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#include "src/storage/DeterministicModelStrongBisimulationDecomposition.h"
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#include <algorithm>
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#include <unordered_map>
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#include <chrono>
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#include <iomanip>
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#include <boost/iterator/transform_iterator.hpp>
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#include "src/utility/graph.h"
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#include "src/exceptions/IllegalFunctionCallException.h"
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namespace storm { |
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namespace storage { |
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template<typename ValueType> |
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std::size_t DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::blockId = 0; |
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template<typename ValueType> |
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DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::Block(storm::storage::sparse::state_type begin, storm::storage::sparse::state_type end, Block* prev, Block* next, std::shared_ptr<std::string> const& label) : next(next), prev(prev), begin(begin), end(end), markedAsSplitter(false), markedAsPredecessorBlock(false), markedPosition(begin), absorbing(false), id(blockId++), label(label) { |
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if (next != nullptr) { |
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next->prev = this; |
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} |
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if (prev != nullptr) { |
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prev->next = this; |
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} |
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STORM_LOG_ASSERT(begin < end, "Unable to create block of illegal size."); |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::print(Partition const& partition) const { |
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std::cout << "block " << this->getId() << " with marked position " << this->getMarkedPosition() << " and original begin " << this->getOriginalBegin() << std::endl; |
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std::cout << "begin: " << this->begin << " and end: " << this->end << " (number of states: " << this->getNumberOfStates() << ")" << std::endl; |
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std::cout << "states:" << std::endl; |
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for (storm::storage::sparse::state_type index = this->begin; index < this->end; ++index) { |
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std::cout << partition.statesAndValues[index].first << " "; |
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} |
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std::cout << std::endl << "original: " << std::endl; |
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for (storm::storage::sparse::state_type index = this->getOriginalBegin(); index < this->end; ++index) { |
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std::cout << partition.statesAndValues[index].first << " "; |
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} |
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std::cout << std::endl << "values:" << std::endl; |
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for (storm::storage::sparse::state_type index = this->begin; index < this->end; ++index) { |
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std::cout << std::setprecision(3) << partition.statesAndValues[index].second << " "; |
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} |
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std::cout << std::endl; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::setBegin(storm::storage::sparse::state_type begin) { |
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this->begin = begin; |
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this->markedPosition = begin; |
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STORM_LOG_ASSERT(begin < end, "Unable to resize block to illegal size."); |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::setEnd(storm::storage::sparse::state_type end) { |
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this->end = end; |
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STORM_LOG_ASSERT(begin < end, "Unable to resize block to illegal size."); |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::incrementBegin() { |
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++this->begin; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::decrementEnd() { |
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++this->begin; |
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} |
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template<typename ValueType> |
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storm::storage::sparse::state_type DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getBegin() const { |
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return this->begin; |
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} |
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template<typename ValueType> |
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storm::storage::sparse::state_type DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getOriginalBegin() const { |
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if (this->hasPreviousBlock()) { |
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return this->getPreviousBlock().getEnd(); |
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} else { |
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return 0; |
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} |
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} |
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template<typename ValueType> |
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storm::storage::sparse::state_type DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getEnd() const { |
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return this->end; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::setIterator(iterator it) { |
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this->selfIt = it; |
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} |
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template<typename ValueType> |
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typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::iterator DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getIterator() const { |
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return this->selfIt; |
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} |
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template<typename ValueType> |
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typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::iterator DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getNextIterator() const { |
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return this->getNextBlock().getIterator(); |
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} |
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template<typename ValueType> |
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typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::iterator DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getPreviousIterator() const { |
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return this->getPreviousBlock().getIterator(); |
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} |
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template<typename ValueType> |
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typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block& DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getNextBlock() { |
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return *this->next; |
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} |
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template<typename ValueType> |
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typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block const& DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getNextBlock() const { |
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return *this->next; |
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} |
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template<typename ValueType> |
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bool DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::hasNextBlock() const { |
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return this->next != nullptr; |
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} |
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template<typename ValueType> |
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typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block& DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getPreviousBlock() { |
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return *this->prev; |
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} |
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template<typename ValueType> |
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typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block* DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getPreviousBlockPointer() { |
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return this->prev; |
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} |
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template<typename ValueType> |
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typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block* DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getNextBlockPointer() { |
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return this->next; |
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} |
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template<typename ValueType> |
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typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block const& DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getPreviousBlock() const { |
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return *this->prev; |
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} |
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template<typename ValueType> |
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bool DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::hasPreviousBlock() const { |
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return this->prev != nullptr; |
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} |
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template<typename ValueType> |
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bool DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::check() const { |
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if (this->begin >= this->end) { |
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assert(false); |
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} |
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if (this->prev != nullptr) { |
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assert (this->prev->next == this); |
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} |
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if (this->next != nullptr) { |
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assert (this->next->prev == this); |
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} |
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return true; |
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} |
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template<typename ValueType> |
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std::size_t DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getNumberOfStates() const { |
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// We need to take the original begin here, because the begin is temporarily moved.
