552 lines
17 KiB
C++
552 lines
17 KiB
C++
/**
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* @file testConstrainedLinearFactorGraph.cpp
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* @author Alex Cunningham
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*/
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#include <iostream>
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#include <CppUnitLite/TestHarness.h>
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#include "ConstrainedLinearFactorGraph.h"
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#include "LinearFactorGraph.h"
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#include "smallExample.h"
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using namespace gtsam;
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using namespace std;
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/* ************************************************************************* */
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TEST( ConstrainedLinearFactorGraph, elimination1 )
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{
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// get the graph
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// *-X-x-Y
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ConstrainedLinearFactorGraph fg = createSingleConstraintGraph();
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// verify construction of the graph
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CHECK(fg.size() == 2);
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// eliminate x
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Ordering ord;
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ord.push_back("x");
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ChordalBayesNet::shared_ptr cbn = fg.eliminate(ord);
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// verify result of elimination
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// CBN of size 1, as we only eliminated X now
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CHECK(fg.size() == 1);
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CHECK(cbn->size() == 1);
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// We will have a "delta function" on X as a function of Y
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// |1 2||x_1| = |1| - |10 0||y_1|
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// |2 1||x_2| |2| |0 10||y_2|
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Matrix Ax1(2, 2);
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Ax1(0, 0) = 1.0; Ax1(0, 1) = 2.0;
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Ax1(1, 0) = 2.0; Ax1(1, 1) = 1.0;
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Matrix Ay1 = eye(2) * 10;
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Vector b2 = Vector_(2, 1.0, 2.0);
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ConstrainedConditionalGaussian expectedCCG1(b2, Ax1, "y", Ay1);
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CHECK(expectedCCG1.equals(*(cbn->get("x"))));
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// verify remaining factor on y
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// Gaussian factor on X becomes different Gaussian factor on Y
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Matrix Ap(2,2);
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Ap(0, 0) = 1.0; Ap(0, 1) = -2.0;
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Ap(1, 0) = -2.0; Ap(1, 1) = 1.0;
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Ap = 33.3333 * Ap;
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Vector bp = Vector_(2, 0.0, -10.0);
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LinearFactor expectedLF("y", Ap, bp);
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CHECK(expectedLF.equals(*(fg[0]), 1e-4));
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// eliminate y
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Ordering ord2;
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ord2.push_back("y");
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cbn = fg.eliminate(ord2);
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// Check result
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CHECK(fg.size() == 0);
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Matrix R(2,2);
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R(0, 0) = 74.5356; R(0, 1) = -59.6285;
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R(1, 0) = 0.0; R(1, 1) = 44.7214;
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Vector br = Vector_(2, 8.9443, 4.4721);
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ConditionalGaussian expected2(br, R);
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CHECK(expected2.equals(*(cbn->get("y"))));
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}
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/* ************************************************************************* */
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TEST( ConstrainedLinearFactorGraph, optimize )
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{
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// create graph
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ConstrainedLinearFactorGraph fg = createSingleConstraintGraph();
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// perform optimization
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Ordering ord;
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ord.push_back("y");
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ord.push_back("x");
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VectorConfig actual = fg.optimize(ord);
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VectorConfig expected;
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expected.insert("x", Vector_(2, 1.0, -1.0));
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expected.insert("y", Vector_(2, 0.2, 0.1));
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CHECK(expected.size() == actual.size());
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CHECK(assert_equal(expected["x"], actual["x"], 1e-4));
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CHECK(assert_equal(expected["y"], actual["y"], 1e-4));
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}
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/* ************************************************************************* */
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TEST( ConstrainedLinearFactorGraph, optimize2 )
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{
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// create graph
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ConstrainedLinearFactorGraph fg = createSingleConstraintGraph();
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// perform optimization
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Ordering ord;
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ord.push_back("x");
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ord.push_back("y");
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VectorConfig actual = fg.optimize(ord);
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VectorConfig expected;
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expected.insert("x", Vector_(2, 1.0, -1.0));
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expected.insert("y", Vector_(2, 0.2, 0.1));
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CHECK(expected.size() == actual.size());
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CHECK(assert_equal(expected["x"], actual["x"], 1e-4)); // Fails here: gets x = (-3, 1)
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CHECK(assert_equal(expected["y"], actual["y"], 1e-4));
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}
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/* ************************************************************************* */
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TEST( ConstrainedLinearFactorGraph, is_constrained )
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{
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// very simple check
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ConstrainedLinearFactorGraph fg;
