| Directory: | ./ |
|---|---|
| File: | tests/liegroup-element.cc |
| Date: | 2025-05-04 12:09:19 |
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| Lines: | 220 | 221 | 99.5% |
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| 1 | // Copyright (c) 2017-2018, CNRS | ||
| 2 | // Authors: Florent Lamiraux | ||
| 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 tframe | ||
| 30 | |||
| 31 | // Specific to CLANG to remove bad C99-extensions warning | ||
| 32 | #if __clang__ | ||
| 33 | #include <boost/variant.hpp> | ||
| 34 | #endif | ||
| 35 | |||
| 36 | #include <boost/archive/xml_iarchive.hpp> | ||
| 37 | #include <boost/archive/xml_oarchive.hpp> | ||
| 38 | #include <boost/assign/list_of.hpp> | ||
| 39 | #include <boost/test/unit_test.hpp> | ||
| 40 | #include <hpp/pinocchio/liegroup-element.hh> | ||
| 41 | #include <hpp/pinocchio/serialization.hh> | ||
| 42 | #include <sstream> | ||
| 43 | |||
| 44 | using boost::assign::list_of; | ||
| 45 | using hpp::pinocchio::LiegroupElement; | ||
| 46 | using hpp::pinocchio::LiegroupElementConstRef; | ||
| 47 | using hpp::pinocchio::LiegroupElementRef; | ||
| 48 | using hpp::pinocchio::LiegroupSpace; | ||
| 49 | using hpp::pinocchio::LiegroupSpaceConstPtr_t; | ||
| 50 | using hpp::pinocchio::LiegroupSpacePtr_t; | ||
| 51 | using hpp::pinocchio::LiegroupType; | ||
| 52 | using hpp::pinocchio::size_type; | ||
| 53 | using hpp::pinocchio::value_type; | ||
| 54 | using hpp::pinocchio::vector_t; | ||
| 55 | |||
| 56 | 200 | static bool sameR3xSO3(const LiegroupElement& e1, const LiegroupElement& e2, | |
| 57 | const value_type& eps) { | ||
| 58 |
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200 | vector_t u1(e1.vector()), u2(e2.vector()); |
| 59 |
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200 | if ((u2 - u1).norm() < eps) return true; |
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49 | u2.tail<4>() *= -1; |
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49 | if ((u2 - u1).norm() < eps) return true; |
| 62 | ✗ | return false; | |
| 63 | 200 | } | |
| 64 | |||
| 65 | 1 | void cast_into_LiegroupElementRef(LiegroupElementRef ref, | |
| 66 | const LiegroupElement& u) { | ||
| 67 |
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1 | BOOST_CHECK_EQUAL(ref.vector(), u.vector()); |
| 68 |
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1 | BOOST_CHECK_EQUAL(ref.vector().data(), u.vector().data()); |
| 69 | 1 | } | |
| 70 | |||
| 71 | 1 | void cast_into_LiegroupElementConstRef(LiegroupElementConstRef ref, | |
| 72 | const LiegroupElement& u) { | ||
| 73 |
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1 | BOOST_CHECK_EQUAL(ref.vector(), u.vector()); |
| 74 |
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1 | BOOST_CHECK_EQUAL(ref.vector().data(), u.vector().data()); |
| 75 | 1 | } | |
| 76 | |||
| 77 |
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4 | BOOST_AUTO_TEST_CASE(casting) { |
| 78 | 2 | size_type n(10); | |
| 79 |
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2 | vector_t u(vector_t::Ones(n)); |
| 80 |
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2 | LiegroupElement e(u); |
| 81 | |||
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2 | cast_into_LiegroupElementRef(e, e); |
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2 | cast_into_LiegroupElementConstRef(e, e); |
| 84 | |||
| 85 | // Test assignment operator | ||
| 86 |
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2 | e = vector_t::Zero(n); |
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2 | e = LiegroupSpace::R2()->element(vector_t::Ones(2)); |
| 88 | 2 | } | |
| 89 | |||
| 90 | // Test that operator+ and operator- behave as expected for vector spaces | ||
| 91 |
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4 | BOOST_AUTO_TEST_CASE(testVectorSpace) { |
| 92 | // Test vectors | ||
| 93 | 2 | size_type n(10); | |
| 94 |
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2 | vector_t u1(n), u2(n); |
| 95 | |||
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202 | for (std::size_t i = 0; i < 100; ++i) { |
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200 | u1.setRandom(); |
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200 | u2.setRandom(); |
| 99 | |||
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200 | vector_t sum(u1 + u2); |
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200 | vector_t diff(u1 - u2); |
| 102 | |||
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200 | LiegroupElement e1(u1), e2(u2); |
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200 | BOOST_CHECK(e1.space()->nq() == n); |
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200 | BOOST_CHECK(e1.space()->nv() == n); |
