49 lines
1.9 KiB
Rust
49 lines
1.9 KiB
Rust
use std::cmp;
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use na::{DMatrix, Matrix4};
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use nl::Eigen;
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quickcheck!{
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fn eigensystem(n: usize) -> bool {
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if n != 0 {
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let n = cmp::min(n, 25);
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let m = DMatrix::<f64>::new_random(n, n);
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match Eigen::new(m.clone(), true, true) {
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Some(eig) => {
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let eigvals = DMatrix::from_diagonal(&eig.eigenvalues);
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let transformed_eigvectors = &m * eig.eigenvectors.as_ref().unwrap();
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let scaled_eigvectors = eig.eigenvectors.as_ref().unwrap() * &eigvals;
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let transformed_left_eigvectors = m.transpose() * eig.left_eigenvectors.as_ref().unwrap();
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let scaled_left_eigvectors = eig.left_eigenvectors.as_ref().unwrap() * &eigvals;
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relative_eq!(transformed_eigvectors, scaled_eigvectors, epsilon = 1.0e-7) &&
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relative_eq!(transformed_left_eigvectors, scaled_left_eigvectors, epsilon = 1.0e-7)
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},
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None => true
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}
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}
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else {
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true
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}
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}
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fn eigensystem_static(m: Matrix4<f64>) -> bool {
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match Eigen::new(m, true, true) {
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Some(eig) => {
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let eigvals = Matrix4::from_diagonal(&eig.eigenvalues);
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let transformed_eigvectors = m * eig.eigenvectors.unwrap();
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let scaled_eigvectors = eig.eigenvectors.unwrap() * eigvals;
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let transformed_left_eigvectors = m.transpose() * eig.left_eigenvectors.unwrap();
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let scaled_left_eigvectors = eig.left_eigenvectors.unwrap() * eigvals;
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relative_eq!(transformed_eigvectors, scaled_eigvectors, epsilon = 1.0e-7) &&
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relative_eq!(transformed_left_eigvectors, scaled_left_eigvectors, epsilon = 1.0e-7)
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},
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None => true
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}
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}
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}
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