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Quantiles: made the SparseMdpPrctlModelChecker call the QuantileHelper for quantile formulas

tempestpy_adaptions
TimQu 6 years ago
parent
commit
dc2654ce60
  1. 8
      src/storm/logic/Formula.cpp
  2. 3
      src/storm/logic/Formula.h
  3. 7
      src/storm/modelchecker/AbstractModelChecker.cpp
  4. 5
      src/storm/modelchecker/AbstractModelChecker.h
  5. 26
      src/storm/modelchecker/prctl/SparseMdpPrctlModelChecker.cpp
  6. 1
      src/storm/modelchecker/prctl/SparseMdpPrctlModelChecker.h
  7. 2
      src/storm/modelchecker/prctl/helper/rewardbounded/Dimension.h
  8. 27
      src/storm/modelchecker/prctl/helper/rewardbounded/MultiDimensionalRewardUnfolding.cpp
  9. 10
      src/storm/modelchecker/prctl/helper/rewardbounded/QuantileHelper.cpp
  10. 21
      src/storm/modelchecker/prctl/helper/rewardbounded/QuantileHelper.h
  11. 4
      src/storm/modelchecker/results/ExplicitParetoCurveCheckResult.h
  12. 22
      src/storm/modelchecker/results/ParetoCurveCheckResult.cpp
  13. 6
      src/storm/modelchecker/results/ParetoCurveCheckResult.h

8
src/storm/logic/Formula.cpp

@ -209,6 +209,14 @@ namespace storm {
return dynamic_cast<MultiObjectiveFormula const&>(*this); return dynamic_cast<MultiObjectiveFormula const&>(*this);
} }
QuantileFormula& Formula::asQuantileFormula() {
return dynamic_cast<QuantileFormula&>(*this);
}
QuantileFormula const& Formula::asQuantileFormula() const {
return dynamic_cast<QuantileFormula const&>(*this);
}
BinaryStateFormula& Formula::asBinaryStateFormula() { BinaryStateFormula& Formula::asBinaryStateFormula() {
return dynamic_cast<BinaryStateFormula&>(*this); return dynamic_cast<BinaryStateFormula&>(*this);
} }

3
src/storm/logic/Formula.h

@ -110,6 +110,9 @@ namespace storm {
MultiObjectiveFormula& asMultiObjectiveFormula(); MultiObjectiveFormula& asMultiObjectiveFormula();
MultiObjectiveFormula const& asMultiObjectiveFormula() const; MultiObjectiveFormula const& asMultiObjectiveFormula() const;
QuantileFormula& asQuantileFormula();
QuantileFormula const& asQuantileFormula() const;
BinaryStateFormula& asBinaryStateFormula(); BinaryStateFormula& asBinaryStateFormula();
BinaryStateFormula const& asBinaryStateFormula() const; BinaryStateFormula const& asBinaryStateFormula() const;

7
src/storm/modelchecker/AbstractModelChecker.cpp

@ -48,6 +48,8 @@ namespace storm {
return this->checkStateFormula(env, checkTask.substituteFormula(formula.asStateFormula())); return this->checkStateFormula(env, checkTask.substituteFormula(formula.asStateFormula()));
} else if (formula.isMultiObjectiveFormula()){ } else if (formula.isMultiObjectiveFormula()){
return this->checkMultiObjectiveFormula(env, checkTask.substituteFormula(formula.asMultiObjectiveFormula())); return this->checkMultiObjectiveFormula(env, checkTask.substituteFormula(formula.asMultiObjectiveFormula()));
} else if (formula.isQuantileFormula()){
return this->checkQuantileFormula(env, checkTask.substituteFormula(formula.asQuantileFormula()));
} }
STORM_LOG_THROW(false, storm::exceptions::InvalidArgumentException, "The given formula '" << formula << "' is invalid."); STORM_LOG_THROW(false, storm::exceptions::InvalidArgumentException, "The given formula '" << formula << "' is invalid.");
} }
@ -311,6 +313,11 @@ namespace storm {
STORM_LOG_THROW(false, storm::exceptions::NotImplementedException, "This model checker (" << getClassName() << ") does not support the formula: " << checkTask.getFormula() << "."); STORM_LOG_THROW(false, storm::exceptions::NotImplementedException, "This model checker (" << getClassName() << ") does not support the formula: " << checkTask.getFormula() << ".");
} }
template<typename ModelType>
std::unique_ptr<CheckResult> AbstractModelChecker<ModelType>::checkQuantileFormula(Environment const& env, CheckTask<storm::logic::QuantileFormula, ValueType> const& checkTask) {
STORM_LOG_THROW(false, storm::exceptions::NotImplementedException, "This model checker (" << getClassName() << ") does not support the formula: " << checkTask.getFormula() << ".");
}
/////////////////////////////////////////////// ///////////////////////////////////////////////
// Explicitly instantiate the template class. // Explicitly instantiate the template class.
/////////////////////////////////////////////// ///////////////////////////////////////////////

