| Directory: | ./ |
|---|---|
| File: | tests/solver-hierarchical-iterative.cc |
| Date: | 2025-05-05 12:19:30 |
| Exec | Total | Coverage | |
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| Lines: | 162 | 165 | 98.2% |
| Branches: | 706 | 1424 | 49.6% |
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| 1 | // Copyright (c) 2017, Joseph Mirabel | ||
| 2 | // Authors: Joseph Mirabel (joseph.mirabel@laas.fr) | ||
| 3 | // | ||
| 4 | |||
| 5 | // Redistribution and use in source and binary forms, with or without | ||
| 6 | // modification, are permitted provided that the following conditions are | ||
| 7 | // met: | ||
| 8 | // | ||
| 9 | // 1. Redistributions of source code must retain the above copyright | ||
| 10 | // notice, this list of conditions and the following disclaimer. | ||
| 11 | // | ||
| 12 | // 2. Redistributions in binary form must reproduce the above copyright | ||
| 13 | // notice, this list of conditions and the following disclaimer in the | ||
| 14 | // documentation and/or other materials provided with the distribution. | ||
| 15 | // | ||
| 16 | // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | ||
| 17 | // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | ||
| 18 | // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR | ||
| 19 | // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT | ||
| 20 | // HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | ||
| 21 | // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT | ||
| 22 | // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, | ||
| 23 | // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY | ||
| 24 | // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | ||
| 25 | // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE | ||
| 26 | // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH | ||
| 27 | // DAMAGE. | ||
| 28 | |||
| 29 | #define BOOST_TEST_MODULE HIERARCHICAL_ITERATIVE_SOLVER | ||
| 30 | #include <../tests/util.hh> | ||
| 31 | #include <boost/make_shared.hpp> | ||
| 32 | #include <boost/test/unit_test.hpp> | ||
| 33 | #include <functional> | ||
| 34 | #include <hpp/constraints/affine-function.hh> | ||
| 35 | #include <hpp/constraints/generic-transformation.hh> | ||
| 36 | #include <hpp/constraints/implicit.hh> | ||
| 37 | #include <hpp/constraints/solver/hierarchical-iterative.hh> | ||
| 38 | #include <hpp/pinocchio/configuration.hh> | ||
| 39 | #include <hpp/pinocchio/device.hh> | ||
| 40 | #include <hpp/pinocchio/joint.hh> | ||
| 41 | #include <hpp/pinocchio/liegroup-space.hh> | ||
| 42 | #include <hpp/pinocchio/simple-device.hh> | ||
| 43 | #include <pinocchio/algorithm/joint-configuration.hpp> | ||
| 44 | |||
| 45 | using namespace hpp::constraints; | ||
| 46 | namespace saturation = hpp::constraints::solver::saturation; | ||
| 47 | |||
| 48 | const value_type test_precision = 1e-5; | ||
| 49 | |||
| 50 | #define VECTOR2(x0, x1) ((hpp::constraints::vector_t(2) << x0, x1).finished()) | ||
| 51 | |||
| 52 | using Eigen::VectorXi; | ||
| 53 | using hpp::pinocchio::LiegroupSpace; | ||
| 54 | |||
| 55 | template <typename LineSearch> | ||
| 56 | struct test_base { | ||
| 57 | solver::HierarchicalIterative solver; | ||
| 58 | LineSearch ls; | ||
| 59 | |||
| 60 |
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12 | test_base(const size_type& d) : solver(LiegroupSpace::Rn(d)) { |
| 61 | 12 | solver.maxIterations(20); | |
| 62 | 12 | solver.errorThreshold(test_precision); | |
| 63 |
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12 | solver.saturation(hpp::make_shared<saturation::Bounds>(vector_t::Zero(2), |
| 64 | vector_t::Ones(2))); | ||
| 65 | 12 | } | |
| 66 | |||
| 67 | 50 | vector_t success(value_type x0, value_type x1) { | |
| 68 |
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100 | vector_t x(VECTOR2(x0, x1)); |
| 69 |
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50 | BOOST_CHECK_EQUAL(solver.solve(x, ls), |
| 70 | solver::HierarchicalIterative::SUCCESS); | ||
| 71 | 50 | return x; | |
| 72 | } | ||
| 73 | |||
| 74 | 1 | vector_t failure(value_type x0, value_type x1) { | |
| 75 |
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2 | vector_t x(VECTOR2(x0, x1)); |
| 76 |
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1 | BOOST_CHECK_PREDICATE( |
