Everything done, except derivatives !!!
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d54c70202a
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cca1a54544
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@ -17,8 +17,10 @@
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* @date December 2014
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*/
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#include <gtsam/nonlinear/LevenbergMarquardtOptimizer.h>
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#include <gtsam_unstable/nonlinear/ExpressionFactor.h>
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#include <gtsam/geometry/Point3.h>
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#include <cmath>
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namespace gtsam {
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@ -38,11 +40,47 @@ public:
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time_(0) {
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}
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/// Constructor
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/// Constructor from time and location
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Event(double t, const Point3& p) :
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time_(t), location_(p) {
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}
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/// Constructor with doubles
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Event(double t, double x, double y, double z) :
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time_(t), location_(x, y, z) {
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}
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/** print with optional string */
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void print(const std::string& s = "") const {
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std::cout << s << ", time = " << time_ << std::endl;
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location_.print("location");
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}
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/** equals with an tolerance */
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bool equals(const Event& other, double tol = 1e-9) const {
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return std::abs(time_-other.time_) < tol
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&& location_.equals(other.location_, tol);
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}
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/// Manifold stuff:
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size_t dim() const {
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return 4;
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}
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static size_t Dim() {
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return 4;
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}
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/// Updates a with tangent space delta
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inline Event retract(const Vector4& v) const {
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return Event(time_ + v[0], location_.retract(v.tail(3)));
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}
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/// Returns inverse retraction
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inline Vector4 localCoordinates(const Event& q) const {
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return Vector4::Zero(); // TODO
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}
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/// Time of arrival to given microphone
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double toa(const Point3& microphone, OptionalJacobian<1, 4> H1 = boost::none,
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OptionalJacobian<1, 3> H2 = boost::none) const {
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@ -87,7 +125,7 @@ public:
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};
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}//\ namespace gtsam
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} //\ namespace gtsam
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#include <gtsam/nonlinear/NonlinearFactorGraph.h>
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#include <gtsam/base/numericalDerivative.h>
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@ -98,9 +136,10 @@ using namespace std;
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using namespace gtsam;
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// Create a noise model for the TOA error
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static const double ms = 1e-3, cm = 1e-2;
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//static const double ms = 1e-3;
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static const double cm = 1e-2;
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typedef Eigen::Matrix<double, 1, 1> Vector1;
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static SharedNoiseModel model(noiseModel::Diagonal::Sigmas(Vector1(5. * ms)));
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static SharedNoiseModel model(noiseModel::Unit::Create(1));
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//*****************************************************************************
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TEST( Event, Constructor ) {
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@ -109,7 +148,7 @@ TEST( Event, Constructor ) {
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}
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//*****************************************************************************
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TEST( TOA, Toa1 ) {
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TEST( Event, Toa1 ) {
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Point3 microphone;
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Event event(0, 1, 0, 0);
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double expected = 1 / Event::Speed;
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@ -117,7 +156,7 @@ TEST( TOA, Toa1 ) {
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}
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//*****************************************************************************
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TEST( TOA, Toa2 ) {
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TEST( Event, Toa2 ) {
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Point3 microphone;
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double timeOfEvent = 25;
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Event event(timeOfEvent, 1, 0, 0);
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@ -126,7 +165,7 @@ TEST( TOA, Toa2 ) {
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}
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//*****************************************************************************
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TEST( TOA, Expression ) {
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TEST( Event, Expression ) {
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Key key = 12;
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Expression<Event> event_(key);
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Point3 microphone;
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@ -142,7 +181,15 @@ TEST( TOA, Expression ) {
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}
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//*****************************************************************************
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TEST( TOAFactor, Constract ) {
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TEST(Event, Retract) {
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Event event, expected(1, 2, 3, 4);
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Vector4 v;
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v << 1, 2, 3, 4;
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EXPECT(assert_equal(expected, event.retract(v)));
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}
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//*****************************************************************************
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TEST( TOAFactor, Construct ) {
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Key key = 12;
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Expression<Event> event_(key);
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Point3 microphone;
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@ -164,12 +211,12 @@ TEST( TOAFactor, WholeEnchilada ) {
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// Create a ground truth point
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const double timeOfEvent = 0;
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Event event(timeOfEvent, 201.5 * cm, 201.5 * cm, (212 - 45) * cm);
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Event groundTruthEvent(timeOfEvent, 201.5 * cm, 201.5 * cm, (212 - 45) * cm);
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// Simulate measurements
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vector<double> measurements(4);
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for (size_t i = 0; i < 4; i++)
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measurements[i] = event.toa(microphones[i]);
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measurements[i] = groundTruthEvent.toa(microphones[i]);
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// Now, estimate using non-linear optimization
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NonlinearFactorGraph graph;
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@ -179,6 +226,25 @@ TEST( TOAFactor, WholeEnchilada ) {
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Expression<Point3> knownMicrophone_(microphones[i]); // constant expression
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graph.add(TOAFactor(event_, knownMicrophone_, measurements[i], model));
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}
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/// Print the graph
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GTSAM_PRINT(graph);
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// Create initial estimate
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Values initialEstimate;
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Event estimatedEvent(timeOfEvent + 0.1, 200 * cm, 150 * cm, 50 * cm);
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initialEstimate.insert(key, estimatedEvent);
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// Print
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initialEstimate.print("Initial Estimate:\n");
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// Optimize using Levenberg-Marquardt optimization.
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LevenbergMarquardtParams params;
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params.setVerbosity("ERROR");
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LevenbergMarquardtOptimizer optimizer(graph, initialEstimate);
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Values result = optimizer.optimize();
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result.print("Final Result:\n");
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EXPECT(assert_equal(groundTruthEvent, result.at<Event>(key)));
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}
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//*****************************************************************************
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