| Directory: | ./ |
|---|---|
| File: | tests/eiquadprog-rt.cpp |
| Date: | 2024-12-04 10:05:36 |
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| Lines: | 251 | 251 | 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-rt.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 | RtEiquadprog<2, 0, 0> qp; |
| 40 | |||
| 41 |
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2 | RtMatrixX<2, 2>::d Q; |
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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; |
| 45 | |||
| 46 |
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2 | RtVectorX<2>::d C; |
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2 | C.setZero(); |
| 48 | |||
| 49 |
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2 | RtMatrixX<0, 2>::d Aeq; |
| 50 | |||
| 51 |
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2 | RtVectorX<0>::d Beq; |
| 52 | |||
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2 | RtMatrixX<0, 2>::d Aineq; |
| 54 | |||
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2 | RtVectorX<0>::d Bineq; |
| 56 | |||
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2 | RtVectorX<2>::d x; |
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2 | RtVectorX<2>::d solution; |
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2 | solution.setZero(); |
| 61 | |||
| 62 | 2 | double val = 0.0; | |
| 63 | |||
| 64 | 2 | RtEiquadprog_status expected = RT_EIQUADPROG_OPTIMAL; | |
| 65 | |||
| 66 | RtEiquadprog_status status = | ||
| 67 |
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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); |
| 72 | |||
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2 | BOOST_CHECK(x.isApprox(solution)); |
| 74 | 2 | } | |
| 75 | |||
| 76 | // min ||x-x_0||^2, x_0 = (1 1)^T | ||
| 77 | |||
| 78 |
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4 | BOOST_AUTO_TEST_CASE(test_biased) { |
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2 | RtEiquadprog<2, 0, 0> qp; |
| 80 | |||
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2 | RtMatrixX<2, 2>::d Q; |
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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 | RtVectorX<2>::d C; |
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2 | C(0) = -1.; |
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2 | C(1) = -1.; |
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2 | RtMatrixX<0, 2>::d Aeq; |
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2 | RtVectorX<0>::d Beq; |
| 93 | |||
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2 | RtMatrixX<0, 2>::d Aineq; |
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2 | RtVectorX<0>::d Bineq; |
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2 | RtVectorX<2>::d x; |
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2 | RtVectorX<2>::d solution; |
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2 | solution(0) = 1.; |
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2 | solution(1) = 1.; |
| 103 | |||
| 104 | 2 | double val = -1.; | |
| 105 | |||
| 106 | 2 | RtEiquadprog_status expected = RT_EIQUADPROG_OPTIMAL; | |
| 107 | |||
| 108 | RtEiquadprog_status status = | ||
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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); |
| 114 | |||
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2 | BOOST_CHECK(x.isApprox(solution)); |
| 116 | 2 | } | |
| 117 | |||
| 118 | // min ||x||^2 | ||
| 119 | // s.t. | ||
| 120 | // x[1] = 1 - x[0] | ||
| 121 | |||
| 122 |
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4 | BOOST_AUTO_TEST_CASE(test_equality_constraints) { |
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2 | RtEiquadprog<2, 1, 0> qp; |
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2 | RtMatrixX<2, 2>::d Q; |
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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 | RtVectorX<2>::d C; |
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2 | C.setZero(); |
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2 | RtMatrixX<1, 2>::d Aeq; |
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2 | Aeq(0, 0) = 1.; |
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2 | Aeq(0, 1) = 1.; |
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2 | RtVectorX<1>::d Beq; |
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2 | Beq(0) = -1.; |
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2 | RtMatrixX<0, 2>::d Aineq; |
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2 | RtVectorX<0>::d Bineq; |
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2 | RtVectorX<2>::d x; |
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2 | RtVectorX<2>::d solution; |
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2 | solution(0) = 0.5; |
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2 | solution(1) = 0.5; |
| 149 | |||
| 150 | 2 | double val = 0.25; | |
| 151 | |||
| 152 | 2 | RtEiquadprog_status expected = RT_EIQUADPROG_OPTIMAL; | |
| 153 | |||
| 154 | RtEiquadprog_status status = | ||
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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); |
| 160 | |||
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2 | BOOST_CHECK(x.isApprox(solution)); |