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CHECK(!fg.is_constrained("x"));
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// create simple graph
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Vector b = Vector_(2, 0.0, 0.0);
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LinearFactor::shared_ptr f1(new LinearFactor("x", eye(2), "y", eye(2), b));
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LinearFactor::shared_ptr f2(new LinearFactor("z", eye(2), "w", eye(2), b));
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LinearConstraint::shared_ptr f3(new LinearConstraint("y", eye(2), "z", eye(2), b));
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fg.push_back(f1);
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fg.push_back(f2);
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fg.push_back_constraint(f3);
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CHECK(fg.is_constrained("y"));
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CHECK(fg.is_constrained("z"));
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CHECK(!fg.is_constrained("x"));
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CHECK(!fg.is_constrained("w"));
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}
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/* ************************************************************************* */
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TEST( ConstrainedLinearFactorGraph, get_constraint_separator )
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{
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ConstrainedLinearFactorGraph fg1 = createMultiConstraintGraph();
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ConstrainedLinearFactorGraph fg2 = createMultiConstraintGraph();
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LinearConstraint::shared_ptr lc1 = fg1.constraint_at(0);
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LinearConstraint::shared_ptr lc2 = fg1.constraint_at(1);
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vector<LinearConstraint::shared_ptr> actual1 = fg1.find_constraints_and_remove("y");
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CHECK(fg1.size() == 2);
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CHECK(actual1.size() == 1);
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CHECK((*actual1.begin())->equals(*lc1));
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vector<LinearConstraint::shared_ptr> actual2 = fg2.find_constraints_and_remove("x");
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CHECK(fg2.size() == 1);
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CHECK(actual2.size() == 2);
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CHECK((*actual1.begin())->equals(*lc1));
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LinearConstraint::shared_ptr act = *(++actual2.begin());
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CHECK(act->equals(*lc2));
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}
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/* ************************************************************************* */
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TEST( ConstrainedLinearFactorGraph, update_constraints )
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{
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// create a graph
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ConstrainedLinearFactorGraph fg1 = createMultiConstraintGraph();
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// process constraints - picking first constraint on x
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vector<LinearConstraint::shared_ptr> constraints = fg1.find_constraints_and_remove("x");
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CHECK(constraints.size() == 2);
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CHECK(fg1.size() == 1); // both constraints removed
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LinearConstraint::shared_ptr primary = constraints[0];
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LinearConstraint::shared_ptr updatee = constraints[1];
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fg1.update_constraints("x", constraints, primary);
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CHECK(fg1.size() == 2); // induced constraint added back
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// expected induced constraint
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Matrix Ar(2,2);
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Ar(0, 0) = -16.6666; Ar(0, 1) = -6.6666;
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Ar(1, 0) = 10.0; Ar(1, 1) = 0.0;
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Matrix A22(2,2);
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A22(0,0) = 1.0 ; A22(0,1) = 1.0;
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A22(1,0) = 1.0 ; A22(1,1) = 2.0;
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Vector br = Vector_(2, 0.0, 5.0);
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LinearConstraint::shared_ptr exp(new LinearConstraint("y", Ar, "z", A22, br));
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// evaluate
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CHECK(assert_equal(*(fg1.constraint_at(0)), *exp, 1e-4));
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}
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/* ************************************************************************* */
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TEST( ConstrainedLinearFactorGraph, find_constraints_and_remove )
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{
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// constraint 1
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Matrix A11(2,2);
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A11(0,0) = 1.0 ; A11(0,1) = 2.0;
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A11(1,0) = 2.0 ; A11(1,1) = 1.0;
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Matrix A12(2,2);
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A12(0,0) = 10.0 ; A12(0,1) = 0.0;
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A12(1,0) = 0.0 ; A12(1,1) = 10.0;
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Vector b1(2);
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b1(0) = 1.0; b1(1) = 2.0;
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LinearConstraint::shared_ptr lc1(new LinearConstraint("x", A11, "y", A12, b1));
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// constraint 2
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Matrix A21(2,2);
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A21(0,0) = 3.0 ; A21(0,1) = 4.0;
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A21(1,0) = -1.0 ; A21(1,1) = -2.0;
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Matrix A22(2,2);
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A22(0,0) = 1.0 ; A22(0,1) = 1.0;
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A22(1,0) = 1.0 ; A22(1,1) = 2.0;
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Vector b2(2);
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b2(0) = 3.0; b2(1) = 4.0;
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LinearConstraint::shared_ptr lc2(new LinearConstraint("x", A21, "z", A22, b2));
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// construct the graph
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ConstrainedLinearFactorGraph fg1;
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fg1.push_back_constraint(lc1);
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fg1.push_back_constraint(lc2);
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// constraints on x
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vector<LinearConstraint::shared_ptr> expected1, actual1;
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expected1.push_back(lc1);
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expected1.push_back(lc2);
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actual1 = fg1.find_constraints_and_remove("x");
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CHECK(fg1.size() == 0);
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CHECK(expected1.size() == actual1.size());
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vector<LinearConstraint::shared_ptr>::const_iterator exp1, act1;
