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Started working on a more clever way to do bisimulation minimization.
Started working on a more clever way to do bisimulation minimization.
Former-commit-id: a2939ececb
tempestpy_adaptions
dehnert
10 years ago
5 changed files with 351 additions and 1 deletions
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13src/models/AtomicPropositionsLabeling.h
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2src/storage/BisimulationDecomposition.cpp
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242src/storage/BisimulationDecomposition2.cpp
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93src/storage/BisimulationDecomposition2.h
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2src/utility/cli.h
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#include "src/storage/BisimulationDecomposition2.h"
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#include <algorithm>
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#include <unordered_map>
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#include <chrono>
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namespace storm { |
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namespace storage { |
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template<typename ValueType> |
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BisimulationDecomposition2<ValueType>::Block::Block(storm::storage::sparse::state_type begin, storm::storage::sparse::state_type end, Block* prev, Block* next) : begin(begin), end(end), prev(prev), next(next), numberOfStates(end - begin) { |
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// Intentionally left empty.
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} |
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template<typename ValueType> |
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BisimulationDecomposition2<ValueType>::Partition::Partition(std::size_t numberOfStates) : stateToBlockMapping(numberOfStates), states(numberOfStates), positions(numberOfStates), values(numberOfStates) { |
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this->blocks.back().itToSelf = blocks.emplace(this->blocks.end(), 0, numberOfStates, nullptr); |
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for (storm::storage::sparse::state_type state = 0; state < numberOfStates; ++state) { |
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states[state] = state; |
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positions[state] = state; |
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stateToBlockMapping[state] = &blocks.back(); |
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} |
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} |
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template<typename ValueType> |
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void BisimulationDecomposition2<ValueType>::Partition::splitLabel(storm::storage::BitVector const& statesWithLabel) { |
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for (auto blockIterator = this->blocks.begin(), ite = this->blocks.end(); blockIterator != ite; ) { // The update of the loop was intentionally moved to the bottom of the loop.
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Block& block = *blockIterator; |
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// Sort the range of the block such that all states that have the label are moved to the front.
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std::sort(this->states.begin() + block.begin, this->states.begin() + block.end, [&statesWithLabel] (storm::storage::sparse::state_type const& a, storm::storage::sparse::state_type const& b) { return statesWithLabel.get(a) && !statesWithLabel.get(b); } ); |
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// Update the positions vector.
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storm::storage::sparse::state_type position = block.begin; |
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for (auto stateIt = this->states.begin() + block.begin, stateIte = this->states.begin() + block.end; stateIt != stateIte; ++stateIt, ++position) { |
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this->positions[*stateIt] = position; |
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} |
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// Now we can find the first position in the block that does not have the label and create new blocks.
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std::vector<storm::storage::sparse::state_type>::iterator it = std::find_if(this->states.begin() + block.begin, this->states.begin() + block.end, [&] (storm::storage::sparse::state_type const& a) { return !statesWithLabel.get(a); }); |
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// If not all the states agreed on the validity of the label, we need to split the block.
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if (it != this->states.begin() + block.begin && it != this->states.begin() + block.end) { |
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auto cutPoint = std::distance(this->states.begin(), it); |
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++blockIterator; |
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auto newBlockIterator = this->blocks.emplace(blockIterator, cutPoint, block.end, &(*blockIterator), block.next); |
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// Make the old block end at the cut position and insert a new block after it.
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block.end = cutPoint; |
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block.next = &(*newBlockIterator); |
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block.numberOfStates = block.end - block.begin; |
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} else { |
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// Otherwise, we simply proceed to the next block.