| 162 | 2 | } | |
| 163 | |||
| 164 | // min ||x||^2 | ||
| 165 | // s.t. | ||
| 166 | // x[i] >= 1 | ||
| 167 | |||
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4 | BOOST_AUTO_TEST_CASE(test_inequality_constraints) { |
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2 | RtEiquadprog<2, 0, 2> qp; |
| 170 | |||
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2 | RtMatrixX<2, 2>::d Q; |
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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 | RtVectorX<2>::d C; |
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2 | C.setZero(); |
| 178 | |||
| 179 |
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2 | RtMatrixX<0, 2>::d Aeq; |
| 180 | |||
| 181 |
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2 | RtVectorX<0>::d Beq(0); |
| 182 | |||
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2 | RtMatrixX<2, 2>::d Aineq; |
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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.; |
| 187 | |||
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2 | RtVectorX<2>::d Bineq; |
| 189 |
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2 | Bineq(0) = -1.; |
| 190 |
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2 | Bineq(1) = -1.; |
| 191 | |||
| 192 |
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2 | RtVectorX<2>::d x; |
| 193 | |||
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2 | RtVectorX<2>::d solution; |
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2 | solution(0) = 1.; |
| 196 |
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2 | solution(1) = 1.; |
| 197 | |||
| 198 | 2 | double val = 1.; | |
| 199 | |||
| 200 | 2 | RtEiquadprog_status expected = RT_EIQUADPROG_OPTIMAL; | |
| 201 | |||
| 202 | RtEiquadprog_status status = | ||
| 203 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 204 | |||
| 205 |
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2 | BOOST_CHECK_EQUAL(status, expected); |
| 206 | |||
| 207 |
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2 | BOOST_CHECK_CLOSE(qp.getObjValue(), val, 1e-6); |
| 208 | |||
| 209 |
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2 | BOOST_CHECK(x.isApprox(solution)); |
| 210 | 2 | } | |
| 211 | |||
| 212 | // min ||x-x_0||^2, x_0 = (1 1)^T | ||
| 213 | // s.t. | ||
| 214 | // x[1] = 5 - x[0] | ||
| 215 | // x[1] >= 3 | ||
| 216 | |||
| 217 |
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4 | BOOST_AUTO_TEST_CASE(test_full) { |
| 218 |
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2 | RtEiquadprog<2, 1, 1> qp; |
| 219 | |||
| 220 |
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2 | RtMatrixX<2, 2>::d Q; |
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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; |
| 224 | |||
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2 | RtVectorX<2>::d C; |
| 226 |
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2 | C(0) = -1.; |
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2 | C(1) = -1.; |
| 228 | |||
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2 | RtMatrixX<1, 2>::d Aeq; |
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2 | Aeq(0, 0) = 1.; |
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2 | Aeq(0, 1) = 1.; |
| 232 | |||
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2 | RtVectorX<1>::d Beq; |
| 234 |
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2 | Beq(0) = -5.; |
| 235 | |||
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2 | RtMatrixX<1, 2>::d Aineq; |
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2 | Aineq.setZero(); |
| 238 |
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2 | Aineq(0, 1) = 1.; |
| 239 | |||
| 240 |
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2 | RtVectorX<1>::d Bineq; |
| 241 |
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2 | Bineq(0) = -3.; |
| 242 | |||
| 243 |
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2 | RtVectorX<2>::d x; |
| 244 | |||
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2 | RtVectorX<2>::d solution; |
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2 | solution(0) = 2.; |
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2 | solution(1) = 3.; |
| 248 | |||
| 249 | 2 | double val = 1.5; | |
| 250 | |||
| 251 | 2 | RtEiquadprog_status expected = RT_EIQUADPROG_OPTIMAL; | |
| 252 | |||
| 253 | RtEiquadprog_status status = | ||
| 254 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 255 | |||
| 256 |
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2 | BOOST_CHECK_EQUAL(status, expected); |
| 257 | |||
| 258 |
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2 | BOOST_CHECK_CLOSE(qp.getObjValue(), val, 1e-6); |
| 259 | |||
| 260 |
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2 | BOOST_CHECK(x.isApprox(solution)); |
| 261 | 2 | } | |
| 262 | |||
| 263 | // min ||x||^2 | ||
| 264 | // s.t. | ||
| 265 | // x[0] = 1 | ||
| 266 | // x[0] = -1 | ||
| 267 | |||
| 268 |
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4 | BOOST_AUTO_TEST_CASE(test_unfeasible_equalities) { |
| 269 |
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2 | RtEiquadprog<2, 2, 0> qp; |
| 270 | |||
| 271 |
