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- #include <iostream>
- #include <sophus/se2.hpp>
- #include <unsupported/Eigen/MatrixFunctions>
- #include "tests.hpp"
- // Explicit instantiate all class templates so that all member methods
- // get compiled and for code coverage analysis.
- namespace Eigen {
- template class Map<Sophus::SE2<double>>;
- template class Map<Sophus::SE2<double> const>;
- } // namespace Eigen
- namespace Sophus {
- template class SE2<double, Eigen::AutoAlign>;
- template class SE2<double, Eigen::DontAlign>;
- #if SOPHUS_CERES
- template class SE2<ceres::Jet<double, 3>>;
- #endif
- template <class Scalar>
- class Tests {
- public:
- using SE2Type = SE2<Scalar>;
- using SO2Type = SO2<Scalar>;
- using Point = typename SE2<Scalar>::Point;
- using Tangent = typename SE2<Scalar>::Tangent;
- Scalar const kPi = Constants<Scalar>::pi();
- Tests() {
- se2_vec_.push_back(
- SE2Type(SO2Type(Scalar(0.0)), Point(Scalar(0), Scalar(0))));
- se2_vec_.push_back(
- SE2Type(SO2Type(Scalar(0.2)), Point(Scalar(10), Scalar(0))));
- se2_vec_.push_back(
- SE2Type(SO2Type(Scalar(0.)), Point(Scalar(0), Scalar(100))));
- se2_vec_.push_back(
- SE2Type(SO2Type(Scalar(-1.)), Point(Scalar(20), -Scalar(1))));
- se2_vec_.push_back(
- SE2Type(SO2Type(Scalar(0.00001)),
- Point(Scalar(-0.00000001), Scalar(0.0000000001))));
- se2_vec_.push_back(
- SE2Type(SO2Type(Scalar(0.2)), Point(Scalar(0), Scalar(0))) *
- SE2Type(SO2Type(kPi), Point(Scalar(0), Scalar(0))) *
- SE2Type(SO2Type(Scalar(-0.2)), Point(Scalar(0), Scalar(0))));
- se2_vec_.push_back(
- SE2Type(SO2Type(Scalar(0.3)), Point(Scalar(2), Scalar(0))) *
- SE2Type(SO2Type(kPi), Point(Scalar(0), Scalar(0))) *
- SE2Type(SO2Type(Scalar(-0.3)), Point(Scalar(0), Scalar(6))));
- Tangent tmp;
- tmp << Scalar(0), Scalar(0), Scalar(0);
- tangent_vec_.push_back(tmp);
- tmp << Scalar(1), Scalar(0), Scalar(0);
- tangent_vec_.push_back(tmp);
- tmp << Scalar(0), Scalar(1), Scalar(1);
- tangent_vec_.push_back(tmp);
- tmp << Scalar(-1), Scalar(1), Scalar(0);
- tangent_vec_.push_back(tmp);
- tmp << Scalar(20), Scalar(-1), Scalar(-1);
- tangent_vec_.push_back(tmp);
- tmp << Scalar(30), Scalar(5), Scalar(20);
- tangent_vec_.push_back(tmp);
- point_vec_.push_back(Point(1, 2));
- point_vec_.push_back(Point(1, -3));
- }
- void runAll() {
- bool passed = testLieProperties();
- passed &= testRawDataAcces();
- passed &= testMutatingAccessors();
- passed &= testConstructors();
- passed &= testFit();
- processTestResult(passed);
- }
- private:
- bool testLieProperties() {
- LieGroupTests<SE2Type> tests(se2_vec_, tangent_vec_, point_vec_);
- return tests.doAllTestsPass();
- }
- bool testRawDataAcces() {
- bool passed = true;
- Eigen::Matrix<Scalar, 4, 1> raw;
- raw << Scalar(0), Scalar(1), Scalar(0), Scalar(3);
- Eigen::Map<SE2Type const> const_se2_map(raw.data());
- SOPHUS_TEST_APPROX(passed, const_se2_map.unit_complex().eval(),
- raw.template head<2>().eval(),
