58 lines
1.6 KiB
Rust
58 lines
1.6 KiB
Rust
use nl::SVD;
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use na::{DMatrix, Matrix3x4};
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quickcheck!{
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fn svd(m: DMatrix<f64>) -> bool {
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if m.nrows() != 0 && m.ncols() != 0 {
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let svd = SVD::new(m.clone()).unwrap();
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let sm = DMatrix::from_partial_diagonal(m.nrows(), m.ncols(), svd.singular_values.as_slice());
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let reconstructed_m = &svd.u * sm * &svd.vt;
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let reconstructed_m2 = svd.recompose();
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relative_eq!(reconstructed_m, m, epsilon = 1.0e-7) &&
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relative_eq!(reconstructed_m2, reconstructed_m, epsilon = 1.0e-7)
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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 svd_static(m: Matrix3x4<f64>) -> bool {
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let svd = SVD::new(m).unwrap();
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let sm = Matrix3x4::from_partial_diagonal(svd.singular_values.as_slice());
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let reconstructed_m = &svd.u * &sm * &svd.vt;
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let reconstructed_m2 = svd.recompose();
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relative_eq!(reconstructed_m, m, epsilon = 1.0e-7) &&
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relative_eq!(reconstructed_m2, m, epsilon = 1.0e-7)
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}
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fn pseudo_inverse(m: DMatrix<f64>) -> bool {
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if m.nrows() == 0 || m.ncols() == 0 {
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return true;
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}
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let svd = SVD::new(m.clone()).unwrap();
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let im = svd.pseudo_inverse(1.0e-7);
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if m.nrows() <= m.ncols() {
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return (&m * &im).is_identity(1.0e-7)
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}
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if m.nrows() >= m.ncols() {
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return (im * m).is_identity(1.0e-7)
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}
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return true;
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}
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fn pseudo_inverse_static(m: Matrix3x4<f64>) -> bool {
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let svd = SVD::new(m).unwrap();
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let im = svd.pseudo_inverse(1.0e-7);
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(m * im).is_identity(1.0e-7)
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}
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}
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