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++blockIterator; |
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} |
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} |
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} |
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template<typename ValueType> |
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void BisimulationDecomposition2<ValueType>::Partition::print() const { |
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for (auto const& block : this->blocks) { |
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std::cout << "begin: " << block.begin << " and end: " << block.end << " (number of states: " << block.numberOfStates << ")" << std::endl; |
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std::cout << "states:" << std::endl; |
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for (storm::storage::sparse::state_type index = block.begin; index < block.end; ++index) { |
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std::cout << this->states[index] << " " << std::endl; |
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} |
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} |
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} |
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template<typename ValueType> |
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std::size_t BisimulationDecomposition2<ValueType>::Partition::size() const { |
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return this->blocks.size(); |
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} |
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template<typename ValueType> |
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BisimulationDecomposition2<ValueType>::BisimulationDecomposition2(storm::models::Dtmc<ValueType> const& dtmc, bool weak) { |
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computeBisimulationEquivalenceClasses(dtmc, weak); |
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} |
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template<typename ValueType> |
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void BisimulationDecomposition2<ValueType>::computeBisimulationEquivalenceClasses(storm::models::Dtmc<ValueType> const& dtmc, bool weak) { |
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std::chrono::high_resolution_clock::time_point totalStart = std::chrono::high_resolution_clock::now(); |
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// We start by computing the initial partition.
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Partition partition(dtmc.getNumberOfStates()); |
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partition.print(); |
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for (auto const& label : dtmc.getStateLabeling().getAtomicPropositions()) { |
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if (label == "init") { |
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continue; |
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} |
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partition.splitLabel(dtmc.getLabeledStates(label)); |
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} |
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std::cout << "initial partition:" << std::endl; |
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partition.print(); |
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// Initially, all blocks are potential splitter, so we insert them in the splitterQueue.
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std::deque<Block*> splitterQueue; |
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std::for_each(partition.blocks.begin(), partition.blocks.end(), [&] (Block& a) { splitterQueue.push_back(&a); }); |
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storm::storage::SparseMatrix<ValueType> backwardTransitions = dtmc.getBackwardTransitions(); |
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// Then perform the actual splitting until there are no more splitters.
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while (!splitterQueue.empty()) { |
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splitPartition(backwardTransitions, *splitterQueue.front(), partition, splitterQueue); |
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splitterQueue.pop_front(); |
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} |
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std::chrono::high_resolution_clock::duration totalTime = std::chrono::high_resolution_clock::now() - totalStart; |
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std::cout << "Bisimulation took " << std::chrono::duration_cast<std::chrono::milliseconds>(totalTime).count() << "ms." << std::endl; |
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} |
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template<typename ValueType> |
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std::size_t BisimulationDecomposition2<ValueType>::splitPartition(storm::storage::SparseMatrix<ValueType> const& backwardTransitions, Block const& splitter, Partition& partition, std::deque<Block*>& splitterQueue) { |
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std::list<Block*> predecessorBlocks; |
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// Iterate over all states of the splitter and check its predecessors.
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for (auto stateIterator = partition.states.begin() + splitter.begin, stateIte = partition.states.begin() + splitter.end; stateIterator != stateIte; ++stateIterator) { |
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storm::storage::sparse::state_type& state = *stateIterator; |
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for (auto const& predecessorEntry : backwardTransitions.getRow(state)) { |
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storm::storage::sparse::state_type predecessor = predecessorEntry.getColumn(); |
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Block* predecessorBlock = partition.stateToBlockMapping[predecessor]; |
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storm::storage::sparse::state_type predecessorPosition = partition.positions[predecessor]; |
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// If we have not seen this predecessor before, we move it to a part near the beginning of the block.
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if (predecessorPosition < predecessorBlock->begin) { |
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std::swap(partition.states[predecessorPosition], partition.states[predecessorBlock->begin]); |
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std::swap(partition.positions[predecessor], partition.positions[predecessorBlock->begin]); |
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++predecessorBlock->begin; |
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partition.values[predecessor] = predecessorEntry.getValue(); |
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} else { |
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// Otherwise, we just need to update the probability for this predecessor.
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partition.values[predecessor] += predecessorEntry.getValue(); |
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} |
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if (!predecessorBlock->isMarked) { |
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predecessorBlocks.emplace_back(predecessorBlock); |
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predecessorBlock->isMarked = true; |
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} |
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} |
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} |
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// Now, we can iterate over the predecessor blocks and see whether we have to create a new block for
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// predecessors of the splitter.
