| Directory: | ./ |
|---|---|
| File: | tests/eiquadprog-fast.cpp |
| Date: | 2024-12-04 10:05:36 |
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| Lines: | 261 | 261 | 100.0% |
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| 1 | // | ||
| 2 | // Copyright (c) 2019 CNRS | ||
| 3 | // | ||
| 4 | // This file is part of eiquadprog. | ||
| 5 | // | ||
| 6 | // eiquadprog is free software: you can redistribute it and/or modify | ||
| 7 | // it under the terms of the GNU Lesser General Public License as published by | ||
| 8 | // the Free Software Foundation, either version 3 of the License, or | ||
| 9 | //(at your option) any later version. | ||
| 10 | |||
| 11 | // eiquadprog is distributed in the hope that it will be useful, | ||
| 12 | // but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 13 | // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | ||
| 14 | // GNU Lesser General Public License for more details. | ||
| 15 | |||
| 16 | // You should have received a copy of the GNU Lesser General Public License | ||
| 17 | // along with eiquadprog. If not, see <https://www.gnu.org/licenses/>. | ||
| 18 | |||
| 19 | #include "eiquadprog/eiquadprog-fast.hpp" | ||
| 20 | |||
| 21 | #include <Eigen/Core> | ||
| 22 | #include <boost/test/unit_test.hpp> | ||
| 23 | #include <iostream> | ||
| 24 | |||
| 25 | using namespace eiquadprog::solvers; | ||
| 26 | |||
| 27 | /** | ||
| 28 | * solves the problem | ||
| 29 | * min. 0.5 * x' Hess x + g0' x | ||
| 30 | * s.t. CE x + ce0 = 0 | ||
| 31 | * CI x + ci0 >= 0 | ||
| 32 | */ | ||
| 33 | |||
| 34 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
| 35 | |||
| 36 | // min ||x||^2 | ||
| 37 | |||
| 38 |
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4 | BOOST_AUTO_TEST_CASE(test_unbiased) { |
| 39 |
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2 | EiquadprogFast qp; |
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2 | qp.reset(2, 0, 0); |
| 41 | |||
| 42 |
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2 | Eigen::MatrixXd Q(2, 2); |
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2 | Q.setZero(); |
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2 | Q(0, 0) = 1.0; |
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2 | Q(1, 1) = 1.0; |
| 46 | |||
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2 | Eigen::VectorXd C(2); |
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2 | C.setZero(); |
| 49 | |||
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2 | Eigen::MatrixXd Aeq(0, 2); |
| 51 | |||
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2 | Eigen::VectorXd Beq(0); |
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2 | Eigen::MatrixXd Aineq(0, 2); |
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2 | Eigen::VectorXd Bineq(0); |
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2 | Eigen::VectorXd x(2); |
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2 | Eigen::VectorXd solution(2); |
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2 | solution.setZero(); |
| 62 | |||
| 63 | 2 | double val = 0.0; | |
| 64 | |||
| 65 | 2 | EiquadprogFast_status expected = EIQUADPROG_FAST_OPTIMAL; | |
| 66 | |||
| 67 | EiquadprogFast_status status = | ||
| 68 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 69 | |||
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2 | BOOST_CHECK_EQUAL(status, expected); |
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2 | BOOST_CHECK_CLOSE(qp.getObjValue(), val, 1e-6); |
| 73 | |||
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2 | BOOST_CHECK(x.isApprox(solution)); |
| 75 | 2 | } | |
| 76 | |||
| 77 | // min ||x-x_0||^2, x_0 = (1 1)^T | ||
| 78 | |||
| 79 |
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4 | BOOST_AUTO_TEST_CASE(test_biased) { |
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2 | EiquadprogFast qp; |
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2 | qp.reset(2, 0, 0); |
| 82 | |||
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2 | Eigen::MatrixXd Q(2, 2); |
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2 | Q.setZero(); |
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2 | Q(0, 0) = 1.0; |
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2 | Q(1, 1) = 1.0; |
| 87 | |||
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2 | Eigen::VectorXd C(2); |
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2 | C(0) = -1.; |
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2 | C(1) = -1.; |
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2 | Eigen::MatrixXd Aeq(0, 2); |
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2 | Eigen::VectorXd Beq(0); |
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2 | Eigen::MatrixXd Aineq(0, 2); |
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2 | Eigen::VectorXd Bineq(0); |
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2 | Eigen::VectorXd x(2); |
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2 | Eigen::VectorXd solution(2); |
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2 | solution(0) = 1.; |
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2 | solution(1) = 1.; |
| 105 | |||