5
src/storm/modelchecker/AbstractModelChecker.h

@ -91,7 +91,10 @@ namespace storm {
// The methods to check multi-objective formulas. // The methods to check multi-objective formulas.
virtual std::unique_ptr<CheckResult> checkMultiObjectiveFormula(Environment const& env, CheckTask<storm::logic::MultiObjectiveFormula, ValueType> const& checkTask); virtual std::unique_ptr<CheckResult> checkMultiObjectiveFormula(Environment const& env, CheckTask<storm::logic::MultiObjectiveFormula, ValueType> const& checkTask);
// The methods to check quantile formulas.
virtual std::unique_ptr<CheckResult> checkQuantileFormula(Environment const& env, CheckTask<storm::logic::QuantileFormula, ValueType> const& checkTask);
}; };
} }
} }

26
src/storm/modelchecker/prctl/SparseMdpPrctlModelChecker.cpp

@ -7,6 +7,7 @@
#include "storm/modelchecker/results/ExplicitQualitativeCheckResult.h" #include "storm/modelchecker/results/ExplicitQualitativeCheckResult.h"
#include "storm/modelchecker/results/ExplicitQuantitativeCheckResult.h" #include "storm/modelchecker/results/ExplicitQuantitativeCheckResult.h"
#include "storm/modelchecker/results/ExplicitParetoCurveCheckResult.h"
#include "storm/logic/FragmentSpecification.h" #include "storm/logic/FragmentSpecification.h"
@ -14,6 +15,7 @@
#include "storm/modelchecker/prctl/helper/SparseMdpPrctlHelper.h" #include "storm/modelchecker/prctl/helper/SparseMdpPrctlHelper.h"
#include "storm/modelchecker/prctl/helper/rewardbounded/QuantileHelper.h"
#include "storm/modelchecker/multiobjective/multiObjectiveModelChecking.h" #include "storm/modelchecker/multiobjective/multiObjectiveModelChecking.h"
#include "storm/solver/SolveGoal.h" #include "storm/solver/SolveGoal.h"
@ -40,13 +42,17 @@ namespace storm {
storm::logic::Formula const& formula = checkTask.getFormula(); storm::logic::Formula const& formula = checkTask.getFormula();
if (formula.isInFragment(storm::logic::prctl().setLongRunAverageRewardFormulasAllowed(true).setLongRunAverageProbabilitiesAllowed(true).setConditionalProbabilityFormulasAllowed(true).setOnlyEventuallyFormuluasInConditionalFormulasAllowed(true).setTotalRewardFormulasAllowed(true).setRewardBoundedUntilFormulasAllowed(true).setRewardBoundedCumulativeRewardFormulasAllowed(true).setMultiDimensionalBoundedUntilFormulasAllowed(true).setMultiDimensionalCumulativeRewardFormulasAllowed(true).setTimeOperatorsAllowed(true).setReachbilityTimeFormulasAllowed(true))) { if (formula.isInFragment(storm::logic::prctl().setLongRunAverageRewardFormulasAllowed(true).setLongRunAverageProbabilitiesAllowed(true).setConditionalProbabilityFormulasAllowed(true).setOnlyEventuallyFormuluasInConditionalFormulasAllowed(true).setTotalRewardFormulasAllowed(true).setRewardBoundedUntilFormulasAllowed(true).setRewardBoundedCumulativeRewardFormulasAllowed(true).setMultiDimensionalBoundedUntilFormulasAllowed(true).setMultiDimensionalCumulativeRewardFormulasAllowed(true).setTimeOperatorsAllowed(true).setReachbilityTimeFormulasAllowed(true))) {
return true; return true;
} else {
} else if (formula.isInFragment(storm::logic::multiObjective().setCumulativeRewardFormulasAllowed(true).setTimeBoundedCumulativeRewardFormulasAllowed(true).setStepBoundedCumulativeRewardFormulasAllowed(true).setRewardBoundedCumulativeRewardFormulasAllowed(true).setTimeBoundedUntilFormulasAllowed(true).setStepBoundedUntilFormulasAllowed(true).setRewardBoundedUntilFormulasAllowed(true).setMultiDimensionalBoundedUntilFormulasAllowed(true).setMultiDimensionalCumulativeRewardFormulasAllowed(true))) {