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return (this->end - this->getOriginalBegin()); |
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} |
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template<typename ValueType> |
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bool DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::isMarkedAsSplitter() const { |
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return this->markedAsSplitter; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::markAsSplitter() { |
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this->markedAsSplitter = true; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::unmarkAsSplitter() { |
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this->markedAsSplitter = false; |
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} |
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template<typename ValueType> |
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std::size_t DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getId() const { |
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return this->id; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::setAbsorbing(bool absorbing) { |
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this->absorbing = absorbing; |
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} |
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template<typename ValueType> |
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bool DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::isAbsorbing() const { |
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return this->absorbing; |
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} |
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template<typename ValueType> |
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storm::storage::sparse::state_type DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getMarkedPosition() const { |
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return this->markedPosition; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::setMarkedPosition(storm::storage::sparse::state_type position) { |
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this->markedPosition = position; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::resetMarkedPosition() { |
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this->markedPosition = this->begin; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::incrementMarkedPosition() { |
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++this->markedPosition; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::markAsPredecessorBlock() { |
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this->markedAsPredecessorBlock = true; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::unmarkAsPredecessorBlock() { |
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this->markedAsPredecessorBlock = false; |
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} |
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template<typename ValueType> |
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bool DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::isMarkedAsPredecessor() const { |
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return markedAsPredecessorBlock; |
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} |
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template<typename ValueType> |
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bool DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::hasLabel() const { |
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return this->label != nullptr; |
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} |
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template<typename ValueType> |
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std::string const& DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getLabel() const { |
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STORM_LOG_THROW(this->label != nullptr, storm::exceptions::IllegalFunctionCallException, "Unable to retrieve label of block that has none."); |
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return *this->label; |
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} |
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template<typename ValueType> |
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std::shared_ptr<std::string> const& DeterministicModelStrongBisimulationDecomposition<ValueType>::Block::getLabelPtr() const { |
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return this->label; |
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} |
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template<typename ValueType> |
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DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::Partition(std::size_t numberOfStates) : stateToBlockMapping(numberOfStates), statesAndValues(numberOfStates), positions(numberOfStates) { |
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// Create the block and give it an iterator to itself.
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typename std::list<Block>::iterator it = blocks.emplace(this->blocks.end(), 0, numberOfStates, nullptr, nullptr); |
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it->setIterator(it); |
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// Set up the different parts of the internal structure.
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for (storm::storage::sparse::state_type state = 0; state < numberOfStates; ++state) { |
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statesAndValues[state] = std::make_pair(state, storm::utility::zero<ValueType>()); |
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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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DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::Partition(std::size_t numberOfStates, storm::storage::BitVector const& prob0States, storm::storage::BitVector const& prob1States, std::string const& otherLabel, std::string const& prob1Label) : stateToBlockMapping(numberOfStates), statesAndValues(numberOfStates), positions(numberOfStates) { |
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typename std::list<Block>::iterator firstIt = blocks.emplace(this->blocks.end(), 0, prob0States.getNumberOfSetBits(), nullptr, nullptr); |
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Block& firstBlock = *firstIt; |
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firstBlock.setIterator(firstIt); |
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storm::storage::sparse::state_type position = 0; |
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for (auto state : prob0States) { |
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statesAndValues[position] = std::make_pair(state, storm::utility::zero<ValueType>()); |
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positions[state] = position; |
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stateToBlockMapping[state] = &firstBlock; |
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++position; |
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} |
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firstBlock.setAbsorbing(true); |
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typename std::list<Block>::iterator secondIt = blocks.emplace(this->blocks.end(), position, position + prob1States.getNumberOfSetBits(), &firstBlock, nullptr, std::shared_ptr<std::string>(new std::string(prob1Label))); |
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Block& secondBlock = *secondIt; |
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secondBlock.setIterator(secondIt); |
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for (auto state : prob1States) { |
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statesAndValues[position] = std::make_pair(state, storm::utility::zero<ValueType>()); |
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positions[state] = position; |
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stateToBlockMapping[state] = &secondBlock; |
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++position; |
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} |
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secondBlock.setAbsorbing(true); |
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typename std::list<Block>::iterator thirdIt = blocks.emplace(this->blocks.end(), position, numberOfStates, &secondBlock, nullptr, otherLabel == "true" ? std::shared_ptr<std::string>(nullptr) : std::shared_ptr<std::string>(new std::string(otherLabel))); |
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Block& thirdBlock = *thirdIt; |
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thirdBlock.setIterator(thirdIt); |
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storm::storage::BitVector otherStates = ~(prob0States | prob1States); |
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for (auto state : otherStates) { |
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statesAndValues[position] = std::make_pair(state, storm::utility::zero<ValueType>()); |
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positions[state] = position; |
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stateToBlockMapping[state] = &thirdBlock; |
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++position; |
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} |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::swapStates(storm::storage::sparse::state_type state1, storm::storage::sparse::state_type state2) { |
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std::swap(this->statesAndValues[this->positions[state1]], this->statesAndValues[this->positions[state2]]); |
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std::swap(this->positions[state1], this->positions[state2]); |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::swapStatesAtPositions(storm::storage::sparse::state_type position1, storm::storage::sparse::state_type position2) { |
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storm::storage::sparse::state_type state1 = this->statesAndValues[position1].first; |
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storm::storage::sparse::state_type state2 = this->statesAndValues[position2].first; |
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std::swap(this->statesAndValues[position1], this->statesAndValues[position2]); |
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this->positions[state1] = position2; |
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this->positions[state2] = position1; |
