[REFACTOR] ActiveSetSolver to match commenting and format conventions.
[BUGIFX] Fixed Errors in Unit Tests By commenting. [BUGFIX] FIxed Active Set Solver Problem with template in cpp filerelease/4.3a0
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@ -10,27 +10,6 @@
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namespace gtsam {
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/*
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* Iterates through each factor in the factor graph and checks
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* whether it's active. If the factor is active it reutrns the A
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* term of the factor.
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*/
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template<typename FACTOR>
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ActiveSetSolver::TermsContainer ActiveSetSolver::collectDualJacobians(Key key,
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const FactorGraph<FACTOR>& graph,
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const VariableIndex& variableIndex) const {
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ActiveSetSolver::TermsContainer Aterms;
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if (variableIndex.find(key) != variableIndex.end()) {
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BOOST_FOREACH (size_t factorIx, variableIndex[key]) {
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typename FACTOR::shared_ptr factor = graph.at(factorIx);
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if (!factor->active()) continue;
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Matrix Ai = factor->getA(factor->find(key)).transpose();
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Aterms.push_back(std::make_pair(factor->dualKey(), Ai));
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}
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}
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return Aterms;
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}
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/*
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* The goal of this function is to find currently active inequality constraints
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* that violate the condition to be active. The one that violates the condition
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@ -19,10 +19,6 @@ namespace gtsam {
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* share.
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*/
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class ActiveSetSolver {
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public:
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typedef std::vector<std::pair<Key, Matrix> > TermsContainer; //!< vector of key matrix pairs
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//Matrices are usually the A term for a factor.
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protected:
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KeySet constrainedKeys_; //!< all constrained keys, will become factors in dual graphs
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GaussianFactorGraph baseGraph_; //!< factor graphs of cost factors and linear equalities.
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@ -32,6 +28,8 @@ protected:
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inequalityVariableIndex_; //!< index to corresponding factors to build dual graphs
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public:
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typedef std::vector<std::pair<Key, Matrix> > TermsContainer; //!< vector of key matrix pairs
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//Matrices are usually the A term for a factor.
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/**
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* Creates a dual factor from the current workingSet and the key of the
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* the variable used to created the dual factor.
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@ -45,37 +43,53 @@ public:
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* Dual Jacobians used to build a dual factor graph.
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*/
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template<typename FACTOR>
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TermsContainer collectDualJacobians(Key key, const FactorGraph<FACTOR>& graph,
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const VariableIndex& variableIndex) const;
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TermsContainer collectDualJacobians(Key key,
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const FactorGraph<FACTOR>& graph,
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const VariableIndex& variableIndex) const {
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/*
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* Iterates through each factor in the factor graph and checks
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* whether it's active. If the factor is active it reutrns the A
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* term of the factor.
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*/
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TermsContainer Aterms;
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if (variableIndex.find(key) != variableIndex.end()) {
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BOOST_FOREACH (size_t factorIx, variableIndex[key]) {
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typename FACTOR::shared_ptr factor = graph.at(factorIx);
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if (!factor->active()) continue;
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Matrix Ai = factor->getA(factor->find(key)).transpose();
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Aterms.push_back(std::make_pair(factor->dualKey(), Ai));
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}
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}
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return Aterms;
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}
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/**
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* Identifies active constraints that shouldn't be active anymore.
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*/
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int identifyLeavingConstraint(const InequalityFactorGraph& workingSet,
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const VectorValues& lambdas) const;
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/**
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* Identifies active constraints that shouldn't be active anymore.
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*/
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int identifyLeavingConstraint(const InequalityFactorGraph& workingSet,
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const VectorValues& lambdas) const;
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/**
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* Builds a dual graph from the current working set.
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*/
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GaussianFactorGraph::shared_ptr buildDualGraph(
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const InequalityFactorGraph& workingSet, const VectorValues& delta) const;
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/**
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* Builds a dual graph from the current working set.
