Fixed circle example
parent
ef5031e33e
commit
d3534b2d2b
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@ -49,22 +49,30 @@ class Scenario {
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}
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/// Pose of body in nav frame at time t
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Pose3 poseAtTime(double t) const { return Pose3::Expmap(twist_ * t); }
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Pose3 pose(double t) const { return Pose3::Expmap(twist_ * t); }
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/// Velocity in nav frame at time t
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Vector3 velocityAtTime(double t) {
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Vector3 velocity(double t) {
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const Rot3 nRb = rotAtTime(t);
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return nRb * linearVelocityInBody();
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}
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// acceleration in nav frame
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Vector3 accelerationAtTime(double t) const {
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const Rot3 nRb = rotAtTime(t);
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Vector3 acceleration(double t) const {
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const Vector3 centripetalAcceleration =
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angularVelocityInBody().cross(linearVelocityInBody());
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const Rot3 nRb = rotAtTime(t);
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return nRb * centripetalAcceleration - gravity();
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}
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// acceleration in body frame frame
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Vector3 accelerationInBody(double t) const {
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const Vector3 centripetalAcceleration =
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angularVelocityInBody().cross(linearVelocityInBody());
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const Rot3 nRb = rotAtTime(t);
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return centripetalAcceleration - nRb.transpose() * gravity();
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}
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private:
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Vector6 twist_;
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double imuSampleTime_;
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@ -29,7 +29,7 @@ TEST(Scenario, Forward) {
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const double v = 2; // m/s
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Scenario forward(Vector3::Zero(), Vector3(v, 0, 0));
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const Pose3 T15 = forward.poseAtTime(15);
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const Pose3 T15 = forward.pose(15);
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EXPECT(assert_equal(Vector3(0, 0, 0), T15.rotation().xyz(), 1e-9));
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EXPECT(assert_equal(Point3(30, 0, 0), T15.translation(), 1e-9));
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}
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@ -42,7 +42,7 @@ TEST(Scenario, Circle) {
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// R = v/omega, so test if circle is of right size
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const double R = v / omega;
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const Pose3 T15 = circle.poseAtTime(15);
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const Pose3 T15 = circle.pose(15);
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EXPECT(assert_equal(Vector3(0, 0, 90 * degree), T15.rotation().xyz(), 1e-9));
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EXPECT(assert_equal(Point3(R, R, 0), T15.translation(), 1e-9));
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}
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@ -48,13 +48,19 @@ class ScenarioRunner {
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const double deltaT = scenario_.imuSampleTime();
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const size_t nrSteps = T / deltaT;
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double t = 0;
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Vector3 v0 = scenario_.velocity(0);
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Vector3 v = Vector3::Zero();
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Vector3 p = Vector3::Zero();
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for (size_t k = 0; k < nrSteps; k++, t += deltaT) {
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std::cout << t << ", " << deltaT << ": ";
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const Vector3 measuredAcc = scenario_.accelerationAtTime(t);
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p += deltaT * v;
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v += deltaT * scenario_.acceleration(t);
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const Vector3 measuredAcc = scenario_.accelerationInBody(t);
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result.integrateMeasurement(measuredAcc, measuredOmega, deltaT);
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// std::cout << result.deltaRij() << std::endl;
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std::cout << " a:" << measuredAcc.transpose();
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std::cout << " P:" << result.deltaVij().transpose() << std::endl;
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std::cout << " P:" << result.deltaPij().transpose();
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std::cout << " p:" << p.transpose();
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std::cout << " p0:" << (p + v0 * t).transpose();
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std::cout << std::endl;
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}
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return result;
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@ -65,7 +71,7 @@ class ScenarioRunner {
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// TODO(frank): allow non-standard
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const imuBias::ConstantBias zeroBias;
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const Pose3 pose_i = Pose3::identity();
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const Vector3 vel_i = scenario_.velocityAtTime(0);
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const Vector3 vel_i = scenario_.velocity(0);
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const Vector3 omegaCoriolis = Vector3::Zero();
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const bool use2ndOrderCoriolis = true;
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const PoseVelocityBias prediction =
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@ -95,7 +101,7 @@ using namespace gtsam;
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static const double degree = M_PI / 180.0;
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/* ************************************************************************* *
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/* ************************************************************************* */
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TEST(ScenarioRunner, Forward) {
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const double v = 2; // m/s
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Scenario forward(Vector3::Zero(), Vector3(v, 0, 0));
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@ -103,19 +109,19 @@ TEST(ScenarioRunner, Forward) {
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ScenarioRunner runner(forward);
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const double T = 1; // seconds
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ImuFactor::PreintegratedMeasurements integrated = runner.integrate(T);
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EXPECT(assert_equal(forward.poseAtTime(T), runner.mean(integrated), 1e-9));
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EXPECT(assert_equal(forward.pose(T), runner.mean(integrated), 1e-9));
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}
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/* ************************************************************************* */
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TEST(ScenarioRunner, Circle) {
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// Forward velocity 2m/s, angular velocity 6 degree/sec
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const double v = 2, omega = 6 * degree;
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Scenario circle(Vector3(0, 0, omega), Vector3(v, 0, 0), 0.1);
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Scenario circle(Vector3(0, 0, omega), Vector3(v, 0, 0), 0.01);
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ScenarioRunner runner(circle);
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const double T = 15; // seconds
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ImuFactor::PreintegratedMeasurements integrated = runner.integrate(T);
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EXPECT(assert_equal(circle.poseAtTime(T), runner.mean(integrated), 1e-9));
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EXPECT(assert_equal(circle.pose(T), runner.mean(integrated), 0.1));
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}
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/* ************************************************************************* */
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