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} |
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template<typename ValueType> |
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storm::storage::sparse::state_type const& DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::getPosition(storm::storage::sparse::state_type state) const { |
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return this->positions[state]; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::setPosition(storm::storage::sparse::state_type state, storm::storage::sparse::state_type position) { |
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this->positions[state] = position; |
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} |
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template<typename ValueType> |
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storm::storage::sparse::state_type const& DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::getState(storm::storage::sparse::state_type position) const { |
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return this->statesAndValues[position].first; |
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} |
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template<typename ValueType> |
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ValueType const& DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::getValue(storm::storage::sparse::state_type state) const { |
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return this->statesAndValues[this->positions[state]].second; |
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} |
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template<typename ValueType> |
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ValueType const& DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::getValueAtPosition(storm::storage::sparse::state_type position) const { |
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return this->statesAndValues[position].second; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::setValue(storm::storage::sparse::state_type state, ValueType value) { |
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this->statesAndValues[this->positions[state]].second = value; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::increaseValue(storm::storage::sparse::state_type state, ValueType value) { |
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this->statesAndValues[this->positions[state]].second += value; |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::updateBlockMapping(Block& block, typename std::vector<std::pair<storm::storage::sparse::state_type, ValueType>>::iterator first, typename std::vector<std::pair<storm::storage::sparse::state_type, ValueType>>::iterator last) { |
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for (; first != last; ++first) { |
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this->stateToBlockMapping[first->first] = █ |
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} |
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} |
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template<typename ValueType> |
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typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block& DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::getFirstBlock() { |
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return *this->blocks.begin(); |
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} |
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template<typename ValueType> |
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typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block& DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::getBlock(storm::storage::sparse::state_type state) { |
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return *this->stateToBlockMapping[state]; |
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} |
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template<typename ValueType> |
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typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block const& DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::getBlock(storm::storage::sparse::state_type state) const { |
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return *this->stateToBlockMapping[state]; |
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} |
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template<typename ValueType> |
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typename std::vector<std::pair<storm::storage::sparse::state_type, ValueType>>::iterator DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::getBegin(Block const& block) { |
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return this->statesAndValues.begin() + block.getBegin(); |
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} |
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template<typename ValueType> |
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typename std::vector<std::pair<storm::storage::sparse::state_type, ValueType>>::iterator DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::getEnd(Block const& block) { |
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return this->statesAndValues.begin() + block.getEnd(); |
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} |
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template<typename ValueType> |
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typename std::vector<std::pair<storm::storage::sparse::state_type, ValueType>>::const_iterator DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::getBegin(Block const& block) const { |
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return this->statesAndValues.begin() + block.getBegin(); |
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} |
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template<typename ValueType> |
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typename std::vector<std::pair<storm::storage::sparse::state_type, ValueType>>::const_iterator DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::getEnd(Block const& block) const { |
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return this->statesAndValues.begin() + block.getEnd(); |
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} |
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template<typename ValueType> |
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typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block& DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::splitBlock(Block& block, storm::storage::sparse::state_type position) { |
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// In case one of the resulting blocks would be empty, we simply return the current block and do not create
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// a new one.
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if (position == block.getBegin() || position == block.getEnd()) { |
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return block; |
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} |
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// Actually create the new block and insert it at the correct position.
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|
typename std::list<Block>::iterator selfIt = this->blocks.emplace(block.getIterator(), block.getBegin(), position, block.getPreviousBlockPointer(), &block, block.getLabelPtr()); |
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|
selfIt->setIterator(selfIt); |
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|
Block& newBlock = *selfIt; |
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|
// Resize the current block appropriately.
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|
block.setBegin(position); |
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|
// Update the mapping of the states in the newly created block.
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|
this->updateBlockMapping(newBlock, this->getBegin(newBlock), this->getEnd(newBlock)); |
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|
return newBlock; |
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|
} |
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|
template<typename ValueType> |
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|
typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block& DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::insertBlock(Block& block) { |
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|
|
// Find the beginning of the new block.
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|
storm::storage::sparse::state_type begin; |
|
|
|
if (block.hasPreviousBlock()) { |
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|
|
begin = block.getPreviousBlock().getEnd(); |
|
|
|
} else { |
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|
|
begin = 0; |
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|
} |
|
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|
|
|
|
// Actually insert the new block.
|
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|
|
typename std::list<Block>::iterator it = this->blocks.emplace(block.getIterator(), begin, block.getBegin(), block.getPreviousBlockPointer(), &block); |
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|
|
Block& newBlock = *it; |
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|
|
newBlock.setIterator(it); |
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|
|
|
|
// Update the mapping of the states in the newly created block.
|
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|
|
for (auto it = this->getBegin(newBlock), ite = this->getEnd(newBlock); it != ite; ++it) { |
|
|
|
stateToBlockMapping[it->first] = &newBlock; |
|
|
|
} |
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|
|
|
|
return *it; |
|
|
|
} |
|
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|
|
|
template<typename ValueType> |
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|
|
void DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::splitLabel(storm::storage::BitVector const& statesWithLabel) { |
|
|
|
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; |
|
|
|
|
|
|
|
// 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->getBegin(block), this->getEnd(block), [&statesWithLabel] (std::pair<storm::storage::sparse::state_type, ValueType> const& a, std::pair<storm::storage::sparse::state_type, ValueType> const& b) { return statesWithLabel.get(a.first) && !statesWithLabel.get(b.first); } ); |
|
|
|
|
|
|
|
// Update the positions vector.