| 106 | 2 | double val = -1.; | |
| 107 | |||
| 108 | 2 | EiquadprogFast_status expected = EIQUADPROG_FAST_OPTIMAL; | |
| 109 | |||
| 110 | EiquadprogFast_status status = | ||
| 111 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
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2 | BOOST_CHECK_EQUAL(status, expected); |
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2 | BOOST_CHECK_CLOSE(qp.getObjValue(), val, 1e-6); |
| 116 | |||
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2 | BOOST_CHECK(x.isApprox(solution)); |
| 118 | 2 | } | |
| 119 | |||
| 120 | // min ||x||^2 | ||
| 121 | // s.t. | ||
| 122 | // x[1] = 1 - x[0] | ||
| 123 | |||
| 124 |
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4 | BOOST_AUTO_TEST_CASE(test_equality_constraints) { |
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2 | EiquadprogFast qp; |
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2 | qp.reset(2, 1, 0); |
| 127 | |||
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2 | Eigen::MatrixXd Q(2, 2); |
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2 | Q.setZero(); |
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2 | Q(0, 0) = 1.0; |
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2 | Q(1, 1) = 1.0; |
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2 | Eigen::VectorXd C(2); |
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2 | C.setZero(); |
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2 | Eigen::MatrixXd Aeq(1, 2); |
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2 | Aeq(0, 0) = 1.; |
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2 | Aeq(0, 1) = 1.; |
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2 | Eigen::VectorXd Beq(1); |
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2 | Beq(0) = -1.; |
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2 | Eigen::MatrixXd Aineq(0, 2); |
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2 | Eigen::VectorXd Bineq(0); |
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2 | Eigen::VectorXd x(2); |
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2 | Eigen::VectorXd solution(2); |
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2 | solution(0) = 0.5; |
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2 | solution(1) = 0.5; |
| 152 | |||
| 153 | 2 | double val = 0.25; | |
| 154 | |||
| 155 | 2 | EiquadprogFast_status expected = EIQUADPROG_FAST_OPTIMAL; | |
| 156 | |||
| 157 | EiquadprogFast_status status = | ||
| 158 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
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2 | BOOST_CHECK_EQUAL(status, expected); |
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2 | BOOST_CHECK_CLOSE(qp.getObjValue(), val, 1e-6); |
| 163 | |||
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2 | BOOST_CHECK(x.isApprox(solution)); |
| 165 | 2 | } | |
| 166 | |||
| 167 | // min ||x||^2 | ||
| 168 | // s.t. | ||
| 169 | // x[i] >= 1 | ||
| 170 | |||
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4 | BOOST_AUTO_TEST_CASE(test_inequality_constraints) { |
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2 | EiquadprogFast qp; |
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2 | qp.reset(2, 0, 2); |
| 174 | |||
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2 | Eigen::MatrixXd Q(2, 2); |
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2 | Q.setZero(); |
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2 | Q(0, 0) = 1.0; |
| 178 |
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2 | Q(1, 1) = 1.0; |
| 179 | |||
| 180 |
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2 | Eigen::VectorXd C(2); |
| 181 |
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2 | C.setZero(); |
| 182 | |||
| 183 |
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2 | Eigen::MatrixXd Aeq(0, 2); |
| 184 | |||
| 185 |
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2 | Eigen::VectorXd Beq(0); |
| 186 | |||
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2 | Eigen::MatrixXd Aineq(2, 2); |
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2 | Aineq.setZero(); |
| 189 |
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2 | Aineq(0, 0) = 1.; |
| 190 |
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2 | Aineq(1, 1) = 1.; |
| 191 | |||
| 192 |
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2 | Eigen::VectorXd Bineq(2); |
| 193 |
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2 | Bineq(0) = -1.; |
| 194 |
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2 | Bineq(1) = -1.; |
| 195 | |||
| 196 |
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2 | Eigen::VectorXd x(2); |
| 197 | |||
| 198 |
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2 | Eigen::VectorXd solution(2); |
| 199 |
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2 | solution(0) = 1.; |
| 200 |
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2 | solution(1) = 1.; |
| 201 | |||
| 202 | 2 | double val = 1.; | |
| 203 | |||
| 204 | 2 | EiquadprogFast_status expected = EIQUADPROG_FAST_OPTIMAL; | |
| 205 | |||
| 206 | EiquadprogFast_status status = | ||
| 207 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 208 | |||
