48 lines
1.6 KiB
Rust
48 lines
1.6 KiB
Rust
use na::Matrix3;
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use nalgebra_lapack::Eigen;
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use num_complex::Complex;
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#[test]
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fn complex_eigen() {
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let m = Matrix3::<f64>::new(
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4.0 / 5.0,
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-3.0 / 5.0,
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0.0,
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3.0 / 5.0,
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4.0 / 5.0,
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0.0,
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1.0,
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2.0,
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2.0,
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);
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let eigen = Eigen::new(m, true, true).expect("Eigen Creation Failed!");
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let (some_eigenvalues, some_left_vec, some_right_vec) = eigen.get_complex_elements();
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let eigenvalues = some_eigenvalues.expect("Eigenvalues Failed");
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let _left_eigenvectors = some_left_vec.expect("Left Eigenvectors Failed");
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let eigenvectors = some_right_vec.expect("Right Eigenvectors Failed");
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assert_relative_eq!(
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eigenvalues[0].re,
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Complex::<f64>::new(4.0 / 5.0, 3.0 / 5.0).re
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);
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assert_relative_eq!(
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eigenvalues[0].im,
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Complex::<f64>::new(4.0 / 5.0, 3.0 / 5.0).im
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);
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assert_relative_eq!(
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eigenvalues[1].re,
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Complex::<f64>::new(4.0 / 5.0, -3.0 / 5.0).re
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);
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assert_relative_eq!(
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eigenvalues[1].im,
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Complex::<f64>::new(4.0 / 5.0, -3.0 / 5.0).im
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);
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assert_relative_eq!(eigenvectors[0][0].re, -12.0 / 32.7871926215100059134410999);
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assert_relative_eq!(eigenvectors[0][0].im, -9.0 / 32.7871926215100059134410999);
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assert_relative_eq!(eigenvectors[0][1].re, -9.0 / 32.7871926215100059134410999);
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assert_relative_eq!(eigenvectors[0][1].im, 12.0 / 32.7871926215100059134410999);
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assert_relative_eq!(eigenvectors[0][2].re, 25.0 / 32.7871926215100059134410999);
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assert_relative_eq!(eigenvectors[0][2].im, 0.0);
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}
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