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for(exp1=expected1.begin(), act1=actual1.begin(); act1 != actual1.end(); ++act1, ++exp1) {
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CHECK((*exp1)->equals(**act1));
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}
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}
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/* ************************************************************************* */
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TEST( ConstrainedLinearFactorGraph, eliminate_multi_constraint )
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{
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ConstrainedLinearFactorGraph fg = createMultiConstraintGraph();
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// eliminate the constraint
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ConstrainedConditionalGaussian::shared_ptr cg1 = fg.eliminate_constraint("x");
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CHECK(cg1->size() == 1);
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CHECK(fg.size() == 2);
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// eliminate the induced constraint
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ConstrainedConditionalGaussian::shared_ptr cg2 = fg.eliminate_constraint("y");
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CHECK(fg.size() == 1);
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CHECK(cg2->size() == 1);
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// eliminate the linear factor
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ConditionalGaussian::shared_ptr cg3 = fg.eliminate_one("z");
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CHECK(fg.size() == 0);
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CHECK(cg3->size() == 0);
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// solve piecewise
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VectorConfig actual;
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Vector act_z = cg3->solve(actual);
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actual.insert("z", act_z);
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CHECK(assert_equal(act_z, Vector_(2, -4.0, 5.0), 1e-4));
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Vector act_y = cg2->solve(actual);
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actual.insert("y", act_y);
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CHECK(assert_equal(act_y, Vector_(2, -0.1, 0.4), 1e-4));
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Vector act_x = cg1->solve(actual);
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CHECK(assert_equal(act_x, Vector_(2, -2.0, 2.0), 1e-4));
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}
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/* ************************************************************************* */
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TEST( ConstrainedLinearFactorGraph, optimize_multi_constraint )
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{
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ConstrainedLinearFactorGraph fg = createMultiConstraintGraph();
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// solve the graph
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Ordering ord;
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ord.push_back("x");
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ord.push_back("y");
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ord.push_back("z");
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VectorConfig actual = fg.optimize(ord);
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// verify
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VectorConfig expected;
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expected.insert("x", Vector_(2, -2.0, 2.0));
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expected.insert("y", Vector_(2, -0.1, 0.4));
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expected.insert("z", Vector_(2, -4.0, 5.0));
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CHECK(expected.size() == actual.size());
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CHECK(assert_equal(expected["x"], actual["x"], 1e-4));
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CHECK(assert_equal(expected["y"], actual["y"], 1e-4));
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CHECK(assert_equal(expected["z"], actual["z"], 1e-4));
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}
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/* ************************************************************************* */
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// OLD TESTS - should be ported into the new structure when possible
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/* ************************************************************************* */
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/* ************************************************************************* */
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//TEST( ConstrainedLinearFactorGraph, basic )
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//{
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// ConstrainedLinearFactorGraph fg = createConstrainedLinearFactorGraph();
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//
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// // expected equality factor
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// Vector v1(2); v1(0)=1.;v1(1)=2.;
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// LinearConstraint::shared_ptr f1(new LinearConstraint(v1, "x0"));
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//
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// // expected normal linear factor
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// Matrix A21(2,2);
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// A21(0,0) = -10 ; A21(0,1) = 0;
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// A21(1,0) = 0 ; A21(1,1) = -10;
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//
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// Matrix A22(2,2);
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// A22(0,0) = 10 ; A22(0,1) = 0;
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// A22(1,0) = 0 ; A22(1,1) = 10;
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//
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// Vector b(2);
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// b(0) = 20 ; b(1) = 30;
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//
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// LinearFactor::shared_ptr f2(new LinearFactor("x0", A21, "x1", A22, b));
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//
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// CHECK(f2->equals(*(fg[0])));
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// CHECK(f1->equals(*(fg.eq_at(0))));
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//}
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//TEST ( ConstrainedLinearFactorGraph, copy )
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//{
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// LinearFactorGraph lfg = createLinearFactorGraph();
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// LinearFactor::shared_ptr f1 = lfg[0];
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// LinearFactor::shared_ptr f2 = lfg[1];
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// LinearFactor::shared_ptr f3 = lfg[2];
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// LinearFactor::shared_ptr f4 = lfg[3];
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//
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// ConstrainedLinearFactorGraph actual(lfg);
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//
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// ConstrainedLinearFactorGraph expected;
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// expected.push_back(f1);
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// expected.push_back(f2);
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// expected.push_back(f3);
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// expected.push_back(f4);