| 209 |
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2 | BOOST_CHECK_EQUAL(status, expected); |
| 210 | |||
| 211 |
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2 | BOOST_CHECK_CLOSE(qp.getObjValue(), val, 1e-6); |
| 212 | |||
| 213 |
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2 | BOOST_CHECK(x.isApprox(solution)); |
| 214 | 2 | } | |
| 215 | |||
| 216 | // min ||x-x_0||^2, x_0 = (1 1)^T | ||
| 217 | // s.t. | ||
| 218 | // x[1] = 5 - x[0] | ||
| 219 | // x[1] >= 3 | ||
| 220 | |||
| 221 |
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4 | BOOST_AUTO_TEST_CASE(test_full) { |
| 222 |
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2 | EiquadprogFast qp; |
| 223 |
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2 | qp.reset(2, 1, 1); |
| 224 | |||
| 225 |
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2 | Eigen::MatrixXd Q(2, 2); |
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2 | Q.setZero(); |
| 227 |
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2 | Q(0, 0) = 1.0; |
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2 | Q(1, 1) = 1.0; |
| 229 | |||
| 230 |
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2 | Eigen::VectorXd C(2); |
| 231 |
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2 | C(0) = -1.; |
| 232 |
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2 | C(1) = -1.; |
| 233 | |||
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2 | Eigen::MatrixXd Aeq(1, 2); |
| 235 |
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2 | Aeq(0, 0) = 1.; |
| 236 |
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2 | Aeq(0, 1) = 1.; |
| 237 | |||
| 238 |
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2 | Eigen::VectorXd Beq(1); |
| 239 |
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2 | Beq(0) = -5.; |
| 240 | |||
| 241 |
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2 | Eigen::MatrixXd Aineq(1, 2); |
| 242 |
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2 | Aineq.setZero(); |
| 243 |
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2 | Aineq(0, 1) = 1.; |
| 244 | |||
| 245 |
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2 | Eigen::VectorXd Bineq(1); |
| 246 |
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2 | Bineq(0) = -3.; |
| 247 | |||
| 248 |
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2 | Eigen::VectorXd x(2); |
| 249 | |||
| 250 |
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2 | Eigen::VectorXd solution(2); |
| 251 |
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2 | solution(0) = 2.; |
| 252 |
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2 | solution(1) = 3.; |
| 253 | |||
| 254 | 2 | double val = 1.5; | |
| 255 | |||
| 256 | 2 | EiquadprogFast_status expected = EIQUADPROG_FAST_OPTIMAL; | |
| 257 | |||
| 258 | EiquadprogFast_status status = | ||
| 259 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 260 | |||
| 261 |
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2 | BOOST_CHECK_EQUAL(status, expected); |
| 262 | |||
| 263 |
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2 | BOOST_CHECK_CLOSE(qp.getObjValue(), val, 1e-6); |
| 264 | |||
| 265 |
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2 | BOOST_CHECK(x.isApprox(solution)); |
| 266 | 2 | } | |
| 267 | |||
| 268 | // min ||x||^2 | ||
| 269 | // s.t. | ||
| 270 | // x[0] = 1 | ||
| 271 | // x[0] = -1 | ||
| 272 | |||
| 273 |
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4 | BOOST_AUTO_TEST_CASE(test_unfeasible_equalities) { |
| 274 |
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2 | EiquadprogFast qp; |
| 275 |
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2 | qp.reset(2, 2, 0); |
| 276 | |||
| 277 |
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2 | Eigen::MatrixXd Q(2, 2); |
| 278 |
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2 | Q.setZero(); |
| 279 |
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2 | Q(0, 0) = 1.0; |
| 280 |
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2 | Q(1, 1) = 1.0; |
| 281 | |||
| 282 |
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2 | Eigen::VectorXd C(2); |
| 283 |
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2 | C.setZero(); |
| 284 | |||
| 285 |
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2 | Eigen::MatrixXd Aeq(2, 2); |
| 286 |
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2 | Aeq.setZero(); |
| 287 |
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2 | Aeq(0, 0) = 1.; |
| 288 |
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2 | Aeq(1, 0) = 1.; |
| 289 | |||
| 290 |
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2 | Eigen::VectorXd Beq(2); |
| 291 |
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2 | Beq(0) = -1.; |
| 292 |
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2 | Beq(1) = 1.; |
| 293 | |||
| 294 |
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2 | Eigen::MatrixXd Aineq(0, 2); |
| 295 | |||
| 296 |
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2 | Eigen::VectorXd Bineq(0); |
| 297 | |||
| 298 |
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2 | Eigen::VectorXd x(2); |