// Check whether we consider a multi-objective formula // Check whether we consider a multi-objective formula
// For multi-objective model checking, each initial state requires an individual scheduler (in contrast to single-objective model checking). Let's exclude multiple initial states. // For multi-objective model checking, each initial state requires an individual scheduler (in contrast to single-objective model checking). Let's exclude multiple initial states.
if (this->getModel().getInitialStates().getNumberOfSetBits() > 1) return false; if (this->getModel().getInitialStates().getNumberOfSetBits() > 1) return false;
if (!checkTask.isOnlyInitialStatesRelevantSet()) return false; if (!checkTask.isOnlyInitialStatesRelevantSet()) return false;
return formula.isInFragment(storm::logic::multiObjective().setCumulativeRewardFormulasAllowed(true).setTimeBoundedCumulativeRewardFormulasAllowed(true).setStepBoundedCumulativeRewardFormulasAllowed(true).setRewardBoundedCumulativeRewardFormulasAllowed(true).setTimeBoundedUntilFormulasAllowed(true).setStepBoundedUntilFormulasAllowed(true).setRewardBoundedUntilFormulasAllowed(true).setMultiDimensionalBoundedUntilFormulasAllowed(true).setMultiDimensionalCumulativeRewardFormulasAllowed(true));
return true;
} else if (formula.isInFragment(storm::logic::quantiles())) {
if (this->getModel().getInitialStates().getNumberOfSetBits() > 1) return false;
return true;
} }
return false;
} }
template<typename SparseMdpModelType> template<typename SparseMdpModelType>
@ -220,6 +226,22 @@ namespace storm {
return multiobjective::performMultiObjectiveModelChecking(env, this->getModel(), checkTask.getFormula()); return multiobjective::performMultiObjectiveModelChecking(env, this->getModel(), checkTask.getFormula());
} }
template<typename SparseMdpModelType>
std::unique_ptr<CheckResult> SparseMdpPrctlModelChecker<SparseMdpModelType>::checkQuantileFormula(Environment const& env, CheckTask<storm::logic::QuantileFormula, ValueType> const& checkTask) {
STORM_LOG_THROW(checkTask.isOnlyInitialStatesRelevantSet(), storm::exceptions::InvalidOperationException, "Computing quantiles is only supported for models with a single initial states.");
STORM_LOG_THROW(this->getModel().getInitialStates().getNumberOfSetBits() == 1, storm::exceptions::InvalidOperationException, "Quantiles not supported on models with multiple initial states.");
uint64_t initialState = *this->getModel().getInitialStates().begin();
helper::rewardbounded::QuantileHelper<SparseMdpModelType> qHelper(this->getModel(), checkTask.getFormula());
auto res = qHelper.computeMultiDimensionalQuantile();
if (res.size() == 1 && res.front().size() == 1) {
return std::unique_ptr<CheckResult>(new ExplicitQuantitativeCheckResult<ValueType>(initialState, std::move(res.front().front())));
} else {
return std::unique_ptr<CheckResult>(new ExplicitParetoCurveCheckResult<ValueType>(initialState, std::move(res)));
}
}
template class SparseMdpPrctlModelChecker<storm::models::sparse::Mdp<double>>; template class SparseMdpPrctlModelChecker<storm::models::sparse::Mdp<double>>;
#ifdef STORM_HAVE_CARL #ifdef STORM_HAVE_CARL