- Constants<Scalar>::epsilon());
- SOPHUS_TEST_APPROX(passed, const_se2_map.translation().eval(),
- raw.template tail<2>().eval(),
- Constants<Scalar>::epsilon());
- SOPHUS_TEST_EQUAL(passed, const_se2_map.unit_complex().data(), raw.data());
- SOPHUS_TEST_EQUAL(passed, const_se2_map.translation().data(),
- raw.data() + 2);
- Eigen::Map<SE2Type const> const_shallow_copy = const_se2_map;
- SOPHUS_TEST_EQUAL(passed, const_shallow_copy.unit_complex().eval(),
- const_se2_map.unit_complex().eval());
- SOPHUS_TEST_EQUAL(passed, const_shallow_copy.translation().eval(),
- const_se2_map.translation().eval());
- Eigen::Matrix<Scalar, 4, 1> raw2;
- raw2 << Scalar(1), Scalar(0), Scalar(3), Scalar(1);
- Eigen::Map<SE2Type> map_of_se3(raw.data());
- map_of_se3.setComplex(raw2.template head<2>());
- map_of_se3.translation() = raw2.template tail<2>();
- SOPHUS_TEST_APPROX(passed, map_of_se3.unit_complex().eval(),
- raw2.template head<2>().eval(),
- Constants<Scalar>::epsilon());
- SOPHUS_TEST_APPROX(passed, map_of_se3.translation().eval(),
- raw2.template tail<2>().eval(),
- Constants<Scalar>::epsilon());
- SOPHUS_TEST_EQUAL(passed, map_of_se3.unit_complex().data(), raw.data());
- SOPHUS_TEST_EQUAL(passed, map_of_se3.translation().data(), raw.data() + 2);
- SOPHUS_TEST_NEQ(passed, map_of_se3.unit_complex().data(), raw2.data());
- Eigen::Map<SE2Type> shallow_copy = map_of_se3;
- SOPHUS_TEST_EQUAL(passed, shallow_copy.unit_complex().eval(),
- map_of_se3.unit_complex().eval());
- SOPHUS_TEST_EQUAL(passed, shallow_copy.translation().eval(),
- map_of_se3.translation().eval());
- Eigen::Map<SE2Type> const const_map_of_se2 = map_of_se3;
- SOPHUS_TEST_EQUAL(passed, const_map_of_se2.unit_complex().eval(),
- map_of_se3.unit_complex().eval());
- SOPHUS_TEST_EQUAL(passed, const_map_of_se2.translation().eval(),
- map_of_se3.translation().eval());
- SE2Type const const_se2(raw2.template head<2>().eval(),
- raw2.template tail<2>().eval());
- for (int i = 0; i < 4; ++i) {
- SOPHUS_TEST_EQUAL(passed, const_se2.data()[i], raw2.data()[i]);
- }
- SE2Type se2(raw2.template head<2>().eval(), raw2.template tail<2>().eval());
- for (int i = 0; i < 4; ++i) {
- SOPHUS_TEST_EQUAL(passed, se2.data()[i], raw2.data()[i]);
- }
- for (int i = 0; i < 4; ++i) {
- SOPHUS_TEST_EQUAL(passed, se2.data()[i], raw.data()[i]);
- }
- SE2Type trans = SE2Type::transX(Scalar(0.2));
- SOPHUS_TEST_APPROX(passed, trans.translation().x(), Scalar(0.2),
- Constants<Scalar>::epsilon());
- trans = SE2Type::transY(Scalar(0.7));
- SOPHUS_TEST_APPROX(passed, trans.translation().y(), Scalar(0.7),
- Constants<Scalar>::epsilon());
- Eigen::Matrix<Scalar, 4, 1> data1, data2;
- data1 << Scalar(0), Scalar(1), Scalar(1), Scalar(2);
- data1 << Scalar(1), Scalar(0), Scalar(2), Scalar(1);
- Eigen::Map<SE2Type> map1(data1.data()), map2(data2.data());
- // map -> map assignment
- map2 = map1;
- SOPHUS_TEST_EQUAL(passed, map1.matrix(), map2.matrix());