| 299 | |||
| 300 | 2 | EiquadprogFast_status expected = EIQUADPROG_FAST_REDUNDANT_EQUALITIES; | |
| 301 | |||
| 302 | EiquadprogFast_status status = | ||
| 303 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 304 | |||
| 305 |
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2 | BOOST_CHECK_EQUAL(status, expected); |
| 306 | 2 | } | |
| 307 | |||
| 308 | // min ||x||^2 | ||
| 309 | // s.t. | ||
| 310 | // x[0] >= 1 | ||
| 311 | // x[0] <= -1 | ||
| 312 | // | ||
| 313 | // correctly fails, but returns wrong error code | ||
| 314 | |||
| 315 |
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4 | BOOST_AUTO_TEST_CASE(test_unfeasible_inequalities) { |
| 316 |
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2 | EiquadprogFast qp; |
| 317 |
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2 | qp.reset(2, 0, 2); |
| 318 | |||
| 319 |
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2 | Eigen::MatrixXd Q(2, 2); |
| 320 |
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2 | Q.setZero(); |
| 321 |
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2 | Q(0, 0) = 1.0; |
| 322 |
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2 | Q(1, 1) = 1.0; |
| 323 | |||
| 324 |
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2 | Eigen::VectorXd C(2); |
| 325 |
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2 | C.setZero(); |
| 326 | |||
| 327 |
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2 | Eigen::MatrixXd Aeq(0, 2); |
| 328 | |||
| 329 |
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2 | Eigen::VectorXd Beq(0); |
| 330 | |||
| 331 |
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2 | Eigen::MatrixXd Aineq(2, 2); |
| 332 |
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2 | Aineq.setZero(); |
| 333 |
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2 | Aineq(0, 0) = 1.; |
| 334 |
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2 | Aineq(1, 0) = -1.; |
| 335 | |||
| 336 |
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2 | Eigen::VectorXd Bineq(2); |
| 337 |
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2 | Bineq(0) = -1; |
| 338 |
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2 | Bineq(1) = -1; |
| 339 | |||
| 340 |
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2 | Eigen::VectorXd x(2); |
| 341 | |||
| 342 | 2 | EiquadprogFast_status expected = EIQUADPROG_FAST_INFEASIBLE; | |
| 343 | |||
| 344 | EiquadprogFast_status status = | ||
| 345 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 346 | |||
| 347 |
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2 | BOOST_WARN_EQUAL(status, expected); |
| 348 |
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2 | BOOST_CHECK(status != EIQUADPROG_FAST_OPTIMAL); |
| 349 | 2 | } | |
| 350 | |||
| 351 | // min ||x-x_0||^2, x_0 = (1 1)^T | ||
| 352 | // s.t. | ||
| 353 | // x[1] = 1 - x[0] | ||
| 354 | // x[0] <= 0 | ||
| 355 | // x[1] <= 0 | ||
| 356 | // | ||
| 357 | // correctly fails, but returns wrong error code | ||
| 358 | |||
| 359 |
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4 | BOOST_AUTO_TEST_CASE(test_unfeasible_constraints) { |
| 360 |
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2 | EiquadprogFast qp; |
| 361 |
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2 | qp.reset(2, 1, 2); |
| 362 | |||
| 363 |
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2 | Eigen::MatrixXd Q(2, 2); |
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2 | Q.setZero(); |
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2 | Q(0, 0) = 1.0; |
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2 | Q(1, 1) = 1.0; |
| 367 | |||
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2 | Eigen::VectorXd C(2); |
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2 | C(0) = -1.; |
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2 | C(1) = -1.; |
| 371 | |||
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2 | Eigen::MatrixXd Aeq(1, 2); |
| 373 |
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2 | Aeq(0, 0) = 1.; |
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2 | Aeq(0, 1) = 1.; |
| 375 | |||
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2 | Eigen::VectorXd Beq(1); |
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2 | Beq(0) = -1.; |
| 378 | |||
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2 | Eigen::MatrixXd Aineq(2, 2); |
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2 | Aineq.setZero(); |
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2 | Aineq(0, 0) = -1.; |
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2 | Aineq(1, 1) = -1.; |
| 383 | |||
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2 | Eigen::VectorXd Bineq(2); |
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2 | Bineq.setZero(); |
| 386 | |||
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2 | Eigen::VectorXd x(2); |
| 388 | |||
| 389 | 2 | EiquadprogFast_status expected = EIQUADPROG_FAST_INFEASIBLE; | |
| 390 | |||
| 391 | EiquadprogFast_status status = | ||
| 392 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 393 | |||
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2 | BOOST_WARN_EQUAL(status, expected); |