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2 | RtMatrixX<2, 2>::d Q; |
| 272 |
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2 | Q.setZero(); |
| 273 |
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2 | Q(0, 0) = 1.0; |
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2 | Q(1, 1) = 1.0; |
| 275 | |||
| 276 |
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2 | RtVectorX<2>::d C; |
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2 | C.setZero(); |
| 278 | |||
| 279 |
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2 | RtMatrixX<2, 2>::d Aeq; |
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2 | Aeq.setZero(); |
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2 | Aeq(0, 0) = 1.; |
| 282 |
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2 | Aeq(1, 0) = 1.; |
| 283 | |||
| 284 |
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2 | RtVectorX<2>::d Beq; |
| 285 |
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2 | Beq(0) = -1.; |
| 286 |
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2 | Beq(1) = 1.; |
| 287 | |||
| 288 |
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2 | RtMatrixX<0, 2>::d Aineq; |
| 289 | |||
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2 | RtVectorX<0>::d Bineq; |
| 291 | |||
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2 | RtVectorX<2>::d x; |
| 293 | |||
| 294 | 2 | RtEiquadprog_status expected = RT_EIQUADPROG_REDUNDANT_EQUALITIES; | |
| 295 | |||
| 296 | RtEiquadprog_status status = | ||
| 297 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 298 | |||
| 299 |
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2 | BOOST_CHECK_EQUAL(status, expected); |
| 300 | 2 | } | |
| 301 | |||
| 302 | // min ||x||^2 | ||
| 303 | // s.t. | ||
| 304 | // x[0] >= 1 | ||
| 305 | // x[0] <= -1 | ||
| 306 | // | ||
| 307 | // correctly fails, but returns wrong error code | ||
| 308 | |||
| 309 |
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4 | BOOST_AUTO_TEST_CASE(test_unfeasible_inequalities) { |
| 310 |
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2 | RtEiquadprog<2, 0, 2> qp; |
| 311 | |||
| 312 |
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2 | RtMatrixX<2, 2>::d Q; |
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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; |
| 316 | |||
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2 | RtVectorX<2>::d C; |
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2 | C.setZero(); |
| 319 | |||
| 320 |
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2 | RtMatrixX<0, 2>::d Aeq; |
| 321 | |||
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2 | RtVectorX<0>::d Beq; |
| 323 | |||
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2 | RtMatrixX<2, 2>::d Aineq; |
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2 | Aineq.setZero(); |
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2 | Aineq(0, 0) = 1.; |
| 327 |
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2 | Aineq(1, 0) = -1.; |
| 328 | |||
| 329 |
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2 | RtVectorX<2>::d Bineq; |
| 330 |
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2 | Bineq(0) = -1; |
| 331 |
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2 | Bineq(1) = -1; |
| 332 | |||
| 333 |
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2 | RtVectorX<2>::d x; |
| 334 | |||
| 335 | 2 | RtEiquadprog_status expected = RT_EIQUADPROG_INFEASIBLE; | |
| 336 | |||
| 337 | RtEiquadprog_status status = | ||
| 338 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 339 | |||
| 340 |
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2 | BOOST_WARN_EQUAL(status, expected); |
| 341 |
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2 | BOOST_CHECK(status != RT_EIQUADPROG_OPTIMAL); |
| 342 | 2 | } | |
| 343 | |||
| 344 | // min ||x-x_0||^2, x_0 = (1 1)^T | ||
| 345 | // s.t. | ||
| 346 | // x[1] = 1 - x[0] | ||
| 347 | // x[0] <= 0 | ||
| 348 | // x[1] <= 0 | ||
| 349 | // | ||
| 350 | // correctly fails, but returns wrong error code | ||
| 351 | |||
| 352 |
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4 | BOOST_AUTO_TEST_CASE(test_unfeasible_constraints) { |
| 353 |
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2 | RtEiquadprog<2, 1, 2> qp; |
| 354 | |||
| 355 |
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2 | RtMatrixX<2, 2>::d Q; |
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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; |
| 359 | |||
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2 | RtVectorX<2>::d C; |
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2 | C(0) = -1.; |
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2 | C(1) = -1.; |
| 363 | |||
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2 | RtMatrixX<1, 2>::d Aeq; |
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2 | Aeq(0, 0) = 1.; |
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2 | Aeq(0, 1) = 1.; |
| 367 | |||
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2 | RtVectorX<1>::d Beq; |
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2 | Beq(0) = -1.; |
| 370 | |||
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2 | RtMatrixX<2, 2>::d Aineq; |
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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.; |