| 77 | std::not_equal_to<solver::HierarchicalIterative::Status>(), | ||
| 78 | (solver.solve(x, ls))(solver::HierarchicalIterative::SUCCESS)); | ||
| 79 | 1 | return x; | |
| 80 | } | ||
| 81 | }; | ||
| 82 | |||
| 83 | template <typename LineSearch = solver::lineSearch::Constant> | ||
| 84 | struct test_quadratic : test_base<LineSearch> { | ||
| 85 |
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10 | test_quadratic(const matrix_t& A) : test_base<LineSearch>(A.cols()) { |
| 86 | // Find (x, y) | ||
| 87 | // s.t. a * x^2 + b * y^2 - 1 = 0 | ||
| 88 | // 0 <= x <= 1 | ||
| 89 | // 0 <= y <= 1 | ||
| 90 |
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10 | BOOST_REQUIRE_EQUAL(A.rows(), A.cols()); |
| 91 |
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10 | BOOST_TEST_MESSAGE(A); |
| 92 |
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10 | Quadratic::Ptr_t f(new Quadratic(A, -1)); |
| 93 | |||
| 94 |
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10 | this->solver.add( |
| 95 | Implicit::create( | ||
| 96 |
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20 | f, ComparisonTypes_t(f->outputDerivativeSize(), Equality)), |
| 97 | 20 | 0); | |
| 98 |
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10 | BOOST_CHECK(this->solver.numberStacks() == 1); |
| 99 | 10 | } | |
| 100 | }; | ||
| 101 | |||
| 102 |
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4 | BOOST_AUTO_TEST_CASE(quadratic) { |
| 103 |
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2 | matrix_t A(2, 2); |
| 104 | |||
| 105 |
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2 | A << 1, 0, 0, 1; |
| 106 |
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2 | test_quadratic<> test(A); |
| 107 |
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2 | BOOST_CHECK_EQUAL(test.failure(0, 0), VECTOR2(0, 0)); |
| 108 |
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2 | test.success(0.1, 0); |
| 109 |
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2 | test.success(0, 0.1); |
| 110 |
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2 | test.success(0.5, 0.5); |
| 111 | |||
| 112 |
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2 | A << 2, 0, 0, 2; |
| 113 |
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2 | test = test_quadratic<>(A); |
| 114 |
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2 | test.success(0.1, 0); |
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2 | test.success(0, 0.1); |
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2 | test.success(0.5, 0.5); |
| 117 | |||
| 118 |
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2 | A << 0.5, 0, 0, 0.5; |
| 119 |
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2 | test = test_quadratic<>(A); |
| 120 | // This is exact because of the saturation | ||
| 121 |
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2 | BOOST_CHECK_EQUAL(test.success(1, 0.001), |
| 122 | VECTOR2(1, 1)); // Slide on the border x = 1 | ||
| 123 |
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2 | BOOST_CHECK_EQUAL(test.success(0.001, 1), |
| 124 | VECTOR2(1, 1)); // Slide on the border y = 1 | ||
| 125 | |||
| 126 |
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2 | A << 0.75, 0, 0, 0.75; |
| 127 |
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2 | test_quadratic<solver::lineSearch::FixedSequence> test4(A); |
| 128 | // This is not exact because the solver does not saturate. | ||
| 129 |
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2 | EIGEN_VECTOR_IS_APPROX( |
| 130 | test4.success(1, 0.1), | ||
| 131 | VECTOR2(1., 1 / sqrt(3))); // Slide on the border x = 1 | ||
| 132 |
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2 | EIGEN_VECTOR_IS_APPROX( |
| 133 | test4.success(0.1, 1), | ||
| 134 | VECTOR2(1 / sqrt(3), 1.)); // Slide on the border y = 1 | ||
| 135 | // There is an overshoot. To overcome this, the Hessian of the function should | ||
| 136 | // be obtained. | ||
| 137 |
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2 | EIGEN_VECTOR_IS_NOT_APPROX( |
| 138 | test4.success(1, 0.001), | ||
| 139 | VECTOR2(1., 1 / sqrt(3))); // Slide on the border x = 1 | ||
| 140 |
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2 | EIGEN_VECTOR_IS_NOT_APPROX( |
| 141 | test4.success(0.001, 1), | ||
| 142 | VECTOR2(1 / sqrt(3), 1.)); // Slide on the border y = 1 | ||