1
src/storm/modelchecker/prctl/SparseMdpPrctlModelChecker.h

@ -33,6 +33,7 @@ namespace storm {
virtual std::unique_ptr<CheckResult> computeLongRunAverageProbabilities(Environment const& env, CheckTask<storm::logic::StateFormula, ValueType> const& checkTask) override; virtual std::unique_ptr<CheckResult> computeLongRunAverageProbabilities(Environment const& env, CheckTask<storm::logic::StateFormula, ValueType> const& checkTask) override;
virtual std::unique_ptr<CheckResult> computeLongRunAverageRewards(Environment const& env, storm::logic::RewardMeasureType rewardMeasureType, CheckTask<storm::logic::LongRunAverageRewardFormula, ValueType> const& checkTask) override; virtual std::unique_ptr<CheckResult> computeLongRunAverageRewards(Environment const& env, storm::logic::RewardMeasureType rewardMeasureType, CheckTask<storm::logic::LongRunAverageRewardFormula, ValueType> const& checkTask) override;
virtual std::unique_ptr<CheckResult> checkMultiObjectiveFormula(Environment const& env, CheckTask<storm::logic::MultiObjectiveFormula, ValueType> const& checkTask) override; virtual std::unique_ptr<CheckResult> checkMultiObjectiveFormula(Environment const& env, CheckTask<storm::logic::MultiObjectiveFormula, ValueType> const& checkTask) override;
virtual std::unique_ptr<CheckResult> checkQuantileFormula(Environment const& env, CheckTask<storm::logic::QuantileFormula, ValueType> const& checkTask) override;
}; };
} // namespace modelchecker } // namespace modelchecker

2
src/storm/modelchecker/prctl/helper/rewardbounded/Dimension.h

@ -3,6 +3,7 @@
#include <boost/optional.hpp> #include <boost/optional.hpp>
#include "storm/storage/BitVector.h" #include "storm/storage/BitVector.h"
#include "storm/solver/OptimizationDirection.h"
namespace storm { namespace storm {
namespace modelchecker { namespace modelchecker {
@ -18,6 +19,7 @@ namespace storm {
ValueType scalingFactor; ValueType scalingFactor;
storm::storage::BitVector dependentDimensions; storm::storage::BitVector dependentDimensions;
boost::optional<uint64_t> maxValue; boost::optional<uint64_t> maxValue;
boost::optional<storm::solver::OptimizationDirection> optimizationDirection;
}; };
} }
} }

27
src/storm/modelchecker/prctl/helper/rewardbounded/MultiDimensionalRewardUnfolding.cpp

@ -88,6 +88,7 @@ namespace storm {
dimension.memoryLabel = memLabel; dimension.memoryLabel = memLabel;
dimension.isUpperBounded = subformula.hasUpperBound(dim); dimension.isUpperBounded = subformula.hasUpperBound(dim);
// for simplicity we do not allow intervals or unbounded formulas. // for simplicity we do not allow intervals or unbounded formulas.
// TODO: Quantiles: allow unbounded formulas
STORM_LOG_THROW(subformula.hasLowerBound(dim) != dimension.isUpperBounded, storm::exceptions::NotSupportedException, "Bounded until formulas are only supported by this method if they consider either an upper bound or a lower bound. Got " << subformula << " instead."); STORM_LOG_THROW(subformula.hasLowerBound(dim) != dimension.isUpperBounded, storm::exceptions::NotSupportedException, "Bounded until formulas are only supported by this method if they consider either an upper bound or a lower bound. Got " << subformula << " instead.");
// lower bounded until formulas with non-trivial left hand side are excluded as this would require some additional effort (in particular the ProductModel::transformMemoryState method). // lower bounded until formulas with non-trivial left hand side are excluded as this would require some additional effort (in particular the ProductModel::transformMemoryState method).
STORM_LOG_THROW(dimension.isUpperBounded || subformula.getLeftSubformula(dim).isTrueFormula(), storm::exceptions::NotSupportedException, "Lower bounded until formulas are only supported by this method if the left subformula is 'true'. Got " << subformula << " instead."); STORM_LOG_THROW(dimension.isUpperBounded || subformula.getLeftSubformula(dim).isTrueFormula(), storm::exceptions::NotSupportedException, "Lower bounded until formulas are only supported by this method if the left subformula is 'true'. Got " << subformula << " instead.");
@ -216,20 +217,22 @@ namespace storm {
bound = dimFormula.asCumulativeRewardFormula().getBound(); bound = dimFormula.asCumulativeRewardFormula().getBound();
isStrict = dimFormula.asCumulativeRewardFormula().isBoundStrict(); isStrict = dimFormula.asCumulativeRewardFormula().isBoundStrict();
} }
STORM_LOG_THROW(!bound.containsVariables(), storm::exceptions::NotSupportedException, "The bound " << bound << " contains undefined constants.");
ValueType discretizedBound = storm::utility::convertNumber<ValueType>(bound.evaluateAsRational());
STORM_LOG_THROW(dimensions[dim].isUpperBounded || isStrict || !storm::utility::isZero(discretizedBound), storm::exceptions::NotSupportedException, "Lower bounds need to be either strict or greater than zero.");
discretizedBound /= dimensions[dim].scalingFactor;
if (storm::utility::isInteger(discretizedBound)) {
if (isStrict == dimensions[dim].isUpperBounded) {
discretizedBound -= storm::utility::one<ValueType>();
if (bound.containsVariables()) {
ValueType discretizedBound = storm::utility::convertNumber<ValueType>(bound.evaluateAsRational());
STORM_LOG_THROW(dimensions[dim].isUpperBounded || isStrict || !storm::utility::isZero(discretizedBound), storm::exceptions::NotSupportedException, "Lower bounds need to be either strict or greater than zero.");
discretizedBound /= dimensions[dim].scalingFactor;
if (storm::utility::isInteger(discretizedBound)) {
if (isStrict == dimensions[dim].isUpperBounded) {
discretizedBound -= storm::utility::one<ValueType>();
}
} else {
discretizedBound = storm::utility::floor(discretizedBound);
} }
} else {
discretizedBound = storm::utility::floor(discretizedBound);
uint64_t dimensionValue = storm::utility::convertNumber<uint64_t>(discretizedBound);
STORM_LOG_THROW(epochManager.isValidDimensionValue(dimensionValue), storm::exceptions::NotSupportedException, "The bound " << bound << " is too high for the considered number of dimensions.");
dimensions[dim].maxValue = dimensionValue;
} }
uint64_t dimensionValue = storm::utility::convertNumber<uint64_t>(discretizedBound);
STORM_LOG_THROW(epochManager.isValidDimensionValue(dimensionValue), storm::exceptions::NotSupportedException, "The bound " << bound << " is too high for the considered number of dimensions.");
dimensions[dim].maxValue = dimensionValue;
} }
} }

