Directory: | ./ |
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File: | unittest/eigenvalues.cpp |
Date: | 2025-02-12 21:03:38 |
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1 | // | ||
2 | // Copyright (c) 2022 INRIA | ||
3 | // | ||
4 | |||
5 | #include <iostream> | ||
6 | |||
7 | #include <pinocchio/math/eigenvalues.hpp> | ||
8 | |||
9 | #include <boost/variant.hpp> // to avoid C99 warnings | ||
10 | |||
11 | #include <boost/test/unit_test.hpp> | ||
12 | #include <boost/utility/binary.hpp> | ||
13 | |||
14 | #include <Eigen/Eigenvalues> | ||
15 | #include <algorithm> | ||
16 | |||
17 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
18 | |||
19 | using namespace pinocchio; | ||
20 | |||
21 |
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4 | BOOST_AUTO_TEST_CASE(test_identity) |
22 | { | ||
23 | 2 | const Eigen::DenseIndex mat_size = 20; | |
24 |
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2 | const Eigen::MatrixXd identity_mat = Eigen::MatrixXd::Identity(mat_size, mat_size); |
25 | |||
26 |
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2 | auto eigen_vec = computeLargestEigenvector(identity_mat); |
27 |
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2 | auto eigen_val = retrieveLargestEigenvalue(eigen_vec); |
28 |
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2 | BOOST_CHECK(std::fabs(eigen_val - 1.) <= 1e-4); |
29 | 2 | } | |
30 | |||
31 |
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4 | BOOST_AUTO_TEST_CASE(test_random_matrix) |
32 | { | ||
33 | 2 | const Eigen::DenseIndex mat_size = 10; | |
34 | 2 | const int num_tests = 1000; | |
35 | 2 | const int num_it_max = 10; | |
36 | 2 | const int num_it_max_finer = 100 * num_it_max; | |
37 | |||
38 |
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2002 | for (int k = 0; k < num_tests; ++k) |
39 | { | ||
40 |
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2000 | const Eigen::MatrixXd A = Eigen::MatrixXd::Random(mat_size, mat_size); |
41 |
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2000 | const Eigen::MatrixXd sym_mat = (A * A.transpose()); |
42 | |||
43 |
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2000 | const Eigen::EigenSolver<Eigen::MatrixXd> eigen_solver(sym_mat, true); |
44 |
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2000 | BOOST_CHECK(eigen_solver.info() == Eigen::Success); |
45 | |||
46 | // Sort eigenvalues | ||
47 |
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2000 | Eigen::VectorXd sorted_eigen_values = eigen_solver.eigenvalues().real(); |
48 |
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2000 | std::sort(sorted_eigen_values.data(), sorted_eigen_values.data() + sorted_eigen_values.size()); |
49 | |||
50 |
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2000 | const double eigen_val_ref = sorted_eigen_values[sorted_eigen_values.size() - 1]; |
51 | |||
52 |
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2000 | auto eigen_vec = computeLargestEigenvector(sym_mat, num_it_max); |
53 |
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2000 | auto eigen_val = retrieveLargestEigenvalue(eigen_vec); |
54 | |||
55 | bool test_relative_eigen_val = | ||
56 | 2000 | std::fabs(eigen_val - eigen_val_ref) / (std::max)(eigen_val, eigen_val_ref) <= 1e-2; | |
57 |
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2000 | bool test_eigen_vec = (sym_mat * eigen_vec).isApprox(eigen_val * eigen_vec, 1e-2); |
58 | |||
59 |
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2000 | if (!test_relative_eigen_val || !test_eigen_vec) |
60 | { | ||
61 |
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1146 | auto eigen_vec_finer = computeLargestEigenvector(sym_mat, num_it_max_finer); |
62 |
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1146 | auto eigen_val_finer = retrieveLargestEigenvalue(eigen_vec_finer); |
63 | |||
64 | 1146 | test_relative_eigen_val = | |
65 | 1146 | std::fabs(eigen_val_finer - eigen_val_ref) / (std::max)(eigen_val_finer, eigen_val_ref) | |
66 | <= 1e-2; | ||
67 | test_eigen_vec = | ||
68 |
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1146 | (sym_mat * eigen_vec_finer).isApprox(eigen_val_finer * eigen_vec_finer, 1e-2); |
69 |
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1146 | std::cout << "res: " << (sym_mat * eigen_vec - eigen_val * eigen_vec).norm() << std::endl; |
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1146 | std::cout << "eigen_val: " << eigen_val << std::endl; |
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1146 | std::cout << "eigen_val_finer: " << eigen_val_finer << std::endl; |
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1146 | std::cout << "eigen_val_ref: " << eigen_val_ref << std::endl; |
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1146 | std::cout << "res finer: " |
74 |
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1146 | << (sym_mat * eigen_vec_finer - eigen_val_finer * eigen_vec_finer).norm() |
75 |
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1146 | << std::endl; |
76 | 1146 | } | |
77 |
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2000 | BOOST_CHECK(test_relative_eigen_val); |
78 |
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2000 | BOOST_CHECK(test_eigen_vec); |
79 | 2000 | } | |
80 | 2 | } | |
81 | |||
82 | BOOST_AUTO_TEST_SUITE_END() | ||
83 |