| Directory: | ./ |
|---|---|
| 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); |
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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); |
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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(); |
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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); |
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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); |
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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); |
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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: " |
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1146 | << (sym_mat * eigen_vec_finer - eigen_val_finer * eigen_vec_finer).norm() |
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1146 | << std::endl; |
| 76 | 1146 | } | |
| 77 |
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2000 | BOOST_CHECK(test_relative_eigen_val); |
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2000 | BOOST_CHECK(test_eigen_vec); |
| 79 | 2000 | } | |
| 80 | 2 | } | |
| 81 | |||
| 82 | BOOST_AUTO_TEST_SUITE_END() | ||
| 83 |