| 143 | |||
| 144 | // Ellipsoid: computations are approximative | ||
| 145 |
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2 | A << 0.5, 0, 0, 2; |
| 146 |
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2 | test_quadratic<solver::lineSearch::FixedSequence> test1(A); |
| 147 |
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2 | BOOST_CHECK_EQUAL(test1.success(1, 0.5), |
| 148 | VECTOR2(1., 0.5)); // Slide on the border x = 1 | ||
| 149 |
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2 | EIGEN_VECTOR_IS_APPROX(test1.success(1, 0.1), |
| 150 | VECTOR2(1., 0.5)); // Slide on the border x = 1 | ||
| 151 |
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2 | EIGEN_VECTOR_IS_APPROX(test1.success(0, 1), VECTOR2(0., 1 / sqrt(2))); |
| 152 | 2 | } | |
| 153 | |||
| 154 |
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4 | BOOST_AUTO_TEST_CASE(one_layer) { |
| 155 | DevicePtr_t device = hpp::pinocchio::unittest::makeDevice( | ||
| 156 |
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4 | hpp::pinocchio::unittest::HumanoidSimple); |
| 157 |
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2 | BOOST_REQUIRE(device); |
| 158 |
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2 | device->rootJoint()->lowerBound(0, -1); |
| 159 |
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2 | device->rootJoint()->lowerBound(1, -1); |
| 160 |
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2 | device->rootJoint()->lowerBound(2, -1); |
| 161 |
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2 | device->rootJoint()->upperBound(0, 1); |
| 162 |
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2 | device->rootJoint()->upperBound(1, 1); |
| 163 |
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2 | device->rootJoint()->upperBound(2, 1); |
| 164 |
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4 | JointPtr_t ee1 = device->getJointByName("lleg5_joint"), |
| 165 |
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4 | ee2 = device->getJointByName("rleg5_joint"); |
| 166 | |||
| 167 |
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2 | Configuration_t q = device->currentConfiguration(), |
| 168 |
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2 | qrand = ::pinocchio::randomConfiguration(device->model()); |
| 169 | |||
| 170 |
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2 | solver::HierarchicalIterative solver(device->configSpace()); |
| 171 | 2 | solver.maxIterations(20); | |
| 172 | 2 | solver.errorThreshold(1e-3); | |
| 173 |
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2 | solver.saturation(hpp::make_shared<solver::saturation::Device>(device)); |
| 174 | |||
| 175 |
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2 | device->currentConfiguration(q); |
| 176 |
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2 | device->computeForwardKinematics(hpp::pinocchio::JOINT_POSITION); |
| 177 |
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2 | Transform3s tf1(ee1->currentTransformation()); |
| 178 |
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2 | Transform3s tf2(ee2->currentTransformation()); |
| 179 | |||
| 180 | ImplicitPtr_t constraint(Implicit::create( | ||
| 181 |
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4 | Orientation::create("Orientation", device, ee2, tf2), 3 * Equality)); |
| 182 |
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2 | BOOST_CHECK(constraint->comparisonType() == 3 * Equality); |
| 183 |
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2 | solver.add(constraint, 0); |
| 184 |
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8 | constraint = Implicit::create(Position::create("Position", device, ee2, tf2), |
| 185 | 6 | 3 * Equality); | |
| 186 |
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2 | BOOST_CHECK(constraint->comparisonType() == 3 * Equality); |
| 187 |
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2 | solver.add(constraint, 0); |
| 188 | |||
| 189 |
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2 | BOOST_CHECK(solver.numberStacks() == 1); |
| 190 | |||
| 191 |
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2 | BOOST_CHECK(solver.isSatisfied(q)); |
| 192 | |||
| 193 |
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2 | Configuration_t tmp = qrand; |
| 194 |