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//
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// CHECK(actual.equals(expected));
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//}
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//
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//TEST( ConstrainedLinearFactorGraph, equals )
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//{
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// // basic equality test
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// ConstrainedLinearFactorGraph fg = createConstrainedLinearFactorGraph();
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// ConstrainedLinearFactorGraph fg2 = createConstrainedLinearFactorGraph();
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// CHECK( fg.equals(fg2) );
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//
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// // ensuring that equality factors are compared
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// LinearFactor::shared_ptr f2 = fg[0]; // get a linear factor from existing graph
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// ConstrainedLinearFactorGraph fg3;
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// fg3.push_back(f2);
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// CHECK( !fg3.equals(fg) );
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//}
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//
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//TEST( ConstrainedLinearFactorGraph, size )
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//{
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// LinearFactorGraph lfg = createLinearFactorGraph();
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// ConstrainedLinearFactorGraph fg1(lfg);
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//
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// CHECK(fg1.size() == lfg.size());
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//
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// ConstrainedLinearFactorGraph fg2 = createConstrainedLinearFactorGraph();
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//
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// CHECK(fg2.size() == 2);
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//}
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//
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//TEST( ConstrainedLinearFactorGraph, is_constrained )
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//{
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// ConstrainedLinearFactorGraph fg = createConstrainedLinearFactorGraph();
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//
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// CHECK(fg.is_constrained("x0"));
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// CHECK(!fg.is_constrained("x1"));
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//}
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//
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//TEST( ConstrainedLinearFactorGraph, optimize )
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//{
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// ConstrainedLinearFactorGraph fg1 = createConstrainedLinearFactorGraph();
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// ConstrainedLinearFactorGraph fg2 = createConstrainedLinearFactorGraph();
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//
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// VectorConfig expected = createConstrainedConfig();
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//
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// Ordering ord1;
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// ord1.push_back("x0");
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// ord1.push_back("x1");
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//
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// Ordering ord2;
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// ord2.push_back("x1");
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// ord2.push_back("x0");
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//
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// VectorConfig actual1 = fg1.optimize(ord1);
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// VectorConfig actual2 = fg2.optimize(ord2);
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//
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// CHECK(actual1.equals(expected));
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// CHECK(actual1.equals(actual2));
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//}
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//
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//TEST (ConstrainedLinearFactorGraph, eliminate )
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//{
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// ConstrainedLinearFactorGraph fg = createConstrainedLinearFactorGraph();
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// VectorConfig c = createConstrainedConfig();
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//
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// Ordering ord1;
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// ord1.push_back("x0");
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// ord1.push_back("x1");
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//
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// ConstrainedChordalBayesNet::shared_ptr actual = fg.eliminate(ord1);
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//
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// // create an expected bayes net
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// ConstrainedChordalBayesNet::shared_ptr expected(new ConstrainedChordalBayesNet);
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//
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// ConstrainedConditionalGaussian::shared_ptr d(new ConstrainedConditionalGaussian);//(c["x0"], "x0"));
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// expected->insert_df("x0", d);
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//
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// Matrix A = eye(2);
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// double sigma = 0.1;
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// Vector dv = c["x1"];
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// ConditionalGaussian::shared_ptr cg(new ConditionalGaussian(dv/sigma, A/sigma));
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// expected->insert("x1", cg);
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//
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// CHECK(actual->equals(*expected));
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//}
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//
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//TEST (ConstrainedLinearFactorGraph, baseline_optimize)
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//{
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// // tests performance when there are no equality factors in the graph
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// LinearFactorGraph lfg = createLinearFactorGraph();
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// ConstrainedLinearFactorGraph clfg(lfg); // copy in the linear factor graph
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//
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// Ordering ord;
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// ord.push_back("l1");
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// ord.push_back("x1");
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// ord.push_back("x2");
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//
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// VectorConfig actual = clfg.optimize(ord);
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//
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// VectorConfig expected = lfg.optimize(ord); // should be identical to regular lfg optimize
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//
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// CHECK(actual.equals(expected));