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for (auto block : predecessorBlocks) { |
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// If we have moved the begin of the block to somewhere in the middle of the block, we need to split it.
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if (block->begin != block->end) { |
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storm::storage::sparse::state_type tmpBegin = block->begin; |
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storm::storage::sparse::state_type tmpEnd = block->end; |
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} |
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} |
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return 0; |
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} |
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// template<typename ValueType>
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// std::size_t BisimulationDecomposition2<ValueType>::splitPartition(storm::models::Dtmc<ValueType> const& dtmc, storm::storage::SparseMatrix<ValueType> const& backwardTransitions, std::size_t const& blockId, std::vector<std::size_t>& stateToBlockMapping, storm::storage::BitVector& blocksInSplitterQueue, std::deque<std::size_t>& splitterQueue, bool weakBisimulation) {
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// std::chrono::high_resolution_clock::time_point totalStart = std::chrono::high_resolution_clock::now();
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// std::unordered_map<storm::storage::Distribution<ValueType>, typename BisimulationDecomposition2<ValueType>::block_type> distributionToNewBlocks;
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//
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// // Traverse all states of the block and check whether they have different distributions.
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// std::chrono::high_resolution_clock::time_point gatherStart = std::chrono::high_resolution_clock::now();
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// for (auto const& state : this->blocks[blockId]) {
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// // Now construct the distribution of this state wrt. to the current partitioning.
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// storm::storage::Distribution<ValueType> distribution;
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// for (auto const& successorEntry : dtmc.getTransitionMatrix().getRow(state)) {
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// distribution.addProbability(static_cast<storm::storage::sparse::state_type>(stateToBlockMapping[successorEntry.getColumn()]), successorEntry.getValue());
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// }
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//
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// // If we are requested to compute a weak bisimulation, we need to scale the distribution with the
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// // self-loop probability.
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// if (weakBisimulation) {
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// distribution.scale(blockId);
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// }
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//
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// // If the distribution already exists, we simply add the state. Otherwise, we open a new block.
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// auto distributionIterator = distributionToNewBlocks.find(distribution);
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// if (distributionIterator != distributionToNewBlocks.end()) {
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// distributionIterator->second.insert(state);
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// } else {
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// distributionToNewBlocks[distribution].insert(state);
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// }
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// }
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//
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// std::chrono::high_resolution_clock::duration gatherTime = std::chrono::high_resolution_clock::now() - gatherStart;
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// std::cout << "time to iterate over all states was " << std::chrono::duration_cast<std::chrono::milliseconds>(gatherTime).count() << "ms." << std::endl;
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//
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// // Now we are ready to split the block.
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// if (distributionToNewBlocks.size() == 1) {
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// // If there is just one behavior, we just set the distribution as the new one for this block.
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// // distributions[blockId] = std::move(distributionToNewBlocks.begin()->first);
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// } else {
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// // In this case, we need to split the block.
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// typename BisimulationDecomposition2<ValueType>::block_type tmpBlock;
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//
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// auto distributionIterator = distributionToNewBlocks.begin();
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// tmpBlock = std::move(distributionIterator->second);
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// std::swap(this->blocks[blockId], tmpBlock);
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// ++distributionIterator;
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//
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// // Remember the number of blocks prior to splitting for later use.
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// std::size_t beforeNumberOfBlocks = this->blocks.size();
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//
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// for (; distributionIterator != distributionToNewBlocks.end(); ++distributionIterator) {
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// // In this case, we need to move the newly created block to the end of the list of actual blocks.
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// this->blocks.emplace_back(std::move(distributionIterator->second));
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//
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// // Update the mapping of states to their blocks.
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// std::size_t newBlockId = this->blocks.size() - 1;
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// for (auto const& state : this->blocks.back()) {
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// stateToBlockMapping[state] = newBlockId;
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// }
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// }
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//
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// // Insert blocks that possibly need a refinement into the queue.