|
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|
|
storm::storage::sparse::state_type position = block.getBegin(); |
|
|
|
for (auto stateIt = this->getBegin(block), stateIte = this->getEnd(block); stateIt != stateIte; ++stateIt, ++position) { |
|
|
|
this->positions[stateIt->first] = position; |
|
|
|
} |
|
|
|
|
|
|
|
// Now we can find the first position in the block that does not have the label and create new blocks.
|
|
|
|
typename std::vector<std::pair<storm::storage::sparse::state_type, ValueType>>::iterator it = std::find_if(this->getBegin(block), this->getEnd(block), [&] (std::pair<storm::storage::sparse::state_type, ValueType> const& a) { return !statesWithLabel.get(a.first); }); |
|
|
|
|
|
|
|
// If not all the states agreed on the validity of the label, we need to split the block.
|
|
|
|
if (it != this->getBegin(block) && it != this->getEnd(block)) { |
|
|
|
auto cutPoint = std::distance(this->statesAndValues.begin(), it); |
|
|
|
this->splitBlock(block, cutPoint); |
|
|
|
} else { |
|
|
|
// Otherwise, we simply proceed to the next block.
|
|
|
|
++blockIterator; |
|
|
|
} |
|
|
|
} |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
std::list<typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block> const& DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::getBlocks() const { |
|
|
|
return this->blocks; |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
std::vector<std::pair<storm::storage::sparse::state_type, ValueType>>& DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::getStatesAndValues() { |
|
|
|
return this->statesAndValues; |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
std::list<typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Block>& DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::getBlocks() { |
|
|
|
return this->blocks; |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
bool DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::check() const { |
|
|
|
for (uint_fast64_t state = 0; state < this->positions.size(); ++state) { |
|
|
|
if (this->statesAndValues[this->positions[state]].first != state) { |
|
|
|
assert(false); |
|
|
|
} |
|
|
|
} |
|
|
|
for (auto const& block : this->blocks) { |
|
|
|
assert(block.check()); |
|
|
|
for (auto stateIt = this->getBegin(block), stateIte = this->getEnd(block); stateIt != stateIte; ++stateIt) { |
|
|
|
if (this->stateToBlockMapping[stateIt->first] != &block) { |
|
|
|
assert(false); |
|
|
|
} |
|
|
|
} |
|
|
|
} |
|
|
|
return true; |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
void DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::print() const { |
|
|
|
for (auto const& block : this->blocks) { |
|
|
|
block.print(*this); |
|
|
|
} |
|
|
|
std::cout << "states in partition" << std::endl; |
|
|
|
for (auto const& stateValue : statesAndValues) { |
|
|
|
std::cout << stateValue.first << " "; |
|
|
|
} |
|
|
|
std::cout << std::endl << "positions: " << std::endl; |
|
|
|
for (auto const& index : positions) { |
|
|
|
std::cout << index << " "; |
|
|
|
} |
|
|
|
std::cout << std::endl << "state to block mapping: " << std::endl; |
|
|
|
for (auto const& block : stateToBlockMapping) { |
|
|
|
std::cout << block << " "; |
|
|
|
} |
|
|
|
std::cout << std::endl; |
|
|
|
std::cout << "size: " << this->blocks.size() << std::endl; |
|
|
|
assert(this->check()); |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
std::size_t DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition::size() const { |
|
|
|
return this->blocks.size(); |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
DeterministicModelStrongBisimulationDecomposition<ValueType>::DeterministicModelStrongBisimulationDecomposition(storm::models::Dtmc<ValueType> const& model, bool buildQuotient) { |
|
|
|
STORM_LOG_THROW(!model.hasStateRewards() && !model.hasTransitionRewards(), storm::exceptions::IllegalFunctionCallException, "Bisimulation is currently only supported for models without reward structures."); |
|
|
|
Partition initialPartition = getLabelBasedInitialPartition(model); |
|
|
|
partitionRefinement(model, model.getBackwardTransitions(), initialPartition, buildQuotient); |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
DeterministicModelStrongBisimulationDecomposition<ValueType>::DeterministicModelStrongBisimulationDecomposition(storm::models::Ctmc<ValueType> const& model, bool buildQuotient) { |
|
|
|
STORM_LOG_THROW(!model.hasStateRewards() && !model.hasTransitionRewards(), storm::exceptions::IllegalFunctionCallException, "Bisimulation is currently only supported for models without reward structures."); |
|
|
|
Partition initialPartition = getLabelBasedInitialPartition(model); |
|
|
|
partitionRefinement(model, model.getBackwardTransitions(), initialPartition, buildQuotient); |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
DeterministicModelStrongBisimulationDecomposition<ValueType>::DeterministicModelStrongBisimulationDecomposition(storm::models::Dtmc<ValueType> const& model, std::string const& phiLabel, std::string const& psiLabel, bool bounded, bool buildQuotient) { |