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//}
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//
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//TEST (ConstrainedLinearFactorGraph, baseline_eliminate_one )
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//{
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// LinearFactorGraph fg = createLinearFactorGraph();
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// ConstrainedLinearFactorGraph cfg(fg);
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//
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// ConditionalGaussian::shared_ptr actual = cfg.eliminate_one("x1");
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//
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// // create expected Conditional Gaussian
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// Matrix R11 = Matrix_(2,2,
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// 15.0, 00.0,
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// 00.0, 15.0
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// );
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// Matrix S12 = Matrix_(2,2,
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// -1.66667, 0.00,
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// +0.00,-1.66667
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// );
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// Matrix S13 = Matrix_(2,2,
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// -6.66667, 0.00,
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// +0.00,-6.66667
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// );
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// Vector d(2); d(0) = -2; d(1) = -1.0/3.0;
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// ConditionalGaussian expected(d,R11,"l1",S12,"x2",S13);
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//
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// CHECK( actual->equals(expected) );
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//}
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//
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//TEST (ConstrainedLinearFactorGraph, eliminate_constraint)
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//{
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//// ConstrainedLinearFactorGraph fg = createConstrainedLinearFactorGraph();
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//// ConstrainedConditionalGaussian::shared_ptr actual = fg.eliminate_constraint("x0");
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////
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//// VectorConfig c = createConstrainedConfig();
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//// ConstrainedConditionalGaussian::shared_ptr expected(new ConstrainedConditionalGaussian);//(c["x0"], "x0"));
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////
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//// CHECK(assert_equal(*actual, *expected)); // check output for correct delta function
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////
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//// CHECK(fg.size() == 1); // check size
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////
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//// ConstrainedLinearFactorGraph::eq_const_iterator eit = fg.eq_begin();
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//// CHECK(eit == fg.eq_end()); // ensure no remaining equality factors
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////
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//// // verify the remaining factor - should be a unary factor on x1
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//// ConstrainedLinearFactorGraph::const_iterator it = fg.begin();
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//// LinearFactor::shared_ptr factor_actual = *it;
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////
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//// CHECK(factor_actual->size() == 1);
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//}
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//
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//TEST (ConstrainedLinearFactorGraph, constraintCombineAndEliminate )
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//{
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// // create a set of factors
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// ConstrainedLinearFactorGraph fg = createConstrainedLinearFactorGraph();
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// LinearConstraint::shared_ptr eq = fg.eq_at(0);
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// LinearFactor::shared_ptr f1 = fg[0];
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//
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// // make a joint linear factor
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// set<LinearFactor::shared_ptr> f1_set;
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// f1_set.insert(f1);
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// boost::shared_ptr<MutableLinearFactor> joined(new MutableLinearFactor(f1_set));
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|
//
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// // create a sample graph
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// ConstrainedLinearFactorGraph graph;
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|
//
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// // combine linear factor and eliminate
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|
// graph.constraintCombineAndEliminate(*eq, *joined);
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|
//
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|
// // verify structure
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|
// CHECK(graph.size() == 1); // will have only one factor
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// LinearFactor::shared_ptr actual = graph[0];
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// CHECK(actual->size() == 1); // remaining factor will be unary
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|
//
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|
// // verify values
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|
// VectorConfig c = createConstrainedConfig();
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|
// Vector exp_v = c["x1"];
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|
// Matrix A = actual->get_A("x1");
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|
// Vector b = actual->get_b();
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// Vector act_v = backsubstitution(A, b);
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// CHECK(assert_equal(act_v, exp_v));
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|
//}
|
|
//
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|
//TEST (ConstrainedLinearFactorGraph, extract_eq)
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|
//{
|
|
// ConstrainedLinearFactorGraph fg = createConstrainedLinearFactorGraph();
|
|
// LinearConstraint::shared_ptr actual = fg.extract_eq("x0");
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|
//
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|
// Vector v1(2); v1(0)=1.;v1(1)=2.;
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|
// LinearConstraint::shared_ptr expected(new LinearConstraint(v1, "x0"));
|
|
//
|
|
// // verify output
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|
// CHECK(assert_equal(*actual, *expected));
|
|
//
|
|
// // verify removal
|
|
// ConstrainedLinearFactorGraph::eq_const_iterator it = fg.eq_begin();
|
|
// CHECK(it == fg.eq_end());
|
|
//
|
|
// // verify full size
|
|
// CHECK(fg.size() == 1);
|
|
//}
|
|
//
|
|
//TEST( ConstrainedLinearFactorGraph, GET_ORDERING)
|
|
//{
|
|
// ConstrainedLinearFactorGraph fg = createConstrainedLinearFactorGraph();
|
|
// Ordering ord = fg.getOrdering();
|
|
// CHECK(ord[0] == string("x0"));
|
|
// CHECK(ord[1] == string("x1"));
|
|
//}
|
|
|
|
/* ************************************************************************* */
|
|
int main() {
|
|
TestResult tr;
|
|
return TestRegistry::runAllTests(tr);
|
|
}
|
|
/* ************************************************************************* */
|
|
|