60 lines
2.8 KiB
Rust
60 lines
2.8 KiB
Rust
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use na::dimension::{Const, Dynamic};
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use na::{DMatrix, EuclideanNorm, Norm, OMatrix};
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use nl::GE;
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use num_complex::Complex;
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use simba::scalar::ComplexField;
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use std::cmp;
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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 ge(n in PROPTEST_MATRIX_DIM) {
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let n = cmp::max(1, cmp::min(n, 10));
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let a = DMatrix::<f64>::new_random(n, n);
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let b = DMatrix::<f64>::new_random(n, n);
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let a_condition_no = a.clone().try_inverse().and_then(|x| Some(EuclideanNorm.norm(&x)* EuclideanNorm.norm(&a)));
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let b_condition_no = b.clone().try_inverse().and_then(|x| Some(EuclideanNorm.norm(&x)* EuclideanNorm.norm(&b)));
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if a_condition_no.unwrap_or(200000.0) < 10.0 && b_condition_no.unwrap_or(200000.0) < 10.0 {
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let a_c =a.clone().map(|x| Complex::new(x, 0.0));
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let b_c = b.clone().map(|x| Complex::new(x, 0.0));
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let ge = GE::new(a.clone(), b.clone());
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let (vsl,vsr) = ge.clone().eigenvectors();
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let eigenvalues = ge.clone().eigenvalues();
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for i in 0..n {
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let left_eigenvector = &vsl.column(i);
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prop_assert!(relative_eq!((left_eigenvector.transpose()*&a_c - left_eigenvector.transpose()*&b_c*eigenvalues[i]).map(|x| x.modulus()), OMatrix::zeros_generic(Const::<1>,Dynamic::new(n)) ,epsilon = 1.0e-7));
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let right_eigenvector = &vsr.column(i);
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prop_assert!(relative_eq!((&a_c*right_eigenvector - &b_c*right_eigenvector*eigenvalues[i]).map(|x| x.modulus()), OMatrix::zeros_generic(Dynamic::new(n), Const::<1>) ,epsilon = 1.0e-7));
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};
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};
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}
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#[test]
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fn ge_static(a in matrix4(), b in matrix4()) {
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let a_condition_no = a.clone().try_inverse().and_then(|x| Some(EuclideanNorm.norm(&x)* EuclideanNorm.norm(&a)));
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let b_condition_no = b.clone().try_inverse().and_then(|x| Some(EuclideanNorm.norm(&x)* EuclideanNorm.norm(&b)));
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if a_condition_no.unwrap_or(200000.0) < 10.0 && b_condition_no.unwrap_or(200000.0) < 10.0{
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let ge = GE::new(a.clone(), b.clone());
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let a_c =a.clone().map(|x| Complex::new(x, 0.0));
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let b_c = b.clone().map(|x| Complex::new(x, 0.0));
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let (vsl,vsr) = ge.eigenvectors();
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let eigenvalues = ge.eigenvalues();
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for i in 0..4 {
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let left_eigenvector = &vsl.column(i);
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prop_assert!(relative_eq!((left_eigenvector.transpose()*&a_c - left_eigenvector.transpose()*&b_c*eigenvalues[i]).map(|x| x.modulus()), OMatrix::zeros_generic(Const::<1>,Const::<4>) ,epsilon = 1.0e-7));
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let right_eigenvector = &vsr.column(i);
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prop_assert!(relative_eq!((&a_c*right_eigenvector - &b_c*right_eigenvector*eigenvalues[i]).map(|x| x.modulus()), OMatrix::zeros_generic(Const::<4>, Const::<1>) ,epsilon = 1.0e-7));
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};
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};
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}
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}
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