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@ -35,11 +35,23 @@ namespace storm { |
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namespace modelchecker { |
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namespace helper { |
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/**
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* Data structure holding result vectors (vLower, vUpper, wUpper) for Unif+. |
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*/ |
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template<typename ValueType> |
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struct UnifPlusVectors { |
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UnifPlusVectors(uint64_t steps, uint64_t noStates) : numberOfStates(noStates), resLowerOld(numberOfStates, -1), resLowerNew(numberOfStates, -1), resUpperOld(numberOfStates, -1), resUpperNew(numberOfStates, -1) { |
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// Intentionally empty.
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wUpper = std::vector<std::vector<ValueType>>(steps, std::vector<ValueType>(numberOfStates, -1)); |
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UnifPlusVectors() { |
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// Intentionally empty
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} |
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/**
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* Initialize results vectors. vLowerOld, vUpperOld and wUpper[k=N] are initialized with zeros. |
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*/ |
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UnifPlusVectors(uint64_t steps, uint64_t noStates) : numberOfStates(noStates), resLowerOld(numberOfStates, storm::utility::zero<ValueType>()), resLowerNew(numberOfStates, -1), resUpperOld(numberOfStates, storm::utility::zero<ValueType>()), resUpperNew(numberOfStates, storm::utility::zero<ValueType>()) { |
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// For wUpper we have to keep track of all previous results
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wUpper = std::vector<std::vector<ValueType>>(steps+1, std::vector<ValueType>(numberOfStates, -1)); |
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// Initialize entries for step N with zeros
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std::fill(wUpper[steps].begin(), wUpper[steps].end(), storm::utility::zero<ValueType>()); |
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} |
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/**
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@ -49,7 +61,7 @@ namespace storm { |
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resLowerOld.swap(resLowerNew); |
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std::fill(resLowerNew.begin(), resLowerNew.end(), -1); |
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resUpperOld.swap(resUpperNew); |
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std::fill(resUpperNew.begin(), resUpperNew.end(), -1); |
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std::fill(resUpperNew.begin(), resUpperNew.end(), storm::utility::zero<ValueType>()); |
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} |
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uint64_t numberOfStates; |
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@ -62,6 +74,7 @@ namespace storm { |
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template<typename ValueType> |
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void calculateUnifPlusVector(Environment const& env, uint64_t k, uint64_t state, bool calcLower, ValueType lambda, uint64_t numberOfProbabilisticChoices, std::vector<std::vector<ValueType>> const & relativeReachability, OptimizationDirection dir, UnifPlusVectors<ValueType>& unifVectors, storm::storage::SparseMatrix<ValueType> const& fullTransitionMatrix, storm::storage::BitVector const& markovianStates, storm::storage::BitVector const& psiStates, std::unique_ptr<storm::solver::MinMaxLinearEquationSolver<ValueType>> const& solver, storm::utility::numerical::FoxGlynnResult<ValueType> const& poisson, bool cycleFree) { |
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// Set reference to acutal vector
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std::vector<ValueType>& resVectorOld = calcLower ? unifVectors.resLowerOld : unifVectors.wUpper[k+1]; |
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std::vector<ValueType>& resVectorNew = calcLower ? unifVectors.resLowerNew : unifVectors.wUpper[k]; |
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@ -188,29 +201,6 @@ namespace storm { |
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// Expand the solution for the probabilistic states to all states.
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storm::utility::vector::setVectorValues(resVectorNew, ~markovianStates, x); |
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} |
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template <typename ValueType> |
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void calculateResUpper(Environment const& env, std::vector<std::vector<ValueType>> const& relativeReachability, OptimizationDirection dir, uint64_t k, uint64_t state, ValueType lambda, uint64_t numberOfProbabilisticStates, UnifPlusVectors<ValueType>& unifVectors, storm::storage::SparseMatrix<ValueType> const& fullTransitionMatrix, storm::storage::BitVector const& markovianStates, storm::storage::BitVector const& psiStates, std::unique_ptr<storm::solver::MinMaxLinearEquationSolver<ValueType>> const& solver, storm::utility::numerical::FoxGlynnResult<ValueType> const & poisson, bool cycleFree) { |
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// Avoiding multiple computation of the same value.
