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@ -499,14 +499,34 @@ namespace storm { |
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template<typename ValueType> |
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std::unique_ptr<CheckResult> SparseMdpPrctlHelper<ValueType>::computeConditionalProbabilities(OptimizationDirection dir, storm::storage::sparse::state_type initialState, storm::storage::SparseMatrix<ValueType> const& transitionMatrix, storm::storage::SparseMatrix<ValueType> const& backwardTransitions, storm::storage::BitVector const& targetStates, storm::storage::BitVector const& conditionStates, bool qualitative, storm::utility::solver::MinMaxLinearEquationSolverFactory<ValueType> const& minMaxLinearEquationSolverFactory) { |
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// For the max-case, we can simply take the given target states. For the min-case, however, we need to
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// find the MECs of non-target states and make them the new target states.
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storm::storage::BitVector fixedTargetStates; |
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if (dir == OptimizationDirection::Maximize) { |
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fixedTargetStates = targetStates; |
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} else { |
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fixedTargetStates = storm::storage::BitVector(targetStates.size()); |
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storm::storage::MaximalEndComponentDecomposition<ValueType> mecDecomposition(transitionMatrix, backwardTransitions, ~targetStates); |
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for (auto const& mec : mecDecomposition) { |
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for (auto const& stateActionsPair : mec) { |
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fixedTargetStates.set(stateActionsPair.first); |
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} |
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} |
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} |
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// We solve the max-case and later adjust the result if the optimization direction was to minimize.
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// FIXME: actually do this.
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storm::storage::BitVector initialStatesBitVector(transitionMatrix.getRowGroupCount()); |
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initialStatesBitVector.set(initialState); |
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storm::storage::BitVector allStates(initialStatesBitVector.size(), true); |
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std::vector<ValueType> conditionProbabilities = std::move(computeUntilProbabilities(OptimizationDirection::Maximize, transitionMatrix, backwardTransitions, allStates, conditionStates, false, false, minMaxLinearEquationSolverFactory).result); |
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std::vector<ValueType> targetProbabilities = std::move(computeUntilProbabilities(OptimizationDirection::Maximize, transitionMatrix, backwardTransitions, allStates, targetStates, false, false, minMaxLinearEquationSolverFactory).result); |
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// If the conditional probability is undefined for the initial state, we return directly.
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if (storm::utility::isZero(conditionProbabilities[initialState])) { |
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return std::unique_ptr<CheckResult>(new ExplicitQuantitativeCheckResult<ValueType>(initialState, storm::utility::infinity<ValueType>())); |
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} |
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std::vector<ValueType> targetProbabilities = std::move(computeUntilProbabilities(OptimizationDirection::Maximize, transitionMatrix, backwardTransitions, allStates, fixedTargetStates, false, false, minMaxLinearEquationSolverFactory).result); |
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storm::storage::BitVector statesWithProbabilityGreater0E(transitionMatrix.getRowGroupCount(), true); |
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storm::storage::sparse::state_type state = 0; |
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@ -517,16 +537,11 @@ namespace storm { |
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++state; |
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} |
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// If the conditional probability is undefined for the initial state, we return directly.
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if (!statesWithProbabilityGreater0E.get(initialState)) { |
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return std::unique_ptr<CheckResult>(new ExplicitQuantitativeCheckResult<ValueType>(initialState, storm::utility::infinity<ValueType>())); |
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} |
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// Determine those states that need to be equipped with a restart mechanism.
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storm::storage::BitVector problematicStates = storm::utility::graph::performProb0E(transitionMatrix, transitionMatrix.getRowGroupIndices(), backwardTransitions, allStates, conditionStates | targetStates); |
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storm::storage::BitVector problematicStates = storm::utility::graph::performProb0E(transitionMatrix, transitionMatrix.getRowGroupIndices(), backwardTransitions, allStates, conditionStates | fixedTargetStates); |
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// Otherwise, we build the transformed MDP.
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storm::storage::BitVector relevantStates = storm::utility::graph::getReachableStates(transitionMatrix, initialStatesBitVector, allStates, conditionStates | targetStates); |
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storm::storage::BitVector relevantStates = storm::utility::graph::getReachableStates(transitionMatrix, initialStatesBitVector, allStates, conditionStates | fixedTargetStates); |
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std::vector<uint_fast64_t> numberOfStatesBeforeRelevantStates = relevantStates.getNumberOfSetBitsBeforeIndices(); |
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storm::storage::sparse::state_type newGoalState = relevantStates.getNumberOfSetBits(); |
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storm::storage::sparse::state_type newStopState = newGoalState + 1; |
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@ -537,7 +552,7 @@ namespace storm { |
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uint_fast64_t currentRow = 0; |
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for (auto state : relevantStates) { |
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builder.newRowGroup(currentRow); |
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if (targetStates.get(state)) { |
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if (fixedTargetStates.get(state)) { |
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builder.addNextValue(currentRow, newGoalState, conditionProbabilities[state]); |
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if (!storm::utility::isZero(conditionProbabilities[state])) { |
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builder.addNextValue(currentRow, newFailState, 1 - conditionProbabilities[state]); |
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@ -581,7 +596,7 @@ namespace storm { |
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storm::storage::SparseMatrix<ValueType> newBackwardTransitions = newTransitionMatrix.transpose(true); |
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std::vector<ValueType> goalProbabilities = std::move(computeUntilProbabilities(OptimizationDirection::Maximize, newTransitionMatrix, newBackwardTransitions, storm::storage::BitVector(newFailState + 1, true), newGoalStates, false, false, minMaxLinearEquationSolverFactory).result); |
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return std::unique_ptr<CheckResult>(new ExplicitQuantitativeCheckResult<ValueType>(initialState, goalProbabilities[numberOfStatesBeforeRelevantStates[initialState]])); |
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return std::unique_ptr<CheckResult>(new ExplicitQuantitativeCheckResult<ValueType>(initialState, dir == OptimizationDirection::Maximize ? goalProbabilities[numberOfStatesBeforeRelevantStates[initialState]] : storm::utility::one<ValueType>() - goalProbabilities[numberOfStatesBeforeRelevantStates[initialState]])); |
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} |
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template class SparseMdpPrctlHelper<double>; |
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