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@ -314,7 +314,7 @@ namespace storm { |
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std::vector<Type> b = this->getModel().getTransitionMatrix().getConstrainedRowSumVector(maybeStates, this->getModel().getNondeterministicChoiceIndices(), statesWithProbability1, submatrix.getRowCount()); |
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// Create vector for results for maybe states. |
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std::vector<Type> x = this->getInitialValueIterationValues(minimize, submatrix, subNondeterministicChoiceIndices, b, statesWithProbability1, maybeStates); |
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std::vector<Type> x(maybeStates.getNumberOfSetBits()); |
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// Solve the corresponding system of equations. |
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if (linearEquationSolver != nullptr) { |
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@ -523,7 +523,7 @@ namespace storm { |
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} |
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// Create vector for results for maybe states. |
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std::vector<Type> x = this->getInitialValueIterationValues(minimize, submatrix, subNondeterministicChoiceIndices, b, *targetStates, maybeStates); |
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std::vector<Type> x(maybeStates.getNumberOfSetBits()); |
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// Solve the corresponding system of equations. |
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if (linearEquationSolver != nullptr) { |
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@ -625,121 +625,7 @@ namespace storm { |
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return subNondeterministicChoiceIndices; |
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} |
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/*! |
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* Retrieves the values to be used as the initial values for the value iteration techniques. |
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* |
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* @param submatrix The matrix that will be used for value iteration later. |
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* @param subNondeterministicChoiceIndices A vector indicating which rows represent the nondeterministic choices |
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* of which state in the system that will be used for value iteration. |
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* @param rightHandSide The right-hand-side of the equation system used for value iteration. |
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* @param targetStates A set of target states that is to be reached. |
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* @param maybeStates A set of states that was selected as the system on which to perform value iteration. |
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* @param guessedScheduler If not the nullptr, this vector will be filled with the scheduler that was |
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* derived as a preliminary guess. |
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* @param distancePairs If not the nullptr, this pair of vectors contains the minimal path distances from |
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* each state to a target state and a non-target state, respectively. |
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* @return The initial values to be used for the value iteration for the given system. |
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*/ |
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std::vector<Type> getInitialValueIterationValues(bool minimize, storm::storage::SparseMatrix<Type> const& submatrix, |
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std::vector<uint_fast64_t> const& subNondeterministicChoiceIndices, |
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std::vector<Type> const& rightHandSide, |
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storm::storage::BitVector const& targetStates, |
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storm::storage::BitVector const& maybeStates, |
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std::vector<uint_fast64_t>* guessedScheduler = nullptr, |
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std::pair<std::vector<Type>, std::vector<Type>>* distancePairs = nullptr) const { |
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storm::settings::Settings* s = storm::settings::Settings::getInstance(); |
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double precision = s->getOptionByLongName("precision").getArgument(0).getValueAsDouble(); |
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if (s->isSet("useHeuristicPresolve")) { |
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// Compute both the most probable paths to target states as well as the most probable path to non-target states. |
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// Note that here target state means a state does not *not* satisfy the property that is to be reached |
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// if we want to minimize the reachability probability. |
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std::pair<std::vector<Type>, std::vector<uint_fast64_t>> maxDistancesAndPredecessorsPairToTarget = storm::utility::graph::performDijkstra(this->getModel(), |
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this->getModel().template getBackwardTransitions<Type>([](Type const& value) -> Type { return value; }), |
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minimize ? ~(maybeStates | targetStates) : targetStates, &maybeStates); |
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std::pair<std::vector<Type>, std::vector<uint_fast64_t>> maxDistancesAndPredecessorsPairToNonTarget = storm::utility::graph::performDijkstra(this->getModel(), |
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this->getModel().template getBackwardTransitions<Type>([](Type const& value) -> Type { return value; }), |
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minimize ? targetStates : ~(maybeStates | targetStates), &maybeStates); |
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// Now guess the scheduler that could possibly maximize the probability of reaching the target states. |
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std::vector<uint_fast64_t> scheduler = this->getSchedulerGuess(maybeStates, maxDistancesAndPredecessorsPairToTarget.first, maxDistancesAndPredecessorsPairToNonTarget.first); |
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// Now that we have a guessed scheduler, we can compute the reachability probability of the system |
