ORB-SLAM3/Thirdparty/Sophus/test/core/test_sim3.cpp

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2023-11-28 16:42:26 +08:00
#include <iostream>
#include <unsupported/Eigen/MatrixFunctions>
#include <sophus/sim3.hpp>
#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::Sim3<double>>;
template class Map<Sophus::Sim3<double> const>;
} // namespace Eigen
namespace Sophus {
template class Sim3<double, Eigen::AutoAlign>;
template class Sim3<float, Eigen::DontAlign>;
#if SOPHUS_CERES
template class Sim3<ceres::Jet<double, 3>>;
#endif
template <class Scalar>
class Tests {
public:
using Sim3Type = Sim3<Scalar>;
using RxSO3Type = RxSO3<Scalar>;
using Point = typename Sim3<Scalar>::Point;
using Vector4Type = Vector4<Scalar>;
using Tangent = typename Sim3<Scalar>::Tangent;
Scalar const kPi = Constants<Scalar>::pi();
Tests() {
sim3_vec_.push_back(
Sim3Type(RxSO3Type::exp(Vector4Type(Scalar(0.2), Scalar(0.5),
Scalar(0.0), Scalar(1.))),
Point(Scalar(0), Scalar(0), Scalar(0))));
sim3_vec_.push_back(
Sim3Type(RxSO3Type::exp(Vector4Type(Scalar(0.2), Scalar(0.5),
Scalar(-1.0), Scalar(1.1))),
Point(Scalar(10), Scalar(0), Scalar(0))));
sim3_vec_.push_back(
Sim3Type(RxSO3Type::exp(Vector4Type(Scalar(0.), Scalar(0.), Scalar(0.),
Scalar(0.))),
Point(Scalar(0), Scalar(10), Scalar(5))));
sim3_vec_.push_back(
Sim3Type(RxSO3Type::exp(Vector4Type(Scalar(0.), Scalar(0.), Scalar(0.),
Scalar(1.1))),
Point(Scalar(0), Scalar(10), Scalar(5))));
sim3_vec_.push_back(
Sim3Type(RxSO3Type::exp(Vector4Type(Scalar(0.), Scalar(0.),
Scalar(0.00001), Scalar(0.))),
Point(Scalar(0), Scalar(0), Scalar(0))));
sim3_vec_.push_back(Sim3Type(
RxSO3Type::exp(Vector4Type(Scalar(0.), Scalar(0.), Scalar(0.00001),
Scalar(0.0000001))),
Point(Scalar(1), Scalar(-1.00000001), Scalar(2.0000000001))));
sim3_vec_.push_back(
Sim3Type(RxSO3Type::exp(Vector4Type(Scalar(0.), Scalar(0.),
Scalar(0.00001), Scalar(0))),
Point(Scalar(0.01), Scalar(0), Scalar(0))));
sim3_vec_.push_back(Sim3Type(
RxSO3Type::exp(Vector4Type(kPi, Scalar(0), Scalar(0), Scalar(0.9))),
Point(Scalar(4), Scalar(-5), Scalar(0))));
sim3_vec_.push_back(
Sim3Type(RxSO3Type::exp(Vector4Type(Scalar(0.2), Scalar(0.5),
Scalar(0.0), Scalar(0))),
Point(Scalar(0), Scalar(0), Scalar(0))) *
Sim3Type(
RxSO3Type::exp(Vector4Type(kPi, Scalar(0), Scalar(0), Scalar(0))),
Point(Scalar(0), Scalar(0), Scalar(0))) *
Sim3Type(RxSO3Type::exp(Vector4Type(Scalar(-0.2), Scalar(-0.5),
Scalar(-0.0), Scalar(0))),
Point(Scalar(0), Scalar(0), Scalar(0))));
sim3_vec_.push_back(
Sim3Type(RxSO3Type::exp(Vector4Type(Scalar(0.3), Scalar(0.5),
Scalar(0.1), Scalar(0))),
Point(Scalar(2), Scalar(0), Scalar(-7))) *
Sim3Type(
RxSO3Type::exp(Vector4Type(kPi, Scalar(0), Scalar(0), Scalar(0))),
Point(Scalar(0), Scalar(0), Scalar(0))) *
Sim3Type(RxSO3Type::exp(Vector4Type(Scalar(-0.3), Scalar(-0.5),
Scalar(-0.1), Scalar(0))),
Point(Scalar(0), Scalar(6), Scalar(0))));
Tangent tmp;
tmp << Scalar(0), Scalar(0), Scalar(0), Scalar(0), Scalar(0), Scalar(0),