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200 | BOOST_CHECK(e1.space()->nq(0) == n); |
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200 | BOOST_CHECK(e1.space()->nv(0) == n); |
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200 | BOOST_CHECK(e1.vector().rows() == n); |
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200 | BOOST_CHECK(e1.vector().rows() == n); |
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200 | BOOST_CHECK((e1 + u2).vector().size() == n); |
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200 | BOOST_CHECK((e1 - e2).size() == n); |
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200 | BOOST_CHECK(((e1 + u2).vector() - sum).norm() < 1e-10); |
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200 | BOOST_CHECK(((e1 - e2) - diff).norm() < 1e-10); |
| 114 | 200 | } | |
| 115 | 2 | } | |
| 116 | |||
| 117 | // Test a combination of R^3 and SO3 | ||
| 118 |
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4 | BOOST_AUTO_TEST_CASE(testR3SO3) { |
| 119 |
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2 | vector_t u1(7), u3(7); |
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2 | vector_t velocity(6); |
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2 | LiegroupSpacePtr_t R3xSO3(LiegroupSpace::R3xSO3()); |
| 122 | |||
| 123 | // Test sizes | ||
| 124 |
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2 | BOOST_CHECK(R3xSO3->nq() == 7); |
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2 | BOOST_CHECK(R3xSO3->nv() == 6); |
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2 | BOOST_CHECK(R3xSO3->nq(0) == 7); |
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2 | BOOST_CHECK(R3xSO3->nv(0) == 6); |
| 128 | // Test operator== | ||
| 129 |
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2 | BOOST_CHECK(*(R3xSO3) == *(R3xSO3)); |
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2 | vector_t neutral(7); |
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2 | neutral << 0, 0, 0, 0, 0, 0, 1; |
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2 | BOOST_CHECK(R3xSO3->neutral().vector() == neutral); |
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2 | LiegroupElement e(R3xSO3); |
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2 | e.setNeutral(); |
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2 | BOOST_CHECK(e.vector() == neutral); |
| 136 | |||
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202 | for (std::size_t i = 0; i < 100; ++i) { |
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200 | u1.setRandom(); |
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200 | u3.setRandom(); |
| 140 | |||
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200 | u1.tail<4>().normalize(); |
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200 | u3.tail<4>().normalize(); |
| 143 | |||
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200 | LiegroupElement e1(u1, R3xSO3); |
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200 | velocity.setRandom(); |
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400 | LiegroupElement e2(e1 + velocity); |
| 148 | |||
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200 | BOOST_CHECK(((e2 - e1) - velocity).norm() < 1e-10); |
| 150 | |||
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200 | LiegroupElement e3(u3, R3xSO3); |
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200 | velocity = e3 - e1; |
| 153 | |||
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200 | BOOST_CHECK(sameR3xSO3(e1 + velocity, e3, 1e-10)); |
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200 | e2 = e1 + velocity; |
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200 | e3 = e2 + (-velocity); |
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200 | BOOST_CHECK(sameR3xSO3(e1, e3, 1e-10)); |
| 160 | 200 | } | |
| 161 | |||
| 162 | // Test rotation around frame axes from unit quaternion. | ||
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2 | vector_t u5(7); |
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2 | vector_t res(7); |
| 165 | |||
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2 | u5 << 0, 0, 0, 0, 0, 0, 1; |
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2 | res << 0, 0, 0, sqrt(2) / 2, 0, 0, sqrt(2) / 2; |
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2 | velocity.setZero(); |
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2 | velocity[3] = M_PI / 2; |
| 170 | |||
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2 | LiegroupElement e5(u5, R3xSO3); |
| 172 | |||
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4 | LiegroupElement e6(e5 + velocity); |
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2 | BOOST_CHECK((e6.vector() - res).norm() < 1e-10); |