|
|
|
STORM_LOG_THROW(!model.hasStateRewards() && !model.hasTransitionRewards(), storm::exceptions::IllegalFunctionCallException, "Bisimulation is currently only supported for models without reward structures."); |
|
|
|
storm::storage::SparseMatrix<ValueType> backwardTransitions = model.getBackwardTransitions(); |
|
|
|
Partition initialPartition = getMeasureDrivenInitialPartition(model, backwardTransitions, phiLabel, psiLabel, bounded); |
|
|
|
partitionRefinement(model, model.getBackwardTransitions(), initialPartition, buildQuotient); |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
DeterministicModelStrongBisimulationDecomposition<ValueType>::DeterministicModelStrongBisimulationDecomposition(storm::models::Ctmc<ValueType> const& model, std::string const& phiLabel, std::string const& psiLabel, bool bounded, bool buildQuotient) { |
|
|
|
STORM_LOG_THROW(!model.hasStateRewards() && !model.hasTransitionRewards(), storm::exceptions::IllegalFunctionCallException, "Bisimulation is currently only supported for models without reward structures."); |
|
|
|
storm::storage::SparseMatrix<ValueType> backwardTransitions = model.getBackwardTransitions(); |
|
|
|
Partition initialPartition = getMeasureDrivenInitialPartition(model, backwardTransitions, phiLabel, psiLabel, bounded); |
|
|
|
partitionRefinement(model, model.getBackwardTransitions(), initialPartition, buildQuotient); |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
std::shared_ptr<storm::models::AbstractDeterministicModel<ValueType>> DeterministicModelStrongBisimulationDecomposition<ValueType>::getQuotient() const { |
|
|
|
STORM_LOG_THROW(this->quotient != nullptr, storm::exceptions::IllegalFunctionCallException, "Unable to retrieve quotient model from bisimulation decomposition, because it was not built."); |
|
|
|
return this->quotient; |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
template<typename ModelType> |
|
|
|
void DeterministicModelStrongBisimulationDecomposition<ValueType>::buildQuotient(ModelType const& model, Partition const& partition) { |
|
|
|
// In order to create the quotient model, we need to construct
|
|
|
|
// (a) the new transition matrix,
|
|
|
|
// (b) the new labeling,
|
|
|
|
// (c) the new reward structures.
|
|
|
|
|
|
|
|
// Prepare a matrix builder for (a).
|
|
|
|
storm::storage::SparseMatrixBuilder<ValueType> builder(this->size(), this->size()); |
|
|
|
|
|
|
|
// Prepare the new state labeling for (b).
|
|
|
|
storm::models::AtomicPropositionsLabeling newLabeling(this->size(), model.getStateLabeling().getNumberOfAtomicPropositions()); |
|
|
|
std::set<std::string> atomicPropositionsSet = model.getStateLabeling().getAtomicPropositions(); |
|
|
|
std::vector<std::string> atomicPropositions = std::vector<std::string>(atomicPropositionsSet.begin(), atomicPropositionsSet.end()); |
|
|
|
for (auto const& ap : atomicPropositions) { |
|
|
|
newLabeling.addAtomicProposition(ap); |
|
|
|
} |
|
|
|
|
|
|
|
// Now build (a) and (b) by traversing all blocks.
|
|
|
|
for (uint_fast64_t blockIndex = 0; blockIndex < this->blocks.size(); ++blockIndex) { |
|
|
|
auto const& block = this->blocks[blockIndex]; |
|
|
|
|
|
|
|
// Pick one representative state. It doesn't matter which state it is, because they all behave equally.
|
|
|
|
storm::storage::sparse::state_type representativeState = *block.begin(); |
|
|
|
|
|
|
|
Block const& oldBlock = partition.getBlock(representativeState); |
|
|
|
|
|
|
|
// If the block is absorbing, we simply add a self-loop.
|
|
|
|
if (oldBlock.isAbsorbing()) { |
|
|
|
builder.addNextValue(blockIndex, blockIndex, storm::utility::constantOne<ValueType>()); |
|
|
|
|
|
|
|
if (oldBlock.hasLabel()) { |
|
|
|
newLabeling.addAtomicPropositionToState(oldBlock.getLabel(), blockIndex); |
|
|
|
} |
|
|
|
} else { |
|
|
|
// Compute the outgoing transitions of the block.
|
|
|
|
std::map<storm::storage::sparse::state_type, ValueType> blockProbability; |
|
|
|
for (auto const& entry : model.getTransitionMatrix().getRow(representativeState)) { |
|
|
|
storm::storage::sparse::state_type targetBlock = partition.getBlock(entry.getColumn()).getId(); |
|
|
|
auto probIterator = blockProbability.find(targetBlock); |
|
|
|
if (probIterator != blockProbability.end()) { |
|
|
|
probIterator->second += entry.getValue(); |
|
|
|
} else { |
|
|
|
blockProbability[targetBlock] = entry.getValue(); |
|
|
|
} |
|
|
|
} |
|
|
|
|
|
|
|
// Now add them to the actual matrix.
|
|
|
|
for (auto const& probabilityEntry : blockProbability) { |
|
|
|
builder.addNextValue(blockIndex, probabilityEntry.first, probabilityEntry.second); |
|
|
|
} |
|
|
|
|
|
|
|
// If the block has a special label, we only add that to the block.
|
|
|
|
if (oldBlock.hasLabel()) { |
|
|
|
newLabeling.addAtomicPropositionToState(oldBlock.getLabel(), blockIndex); |
|
|
|
} else { |
|
|
|
// Otherwise add all atomic propositions to the equivalence class that the representative state
|
|
|
|
// satisfies.
