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@ -238,8 +238,108 @@ TEST(OrientedPlane3Factor, Issue561) {
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GaussNewtonOptimizer optimizer(graph, initialEstimate, params);
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Values result = optimizer.optimize();
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EXPECT_DOUBLES_EQUAL(0, graph.error(result), 0.1);
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} catch (IndeterminantLinearSystemException e) {
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std::cerr << "CAPTURED THE EXCEPTION: " << e.nearbyVariable() << std::endl;
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} catch (const IndeterminantLinearSystemException &e) {
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std::cerr << "CAPTURED THE EXCEPTION: " << DefaultKeyFormatter(e.nearbyVariable()) << std::endl;
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EXPECT(false); // fail if this happens
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}
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}
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/* ************************************************************************* */
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// Simplified version of the test by Marco Camurri to debug issue #561
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TEST(OrientedPlane3Factor, Issue561Simplified) {
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// Typedefs
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using symbol_shorthand::P; //< Planes
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using symbol_shorthand::X; //< Pose3 (x,y,z,r,p,y)
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using Plane = OrientedPlane3;
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NonlinearFactorGraph graph;
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// Setup prior factors
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Pose3 x0_prior(Rot3::identity(), Vector3(99, 0, 0));
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auto x0_noise = noiseModel::Isotropic::Sigma(6, 0.01);
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graph.addPrior<Pose3>(X(0), x0_prior, x0_noise);
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// Two horizontal planes with different heights.
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const Plane p1(0,0,1,1), p2(0,0,1,2);
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auto p1_noise = noiseModel::Diagonal::Sigmas(Vector3{1, 1, 5});
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graph.addPrior<Plane>(P(1), p1, p1_noise);
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// ADDING THIS PRIOR MAKES OPTIMIZATION FAIL
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auto p2_noise = noiseModel::Diagonal::Sigmas(Vector3{1, 1, 5});
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graph.addPrior<Plane>(P(2), p2, p2_noise);
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// First plane factor
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const auto x0_p1_noise = noiseModel::Isotropic::Sigma(3, 0.05);
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graph.emplace_shared<OrientedPlane3Factor>(p1.planeCoefficients(),
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x0_p1_noise, X(0), P(1));
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// Second plane factor
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const auto x0_p2_noise = noiseModel::Isotropic::Sigma(3, 0.05);
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graph.emplace_shared<OrientedPlane3Factor>(p2.planeCoefficients(),
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x0_p2_noise, X(0), P(2));
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// Initial values
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// Just offset the initial pose by 1m. This is what we are trying to optimize.
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Values initialEstimate;
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Pose3 x0 = x0_prior.compose(Pose3(Rot3::identity(), Vector3(1,0,0)));
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initialEstimate.insert(P(1), p1);
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initialEstimate.insert(P(2), p2);
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initialEstimate.insert(X(0), x0);
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// For testing only
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HessianFactor::shared_ptr hessianFactor = graph.linearizeToHessianFactor(initialEstimate);
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const auto hessian = hessianFactor->hessianBlockDiagonal();
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Matrix hessianP1 = hessian.at(P(1)),
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hessianP2 = hessian.at(P(2)),
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hessianX0 = hessian.at(X(0));
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Eigen::JacobiSVD<Matrix> svdP1(hessianP1, Eigen::ComputeThinU),
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svdP2(hessianP2, Eigen::ComputeThinU),
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svdX0(hessianX0, Eigen::ComputeThinU);
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double conditionNumberP1 = svdP1.singularValues()[0] / svdP1.singularValues()[2],
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conditionNumberP2 = svdP2.singularValues()[0] / svdP2.singularValues()[2],
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conditionNumberX0 = svdX0.singularValues()[0] / svdX0.singularValues()[5];
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std::cout << "Hessian P1:\n" << hessianP1 << "\n"
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<< "Condition number:\n" << conditionNumberP1 << "\n"
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<< "Singular values:\n" << svdP1.singularValues().transpose() << "\n"
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<< "SVD U:\n" << svdP1.matrixU() << "\n" << std::endl;
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std::cout << "Hessian P2:\n" << hessianP2 << "\n"
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<< "Condition number:\n" << conditionNumberP2 << "\n"
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<< "Singular values:\n" << svdP2.singularValues().transpose() << "\n"
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<< "SVD U:\n" << svdP2.matrixU() << "\n" << std::endl;
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std::cout << "Hessian X0:\n" << hessianX0 << "\n"
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<< "Condition number:\n" << conditionNumberX0 << "\n"
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<< "Singular values:\n" << svdX0.singularValues().transpose() << "\n"
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<< "SVD U:\n" << svdX0.matrixU() << "\n" << std::endl;
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// std::cout << "Hessian P2:\n" << hessianP2 << std::endl;
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// std::cout << "Hessian X0:\n" << hessianX0 << std::endl;
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// For testing only
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// Optimize
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try {
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GaussNewtonParams params;
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//GTSAM_PRINT(graph);
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//Ordering ordering = list_of(P(1))(P(2))(X(0)); // make sure P1 eliminated first
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//params.setOrdering(ordering);
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// params.setLinearSolverType("SEQUENTIAL_QR"); // abundance of caution
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params.setVerbosity("TERMINATION"); // show info about stopping conditions
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GaussNewtonOptimizer optimizer(graph, initialEstimate, params);
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Values result = optimizer.optimize();
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EXPECT_DOUBLES_EQUAL(0, graph.error(result), 0.1);
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EXPECT(x0_prior.equals(result.at<Pose3>(X(0))));
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EXPECT(p1.equals(result.at<Plane>(P(1))));
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EXPECT(p2.equals(result.at<Plane>(P(2))));
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} catch (const IndeterminantLinearSystemException &e) {
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std::cerr << "CAPTURED THE EXCEPTION: " << DefaultKeyFormatter(e.nearbyVariable()) << std::endl;
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EXPECT(false); // fail if this happens
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}
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}
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