testMagPoseFactor.cpp

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/* ----------------------------------------------------------------------------
 
 * GTSAM Copyright 2010, Georgia Tech Research Corporation,
 * Atlanta, Georgia 30332-0415
 * All Rights Reserved
 * Authors: Frank Dellaert, et al. (see THANKS for the full author list)
 
 * See LICENSE for the license information
 
 * -------------------------------------------------------------------------- */
 
#include <CppUnitLite/TestHarness.h>
#include <gtsam/base/numericalDerivative.h>
#include <gtsam/base/TestableAssertions.h>
#include <gtsam/geometry/Pose2.h>
#include <gtsam/geometry/Pose3.h>
#include <gtsam/inference/Symbol.h>
#include <gtsam/navigation/MagPoseFactor.h>
 
using namespace std::placeholders;
using namespace gtsam;
 
namespace {
// Magnetic field in the nav frame (NED), with units of nT.
Point3 nM(22653.29982, -1956.83010, 44202.47862);
 
// Assumed scale factor (scales a unit vector to magnetometer units of nT).
double scale = 255.0 / 50000.0;
 
// Ground truth Pose2/Pose3 in the nav frame.
Pose3 n_P3_b = Pose3(Rot3::Yaw(-0.1), Point3(-3, 12, 5));
Pose2 n_P2_b = Pose2(Rot2(-0.1), Point2(-3, 12));
Rot3 n_R3_b = n_P3_b.rotation();
Rot2 n_R2_b = n_P2_b.rotation();
 
// Sensor bias (nT).
Point3 bias3(10, -10, 50);
Point2 bias2 = bias3.head(2);
 
Point3 dir3(nM.normalized());
Point2 dir2(nM.head(2).normalized());
 
// Compute the measured field in the sensor frame.
Point3 measured3 = n_R3_b.inverse() * (scale * dir3) + bias3;
 
// The 2D magnetometer will measure the "NE" field components.
Point2 measured2 = n_R2_b.inverse() * (scale * dir2) + bias2;
 
SharedNoiseModel model2 = noiseModel::Isotropic::Sigma(2, 0.25);
SharedNoiseModel model3 = noiseModel::Isotropic::Sigma(3, 0.25);
 
// Make up a rotation and offset of the sensor in the body frame.
Pose2 body_P2_sensor(Rot2(-0.30), Point2(1.0, -2.0));
Pose3 body_P3_sensor(Rot3::RzRyRx(Vector3(1.5, 0.9, -1.15)),
                     Point3(-0.1, 0.2, 0.3));
}  // namespace
 
// *****************************************************************************
TEST(MagPoseFactor, Constructors) {
  MagPoseFactor<Pose2> f2a(Symbol('X', 0), measured2, scale, dir2, bias2, model2, {});
  MagPoseFactor<Pose3> f3a(Symbol('X', 0), measured3, scale, dir3, bias3, model3, {});
 
  // Try constructing with a body_P_sensor set.
  MagPoseFactor<Pose2> f2b = MagPoseFactor<Pose2>(
      Symbol('X', 0), measured2, scale, dir2, bias2, model2, body_P2_sensor);
  MagPoseFactor<Pose3> f3b = MagPoseFactor<Pose3>(
      Symbol('X', 0), measured3, scale, dir3, bias3, model3, body_P3_sensor);
 
  f2b.print();
  f3b.print();
}
 
// *****************************************************************************
TEST(MagPoseFactor, JacobianPose2) {
  Matrix H2;
 
  // Error should be zero at the groundtruth pose.
  MagPoseFactor<Pose2> f(Symbol('X', 0), measured2, scale, dir2, bias2, model2, {});
  CHECK(gtsam::assert_equal(Z_2x1, f.evaluateError(n_P2_b, H2), 1e-5));
  CHECK(gtsam::assert_equal(gtsam::numericalDerivative11<Vector, Pose2>  //
                            ([&f] (const Pose2& p) {return f.evaluateError(p);},
                             n_P2_b),
                            H2, 1e-7));
}
 
// *****************************************************************************
TEST(MagPoseFactor, JacobianPose3) {
  Matrix H3;
 
  // Error should be zero at the groundtruth pose.
  MagPoseFactor<Pose3> f(Symbol('X', 0), measured3, scale, dir3, bias3, model3, {});
  CHECK(gtsam::assert_equal(Z_3x1, f.evaluateError(n_P3_b, H3), 1e-5));
  CHECK(gtsam::assert_equal(gtsam::numericalDerivative11<Vector, Pose3>  //
                            ([&f] (const Pose3& p) {return f.evaluateError(p);},
                             n_P3_b),
                            H3, 1e-7));
}
 
// *****************************************************************************
TEST(MagPoseFactor, body_P_sensor2) {
  Matrix H2;
 
  // Because body_P_sensor is specified, we need to rotate the raw measurement
  // from the body frame into the sensor frame "s".
  const Rot2 nRs = n_R2_b * body_P2_sensor.rotation();
  const Point2 sM = nRs.inverse() * (scale * dir2) + bias2;
  MagPoseFactor<Pose2> f = MagPoseFactor<Pose2>(Symbol('X', 0), sM, scale, dir2, bias2, model2, body_P2_sensor);
  CHECK(gtsam::assert_equal(Z_2x1, f.evaluateError(n_P2_b, H2), 1e-5));
  CHECK(gtsam::assert_equal(gtsam::numericalDerivative11<Vector, Pose2> //
      ([&f] (const Pose2& p) {return f.evaluateError(p);},n_P2_b), H2, 1e-7));
}
 
// *****************************************************************************
TEST(MagPoseFactor, body_P_sensor3) {
  Matrix H3;
 
  // Because body_P_sensor is specified, we need to rotate the raw measurement
  // from the body frame into the sensor frame "s".
  const Rot3 nRs = n_R3_b * body_P3_sensor.rotation();
  const Point3 sM = nRs.inverse() * (scale * dir3) + bias3;
  MagPoseFactor<Pose3> f = MagPoseFactor<Pose3>(Symbol('X', 0), sM, scale, dir3, bias3, model3, body_P3_sensor);
  CHECK(gtsam::assert_equal(Z_3x1, f.evaluateError(n_P3_b, H3), 1e-5));
  CHECK(gtsam::assert_equal(gtsam::numericalDerivative11<Vector, Pose3> //
      ([&f] (const Pose3& p) {return f.evaluateError(p);}, n_P3_b), H3, 1e-7));
}
 
// *****************************************************************************
int main() {
  TestResult tr;
  return TestRegistry::runAllTests(tr);
}
// *****************************************************************************