|
|
|
|
for (auto const& ap : atomicPropositions) { |
|
|
|
if (model.getStateLabeling().getStateHasAtomicProposition(ap, representativeState)) { |
|
|
|
newLabeling.addAtomicPropositionToState(ap, blockIndex); |
|
|
|
} |
|
|
|
} |
|
|
|
} |
|
|
|
} |
|
|
|
} |
|
|
|
|
|
|
|
// Now check which of the blocks of the partition contain at least one initial state.
|
|
|
|
for (auto initialState : model.getInitialStates()) { |
|
|
|
Block const& initialBlock = partition.getBlock(initialState); |
|
|
|
newLabeling.addAtomicPropositionToState("init", initialBlock.getId()); |
|
|
|
} |
|
|
|
|
|
|
|
// FIXME:
|
|
|
|
// If reward structures are allowed, the quotient structures need to be built here.
|
|
|
|
|
|
|
|
// Finally construct the quotient model.
|
|
|
|
this->quotient = std::shared_ptr<storm::models::AbstractDeterministicModel<ValueType>>(new ModelType(builder.build(), std::move(newLabeling))); |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
template<typename ModelType> |
|
|
|
void DeterministicModelStrongBisimulationDecomposition<ValueType>::partitionRefinement(ModelType const& model, storm::storage::SparseMatrix<ValueType> const& backwardTransitions, Partition& partition, bool buildQuotient) { |
|
|
|
std::chrono::high_resolution_clock::time_point totalStart = std::chrono::high_resolution_clock::now(); |
|
|
|
|
|
|
|
// Initially, all blocks are potential splitter, so we insert them in the splitterQueue.
|
|
|
|
std::chrono::high_resolution_clock::time_point refinementStart = std::chrono::high_resolution_clock::now(); |
|
|
|
std::deque<Block*> splitterQueue; |
|
|
|
std::for_each(partition.getBlocks().begin(), partition.getBlocks().end(), [&] (Block& a) { splitterQueue.push_back(&a); }); |
|
|
|
|
|
|
|
// Then perform the actual splitting until there are no more splitters.
|
|
|
|
while (!splitterQueue.empty()) { |
|
|
|
std::sort(splitterQueue.begin(), splitterQueue.end(), [] (Block const* b1, Block const* b2) { return b1->getNumberOfStates() < b2->getNumberOfStates(); } ); |
|
|
|
refinePartition(backwardTransitions, *splitterQueue.front(), partition, splitterQueue); |
|
|
|
splitterQueue.pop_front(); |
|
|
|
} |
|
|
|
std::chrono::high_resolution_clock::duration refinementTime = std::chrono::high_resolution_clock::now() - refinementStart; |
|
|
|
|
|
|
|
// Now move the states from the internal partition into their final place in the decomposition. We do so in
|
|
|
|
// a way that maintains the block IDs as indices.
|
|
|
|
std::chrono::high_resolution_clock::time_point extractionStart = std::chrono::high_resolution_clock::now(); |
|
|
|
this->blocks.resize(partition.size()); |
|
|
|
for (auto const& block : partition.getBlocks()) { |
|
|
|
// We need to sort the states to allow for rapid construction of the blocks.
|
|
|
|
std::sort(partition.getBegin(block), partition.getEnd(block), [] (std::pair<storm::storage::sparse::state_type, ValueType> const& a, std::pair<storm::storage::sparse::state_type, ValueType> const& b) { return a.first < b.first; }); |
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// Convert the state-value-pairs to states only.
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auto lambda = [] (std::pair<storm::storage::sparse::state_type, ValueType> const& a) -> storm::storage::sparse::state_type { return a.first; }; |
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this->blocks[block.getId()] = block_type(boost::make_transform_iterator(partition.getBegin(block), lambda), boost::make_transform_iterator(partition.getEnd(block), lambda), true); |
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} |
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// If we are required to build the quotient model, do so now.
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if (buildQuotient) { |
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this->buildQuotient(model, partition); |
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} |
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std::chrono::high_resolution_clock::duration extractionTime = std::chrono::high_resolution_clock::now() - extractionStart; |
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std::chrono::high_resolution_clock::duration totalTime = std::chrono::high_resolution_clock::now() - totalStart; |
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if (storm::settings::generalSettings().isShowStatisticsSet()) { |
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std::cout << std::endl; |
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std::cout << "Time breakdown:" << std::endl; |
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std::cout << " * time for partitioning: " << std::chrono::duration_cast<std::chrono::milliseconds>(refinementTime).count() << "ms" << std::endl; |
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std::cout << " * time for extraction: " << std::chrono::duration_cast<std::chrono::milliseconds>(extractionTime).count() << "ms" << std::endl; |
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std::cout << "------------------------------------------" << std::endl; |
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std::cout << " * total time: " << std::chrono::duration_cast<std::chrono::milliseconds>(totalTime).count() << "ms" << std::endl; |
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std::cout << std::endl; |
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} |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::refineBlockProbabilities(Block& block, Partition& partition, std::deque<Block*>& splitterQueue) { |
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// Sort the states in the block based on their probabilities.