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if (unifVectors.resUpperNew[state] != -1) { |
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STORM_LOG_ASSERT(false, "Result was already calculated."); |
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return; |
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} |
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uint64_t N = unifVectors.wUpper.size() - 1; |
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ValueType res = storm::utility::zero<ValueType>(); |
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for (uint64_t i = k; i < N; ++i) { |
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if (unifVectors.wUpper[N-1-(i-k)][state] == -1) { |
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STORM_LOG_ASSERT(false, "Need to calculate previous result."); |
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calculateUnifPlusVector(env, N-1-(i-k), state, false, lambda, numberOfProbabilisticStates, relativeReachability, dir, unifVectors, fullTransitionMatrix, markovianStates, psiStates, solver, poisson, cycleFree); |
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} |
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if (i >= poisson.left && i <= poisson.right) { |
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res += poisson.weights[i - poisson.left] * unifVectors.wUpper[N-1-(i-k)][state]; |
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} |
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} |
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unifVectors.resUpperNew[state] = res; |
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} |
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template <typename ValueType> |
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void eliminateProbabilisticSelfLoops(storm::storage::SparseMatrix<ValueType>& transitionMatrix, storm::storage::BitVector const& markovianStates) { |
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@ -259,7 +249,7 @@ namespace storm { |
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bool cycleFree = sccDecomposition.empty(); |
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// Vectors to store computed vectors.
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UnifPlusVectors<ValueType> unifVectors(0, 0); |
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UnifPlusVectors<ValueType> unifVectors; |
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// Transitions from goal states will be ignored. However, we mark them as non-probabilistic to make sure
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// we do not apply the MDP algorithm to them.
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@ -383,22 +373,39 @@ namespace storm { |
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} |
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// (4) Define vectors/matrices.
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unifVectors = UnifPlusVectors<ValueType>(N+1, numberOfStates); |
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// Initialize result vectors and already insert zeros for iteration N
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unifVectors = UnifPlusVectors<ValueType>(N, numberOfStates); |
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// (5) Compute vectors and maxNorm.
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for (int64_t k = N; k >= 0; --k) { |
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for (uint64_t i = 0; i < numberOfStates; ++i) { |
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calculateUnifPlusVector(env, k, i, true, lambda, numberOfProbabilisticChoices, relativeReachabilities, dir, unifVectors, fullTransitionMatrix, markovianAndGoalStates, psiStates, solver, foxGlynnResult, cycleFree); |
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calculateUnifPlusVector(env, k, i, false, lambda, numberOfProbabilisticChoices, relativeReachabilities, dir, unifVectors, fullTransitionMatrix, markovianAndGoalStates, psiStates, solver, foxGlynnResult, cycleFree); |
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calculateResUpper(env, relativeReachabilities, dir, k, i, lambda, numberOfProbabilisticChoices, unifVectors, fullTransitionMatrix, markovianAndGoalStates, psiStates, solver, foxGlynnResult, cycleFree); |
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// Iteration k = N was already performed by initializing with zeros.
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// Iterations k < N
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for (int64_t k = N-1; k >= 0; --k) { |
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if (k < (int64_t)(N-1)) { |
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unifVectors.prepareNewIteration(); |
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} |
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for (uint64_t state = 0; state < numberOfStates; ++state) { |
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// Calculate results for lower bound and wUpper
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calculateUnifPlusVector(env, k, state, true, lambda, numberOfProbabilisticChoices, relativeReachabilities, dir, unifVectors, fullTransitionMatrix, markovianAndGoalStates, psiStates, solver, foxGlynnResult, cycleFree); |
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calculateUnifPlusVector(env, k, state, false, lambda, numberOfProbabilisticChoices, relativeReachabilities, dir, unifVectors, fullTransitionMatrix, markovianAndGoalStates, psiStates, solver, foxGlynnResult, cycleFree); |
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} |
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// Calculate result for upper bound
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// resUpperNew was already initialized with zeros
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uint64_t left = std::max(foxGlynnResult.left, (uint64_t)(k)); |
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uint64_t right = std::min(foxGlynnResult.right, N-1); |
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for (uint64_t state = 0; state < numberOfStates; ++state) { |
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for (uint64_t i = left; i <= right; ++i) { |
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STORM_LOG_ASSERT(unifVectors.wUpper[N-1-(i-k)][state] != -1, "wUpper was not computed before."); |
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unifVectors.resUpperNew[state] += foxGlynnResult.weights[i - foxGlynnResult.left] * unifVectors.wUpper[N-1-(i-k)][state]; |
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} |
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} |
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unifVectors.prepareNewIteration(); |
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} |
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// Only iterate over result vector, as the results can only get more precise.
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maxNorm = storm::utility::zero<ValueType>(); |
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for (uint64_t i = 0; i < numberOfStates; i++){ |
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ValueType diff = storm::utility::abs(unifVectors.resUpperOld[i] - unifVectors.resLowerOld[i]); |
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ValueType diff = storm::utility::abs(unifVectors.resUpperNew[i] - unifVectors.resLowerNew[i]); |
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maxNorm = std::max(maxNorm, diff); |
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} |
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@ -408,7 +415,7 @@ namespace storm { |
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} while (maxNorm > epsilon * (1 - kappa)); |
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return unifVectors.resLowerOld; |
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return unifVectors.resLowerNew; |
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} |
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template <typename ValueType> |
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