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// under the given scheduler and take these values as the starting point for value iteration. |
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std::vector<Type> result(scheduler.size(), Type(0.5)); |
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std::vector<Type> b(scheduler.size()); |
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storm::utility::vector::selectVectorValues(b, scheduler, subNondeterministicChoiceIndices, rightHandSide); |
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storm::storage::SparseMatrix<Type> A(submatrix.getSubmatrix(scheduler, subNondeterministicChoiceIndices)); |
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A.convertToEquationSystem(); |
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storm::solver::GmmxxLinearEquationSolver<Type> solver; |
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solver.solveEquationSystem(A, result, b); |
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// As there are sometimes some very small values in the vector due to numerical solving, we set |
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// them to zero, because they otherwise require a certain number of value iterations. |
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for (auto& value : result) { |
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if (value < precision) { |
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value = 0; |
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} |
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} |
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// If some of the parameters were given, we fill them with the information that they are supposed |
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// to contain. |
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if (guessedScheduler != nullptr) { |
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*guessedScheduler = std::move(scheduler); |
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} |
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if (distancePairs != nullptr) { |
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distancePairs->first = std::move(maxDistancesAndPredecessorsPairToTarget.first); |
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distancePairs->second = std::move(maxDistancesAndPredecessorsPairToNonTarget.first); |
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} |
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return result; |
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} else { |
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// If guessing a scheduler was not requested, we just return the constant zero vector as the |
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// starting point for value iteration. |
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return std::vector<Type>(submatrix.getColumnCount()); |
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} |
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} |
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/*! |
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* Guesses a scheduler that possibly maximizes the probabiliy of reaching the target states. |
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* |
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* @param maybeStates The states for which the scheduler needs to resolve the nondeterminism. |
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* @param distancesToTarget Contains the minimal distance of reaching a target state for each state. |
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* @param distancesToNonTarget Contains the minimal distance of reaching a non-target state for each state. |
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* @return The scheduler that was guessed based on the given distance information. |
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*/ |
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std::vector<uint_fast64_t> getSchedulerGuess(storm::storage::BitVector const& maybeStates, std::vector<Type> const& distancesToTarget, std::vector<Type> const& distancesToNonTarget) const { |
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std::vector<uint_fast64_t> scheduler(maybeStates.getNumberOfSetBits()); |
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// For each of the states we need to resolve the nondeterministic choice based on the information we are given. |
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Type maxProbability = -storm::utility::constGetInfinity<Type>(); |
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Type currentProbability = 0; |
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uint_fast64_t currentStateIndex = 0; |
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for (auto state : maybeStates) { |
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maxProbability = -storm::utility::constGetInfinity<Type>(); |
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for (uint_fast64_t row = 0, rowEnd = this->getModel().getNondeterministicChoiceIndices()[state + 1] - this->getModel().getNondeterministicChoiceIndices()[state]; row < rowEnd; ++row) { |
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typename storm::storage::SparseMatrix<Type>::Rows currentRow = this->getModel().getTransitionMatrix().getRow(this->getModel().getNondeterministicChoiceIndices()[state] + row); |
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currentProbability = 0; |
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for (auto& transition : currentRow) { |
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currentProbability += transition.value() * distancesToTarget[transition.column()]; |
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// currentProbability -= transition.value() * (1 - distancesToNonTarget[transition.column()]); |
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} |
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if (currentProbability > maxProbability) { |
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maxProbability = currentProbability; |
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scheduler[currentStateIndex] = row; |
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} |
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} |
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++currentStateIndex; |
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} |
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return scheduler; |
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} |
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// An object that is used for solving linear equations and performing matrix-vector multiplication. |
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std::unique_ptr<storm::solver::AbstractNondeterministicLinearEquationSolver<Type>> linearEquationSolver; |
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