10
src/storm/modelchecker/prctl/helper/rewardbounded/QuantileHelper.cpp

@ -0,0 +1,10 @@
#include "storm/modelchecker/prctl/helper/rewardbounded/QuantileHelper.h"
namespace storm {
namespace modelchecker {
namespace helper {
namespace rewardbounded {
}
}
}
}

21
src/storm/modelchecker/prctl/helper/rewardbounded/QuantileHelper.h

@ -0,0 +1,21 @@
#pragma once
#include "storm/logic/QuantileFormula.h"
namespace storm {
namespace modelchecker {
namespace helper {
namespace rewardbounded {
template<typename ModelType>
class QuantileHelper {
typedef typename ModelType::ValueType ValueType;
public:
QuantileHelper(ModelType const& model, storm::logic::QuantileFormula const& formula) {}
std::vector<std::vector<ValueType>> computeMultiDimensionalQuantile() { return {{27}};}
};
}
}
}
}

4
src/storm/modelchecker/results/ExplicitParetoCurveCheckResult.h

@ -12,8 +12,8 @@ namespace storm {
class ExplicitParetoCurveCheckResult : public ParetoCurveCheckResult<ValueType> { class ExplicitParetoCurveCheckResult : public ParetoCurveCheckResult<ValueType> {
public: public:
ExplicitParetoCurveCheckResult(); ExplicitParetoCurveCheckResult();
ExplicitParetoCurveCheckResult(storm::storage::sparse::state_type const& state, std::vector<typename ParetoCurveCheckResult<ValueType>::point_type> const& points, typename ParetoCurveCheckResult<ValueType>::polytope_type const& underApproximation, typename ParetoCurveCheckResult<ValueType>::polytope_type const& overApproximation);
ExplicitParetoCurveCheckResult(storm::storage::sparse::state_type const& state, std::vector<typename ParetoCurveCheckResult<ValueType>::point_type>&& points, typename ParetoCurveCheckResult<ValueType>::polytope_type&& underApproximation, typename ParetoCurveCheckResult<ValueType>::polytope_type&& overApproximation);
ExplicitParetoCurveCheckResult(storm::storage::sparse::state_type const& state, std::vector<typename ParetoCurveCheckResult<ValueType>::point_type> const& points, typename ParetoCurveCheckResult<ValueType>::polytope_type const& underApproximation = nullptr, typename ParetoCurveCheckResult<ValueType>::polytope_type const& overApproximation = nullptr);
ExplicitParetoCurveCheckResult(storm::storage::sparse::state_type const& state, std::vector<typename ParetoCurveCheckResult<ValueType>::point_type>&& points, typename ParetoCurveCheckResult<ValueType>::polytope_type&& underApproximation = nullptr, typename ParetoCurveCheckResult<ValueType>::polytope_type&& overApproximation = nullptr);
ExplicitParetoCurveCheckResult(ExplicitParetoCurveCheckResult const& other) = default; ExplicitParetoCurveCheckResult(ExplicitParetoCurveCheckResult const& other) = default;
ExplicitParetoCurveCheckResult& operator=(ExplicitParetoCurveCheckResult const& other) = default; ExplicitParetoCurveCheckResult& operator=(ExplicitParetoCurveCheckResult const& other) = default;