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2 | BOOST_CHECK_EQUAL(solver.solve<solver::lineSearch::Backtracking>(qrand), |
| 195 | solver::HierarchicalIterative::SUCCESS); | ||
| 196 |
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2 | qrand = tmp; |
| 197 |
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2 | BOOST_CHECK_EQUAL(solver.solve<solver::lineSearch::ErrorNormBased>(qrand), |
| 198 | solver::HierarchicalIterative::SUCCESS); | ||
| 199 |
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2 | qrand = tmp; |
| 200 |
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2 | BOOST_CHECK_EQUAL(solver.solve<solver::lineSearch::FixedSequence>(qrand), |
| 201 | solver::HierarchicalIterative::SUCCESS); | ||
| 202 | 2 | } | |
| 203 | |||
| 204 | template <typename LineSearch = solver::lineSearch::Constant> | ||
| 205 | struct test_affine_opt : test_base<LineSearch> { | ||
| 206 | 1 | test_affine_opt(const matrix_t& A, const matrix_t& B) | |
| 207 |
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1 | : test_base<LineSearch>(A.cols()) { |
| 208 | // min X^T * B * X | ||
| 209 | // s.t. A * X - 1 = 0 | ||
| 210 | // 0 <= X <= 1 | ||
| 211 |
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1 | BOOST_REQUIRE_EQUAL(A.cols(), B.cols()); |
| 212 |
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1 | BOOST_REQUIRE_EQUAL(A.rows(), 1); |
| 213 |
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1 | BOOST_TEST_MESSAGE(A); |
| 214 |
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1 | BOOST_TEST_MESSAGE(B); |
| 215 |
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2 | AffineFunctionPtr_t f(AffineFunction::create(A, vector_t::Constant(1, -1))); |
| 216 |
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1 | Quadratic::Ptr_t cost(new Quadratic(B)); |
| 217 |
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3 | ImplicitPtr_t f_constraint(Implicit::create( |
| 218 |
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2 | f, ComparisonTypes_t(f->outputDerivativeSize(), Equality))); |
| 219 |
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3 | ImplicitPtr_t cost_constraint(Implicit::create( |
| 220 |
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2 | cost, ComparisonTypes_t(f->outputDerivativeSize(), Equality))); |
| 221 |
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1 | this->solver.add(f_constraint, 0); |
| 222 |
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1 | this->solver.add(cost_constraint, 1); |
| 223 | // this->solver.add(cost, 0); | ||
| 224 | 1 | this->solver.lastIsOptional(true); | |
| 225 |
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1 | BOOST_CHECK(this->solver.numberStacks() == 2); |
| 226 | 1 | } | |
| 227 | |||
| 228 | 6 | vector_t optimize(value_type x0, value_type x1) { | |
| 229 |
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12 | vector_t x(VECTOR2(x0, x1)); |
| 230 | 6 | this->solver.lastIsOptional(false); | |
| 231 |
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6 | this->solver.solve(x, this->ls); |
| 232 | 6 | this->solver.lastIsOptional(true); | |
| 233 | 6 | return x; | |
| 234 | } | ||
| 235 | }; | ||
| 236 | |||
| 237 |
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4 | BOOST_AUTO_TEST_CASE(affine_opt) { |
| 238 |
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2 | matrix_t A(1, 2); |
| 239 |
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2 | A << 1, 1; |
| 240 |
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2 | matrix_t B(2, 2); |
| 241 |
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2 | B << 1, 0, 0, 1; |
| 242 | |||
| 243 |
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2 | test_affine_opt<> test(A, B); |
| 244 |
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2 | test.success(0, 0); |
| 245 |
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2 | test.success(0.1, 0); |
| 246 |
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2 | test.success(0, 0.1); |
| 247 |
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2 | test.success(0.5, 0.5); |
| 248 | |||
| 249 |
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2 | EIGEN_VECTOR_IS_APPROX(test.optimize(0.1, 0), VECTOR2(0.5, 0.5)); |
| 250 |
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2 | EIGEN_VECTOR_IS_APPROX(test.optimize(0, 0.1), VECTOR2(0.5, 0.5)); |
