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#ifndef STORM_MODELCHECKER_REACHABILITY_SPARSEDTMCELIMINATIONMODELCHECKER_H_
#define STORM_MODELCHECKER_REACHABILITY_SPARSEDTMCELIMINATIONMODELCHECKER_H_
#include "src/storage/sparse/StateType.h"
#include "src/models/sparse/Dtmc.h"
#include "src/modelchecker/propositional/SparsePropositionalModelChecker.h"
#include "src/utility/constants.h"
namespace storm {
namespace storage {
template<typename ValueType>
class StronglyConnectedComponentDecomposition;
}
namespace modelchecker {
template<typename SparseDtmcModelType>
class SparseDtmcEliminationModelChecker : public SparsePropositionalModelChecker<SparseDtmcModelType> {
public:
typedef typename SparseDtmcModelType::ValueType ValueType;
typedef typename SparseDtmcModelType::RewardModelType RewardModelType;
/*!
* Creates an elimination-based model checker for the given model.
*
* @param model The model to analyze.
* @param computeResultsForInitialStatesOnly If set to true, the results are only computed for
*/
explicit SparseDtmcEliminationModelChecker(storm::models::sparse::Dtmc<ValueType> const& model, bool computeResultsForInitialStatesOnly = true);
// The implemented methods of the AbstractModelChecker interface.
virtual bool canHandle(storm::logic::Formula const& formula) const override;
virtual std::unique_ptr<CheckResult> computeBoundedUntilProbabilities(storm::logic::BoundedUntilFormula const& pathFormula, bool qualitative = false, boost::optional<OptimizationDirection> const& optimalityType = boost::optional<OptimizationDirection>()) override;
virtual std::unique_ptr<CheckResult> computeUntilProbabilities(storm::logic::UntilFormula const& pathFormula, bool qualitative = false, boost::optional<OptimizationDirection> const& optimalityType = boost::optional<OptimizationDirection>()) override;
virtual std::unique_ptr<CheckResult> computeReachabilityRewards(storm::logic::ReachabilityRewardFormula const& rewardPathFormula, boost::optional<std::string> const& rewardModelName = boost::optional<std::string>(), bool qualitative = false, boost::optional<OptimizationDirection> const& optimalityType = boost::optional<OptimizationDirection>()) override;
virtual std::unique_ptr<CheckResult> computeConditionalProbabilities(storm::logic::ConditionalPathFormula const& pathFormula, bool qualitative = false, boost::optional<OptimizationDirection> const& optimalityType = boost::optional<OptimizationDirection>()) override;
virtual std::unique_ptr<CheckResult> computeLongRunAverage(storm::logic::StateFormula const& stateFormula, bool qualitative = false, boost::optional<OptimizationDirection> const& optimalityType = boost::optional<OptimizationDirection>()) override;
private:
class FlexibleSparseMatrix {
public:
typedef uint_fast64_t index_type;
typedef ValueType value_type;
typedef std::vector<storm::storage::MatrixEntry<index_type, value_type>> row_type;
typedef typename row_type::iterator iterator;
typedef typename row_type::const_iterator const_iterator;
FlexibleSparseMatrix() = default;
FlexibleSparseMatrix(index_type rows);
void reserveInRow(index_type row, index_type numberOfElements);
row_type& getRow(index_type);
row_type const& getRow(index_type) const;
index_type getNumberOfRows() const;
void print() const;
bool empty() const;
void filter(storm::storage::BitVector const& rowFilter, storm::storage::BitVector const& columnFilter);
/*!
* Checks whether the given state has a self-loop with an arbitrary probability in the probability matrix.
*
* @param state The state for which to check whether it possesses a self-loop.
* @return True iff the given state has a self-loop with an arbitrary probability in the probability matrix.
