tests for verification
parent
ea104c4b83
commit
5e3093e3e2
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@ -22,9 +22,13 @@
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#include <gtsam/discrete/DiscreteValues.h>
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#include <gtsam/hybrid/GaussianMixture.h>
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#include <gtsam/hybrid/GaussianMixtureFactor.h>
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#include <gtsam/hybrid/HybridBayesNet.h>
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#include <gtsam/hybrid/HybridGaussianFactorGraph.h>
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#include <gtsam/hybrid/HybridValues.h>
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#include <gtsam/inference/Symbol.h>
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#include <gtsam/linear/GaussianFactorGraph.h>
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#include <gtsam/nonlinear/PriorFactor.h>
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#include <gtsam/slam/BetweenFactor.h>
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// Include for test suite
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#include <CppUnitLite/TestHarness.h>
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@ -56,7 +60,6 @@ TEST(GaussianMixtureFactor, Sum) {
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auto b = Matrix::Zero(2, 1);
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Vector2 sigmas;
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sigmas << 1, 2;
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auto model = noiseModel::Diagonal::Sigmas(sigmas, true);
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auto f10 = std::make_shared<JacobianFactor>(X(1), A1, X(2), A2, b);
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auto f11 = std::make_shared<JacobianFactor>(X(1), A1, X(2), A2, b);
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@ -106,7 +109,8 @@ TEST(GaussianMixtureFactor, Printing) {
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GaussianMixtureFactor mixtureFactor({X(1), X(2)}, {m1}, factors);
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std::string expected =
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R"(Hybrid [x1 x2; 1]{
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R"(GaussianMixtureFactor
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Hybrid [x1 x2; 1]{
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Choice(1)
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0 Leaf :
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A[x1] = [
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@ -178,7 +182,8 @@ TEST(GaussianMixtureFactor, Error) {
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continuousValues.insert(X(2), Vector2(1, 1));
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// error should return a tree of errors, with nodes for each discrete value.
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AlgebraicDecisionTree<Key> error_tree = mixtureFactor.errorTree(continuousValues);
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AlgebraicDecisionTree<Key> error_tree =
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mixtureFactor.errorTree(continuousValues);
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std::vector<DiscreteKey> discrete_keys = {m1};
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// Error values for regression test
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@ -191,8 +196,240 @@ TEST(GaussianMixtureFactor, Error) {
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DiscreteValues discreteValues;
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discreteValues[m1.first] = 1;
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EXPECT_DOUBLES_EQUAL(
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4.0, mixtureFactor.error({continuousValues, discreteValues}),
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1e-9);
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4.0, mixtureFactor.error({continuousValues, discreteValues}), 1e-9);
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}
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/* ************************************************************************* */
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// Test components with differing means
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TEST(GaussianMixtureFactor, DifferentMeans) {
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DiscreteKey m1(M(1), 2), m2(M(2), 2);
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Values values;
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double x1 = 0.0, x2 = 1.75, x3 = 2.60;
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values.insert(X(1), x1);
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values.insert(X(2), x2);
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values.insert(X(3), x3);
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auto model0 = noiseModel::Isotropic::Sigma(1, 1e-0);
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auto model1 = noiseModel::Isotropic::Sigma(1, 1e-0);
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auto prior_noise = noiseModel::Isotropic::Sigma(1, 1e-0);
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auto f0 = std::make_shared<BetweenFactor<double>>(X(1), X(2), 0.0, model0)
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->linearize(values);
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auto f1 = std::make_shared<BetweenFactor<double>>(X(1), X(2), 2.0, model1)
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->linearize(values);
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std::vector<GaussianFactor::shared_ptr> factors{f0, f1};
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GaussianMixtureFactor mixtureFactor({X(1), X(2)}, {m1}, factors, true);
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HybridGaussianFactorGraph hfg;
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hfg.push_back(mixtureFactor);
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f0 = std::make_shared<BetweenFactor<double>>(X(2), X(3), 0.0, model0)
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->linearize(values);
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f1 = std::make_shared<BetweenFactor<double>>(X(2), X(3), 2.0, model1)
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->linearize(values);
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std::vector<GaussianFactor::shared_ptr> factors23{f0, f1};
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hfg.push_back(GaussianMixtureFactor({X(2), X(3)}, {m2}, factors23, true));
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auto prior = PriorFactor<double>(X(1), x1, prior_noise).linearize(values);
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hfg.push_back(prior);
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hfg.push_back(PriorFactor<double>(X(2), 2.0, prior_noise).linearize(values));
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auto bn = hfg.eliminateSequential();
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HybridValues actual = bn->optimize();
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HybridValues expected(