| 175 | |||
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2 | res << 0, 0, 0, 0, sqrt(2) / 2, 0, sqrt(2) / 2; |
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2 | velocity.setZero(); |
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2 | velocity[4] = M_PI / 2; |
| 179 | |||
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2 | e5 = LiegroupElement(u5, R3xSO3); |
| 181 | |||
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2 | e6 = e5 + velocity; |
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2 | BOOST_CHECK((e6.vector() - res).norm() < 1e-10); |
| 184 | 2 | } | |
| 185 | |||
| 186 |
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4 | BOOST_AUTO_TEST_CASE(comparison) { |
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2 | BOOST_CHECK(*(LiegroupSpace::Rn(3)) == *(LiegroupSpace::R3())); |
| 188 |
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2 | BOOST_CHECK(*(LiegroupSpace::Rn(2)) == *(LiegroupSpace::R2())); |
| 189 |
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2 | BOOST_CHECK(*(LiegroupSpace::Rn(1)) == *(LiegroupSpace::R1())); |
| 190 |
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2 | BOOST_CHECK(*(LiegroupSpace::R2xSO2()) == *(LiegroupSpace::R2xSO2())); |
| 191 |
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2 | BOOST_CHECK(*(LiegroupSpace::R3xSO3()) == *(LiegroupSpace::R3xSO3())); |
| 192 | |||
| 193 |
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2 | BOOST_CHECK(*(LiegroupSpace::Rn(3)) != *(LiegroupSpace::R2())); |
| 194 |
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2 | BOOST_CHECK(*(LiegroupSpace::R2()) != *(LiegroupSpace::Rn(3))); |
| 195 |
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2 | BOOST_CHECK(*(LiegroupSpace::Rn(3)) != *(LiegroupSpace::Rn(2))); |
| 196 |
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2 | BOOST_CHECK(*(LiegroupSpace::Rn(2)) != *(LiegroupSpace::Rn(3))); |
| 197 |
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2 | BOOST_CHECK(*(LiegroupSpace::R2xSO2()) != *(LiegroupSpace::R3xSO3())); |
| 198 |
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2 | BOOST_CHECK(*(LiegroupSpace::R3xSO3()) != *(LiegroupSpace::R2xSO2())); |
| 199 |
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2 | BOOST_CHECK(*(LiegroupSpace::R3xSO3()) != *(LiegroupSpace::R3())); |
| 200 |
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2 | BOOST_CHECK(*(LiegroupSpace::R3()) != *(LiegroupSpace::R3xSO3())); |
| 201 |
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2 | BOOST_CHECK(*(LiegroupSpace::R3xSO3()) != *(LiegroupSpace::Rn(3))); |
| 202 |
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2 | BOOST_CHECK(*(LiegroupSpace::Rn(3)) != *(LiegroupSpace::R3xSO3())); |
| 203 |
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2 | BOOST_CHECK(*(LiegroupSpace::R2xSO2()) != *(LiegroupSpace::Rn(3))); |
| 204 |
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2 | BOOST_CHECK(*(LiegroupSpace::Rn(3)) != *(LiegroupSpace::R2xSO2())); |
| 205 |
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2 | BOOST_CHECK(*(LiegroupSpace::R2xSO2()) != *(LiegroupSpace::Rn(2))); |
| 206 |
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2 | BOOST_CHECK(*(LiegroupSpace::Rn(2)) != *(LiegroupSpace::R2xSO2())); |
| 207 | |||
| 208 |
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2 | BOOST_CHECK(LiegroupSpace::R1()->isVectorSpace()); |
| 209 |
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2 | BOOST_CHECK(LiegroupSpace::R2()->isVectorSpace()); |
| 210 |
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2 | BOOST_CHECK(LiegroupSpace::R3()->isVectorSpace()); |
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2 | BOOST_CHECK(LiegroupSpace::Rn(4)->isVectorSpace()); |
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2 | BOOST_CHECK(LiegroupSpace::empty()->isVectorSpace()); |
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2 | BOOST_CHECK(!LiegroupSpace::SE2()->isVectorSpace()); |
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2 | BOOST_CHECK(!LiegroupSpace::SE3()->isVectorSpace()); |
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2 | BOOST_CHECK(!LiegroupSpace::R2xSO2()->isVectorSpace()); |
| 216 |
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2 | BOOST_CHECK(!LiegroupSpace::R3xSO3()->isVectorSpace()); |
| 217 | 2 | } | |
| 218 | |||
| 219 |
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4 | BOOST_AUTO_TEST_CASE(multiplication) { |
| 220 |
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4 | LiegroupSpacePtr_t sp(LiegroupSpace::Rn(0) * LiegroupSpace::Rn(10) * |
| 221 |
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8 | LiegroupSpace::R3() * LiegroupSpace::R3xSO3()); |