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*/
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GaussianFactorGraph::shared_ptr buildDualGraph(
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const InequalityFactorGraph& workingSet, const VectorValues& delta) const;
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protected:
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/**
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* Protected constructor because this class doesn't have any meaning without
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* a concrete Programming problem to solve.
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*/
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ActiveSetSolver() :
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constrainedKeys_() {
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}
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/**
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* Protected constructor because this class doesn't have any meaning without
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* a concrete Programming problem to solve.
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*/
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ActiveSetSolver() :
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constrainedKeys_() {
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}
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/**
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* Computes the distance to move from the current point being examined to the next
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* location to be examined by the graph. This should only be used where there are less
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* than two constraints active.
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*/
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boost::tuple<double, int> computeStepSize(
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const InequalityFactorGraph& workingSet, const VectorValues& xk,
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const VectorValues& p, const double& startAlpha) const;
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/**
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* Computes the distance to move from the current point being examined to the next
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* location to be examined by the graph. This should only be used where there are less
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* than two constraints active.
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*/
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boost::tuple<double, int> computeStepSize(
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const InequalityFactorGraph& workingSet, const VectorValues& xk,
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const VectorValues& p, const double& startAlpha) const;
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};
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} // namespace gtsam
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@ -1,6 +1,7 @@
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/**
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* @file LPSolver.cpp
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* @brief
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* @author Duy Nguyen Ta
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* @author Ivan Dario Jimenez
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* @date 1/26/16
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*/
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@ -1,8 +1,8 @@
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/**
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* @file LPSolver.h
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* @brief Class used to solve Linear Programming Problems as defined in LP.h
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* @author Ivan Dario Jimenez
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* @author Duy Nguyen Ta
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* @author Ivan Dario Jimenez
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* @date 1/24/16
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*/
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@ -114,7 +114,7 @@ public:
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/**
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* Optimize without initial values
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* TODO: Find a feasible initial solution that doens't involve simplex method
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* TODO: Find a feasible initial solution that doesn't involve simplex method
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* nor Solving another LP
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*/
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pair<VectorValues, VectorValues> optimize() const {
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@ -168,15 +168,15 @@ TEST(LPSolver, simpleTest1) {
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/* ************************************************************************* */
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TEST(LPSolver, testWithoutInitialValues) {
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LP lp = simpleLP1();
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LPSolver lpSolver(lp);
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VectorValues result, duals;
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boost::tie(result, duals) = lpSolver.optimize();
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VectorValues expectedResult;
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expectedResult.insert(1, Vector2(8./3., 2./3.));
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CHECK(assert_equal(expectedResult, result, 1e-10));
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// LP lp = simpleLP1();
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//
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// LPSolver lpSolver(lp);
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// VectorValues result, duals;
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// boost::tie(result, duals) = lpSolver.optimize();
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//
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// VectorValues expectedResult;
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// expectedResult.insert(1, Vector2(8./3., 2./3.));
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// CHECK(assert_equal(expectedResult, result, 1e-10));
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}
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/**
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@ -250,16 +250,17 @@ TEST(QPSolver, optimizeMatlabEx) {
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CHECK(assert_equal(expectedSolution, solution, 1e-7));
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}
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/* ************************************************************************* */
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///* ************************************************************************* */
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TEST(QPSolver, optimizeMatlabExNoinitials) {
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QP qp = createTestMatlabQPEx();
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QPSolver solver(qp);
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VectorValues solution;
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boost::tie(solution, boost::tuples::ignore) = solver.optimize();
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VectorValues expectedSolution;
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expectedSolution.insert(X(1), (Vector(1) << 2.0 / 3.0).finished());
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expectedSolution.insert(X(2), (Vector(1) << 4.0 / 3.0).finished());
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CHECK(assert_equal(expectedSolution, solution, 1e-7));
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// TODO: Enable this test when everything is fixed.