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std::sort(partition.getBegin(block), partition.getEnd(block), [&partition] (std::pair<storm::storage::sparse::state_type, ValueType> const& a, std::pair<storm::storage::sparse::state_type, ValueType> const& b) { return a.second < b.second; } ); |
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// Update the positions vector.
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storm::storage::sparse::state_type position = block.getBegin(); |
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for (auto stateIt = partition.getBegin(block), stateIte = partition.getEnd(block); stateIt != stateIte; ++stateIt, ++position) { |
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partition.setPosition(stateIt->first, position); |
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} |
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// Finally, we need to scan the ranges of states that agree on the probability.
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typename std::vector<std::pair<storm::storage::sparse::state_type, ValueType>>::const_iterator begin = partition.getBegin(block); |
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typename std::vector<std::pair<storm::storage::sparse::state_type, ValueType>>::const_iterator current = begin; |
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typename std::vector<std::pair<storm::storage::sparse::state_type, ValueType>>::const_iterator end = partition.getEnd(block) - 1; |
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storm::storage::sparse::state_type currentIndex = block.getBegin(); |
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// Now we can check whether the block needs to be split, which is the case iff the probabilities for the
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// first and the last state are different.
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while (!comparator.isEqual(begin->second, end->second)) { |
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// Now we scan for the first state in the block that disagrees on the probability value.
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// Note that we do not have to check currentIndex for staying within bounds, because we know the matching
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// state is within bounds.
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ValueType const& currentValue = begin->second; |
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++begin; |
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++currentIndex; |
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while (begin != end && comparator.isEqual(begin->second, currentValue)) { |
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++begin; |
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++currentIndex; |
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} |
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// Now we split the block and mark it as a potential splitter.
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Block& newBlock = partition.splitBlock(block, currentIndex); |
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if (!newBlock.isMarkedAsSplitter()) { |
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splitterQueue.push_back(&newBlock); |
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newBlock.markAsSplitter(); |
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} |
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} |
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} |
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template<typename ValueType> |
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void DeterministicModelStrongBisimulationDecomposition<ValueType>::refinePartition(storm::storage::SparseMatrix<ValueType> const& backwardTransitions, Block& 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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storm::storage::sparse::state_type currentPosition = splitter.getBegin(); |
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for (auto stateIterator = partition.getBegin(splitter), stateIte = partition.getEnd(splitter); stateIterator != stateIte; ++stateIterator, ++currentPosition) { |
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storm::storage::sparse::state_type currentState = stateIterator->first; |
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uint_fast64_t elementsToSkip = 0; |
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for (auto const& predecessorEntry : backwardTransitions.getRow(currentState)) { |
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storm::storage::sparse::state_type predecessor = predecessorEntry.getColumn(); |
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Block& predecessorBlock = partition.getBlock(predecessor); |
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// If the predecessor block has just one state, there is no point in splitting it.
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if (predecessorBlock.getNumberOfStates() <= 1 || predecessorBlock.isAbsorbing()) { |
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continue; |
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} |
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storm::storage::sparse::state_type predecessorPosition = partition.getPosition(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.getBegin()) { |
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if (&predecessorBlock == &splitter) { |
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// If the predecessor we just found was already processed (in terms of visiting its predecessors),
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// we swap it with the state that is currently at the beginning of the block and move the start
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// of the block one step further.
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if (predecessorPosition <= currentPosition + elementsToSkip) { |
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partition.swapStates(predecessor, partition.getState(predecessorBlock.getBegin())); |
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predecessorBlock.incrementBegin(); |
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} else { |
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// Otherwise, we need to move the predecessor, but we need to make sure that we explore its
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// predecessors later.
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if (predecessorBlock.getMarkedPosition() == predecessorBlock.getBegin()) { |
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partition.swapStatesAtPositions(predecessorBlock.getMarkedPosition(), predecessorPosition); |
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partition.swapStatesAtPositions(predecessorPosition, currentPosition + elementsToSkip + 1); |
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} else { |
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partition.swapStatesAtPositions(predecessorBlock.getMarkedPosition(), predecessorPosition); |
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partition.swapStatesAtPositions(predecessorPosition, predecessorBlock.getBegin()); |
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partition.swapStatesAtPositions(predecessorPosition, currentPosition + elementsToSkip + 1); |
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} |
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++elementsToSkip; |
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predecessorBlock.incrementMarkedPosition(); |
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predecessorBlock.incrementBegin(); |
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} |
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} else { |
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partition.swapStates(predecessor, partition.getState(predecessorBlock.getBegin())); |
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predecessorBlock.incrementBegin(); |
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} |
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partition.setValue(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.increaseValue(predecessor, predecessorEntry.getValue()); |
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} |
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if (!predecessorBlock.isMarkedAsPredecessor()) { |
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predecessorBlocks.emplace_back(&predecessorBlock); |
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|
predecessorBlock.markAsPredecessorBlock(); |
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|
} |
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|
} |
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|
// If we had to move some elements beyond the current element, we may have to skip them.
|
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|
if (elementsToSkip > 0) { |
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|
|
stateIterator += elementsToSkip; |
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|
currentPosition += elementsToSkip; |
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|
} |
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} |
|
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|
// Now we can traverse the list of states of the splitter whose predecessors we have not yet explored.