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VectorValues{
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{X(1), Vector1(0.0)}, {X(2), Vector1(0.25)}, {X(3), Vector1(-0.6)}},
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DiscreteValues{{M(1), 1}, {M(2), 0}});
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EXPECT(assert_equal(expected, actual));
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{
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DiscreteValues dv{{M(1), 0}, {M(2), 0}};
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VectorValues cont = bn->optimize(dv);
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double error = bn->error(HybridValues(cont, dv));
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// regression
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EXPECT_DOUBLES_EQUAL(1.77418393408, error, 1e-9);
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}
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{
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DiscreteValues dv{{M(1), 0}, {M(2), 1}};
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VectorValues cont = bn->optimize(dv);
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double error = bn->error(HybridValues(cont, dv));
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// regression
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EXPECT_DOUBLES_EQUAL(1.77418393408, error, 1e-9);
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}
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{
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DiscreteValues dv{{M(1), 1}, {M(2), 0}};
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VectorValues cont = bn->optimize(dv);
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double error = bn->error(HybridValues(cont, dv));
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// regression
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EXPECT_DOUBLES_EQUAL(1.10751726741, error, 1e-9);
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}
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{
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DiscreteValues dv{{M(1), 1}, {M(2), 1}};
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VectorValues cont = bn->optimize(dv);
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double error = bn->error(HybridValues(cont, dv));
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// regression
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EXPECT_DOUBLES_EQUAL(1.10751726741, error, 1e-9);
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}
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}
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/* ************************************************************************* */
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/**
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* @brief Test components with differing covariances.
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* The factor graph is
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* *-X1-*-X2
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* |
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* M1
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*/
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TEST(GaussianMixtureFactor, DifferentCovariances) {
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DiscreteKey m1(M(1), 2);
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Values values;
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double x1 = 1.0, x2 = 1.0;
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values.insert(X(1), x1);
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values.insert(X(2), x2);
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double between = 0.0;
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auto model0 = noiseModel::Isotropic::Sigma(1, 1e2);
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auto model1 = noiseModel::Isotropic::Sigma(1, 1e-2);
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auto prior_noise = noiseModel::Isotropic::Sigma(1, 1e-3);
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auto f0 =
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std::make_shared<BetweenFactor<double>>(X(1), X(2), between, model0);
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auto f1 =
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std::make_shared<BetweenFactor<double>>(X(1), X(2), between, model1);
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std::vector<NonlinearFactor::shared_ptr> factors{f0, f1};
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// Create via toFactorGraph
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using symbol_shorthand::Z;
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Matrix H0_1, H0_2, H1_1, H1_2;
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Vector d0 = f0->evaluateError(x1, x2, &H0_1, &H0_2);
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std::vector<std::pair<Key, Matrix>> terms0 = {{Z(1), gtsam::I_1x1 /*Rx*/},
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//
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{X(1), H0_1 /*Sp1*/},
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{X(2), H0_2 /*Tp2*/}};
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Vector d1 = f1->evaluateError(x1, x2, &H1_1, &H1_2);
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std::vector<std::pair<Key, Matrix>> terms1 = {{Z(1), gtsam::I_1x1 /*Rx*/},
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//
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{X(1), H1_1 /*Sp1*/},
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{X(2), H1_2 /*Tp2*/}};
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gtsam::GaussianMixtureFactor gmf(
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{X(1), X(2)}, {m1},
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{std::make_shared<JacobianFactor>(X(1), H0_1, X(2), H0_2, -d0, model0),
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std::make_shared<JacobianFactor>(X(1), H1_1, X(2), H1_2, -d1, model1)},
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true);
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// Create FG with single GaussianMixtureFactor
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HybridGaussianFactorGraph mixture_fg;
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mixture_fg.add(gmf);
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// Linearized prior factor on X1
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auto prior = PriorFactor<double>(X(1), x1, prior_noise).linearize(values);
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mixture_fg.push_back(prior);
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auto hbn = mixture_fg.eliminateSequential();
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// hbn->print();
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VectorValues cv;
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cv.insert(X(1), Vector1(0.0));
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cv.insert(X(2), Vector1(0.0));
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// Check that the error values at the MLE point μ.