22
src/storm/modelchecker/results/ParetoCurveCheckResult.cpp

@ -31,22 +31,38 @@ namespace storm {
return points; return points;
} }
template<typename ValueType>
bool ParetoCurveCheckResult<ValueType>::hasUnderApproximation() const {
return bool(underApproximation);
}
template<typename ValueType>
bool ParetoCurveCheckResult<ValueType>::hasOverApproximation() const {
return bool(overApproximation);
}
template<typename ValueType> template<typename ValueType>
typename ParetoCurveCheckResult<ValueType>::polytope_type const& ParetoCurveCheckResult<ValueType>::getUnderApproximation() const { typename ParetoCurveCheckResult<ValueType>::polytope_type const& ParetoCurveCheckResult<ValueType>::getUnderApproximation() const {
STORM_LOG_ASSERT(hasUnderApproximation(), "Requested under approx. of Pareto curve although it does not exist.");
return underApproximation; return underApproximation;
} }
template<typename ValueType> template<typename ValueType>
typename ParetoCurveCheckResult<ValueType>::polytope_type const& ParetoCurveCheckResult<ValueType>::getOverApproximation() const { typename ParetoCurveCheckResult<ValueType>::polytope_type const& ParetoCurveCheckResult<ValueType>::getOverApproximation() const {
STORM_LOG_ASSERT(hasUnderApproximation(), "Requested over approx. of Pareto curve although it does not exist.");
return overApproximation; return overApproximation;
} }
template<typename ValueType> template<typename ValueType>
std::ostream& ParetoCurveCheckResult<ValueType>::writeToStream(std::ostream& out) const { std::ostream& ParetoCurveCheckResult<ValueType>::writeToStream(std::ostream& out) const {
out << std::endl; out << std::endl;
out << "Underapproximation of achievable values: " << underApproximation->toString() << std::endl;
out << "Overapproximation of achievable values: " << overApproximation->toString() << std::endl;
out << points.size() << " pareto optimal points found (Note that these points are safe, i.e., contained in the underapproximation, but there is no guarantee for optimality):" << std::endl;
if (hasUnderApproximation()) {
out << "Underapproximation of achievable values: " << underApproximation->toString() << std::endl;
}
if (hasOverApproximation()) {
out << "Overapproximation of achievable values: " << overApproximation->toString() << std::endl;
}
out << points.size() << " Pareto optimal points found:" << std::endl;
for(auto const& p : points) { for(auto const& p : points) {
out << " ("; out << " (";
for(auto it = p.begin(); it != p.end(); ++it){ for(auto it = p.begin(); it != p.end(); ++it){

6
src/storm/modelchecker/results/ParetoCurveCheckResult.h

@ -19,14 +19,16 @@ namespace storm {
virtual bool isParetoCurveCheckResult() const override; virtual bool isParetoCurveCheckResult() const override;
std::vector<point_type> const& getPoints() const; std::vector<point_type> const& getPoints() const;
bool hasUnderApproximation() const;
bool hasOverApproximation() const;
polytope_type const& getUnderApproximation() const; polytope_type const& getUnderApproximation() const;
polytope_type const& getOverApproximation() const; polytope_type const& getOverApproximation() const;
virtual std::ostream& writeToStream(std::ostream& out) const override; virtual std::ostream& writeToStream(std::ostream& out) const override;
protected: protected:
ParetoCurveCheckResult(std::vector<point_type> const& points, polytope_type const& underApproximation, polytope_type const& overApproximation);
ParetoCurveCheckResult(std::vector<point_type>&& points, polytope_type&& underApproximation, polytope_type&& overApproximation);
ParetoCurveCheckResult(std::vector<point_type> const& points, polytope_type const& underApproximation = nullptr, polytope_type const& overApproximation = nullptr);
ParetoCurveCheckResult(std::vector<point_type>&& points, polytope_type&& underApproximation = nullptr, polytope_type&& overApproximation = nullptr);
// The pareto optimal points that have been found. // The pareto optimal points that have been found.
std::vector<point_type> points; std::vector<point_type> points;

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