31 lines
1.6 KiB
Rust
31 lines
1.6 KiB
Rust
extern crate nalgebra as na;
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extern crate nalgebra_lapack;
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#[macro_use]
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extern crate approx; // for assert_relative_eq
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use na::Matrix3;
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use nalgebra_lapack::Eigen;
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use num_complex::Complex;
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//Matrix taken from https://textbooks.math.gatech.edu/ila/1553/complex-eigenvalues.html
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fn main() {
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let m = Matrix3::<f64>::new(4.0/5.0, -3.0/5.0, 0.0, 3.0/5.0, 4.0/5.0, 0.0, 1.0, 2.0, 2.0);
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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!(eigenvalues[0].re, Complex::<f64>::new(4.0/5.0,3.0/5.0).re);
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assert_relative_eq!(eigenvalues[0].im, Complex::<f64>::new(4.0/5.0,3.0/5.0).im);
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assert_relative_eq!(eigenvalues[1].re, Complex::<f64>::new(4.0/5.0,-3.0/5.0).re);
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assert_relative_eq!(eigenvalues[1].im, Complex::<f64>::new(4.0/5.0,-3.0/5.0).im);
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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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} |