2.is_identity(1.0e-5));
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}
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}
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#[test]
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fn col_piv_qr_inverse_static(m in matrix4_($scalar)) {
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let col_piv_qr = m.col_piv_qr();
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if let Some(m1) = col_piv_qr.try_inverse() {
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let id1 = &m * &m1;
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let id2 = &m1 * &m;
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prop_assert!(id1.is_identity(1.0e-5));
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prop_assert!(id2.is_identity(1.0e-5));
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}
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}
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}
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}
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}
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);
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gen_tests!(complex, complex_f64(), RandComplex<f64>);
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gen_tests!(f64, PROPTEST_F64, RandScalar<f64>);
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}
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