| 222 |
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2 | vector_t n; |
| 223 |
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2 | n.resize(20); |
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2 | n.setZero(); |
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2 | n[19] = 1; |
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2 | BOOST_CHECK_EQUAL(sp->nq(), 20); |
| 227 |
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2 | BOOST_CHECK_EQUAL(sp->nv(), 19); |
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2 | BOOST_CHECK_EQUAL(sp->liegroupTypes().size(), 2); |
| 229 |
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2 | BOOST_CHECK_EQUAL(sp->nq(0), 13); |
| 230 |
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2 | BOOST_CHECK_EQUAL(sp->nv(0), 13); |
| 231 |
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2 | BOOST_CHECK_EQUAL(sp->nq(1), 7); |
| 232 |
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2 | BOOST_CHECK_EQUAL(sp->nv(1), 6); |
| 233 |
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2 | BOOST_CHECK_EQUAL(sp->name(), "R^13*R^3*SO(3)"); |
| 234 |
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2 | BOOST_CHECK_EQUAL(sp->neutral().vector(), n); |
| 235 |
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2 | BOOST_CHECK_EQUAL(sp->neutral().space(), sp); |
| 236 |
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2 | BOOST_CHECK_EQUAL(sp, sp->neutral().space()); |
| 237 | 2 | } | |
| 238 | |||
| 239 |
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4 | BOOST_AUTO_TEST_CASE(Cartesian_power_1) { |
| 240 |
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2 | LiegroupSpaceConstPtr_t sp1(LiegroupSpace::Rn(10)); |
| 241 |
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2 | LiegroupSpacePtr_t sp2(sp1 ^ 4); |
| 242 | |||
| 243 |
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2 | BOOST_CHECK_EQUAL(sp2->nq(), 40); |
| 244 |
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2 | BOOST_CHECK_EQUAL(sp2->nv(), 40); |
| 245 |
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2 | BOOST_CHECK_EQUAL(sp2->liegroupTypes().size(), 1); |
| 246 |
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2 | BOOST_CHECK_EQUAL(sp2->nq(0), 40); |
| 247 |
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2 | BOOST_CHECK_EQUAL(sp2->nv(0), 40); |
| 248 |
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2 | BOOST_CHECK_EQUAL(sp2->name(), "R^40"); |
| 249 | 2 | } | |
| 250 | |||
| 251 |
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4 | BOOST_AUTO_TEST_CASE(Cartesian_power_2) { |
| 252 |
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4 | LiegroupSpaceConstPtr_t sp1(LiegroupSpace::SE3() * LiegroupSpace::Rn(10)); |
| 253 |
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2 | LiegroupSpacePtr_t sp2(sp1 ^ 6); |
| 254 | |||
| 255 |
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2 | BOOST_CHECK_EQUAL(sp2->nq(), 17 * 6); |
| 256 |
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2 | BOOST_CHECK_EQUAL(sp2->nv(), 16 * 6); |
| 257 |
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2 | BOOST_CHECK_EQUAL(sp2->liegroupTypes().size(), 2 * 6); |
| 258 |
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14 | for (std::size_t i = 0; i < 6; ++i) { |
| 259 |
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12 | BOOST_CHECK_EQUAL(sp2->nq(2 * i), 7); |
| 260 |
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12 | BOOST_CHECK_EQUAL(sp2->nv(2 * i), 6); |
| 261 |
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12 | BOOST_CHECK_EQUAL(sp2->nq(2 * i + 1), 10); |
| 262 |
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12 | BOOST_CHECK_EQUAL(sp2->nv(2 * i + 1), 10); |
| 263 | } | ||
| 264 |
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2 | BOOST_CHECK_EQUAL(sp2->name(), |
| 265 | "SE(3)*R^10*SE(3)*R^10*SE(3)*R^10*" | ||
| 266 | "SE(3)*R^10*SE(3)*R^10*SE(3)*R^10"); | ||
| 267 | 2 | } | |
| 268 | |||
| 269 |
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4 | BOOST_AUTO_TEST_CASE(Cartesian_power_3) { |
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4 | LiegroupSpaceConstPtr_t sp1(LiegroupSpace::SE3() * LiegroupSpace::Rn(10)); |
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2 | LiegroupSpacePtr_t sp2(sp1 ^ 0); |
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2 | LiegroupSpacePtr_t sp3(sp1 ^ 1); |
| 273 | |||
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2 | BOOST_CHECK_EQUAL(*sp1, *sp3); |
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2 | BOOST_CHECK_EQUAL(*sp2, *(LiegroupSpace::empty())); |
| 276 | 2 | } | |
| 277 | |||
| 278 |