| 375 | |||
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2 | RtVectorX<2>::d Bineq; |
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2 | Bineq.setZero(); |
| 378 | |||
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2 | RtVectorX<2>::d x; |
| 380 | |||
| 381 | 2 | RtEiquadprog_status expected = RT_EIQUADPROG_INFEASIBLE; | |
| 382 | |||
| 383 | RtEiquadprog_status status = | ||
| 384 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 385 | |||
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2 | BOOST_WARN_EQUAL(status, expected); |
| 387 |
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2 | BOOST_CHECK(status != RT_EIQUADPROG_OPTIMAL); |
| 388 | 2 | } | |
| 389 | |||
| 390 | // min -||x||^2 | ||
| 391 | // DOES NOT WORK! | ||
| 392 | |||
| 393 |
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4 | BOOST_AUTO_TEST_CASE(test_unbounded) { |
| 394 |
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2 | RtEiquadprog<2, 0, 0> qp; |
| 395 | |||
| 396 |
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2 | RtMatrixX<2, 2>::d Q; |
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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; |
| 400 | |||
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2 | RtVectorX<2>::d C; |
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2 | C.setZero(); |
| 403 | |||
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2 | RtMatrixX<0, 2>::d Aeq; |
| 405 | |||
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2 | RtVectorX<0>::d Beq; |
| 407 | |||
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2 | RtMatrixX<0, 2>::d Aineq; |
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2 | RtVectorX<0>::d Bineq; |
| 411 | |||
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2 | RtVectorX<2>::d x; |
| 413 | |||
| 414 | 2 | RtEiquadprog_status expected = RT_EIQUADPROG_UNBOUNDED; | |
| 415 | |||
| 416 | RtEiquadprog_status status = | ||
| 417 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 418 | |||
| 419 |
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2 | BOOST_WARN_EQUAL(status, expected); |
| 420 |
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2 | BOOST_WARN(status != RT_EIQUADPROG_OPTIMAL); // SHOULD pass! |
| 421 | 2 | } | |
| 422 | |||
| 423 | // min -||x||^2 | ||
| 424 | // s.t. | ||
| 425 | // 0<= x[0] <= 1 | ||
| 426 | // 0<= x[1] <= 1 | ||
| 427 | // DOES NOT WORK! | ||
| 428 | |||
| 429 |
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4 | BOOST_AUTO_TEST_CASE(test_nonconvex) { |
| 430 |
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2 | RtEiquadprog<2, 0, 4> qp; |
| 431 | |||
| 432 |
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2 | RtMatrixX<2, 2>::d Q; |
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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; |
| 436 | |||
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2 | RtVectorX<2>::d C; |
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2 | C.setZero(); |
| 439 | |||
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2 | RtMatrixX<0, 2>::d Aeq; |
| 441 | |||
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2 | RtVectorX<0>::d Beq; |
| 443 | |||
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2 | RtMatrixX<4, 2>::d Aineq(4, 2); |
| 445 |
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2 | Aineq.setZero(); |
| 446 |
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2 | Aineq(0, 0) = 1.; |
| 447 |
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2 | Aineq(1, 0) = -1.; |
| 448 |
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2 | Aineq(2, 1) = 1.; |
| 449 |
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2 | Aineq(3, 1) = -1.; |
| 450 | |||
| 451 |
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2 | RtVectorX<4>::d Bineq; |
| 452 |
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2 | Bineq(0) = 0.; |
| 453 |
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2 | Bineq(1) = 1.; |
| 454 |
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2 | Bineq(2) = 0.; |
| 455 |
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2 | Bineq(3) = 1.; |
| 456 | |||
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2 | RtVectorX<2>::d x; |
| 458 | |||
| 459 |
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2 | RtVectorX<2>::d solution; |
| 460 |
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2 | solution(0) = 1.; |
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2 | solution(1) = 1.; |
| 462 | |||
| 463 | 2 | double val = -1.; | |
| 464 | |||
| 465 | 2 | RtEiquadprog_status expected = RT_EIQUADPROG_OPTIMAL; | |
| 466 | |||
| 467 | RtEiquadprog_status status = | ||
| 468 |
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2 | qp.solve_quadprog(Q, C, Aeq, Beq, Aineq, Bineq, x); |
| 469 | |||
| 470 |
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2 | BOOST_CHECK_EQUAL(status, expected); |
| 471 | |||
| 472 |
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2 | BOOST_WARN_CLOSE(qp.getObjValue(), val, 1e-6); |
| 473 | |||
| 474 |
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2 | BOOST_WARN(x.isApprox(solution)); |
| 475 | 2 | } | |
| 476 | |||
| 477 | BOOST_AUTO_TEST_SUITE_END() | ||
| 478 |