*/
bool hasSelfLoop(storm::storage::sparse::state_type state);
private:
std::vector<row_type> data;
};
class StatePriorityQueue {
public:
virtual bool hasNextState() const = 0;
virtual storm::storage::sparse::state_type popNextState() = 0;
virtual void update(storm::storage::sparse::state_type state, FlexibleSparseMatrix const& transitionMatrix, FlexibleSparseMatrix const& backwardTransitions, std::vector<ValueType> const& oneStepProbabilities);
virtual std::size_t size() const = 0;
};
class StaticStatePriorityQueue : public StatePriorityQueue {
public:
StaticStatePriorityQueue(std::vector<storm::storage::sparse::state_type> const& sortedStates);
virtual bool hasNextState() const override;
virtual storm::storage::sparse::state_type popNextState() override;
virtual std::size_t size() const override;
private:
std::vector<uint_fast64_t> sortedStates;
uint_fast64_t currentPosition;
};
struct PriorityComparator {
bool operator()(std::pair<storm::storage::sparse::state_type, uint_fast64_t> const& first, std::pair<storm::storage::sparse::state_type, uint_fast64_t> const& second) {
return (first.second < second.second) || (first.second == second.second && first.first < second.first) ;
}
};
typedef std::function<uint_fast64_t (storm::storage::sparse::state_type const& state, FlexibleSparseMatrix const& transitionMatrix, FlexibleSparseMatrix const& backwardTransitions, std::vector<ValueType> const& oneStepProbabilities)> PenaltyFunctionType;
class DynamicPenaltyStatePriorityQueue : public StatePriorityQueue {
public:
DynamicPenaltyStatePriorityQueue(std::vector<std::pair<storm::storage::sparse::state_type, uint_fast64_t>> const& sortedStatePenaltyPairs, PenaltyFunctionType const& penaltyFunction);
virtual bool hasNextState() const override;
virtual storm::storage::sparse::state_type popNextState() override;
virtual void update(storm::storage::sparse::state_type state, FlexibleSparseMatrix const& transitionMatrix, FlexibleSparseMatrix const& backwardTransitions, std::vector<ValueType> const& oneStepProbabilities) override;
virtual std::size_t size() const override;
private:
std::set<std::pair<storm::storage::sparse::state_type, uint_fast64_t>, PriorityComparator> priorityQueue;
std::unordered_map<storm::storage::sparse::state_type, uint_fast64_t> stateToPriorityMapping;
PenaltyFunctionType penaltyFunction;
};
static std::vector<ValueType> computeLongRunValues(storm::storage::SparseMatrix<ValueType> const& transitionMatrix, storm::storage::SparseMatrix<ValueType> const& backwardTransitions, storm::storage::BitVector const& initialStates, storm::storage::BitVector const& statesWithProbabilityGreater0, storm::storage::StronglyConnectedComponentDecomposition<ValueType> const& bsccDecomposition, bool computeResultsForInitialStatesOnly, std::vector<ValueType>& stateValues);
static std::vector<ValueType> computeReachabilityValues(storm::storage::SparseMatrix<ValueType> const& transitionMatrix, std::vector<ValueType>& values, storm::storage::SparseMatrix<ValueType> const& backwardTransitions, storm::storage::BitVector const& initialStates, bool computeResultsForInitialStatesOnly, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates, std::vector<ValueType> const& oneStepProbabilitiesToTarget);
static std::unique_ptr<StatePriorityQueue> createStatePriorityQueue(boost::optional<std::vector<uint_fast64_t>> const& stateDistances, FlexibleSparseMatrix const& transitionMatrix, FlexibleSparseMatrix const& backwardTransitions, std::vector<ValueType>& oneStepProbabilities, storm::storage::BitVector const& states);
static std::unique_ptr<StatePriorityQueue> createNaivePriorityQueue(storm::storage::BitVector const& states);
static void performPrioritizedStateElimination(std::unique_ptr<StatePriorityQueue>& priorityQueue, FlexibleSparseMatrix& transitionMatrix, FlexibleSparseMatrix& backwardTransitions, std::vector<ValueType>& values, storm::storage::BitVector const& initialStates, bool computeResultsForInitialStatesOnly);
static void performOrdinaryStateElimination(FlexibleSparseMatrix& transitionMatrix, FlexibleSparseMatrix& backwardTransitions, storm::storage::BitVector const& subsystem, storm::storage::BitVector const& initialStates, bool computeResultsForInitialStatesOnly, std::vector<ValueType>& values, boost::optional<std::vector<ValueType>>& additionalStateValues, boost::optional<std::vector<uint_fast64_t>> const& distanceBasedPriorities);