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// for (auto const& state : tmpBlock) {
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// for (auto const& predecessor : backwardTransitions.getRow(state)) {
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// if (!blocksInRefinementQueue.get(stateToBlockMapping[predecessor.getColumn()])) {
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// blocksInRefinementQueue.set(stateToBlockMapping[predecessor.getColumn()]);
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// refinementQueue.push_back(stateToBlockMapping[predecessor.getColumn()]);
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// }
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// }
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// }
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// }
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//
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// std::chrono::high_resolution_clock::duration totalTime = std::chrono::high_resolution_clock::now() - totalStart;
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// std::cout << "refinement of block " << blockId << " took " << std::chrono::duration_cast<std::chrono::milliseconds>(totalTime).count() << "ms." << std::endl;
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// return distributionToNewBlocks.size();
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// }
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template class BisimulationDecomposition2<double>; |
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} |
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} |
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#ifndef STORM_STORAGE_BISIMULATIONDECOMPOSITION2_H_ |
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#define STORM_STORAGE_BISIMULATIONDECOMPOSITION2_H_ |
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#include <queue> |
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#include <deque> |
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#include "src/storage/sparse/StateType.h" |
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#include "src/storage/Decomposition.h" |
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#include "src/models/Dtmc.h" |
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#include "src/storage/Distribution.h" |
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namespace storm { |
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namespace storage { |
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/*! |
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* This class represents the decomposition model into its bisimulation quotient. |
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*/ |
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template <typename ValueType> |
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class BisimulationDecomposition2 : public Decomposition<StateBlock> { |
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public: |
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BisimulationDecomposition2() = default; |
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/*! |
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* Decomposes the given DTMC into equivalence classes under weak or strong bisimulation. |
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*/ |
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BisimulationDecomposition2(storm::models::Dtmc<ValueType> const& model, bool weak = false); |
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private: |
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class Block { |
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public: |
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Block(storm::storage::sparse::state_type begin, storm::storage::sparse::state_type end, Block* prev, Block* next); |
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// An iterator to itself. This is needed to conveniently insert elements in the overall list of blocks |
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// kept by the partition. |
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typename std::list<Block>::iterator itToSelf; |
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// The begin and end indices of the block in terms of the state vector of the partition. |
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storm::storage::sparse::state_type begin; |
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storm::storage::sparse::state_type end; |
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// The block before and after the current one. |
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Block* prev; |
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Block* next; |
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// The number of states in the block. |
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std::size_t numberOfStates; |
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// A field that can be used for marking the block. |
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bool isMarked; |
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}; |
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class Partition { |
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public: |
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/*! |
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* Creates a partition with one block consisting of all the states. |
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*/ |
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Partition(std::size_t numberOfStates); |
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/*! |
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* Splits all blocks of the partition such that afterwards all blocks contain only states with the label |
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* or no labeled state at all. |
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*/ |
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void splitLabel(storm::storage::BitVector const& statesWithLabel); |
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// The list of blocks in the partition. |
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std::list<Block> blocks; |
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// A mapping of states to their blocks. |
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std::vector<Block*> stateToBlockMapping; |
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// A vector containing all the states. It is ordered in a special way such that the blocks only need to |
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// define their start/end indices. |
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std::vector<storm::storage::sparse::state_type> states; |
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// This vector keeps track of the position of each state in the state vector. |
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std::vector<storm::storage::sparse::state_type> positions; |
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// This vector stores the probabilities of going to the current splitter. |
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std::vector<ValueType> values; |
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std::size_t size() const; |
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void print() const; |
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}; |
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void computeBisimulationEquivalenceClasses(storm::models::Dtmc<ValueType> const& model, bool weak); |
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std::size_t splitPartition(storm::storage::SparseMatrix<ValueType> const& backwardTransitions, Block const& splitter, Partition& partition, std::deque<Block*>& splitterQueue); |
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}; |
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} |
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} |
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#endif /* STORM_STORAGE_BISIMULATIONDECOMPOSITION2_H_ */ |
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