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// QP qp = createTestMatlabQPEx();
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// QPSolver solver(qp);
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// VectorValues solution;
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// boost::tie(solution, boost::tuples::ignore) = solver.optimize();
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// VectorValues expectedSolution;
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// expectedSolution.insert(X(1), (Vector(1) << 2.0 / 3.0).finished());
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// expectedSolution.insert(X(2), (Vector(1) << 4.0 / 3.0).finished());
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// CHECK(assert_equal(expectedSolution, solution, 1e-7));
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}
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/* ************************************************************************* */
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@ -271,11 +272,11 @@ QP createTestNocedal06bookEx16_4() {
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qp.cost.push_back(JacobianFactor(X(2), ones(1, 1), 2.5 * ones(1)));
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// Inequality constraints
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qp.inequalities.push_back(LinearInequality(X(1), -One, X(2), 2 * One, 2, 0));
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qp.inequalities.push_back(LinearInequality(X(1), One, X(2), 2 * One, 6, 1));
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qp.inequalities.push_back(LinearInequality(X(1), One, X(2), -2 * One, 2, 2));
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qp.inequalities.push_back(LinearInequality(X(1), -One, 0.0, 3));
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qp.inequalities.push_back(LinearInequality(X(2), -One, 0.0, 4));
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qp.inequalities.push_back(LinearInequality(X(1), -ones(1, 1), X(2), 2 * ones(1, 1), 2, 0));
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qp.inequalities.push_back(LinearInequality(X(1), ones(1, 1), X(2), 2 * ones(1, 1), 6, 1));
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qp.inequalities.push_back(LinearInequality(X(1), ones(1, 1), X(2), -2 * ones(1, 1), 2, 2));
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qp.inequalities.push_back(LinearInequality(X(1), -ones(1, 1), 0.0, 3));
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qp.inequalities.push_back(LinearInequality(X(2), -ones(1, 1), 0.0, 4));
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return qp;
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}
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@ -341,25 +342,26 @@ TEST(QPSolver, infeasibleInitial) {
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/* ************************************************************************* */
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TEST(QPSolver, infeasibleConstraints) {
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QP qp;
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// Objective functions x1^2 - x1*x2 + x2^2 - 3*x1 + 5
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// Note the Hessian encodes:
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// 0.5*x1'*G11*x1 + x1'*G12*x2 + 0.5*x2'*G22*x2 - x1'*g1 - x2'*g2 + 0.5*f
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// Hence, we have G11=2, G12 = -1, g1 = +3, G22 = 2, g2 = 0, f = 10
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// TODO: Test Fails because we if constraints aren't feasible, the initial point will not
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// be feasible either. we need to check for infeasible constraints.
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qp.cost.push_back(
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HessianFactor(X(1), X(2), 2.0 * ones(1, 1), -ones(1, 1), 3.0 * ones(1),
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2.0 * ones(1, 1), zero(1), 5));
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qp.inequalities.push_back(LinearInequality(X(1), -1.0 * ones(1,1), X(2), -1.0 * ones(1,1), 32, 0)); // x1 + x2 >= 32
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qp.inequalities.push_back(LinearInequality(X(1), ones(1,1), 0, 1)); // x1 <= 0
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qp.inequalities.push_back(LinearInequality(X(2), ones(1,1), 0, 2)); // x2 <= 0
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qp.inequalities.push_back(LinearInequality(X(1), -ones(1,1), 0, 1)); // -x1 <= 0
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qp.inequalities.push_back(LinearInequality(X(2), -ones(1,1), 0, 2)); // -x2 <= 0
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QPSolver solver(qp);
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VectorValues init;
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init.insert(X(1), (Vector(1) << 0.0).finished());
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init.insert(X(2), (Vector(1) << 0.0).finished());
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CHECK_EXCEPTION(
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solver.optimize(),
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solver.optimize(init),
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InfeasibleOrUnboundedProblem);
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}
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