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AlgebraicDecisionTree<Key> errorTree = hbn->errorTree(cv);
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DiscreteValues dv0{{M(1), 0}};
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DiscreteValues dv1{{M(1), 1}};
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// regression
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EXPECT_DOUBLES_EQUAL(9.90348755254, errorTree(dv0), 1e-9);
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EXPECT_DOUBLES_EQUAL(0.69314718056, errorTree(dv1), 1e-9);
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DiscreteConditional expected_m1(m1, "0.5/0.5");
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DiscreteConditional actual_m1 = *(hbn->at(2)->asDiscrete());
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EXPECT(assert_equal(expected_m1, actual_m1));
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}
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/* ************************************************************************* */
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/**
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* @brief Test components with differing covariances
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* but with a Bayes net P(Z|X, M) converted to a FG.
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*/
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TEST(GaussianMixtureFactor, DifferentCovariances2) {
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DiscreteKey m1(M(1), 2);
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Values values;
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double x1 = 1.0, x2 = 1.0;
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values.insert(X(1), x1);
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values.insert(X(2), x2);
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double between = 0.0;
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auto model0 = noiseModel::Isotropic::Sigma(1, 1e2);
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auto model1 = noiseModel::Isotropic::Sigma(1, 1e-2);
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auto prior_noise = noiseModel::Isotropic::Sigma(1, 1e-3);
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auto f0 =
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std::make_shared<BetweenFactor<double>>(X(1), X(2), between, model0);
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auto f1 =
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std::make_shared<BetweenFactor<double>>(X(1), X(2), between, model1);
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std::vector<NonlinearFactor::shared_ptr> factors{f0, f1};
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// Create via toFactorGraph
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using symbol_shorthand::Z;
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Matrix H0_1, H0_2, H1_1, H1_2;
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Vector d0 = f0->evaluateError(x1, x2, &H0_1, &H0_2);
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std::vector<std::pair<Key, Matrix>> terms0 = {{Z(1), gtsam::I_1x1 /*Rx*/},
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//
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{X(1), H0_1 /*Sp1*/},
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{X(2), H0_2 /*Tp2*/}};
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Vector d1 = f1->evaluateError(x1, x2, &H1_1, &H1_2);
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std::vector<std::pair<Key, Matrix>> terms1 = {{Z(1), gtsam::I_1x1 /*Rx*/},
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//
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{X(1), H1_1 /*Sp1*/},
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{X(2), H1_2 /*Tp2*/}};
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auto gm = new gtsam::GaussianMixture(
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{Z(1)}, {X(1), X(2)}, {m1},
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{std::make_shared<GaussianConditional>(terms0, 1, -d0, model0),
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std::make_shared<GaussianConditional>(terms1, 1, -d1, model1)});
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gtsam::HybridBayesNet bn;
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bn.emplace_back(gm);
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gtsam::VectorValues measurements;
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measurements.insert(Z(1), gtsam::Z_1x1);
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// Create FG with single GaussianMixtureFactor
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HybridGaussianFactorGraph mixture_fg = bn.toFactorGraph(measurements);
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// Linearized prior factor on X1
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auto prior = PriorFactor<double>(X(1), x1, prior_noise).linearize(values);
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mixture_fg.push_back(prior);
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auto hbn = mixture_fg.eliminateSequential();
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VectorValues cv;
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cv.insert(X(1), Vector1(0.0));
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cv.insert(X(2), Vector1(0.0));
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// Check that the error values at the MLE point μ.