Scalar(0);
tangent_vec_.push_back(tmp);
tmp << Scalar(1), Scalar(0), Scalar(0), Scalar(0), Scalar(0), Scalar(0),
Scalar(0);
tangent_vec_.push_back(tmp);
tmp << Scalar(0), Scalar(1), Scalar(0), Scalar(1), Scalar(0), Scalar(0),
Scalar(0.1);
tangent_vec_.push_back(tmp);
tmp << Scalar(0), Scalar(0), Scalar(1), Scalar(0), Scalar(1), Scalar(0),
Scalar(0.1);
tangent_vec_.push_back(tmp);
tmp << Scalar(-1), Scalar(1), Scalar(0), Scalar(0), Scalar(0), Scalar(1),
Scalar(-0.1);
tangent_vec_.push_back(tmp);
tmp << Scalar(20), Scalar(-1), Scalar(0), Scalar(-1), Scalar(1), Scalar(0),
Scalar(-0.1);
tangent_vec_.push_back(tmp);
tmp << Scalar(30), Scalar(5), Scalar(-1), Scalar(20), Scalar(-1), Scalar(0),
Scalar(1.5);
tangent_vec_.push_back(tmp);
point_vec_.push_back(Point(Scalar(1), Scalar(2), Scalar(4)));
point_vec_.push_back(Point(Scalar(1), Scalar(-3), Scalar(0.5)));
}
void runAll() {
bool passed = testLieProperties();
passed &= testRawDataAcces();
passed &= testConstructors();
processTestResult(passed);
}
private:
bool testLieProperties() {
LieGroupTests<Sim3Type> tests(sim3_vec_, tangent_vec_, point_vec_);
return tests.doAllTestsPass();
}
bool testRawDataAcces() {
bool passed = true;
Eigen::Matrix<Scalar, 7, 1> raw;
raw << Scalar(0), Scalar(1), Scalar(0), Scalar(0), Scalar(1), Scalar(3),
Scalar(2);
Eigen::Map<Sim3Type const> map_of_const_sim3(raw.data());
SOPHUS_TEST_APPROX(passed, map_of_const_sim3.quaternion().coeffs().eval(),
raw.template head<4>().eval(),
Constants<Scalar>::epsilon());
SOPHUS_TEST_APPROX(passed, map_of_const_sim3.translation().eval(),
raw.template tail<3>().eval(),
Constants<Scalar>::epsilon());
SOPHUS_TEST_EQUAL(passed, map_of_const_sim3.quaternion().coeffs().data(),
raw.data());
SOPHUS_TEST_EQUAL(passed, map_of_const_sim3.translation().data(),
raw.data() + 4);
Eigen::Map<Sim3Type const> const_shallow_copy = map_of_const_sim3;
SOPHUS_TEST_EQUAL(passed, const_shallow_copy.quaternion().coeffs().eval(),
map_of_const_sim3.quaternion().coeffs().eval());
SOPHUS_TEST_EQUAL(passed, const_shallow_copy.translation().eval(),
map_of_const_sim3.translation().eval());
Eigen::Matrix<Scalar, 7, 1> raw2;
raw2 << Scalar(1), Scalar(0), Scalar(0), Scalar(0), Scalar(3), Scalar(2),
Scalar(1);
Eigen::Map<Sim3Type> map_of_sim3(raw.data());
Eigen::Quaternion<Scalar> quat;
quat.coeffs() = raw2.template head<4>();
map_of_sim3.setQuaternion(quat);
map_of_sim3.translation() = raw2.template tail<3>();
SOPHUS_TEST_APPROX(passed, map_of_sim3.quaternion().coeffs().eval(),
raw2.template head<4>().eval(),
Constants<Scalar>::epsilon());
SOPHUS_TEST_APPROX(passed, map_of_sim3.translation().eval(),
raw2.template tail<3>().eval(),
Constants<Scalar>::epsilon());
SOPHUS_TEST_EQUAL(passed, map_of_sim3.quaternion().coeffs().data(),
raw.data());
SOPHUS_TEST_EQUAL(passed, map_of_sim3.translation().data(), raw.data() + 4);
SOPHUS_TEST_NEQ(passed, map_of_sim3.quaternion().coeffs().data(),
quat.coeffs().data());
Eigen::Map<Sim3Type> shallow_copy = map_of_sim3;