| 251 |
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2 | EIGEN_VECTOR_IS_APPROX(test.optimize(0.5, 0.5), VECTOR2(0.5, 0.5)); |
| 252 | 2 | } | |
| 253 | |||
| 254 | // build an implicit constraint with values in SE3 and with non trivial mask | ||
| 255 |
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4 | BOOST_AUTO_TEST_CASE(mask) { |
| 256 | struct Identity : public DifferentiableFunction { | ||
| 257 | 2 | static DifferentiableFunctionPtr_t create() { | |
| 258 |
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2 | return DifferentiableFunctionPtr_t(new Identity()); |
| 259 | } | ||
| 260 |
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2 | Identity() : DifferentiableFunction(7, 6, LiegroupSpace::R3xSO3()) {} |
| 261 | 4 | virtual void impl_compute(LiegroupElementRef result, | |
| 262 | vectorIn_t argument) const { | ||
| 263 | 4 | result.vector() = argument; | |
| 264 | } | ||
| 265 | |||
| 266 | ✗ | virtual void impl_jacobian(matrixOut_t jacobian, vectorIn_t) const { | |
| 267 | ✗ | jacobian.setIdentity(); | |
| 268 | } | ||
| 269 | |||
| 270 | 14 | bool isEqual(const DifferentiableFunction& other) const { | |
| 271 |
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14 | dynamic_cast<const Identity&>(other); |
| 272 |
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14 | if (!DifferentiableFunction::isEqual(other)) return false; |
| 273 | |||
| 274 | 14 | return true; | |
| 275 | } | ||
| 276 | }; // class Identity | ||
| 277 |
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2 | solver::HierarchicalIterative solver(LiegroupSpace::R3xSO3()); |
| 278 | 2 | solver.maxIterations(20); | |
| 279 | 2 | solver.errorThreshold(1e-10); | |
| 280 |
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2 | std::vector<bool> mask{true, true, false, false, false, true}; |
| 281 |
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4 | ImplicitPtr_t c1(Implicit::create(Identity::create(), 6 * Equality, mask)); |
| 282 |
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4 | ImplicitPtr_t c2(Implicit::create(Identity::create(), 6 * Equality, mask)); |
| 283 |
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2 | solver.add(c1, 0); |
| 284 | try { | ||
| 285 |
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2 | solver.add(c2, 0); |
| 286 | ✗ | BOOST_CHECK(false); | |
| 287 |
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2 | } catch (const std::logic_error& err) { |
| 288 |
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2 | BOOST_CHECK(std::string(err.what()) == |
| 289 | std::string("Contraint \"\" already in solver")); | ||
| 290 | 2 | } | |
| 291 |
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2 | vector_t q(7); |
| 292 |
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2 | q << 1, 2, 3, .5, .5, .5, .5; |
| 293 |
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2 | solver.rightHandSideFromConfig(q); |
| 294 | bool found; | ||
| 295 |
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2 | vector_t error(6); |
| 296 |
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2 | std::cout << "q=" << q.transpose() << std::endl; |
| 297 |
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2 | BOOST_CHECK(solver.isSatisfied(q)); |
| 298 |
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2 | BOOST_CHECK(solver.isConstraintSatisfied(c1, q, error, found)); |
| 299 |
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2 | std::cout << "error=" << error.transpose() << std::endl; |
| 300 |
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2 | BOOST_CHECK(found); |
| 301 |
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2 | BOOST_CHECK(error.norm() < 1e-10); |
| 302 |
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2 | std::cout << solver << std::endl; |
| 303 |
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2 | q << 0, 0, 0, 0, 0, 0, 1; |
| 304 |
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2 | std::cout << "q=" << q.transpose() << std::endl; |
| 305 |
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2 | BOOST_CHECK(!solver.isConstraintSatisfied(c1, q, error, found)); |
| 306 |
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2 | std::cout << "error=" << error.transpose() << std::endl; |
| 307 | 2 | } | |
| 308 |