static void performOrdinaryStateElimination(FlexibleSparseMatrix& transitionMatrix, FlexibleSparseMatrix& backwardTransitions, storm::storage::BitVector const& subsystem, storm::storage::BitVector const& initialStates, bool computeResultsForInitialStatesOnly, std::vector<ValueType>& values, boost::optional<std::vector<uint_fast64_t>> const& distanceBasedPriorities);
static uint_fast64_t performHybridStateElimination(storm::storage::SparseMatrix<ValueType> const& forwardTransitions, FlexibleSparseMatrix& transitionMatrix, FlexibleSparseMatrix& backwardTransitions, storm::storage::BitVector const& subsystem, storm::storage::BitVector const& initialStates, bool computeResultsForInitialStatesOnly, std::vector<ValueType>& values, boost::optional<std::vector<uint_fast64_t>> const& distanceBasedPriorities);
static uint_fast64_t treatScc(FlexibleSparseMatrix& matrix, std::vector<ValueType>& values, storm::storage::BitVector const& entryStates, storm::storage::BitVector const& scc, storm::storage::BitVector const& initialStates, storm::storage::SparseMatrix<ValueType> const& forwardTransitions, FlexibleSparseMatrix& backwardTransitions, bool eliminateEntryStates, uint_fast64_t level, uint_fast64_t maximalSccSize, std::vector<storm::storage::sparse::state_type>& entryStateQueue, bool computeResultsForInitialStatesOnly, boost::optional<std::vector<uint_fast64_t>> const& distanceBasedPriorities = boost::none);
static FlexibleSparseMatrix getFlexibleSparseMatrix(storm::storage::SparseMatrix<ValueType> const& matrix, bool setAllValuesToOne = false);
typedef std::function<void (storm::storage::sparse::state_type const& state, ValueType const& loopProbability)> ValueUpdateCallback;
typedef std::function<void (storm::storage::sparse::state_type const& predecessor, ValueType const& probability, storm::storage::sparse::state_type const& state)> PredecessorUpdateCallback;
typedef std::function<void (storm::storage::sparse::state_type const& state)> PriorityUpdateCallback;
typedef std::function<bool (storm::storage::sparse::state_type const& state)> PredecessorFilterCallback;
static void eliminateState(storm::storage::sparse::state_type state, FlexibleSparseMatrix& matrix, FlexibleSparseMatrix& backwardTransitions, ValueUpdateCallback const& valueUpdateCallback, PredecessorUpdateCallback const& predecessorCallback, boost::optional<PriorityUpdateCallback> const& priorityUpdateCallback = boost::none, boost::optional<PredecessorFilterCallback> const& predecessorFilterCallback = boost::none, bool removeForwardTransitions = true);
static std::vector<uint_fast64_t> getDistanceBasedPriorities(storm::storage::SparseMatrix<ValueType> const& transitionMatrix, storm::storage::SparseMatrix<ValueType> const& transitionMatrixTransposed, storm::storage::BitVector const& initialStates, std::vector<ValueType> const& oneStepProbabilities, bool forward, bool reverse);
static std::vector<std::size_t> getStateDistances(storm::storage::SparseMatrix<ValueType> const& transitionMatrix, storm::storage::SparseMatrix<ValueType> const& transitionMatrixTransposed, storm::storage::BitVector const& initialStates, std::vector<ValueType> const& oneStepProbabilities, bool forward);
static uint_fast64_t computeStatePenalty(storm::storage::sparse::state_type const& state, FlexibleSparseMatrix const& transitionMatrix, FlexibleSparseMatrix const& backwardTransitions, std::vector<ValueType> const& oneStepProbabilities);
static uint_fast64_t computeStatePenaltyRegularExpression(storm::storage::sparse::state_type const& state, FlexibleSparseMatrix const& transitionMatrix, FlexibleSparseMatrix const& backwardTransitions, std::vector<ValueType> const& oneStepProbabilities);
static bool checkConsistent(FlexibleSparseMatrix& transitionMatrix, FlexibleSparseMatrix& backwardTransitions);
// A flag that indicates whether this model checker is supposed to produce results for all states or just for the initial states.
bool computeResultsForInitialStatesOnly;
};
} // namespace modelchecker
} // namespace storm
#endif /* STORM_MODELCHECKER_REACHABILITY_SPARSEDTMCELIMINATIONMODELCHECKER_H_ */