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|
for (auto stateIterator = partition.getStatesAndValues().begin() + splitter.getOriginalBegin(), stateIte = partition.getStatesAndValues().begin() + splitter.getMarkedPosition(); stateIterator != stateIte; ++stateIterator) { |
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|
|
storm::storage::sparse::state_type currentState = stateIterator->first; |
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|
for (auto const& predecessorEntry : backwardTransitions.getRow(currentState)) { |
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|
|
storm::storage::sparse::state_type predecessor = predecessorEntry.getColumn(); |
|
|
|
Block& predecessorBlock = partition.getBlock(predecessor); |
|
|
|
storm::storage::sparse::state_type predecessorPosition = partition.getPosition(predecessor); |
|
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|
|
if (predecessorPosition >= predecessorBlock.getBegin()) { |
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|
|
partition.swapStatesAtPositions(predecessorPosition, predecessorBlock.getBegin()); |
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|
|
predecessorBlock.incrementBegin(); |
|
|
|
partition.setValue(predecessor, predecessorEntry.getValue()); |
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|
|
} else { |
|
|
|
partition.increaseValue(predecessor, predecessorEntry.getValue()); |
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|
|
} |
|
|
|
|
|
|
|
if (!predecessorBlock.isMarkedAsPredecessor()) { |
|
|
|
predecessorBlocks.emplace_back(&predecessorBlock); |
|
|
|
predecessorBlock.markAsPredecessorBlock(); |
|
|
|
} |
|
|
|
} |
|
|
|
} |
|
|
|
|
|
|
|
// Reset the marked position of the splitter to the begin.
|
|
|
|
splitter.setMarkedPosition(splitter.getBegin()); |
|
|
|
|
|
|
|
std::list<Block*> blocksToSplit; |
|
|
|
|
|
|
|
// Now, we can iterate over the predecessor blocks and see whether we have to create a new block for
|
|
|
|
// predecessors of the splitter.
|
|
|
|
for (auto blockPtr : predecessorBlocks) { |
|
|
|
Block& block = *blockPtr; |
|
|
|
|
|
|
|
block.unmarkAsPredecessorBlock(); |
|
|
|
block.resetMarkedPosition(); |
|
|
|
|
|
|
|
// If we have moved the begin of the block to somewhere in the middle of the block, we need to split it.
|
|
|
|
if (block.getBegin() != block.getEnd()) { |
|
|
|
Block& newBlock = partition.insertBlock(block); |
|
|
|
if (!newBlock.isMarkedAsSplitter()) { |
|
|
|
splitterQueue.push_back(&newBlock); |
|
|
|
newBlock.markAsSplitter(); |
|
|
|
} |
|
|
|
|
|
|
|
// Schedule the block of predecessors for refinement based on probabilities.
|
|
|
|
blocksToSplit.emplace_back(&newBlock); |
|
|
|
} else { |
|
|
|
// In this case, we can keep the block by setting its begin to the old value.
|
|
|
|
block.setBegin(block.getOriginalBegin()); |
|
|
|
blocksToSplit.emplace_back(&block); |
|
|
|
} |
|
|
|
} |
|
|
|
|
|
|
|
// Finally, we walk through the blocks that have a transition to the splitter and split them using
|
|
|
|
// probabilistic information.
|
|
|
|
for (auto blockPtr : blocksToSplit) { |
|
|
|
if (blockPtr->getNumberOfStates() <= 1) { |
|
|
|
continue; |
|
|
|
} |
|
|
|
|
|
|
|
refineBlockProbabilities(*blockPtr, partition, splitterQueue); |
|
|
|
} |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
template<typename ModelType> |
|
|
|
typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition DeterministicModelStrongBisimulationDecomposition<ValueType>::getMeasureDrivenInitialPartition(ModelType const& model, storm::storage::SparseMatrix<ValueType> const& backwardTransitions, std::string const& phiLabel, std::string const& psiLabel, bool bounded) { |
|
|
|
std::pair<storm::storage::BitVector, storm::storage::BitVector> statesWithProbability01 = storm::utility::graph::performProb01(backwardTransitions, phiLabel == "true" ? storm::storage::BitVector(model.getNumberOfStates(), true) : model.getLabeledStates(phiLabel), model.getLabeledStates(psiLabel)); |
|
|
|
Partition partition(model.getNumberOfStates(), statesWithProbability01.first, bounded ? model.getLabeledStates(psiLabel) : statesWithProbability01.second, phiLabel, psiLabel); |
|
|
|
return partition; |
|
|
|
} |
|
|
|
|
|
|
|
template<typename ValueType> |
|
|
|
template<typename ModelType> |
|
|
|
typename DeterministicModelStrongBisimulationDecomposition<ValueType>::Partition DeterministicModelStrongBisimulationDecomposition<ValueType>::getLabelBasedInitialPartition(ModelType const& model) { |
|
|
|
Partition partition(model.getNumberOfStates()); |
|
|
|
for (auto const& label : model.getStateLabeling().getAtomicPropositions()) { |
|
|
|
if (label == "init") { |
|
|
|
continue; |
|
|
|
} |
|
|
|
partition.splitLabel(model.getLabeledStates(label)); |
|
|
|
} |
|
|
|
return partition; |
|
|
|
} |
|
|
|
|
|
|
|
template class DeterministicModelStrongBisimulationDecomposition<double>; |
|
|
|
} |
|
|
|
} |
dehnert
11 years ago
xxxxxxxxxx