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AlgebraicDecisionTree<Key> errorTree = hbn->errorTree(cv);
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DiscreteValues dv0{{M(1), 0}};
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DiscreteValues dv1{{M(1), 1}};
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// regression
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EXPECT_DOUBLES_EQUAL(9.90348755254, errorTree(dv0), 1e-9);
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EXPECT_DOUBLES_EQUAL(0.69314718056, errorTree(dv1), 1e-9);
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DiscreteConditional expected_m1(m1, "0.5/0.5");
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DiscreteConditional actual_m1 = *(hbn->at(2)->asDiscrete());
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EXPECT(assert_equal(expected_m1, actual_m1));
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}
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/* ************************************************************************* */
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@ -510,6 +510,7 @@ factor 0:
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b = [ -10 ]
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No noise model
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factor 1:
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GaussianMixtureFactor
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Hybrid [x0 x1; m0]{
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Choice(m0)
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0 Leaf :
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@ -534,6 +535,7 @@ Hybrid [x0 x1; m0]{
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}
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factor 2:
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GaussianMixtureFactor
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Hybrid [x1 x2; m1]{
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Choice(m1)
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0 Leaf :
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@ -675,33 +677,41 @@ factor 6: P( m1 | m0 ):
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size: 3
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conditional 0: Hybrid P( x0 | x1 m0)
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Discrete Keys = (m0, 2),
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logNormalizationConstant: 1.38862
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Choice(m0)
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0 Leaf p(x0 | x1)
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R = [ 10.0499 ]
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S[x1] = [ -0.0995037 ]
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d = [ -9.85087 ]
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logNormalizationConstant: 1.38862
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No noise model
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1 Leaf p(x0 | x1)
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R = [ 10.0499 ]
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S[x1] = [ -0.0995037 ]
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d = [ -9.95037 ]
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logNormalizationConstant: 1.38862
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No noise model
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conditional 1: Hybrid P( x1 | x2 m0 m1)
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Discrete Keys = (m0, 2), (m1, 2),
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logNormalizationConstant: 1.3935
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Choice(m1)
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0 Choice(m0)
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0 0 Leaf p(x1 | x2)
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R = [ 10.099 ]
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S[x2] = [ -0.0990196 ]
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d = [ -9.99901 ]
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logNormalizationConstant: 1.3935
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No noise model
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0 1 Leaf p(x1 | x2)
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R = [ 10.099 ]
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S[x2] = [ -0.0990196 ]
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d = [ -9.90098 ]
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logNormalizationConstant: 1.3935
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No noise model
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1 Choice(m0)
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R = [ 10.099 ]
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S[x2] = [ -0.0990196 ]
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d = [ -10.098 ]
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logNormalizationConstant: 1.3935
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No noise model
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1 1 Leaf p(x1 | x2)
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R = [ 10.099 ]
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S[x2] = [ -0.0990196 ]
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d = [ -10 ]
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logNormalizationConstant: 1.3935
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No noise model
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conditional 2: Hybrid P( x2 | m0 m1)
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Discrete Keys = (m0, 2), (m1, 2),
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logNormalizationConstant: 1.38857
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Choice(m1)
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0 Choice(m0)
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0 0 Leaf p(x2)
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d = [ -10.1489 ]
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mean: 1 elements
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x2: -1.0099
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logNormalizationConstant: 1.38857
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No noise model
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0 1 Leaf p(x2)
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d = [ -10.1479 ]
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mean: 1 elements
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x2: -1.0098
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logNormalizationConstant: 1.38857
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No noise model
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1 Choice(m0)
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d = [ -10.0504 ]
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mean: 1 elements
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x2: -1.0001
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logNormalizationConstant: 1.38857
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No noise model
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1 1 Leaf p(x2)
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d = [ -10.0494 ]
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mean: 1 elements
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x2: -1
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logNormalizationConstant: 1.38857
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No noise model
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)";
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