SOPHUS_TEST_EQUAL(passed, shallow_copy.quaternion().coeffs().eval(),
map_of_sim3.quaternion().coeffs().eval());
SOPHUS_TEST_EQUAL(passed, shallow_copy.translation().eval(),
map_of_sim3.translation().eval());
Eigen::Map<Sim3Type> const const_map_of_sim3 = map_of_sim3;
SOPHUS_TEST_EQUAL(passed, const_map_of_sim3.quaternion().coeffs().eval(),
map_of_sim3.quaternion().coeffs().eval());
SOPHUS_TEST_EQUAL(passed, const_map_of_sim3.translation().eval(),
map_of_sim3.translation().eval());
Sim3Type const const_sim3(quat, raw2.template tail<3>().eval());
for (int i = 0; i < 7; ++i) {
SOPHUS_TEST_EQUAL(passed, const_sim3.data()[i], raw2.data()[i]);
}
Sim3Type se3(quat, raw2.template tail<3>().eval());
for (int i = 0; i < 7; ++i) {
SOPHUS_TEST_EQUAL(passed, se3.data()[i], raw2.data()[i]);
}
for (int i = 0; i < 7; ++i) {
SOPHUS_TEST_EQUAL(passed, se3.data()[i], raw.data()[i]);
}
Eigen::Matrix<Scalar, 7, 1> data1, data2;
data1 << Scalar(0), Scalar(2), Scalar(0), Scalar(0),
Scalar(1), Scalar(2), Scalar(3);
data2 << Scalar(0), Scalar(0), Scalar(2), Scalar(0),
Scalar(3), Scalar(2), Scalar(1);
Eigen::Map<Sim3Type> map1(data1.data()), map2(data2.data());
// map -> map assignment
map2 = map1;
SOPHUS_TEST_EQUAL(passed, map1.matrix(), map2.matrix());
// map -> type assignment
Sim3Type copy;
copy = map1;
SOPHUS_TEST_EQUAL(passed, map1.matrix(), copy.matrix());
// type -> map assignment
copy = Sim3Type(RxSO3Type::exp(Vector4Type(Scalar(0.2), Scalar(0.5),
Scalar(-1.0), Scalar(1.1))),
Point(Scalar(10), Scalar(0), Scalar(0)));
map1 = copy;
SOPHUS_TEST_EQUAL(passed, map1.matrix(), copy.matrix());
return passed;
}
bool testConstructors() {
bool passed = true;
Eigen::Matrix<Scalar, 4, 4> I = Eigen::Matrix<Scalar, 4, 4>::Identity();
SOPHUS_TEST_EQUAL(passed, Sim3Type().matrix(), I);
Sim3Type sim3 = sim3_vec_.front();
Point translation = sim3.translation();
RxSO3Type rxso3 = sim3.rxso3();
SOPHUS_TEST_APPROX(passed, Sim3Type(rxso3, translation).matrix(),
sim3.matrix(), Constants<Scalar>::epsilon());
SOPHUS_TEST_APPROX(passed,
Sim3Type(rxso3.quaternion(), translation).matrix(),
sim3.matrix(), Constants<Scalar>::epsilon());
SOPHUS_TEST_APPROX(passed, Sim3Type(sim3.matrix()).matrix(), sim3.matrix(),
Constants<Scalar>::epsilon());
Scalar scale(1.2);
sim3.setScale(scale);
SOPHUS_TEST_APPROX(passed, scale, sim3.scale(),
Constants<Scalar>::epsilon(), "setScale");
sim3.setQuaternion(sim3_vec_[0].rxso3().quaternion());
SOPHUS_TEST_APPROX(passed, sim3_vec_[0].rxso3().quaternion().coeffs(),
sim3_vec_[0].rxso3().quaternion().coeffs(),
Constants<Scalar>::epsilon(), "setQuaternion");
return passed;
}
std::vector<Sim3Type, Eigen::aligned_allocator<Sim3Type>> sim3_vec_;
std::vector<Tangent, Eigen::aligned_allocator<Tangent>> tangent_vec_;
std::vector<Point, Eigen::aligned_allocator<Point>> point_vec_;
};
int test_sim3() {
using std::cerr;
using std::endl;
cerr << "Test Sim3" << 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_sim3(); }