| 395 |
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2 | BOOST_CHECK(status != EIQUADPROG_FAST_OPTIMAL); |
| 396 | 2 | } | |
| 397 | |||
| 398 | // min -||x||^2 | ||
| 399 | // DOES NOT WORK! | ||
| 400 | |||
| 401 |
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4 | BOOST_AUTO_TEST_CASE(test_unbounded) { |
| 402 |
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2 | EiquadprogFast qp; |
| 403 |
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2 | qp.reset(2, 0, 0); |
| 404 | |||
| 405 |
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2 | Eigen::MatrixXd Q(2, 2); |
| 406 |
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2 | Q.setZero(); |
| 407 |
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2 | Q(0, 0) = -1.0; |
| 408 |
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2 | Q(1, 1) = -1.0; |
| 409 | |||
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2 | Eigen::VectorXd C(2); |
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2 | C.setZero(); |
| 412 | |||
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2 | Eigen::MatrixXd Aeq(0, 2); |
| 414 | |||
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2 | Eigen::VectorXd Beq(0); |
| 416 | |||
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2 | Eigen::MatrixXd Aineq(0, 2); |
| 418 | |||
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2 | Eigen::VectorXd Bineq(0); |
| 420 | |||
| 421 |
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2 | Eigen::VectorXd x(2); |
| 422 | |||
| 423 | 2 | EiquadprogFast_status expected = EIQUADPROG_FAST_UNBOUNDED; | |
| 424 | |||
| 425 | EiquadprogFast_status status = | ||
| 426 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 427 | |||
| 428 |
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2 | BOOST_WARN_EQUAL(status, expected); |
| 429 |
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2 | BOOST_WARN(status != EIQUADPROG_FAST_OPTIMAL); // SHOULD pass! |
| 430 | 2 | } | |
| 431 | |||
| 432 | // min -||x||^2 | ||
| 433 | // s.t. | ||
| 434 | // 0<= x[0] <= 1 | ||
| 435 | // 0<= x[1] <= 1 | ||
| 436 | // DOES NOT WORK! | ||
| 437 | |||
| 438 |
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4 | BOOST_AUTO_TEST_CASE(test_nonconvex) { |
| 439 |
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2 | EiquadprogFast qp; |
| 440 |
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2 | qp.reset(2, 0, 4); |
| 441 | |||
| 442 |
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2 | Eigen::MatrixXd Q(2, 2); |
| 443 |
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2 | Q.setZero(); |
| 444 |
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2 | Q(0, 0) = -1.0; |
| 445 |
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2 | Q(1, 1) = -1.0; |
| 446 | |||
| 447 |
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2 | Eigen::VectorXd C(2); |
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2 | C.setZero(); |
| 449 | |||
| 450 |
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2 | Eigen::MatrixXd Aeq(0, 2); |
| 451 | |||
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2 | Eigen::VectorXd Beq(0); |
| 453 | |||
| 454 |
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2 | Eigen::MatrixXd Aineq(4, 2); |
| 455 |
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2 | Aineq.setZero(); |
| 456 |
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2 | Aineq(0, 0) = 1.; |
| 457 |
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2 | Aineq(1, 0) = -1.; |
| 458 |
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2 | Aineq(2, 1) = 1.; |
| 459 |
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2 | Aineq(3, 1) = -1.; |
| 460 | |||
| 461 |
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2 | Eigen::VectorXd Bineq(4); |
| 462 |
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2 | Bineq(0) = 0.; |
| 463 |
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2 | Bineq(1) = 1.; |
| 464 |
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2 | Bineq(2) = 0.; |
| 465 |
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2 | Bineq(3) = 1.; |
| 466 | |||
| 467 |
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2 | Eigen::VectorXd x(2); |
| 468 | |||
| 469 |
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2 | Eigen::VectorXd solution(2); |
| 470 |
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2 | solution(0) = 1.; |
| 471 |
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2 | solution(1) = 1.; |
| 472 | |||
| 473 | 2 | double val = -1.; | |
| 474 | |||
| 475 | 2 | EiquadprogFast_status expected = EIQUADPROG_FAST_OPTIMAL; | |
| 476 | |||
| 477 | EiquadprogFast_status status = | ||
| 478 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 479 | |||
| 480 |
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2 | BOOST_CHECK_EQUAL(status, expected); |
| 481 | |||
| 482 |
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2 | BOOST_WARN_CLOSE(qp.getObjValue(), val, 1e-6); |
| 483 | |||
| 484 |
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2 | BOOST_WARN(x.isApprox(solution)); |
| 485 | 2 | } | |
| 486 | |||
| 487 | BOOST_AUTO_TEST_SUITE_END() | ||
| 488 |