- // map -> type assignment
- SE2Type copy;
- copy = map1;
- SOPHUS_TEST_EQUAL(passed, map1.matrix(), copy.matrix());
- // type -> map assignment
- copy = SE2Type::trans(Scalar(4), Scalar(5)) * SE2Type::rot(Scalar(0.5));
- map1 = copy;
- SOPHUS_TEST_EQUAL(passed, map1.matrix(), copy.matrix());
- return passed;
- }
- bool testMutatingAccessors() {
- bool passed = true;
- SE2Type se2;
- SO2Type R(Scalar(0.2));
- se2.setRotationMatrix(R.matrix());
- SOPHUS_TEST_APPROX(passed, se2.rotationMatrix(), R.matrix(),
- Constants<Scalar>::epsilon());
- Eigen::Matrix<Scalar, 4, 1> raw;
- raw << Scalar(1), Scalar(0), Scalar(3), Scalar(1);
- Eigen::Map<SE2Type> map_of_se2(raw.data());
- map_of_se2.setRotationMatrix(R.matrix());
- SOPHUS_TEST_APPROX(passed, map_of_se2.rotationMatrix(), R.matrix(),
- Constants<Scalar>::epsilon());
- return passed;
- }
- bool testConstructors() {
- bool passed = true;
- Matrix3<Scalar> I = Matrix3<Scalar>::Identity();
- SOPHUS_TEST_EQUAL(passed, SE2Type().matrix(), I);
- SE2Type se2 = se2_vec_.front();
- Point translation = se2.translation();
- SO2Type so2 = se2.so2();
- SOPHUS_TEST_APPROX(passed, SE2Type(so2.log(), translation).matrix(),
- se2.matrix(), Constants<Scalar>::epsilon());
- SOPHUS_TEST_APPROX(passed, SE2Type(so2, translation).matrix(), se2.matrix(),
- Constants<Scalar>::epsilon());
- SOPHUS_TEST_APPROX(passed, SE2Type(so2.matrix(), translation).matrix(),
- se2.matrix(), Constants<Scalar>::epsilon());
- SOPHUS_TEST_APPROX(passed,
- SE2Type(so2.unit_complex(), translation).matrix(),
- se2.matrix(), Constants<Scalar>::epsilon());
- SOPHUS_TEST_APPROX(passed, SE2Type(se2.matrix()).matrix(), se2.matrix(),
- Constants<Scalar>::epsilon());
- return passed;
- }
- template <class S = Scalar>
- enable_if_t<std::is_floating_point<S>::value, bool> testFit() {
- bool passed = true;
- for (int i = 0; i < 100; ++i) {
- Matrix3<Scalar> T = Matrix3<Scalar>::Random();
- SE2Type se2 = SE2Type::fitToSE2(T);
- SE2Type se2_2 = SE2Type::fitToSE2(se2.matrix());
- SOPHUS_TEST_APPROX(passed, se2.matrix(), se2_2.matrix(),
- Constants<Scalar>::epsilon());
- }
- return passed;
- }
- template <class S = Scalar>
- enable_if_t<!std::is_floating_point<S>::value, bool> testFit() {
- return true;
- }
- std::vector<SE2Type, Eigen::aligned_allocator<SE2Type>> se2_vec_;
- std::vector<Tangent, Eigen::aligned_allocator<Tangent>> tangent_vec_;
- std::vector<Point, Eigen::aligned_allocator<Point>> point_vec_;
- };
- int test_se2() {
- using std::cerr;
- using std::endl;
- cerr << "Test SE2" << endl << endl;
- cerr << "Double tests: " << endl;
- Tests<double>().runAll();
- cerr << "Float tests: " << endl;
- Tests<float>().runAll();
- #if SOPHUS_CERES
- cerr << "ceres::Jet<double, 3> tests: " << endl;
- Tests<ceres::Jet<double, 3>>().runAll();
- #endif
- return 0;
- }
- } // namespace Sophus
- int main() { return Sophus::test_se2(); }
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