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4 | BOOST_AUTO_TEST_CASE(log_) { |
| 279 | 2 | size_type n(10); | |
| 280 |
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2 | vector_t u; |
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2 | u.resize(n); |
| 282 | |||
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202 | for (std::size_t i = 0; i < 100; ++i) { |
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200 | u.setRandom(); |
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400 | LiegroupElement e(u, LiegroupSpace::Rn(n)); |
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200 | BOOST_CHECK(hpp::pinocchio::log(e) == u); |
| 287 | 200 | } | |
| 288 | |||
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4 | LiegroupSpacePtr_t R6xSO3(LiegroupSpace::R3() * LiegroupSpace::R3xSO3()); |
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2 | LiegroupElement e(R6xSO3); |
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2 | e.setNeutral(); |
| 292 | |||
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2 | BOOST_CHECK(R6xSO3->nq() == 10); |
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2 | BOOST_CHECK(R6xSO3->nv() == 9); |
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2 | BOOST_CHECK(R6xSO3->nq(0) == 3); |
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2 | BOOST_CHECK(R6xSO3->nv(0) == 3); |
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2 | BOOST_CHECK(R6xSO3->nq(1) == 7); |
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2 | BOOST_CHECK(R6xSO3->nv(1) == 6); |
| 299 | |||
| 300 |
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2 | BOOST_CHECK((hpp::pinocchio::log(e).isZero(1e-10))); |
| 301 | 2 | } | |
| 302 | |||
| 303 | template <typename base_archive = boost::archive::xml_oarchive> | ||
| 304 | struct oarchive : base_archive, | ||
| 305 | hpp::serialization::remove_duplicate::vector_archive { | ||
| 306 | 12 | oarchive(std::ostream& is) : base_archive(is) {} | |
| 307 | }; | ||
| 308 | |||
| 309 | 12 | void test_serialization(LiegroupSpacePtr_t space) { | |
| 310 |
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12 | LiegroupElement e(space); |
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12 | e.setNeutral(); |
| 312 | |||
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12 | std::stringstream ss; |
| 314 | { | ||
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12 | oarchive<boost::archive::xml_oarchive> oa(ss); |
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12 | oa << boost::serialization::make_nvp("element", e); |
| 317 | 12 | } | |
| 318 | |||
| 319 |
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12 | BOOST_TEST_MESSAGE(ss.str()); |
| 320 | |||
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12 | LiegroupElement e2; |
| 322 | { | ||
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12 | boost::archive::xml_iarchive ia(ss); |
| 324 |
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12 | ia >> boost::serialization::make_nvp("element", e2); |
| 325 | 12 | } | |
| 326 | |||
| 327 |
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12 | BOOST_CHECK_EQUAL(*e.space(), *e2.space()); |
| 328 |
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12 | BOOST_CHECK(e.vector() == e2.vector()); |
| 329 | 12 | } | |
| 330 | |||
| 331 |
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4 | BOOST_AUTO_TEST_CASE(serialization) { |
| 332 |
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2 | test_serialization(LiegroupSpace::R1()); |
| 333 |
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2 | test_serialization(LiegroupSpace::R2()); |
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2 | test_serialization(LiegroupSpace::R3()); |
| 335 |
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2 | test_serialization(LiegroupSpace::Rn(4)); |
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2 | test_serialization(LiegroupSpace::SO2()); |
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2 | test_serialization(LiegroupSpace::SO3()); |
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2 | test_serialization(LiegroupSpace::SE2()); |
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2 | test_serialization(LiegroupSpace::SE3()); |
| 340 |
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2 | test_serialization(LiegroupSpace::R2xSO2()); |
| 341 |
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2 | test_serialization(LiegroupSpace::R3xSO3()); |
| 342 |
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2 | test_serialization(LiegroupSpace::R3() * LiegroupSpace::R3xSO3()); |
| 343 |
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2 | test_serialization(LiegroupSpace::R3() * LiegroupSpace::R3xSO3()); |
| 344 | 2 | } | |
| 345 |