|
@ -9,14 +9,19 @@ namespace storm { |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
template <typename ValueType> |
|
|
template <typename ValueType> |
|
|
StronglyConnectedComponentDecomposition<ValueType>::StronglyConnectedComponentDecomposition(storm::models::AbstractModel<ValueType> const& model, bool dropNaiveSccs) : Decomposition() { |
|
|
|
|
|
performSccDecomposition(model, dropNaiveSccs); |
|
|
|
|
|
|
|
|
StronglyConnectedComponentDecomposition<ValueType>::StronglyConnectedComponentDecomposition(storm::models::AbstractModel<ValueType> const& model, bool dropNaiveSccs, bool onlyBottomSccs) : Decomposition() { |
|
|
|
|
|
performSccDecomposition(model, dropNaiveSccs, onlyBottomSccs); |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
template <typename ValueType> |
|
|
template <typename ValueType> |
|
|
StronglyConnectedComponentDecomposition<ValueType>::StronglyConnectedComponentDecomposition(storm::models::AbstractModel<ValueType> const& model, StateBlock const& block, bool dropNaiveSccs) { |
|
|
|
|
|
|
|
|
StronglyConnectedComponentDecomposition<ValueType>::StronglyConnectedComponentDecomposition(storm::models::AbstractModel<ValueType> const& model, StateBlock const& block, bool dropNaiveSccs, bool onlyBottomSccs) { |
|
|
storm::storage::BitVector subsystem(model.getNumberOfStates(), block); |
|
|
storm::storage::BitVector subsystem(model.getNumberOfStates(), block); |
|
|
performSccDecomposition(model, subsystem, dropNaiveSccs); |
|
|
|
|
|
|
|
|
performSccDecomposition(model, subsystem, dropNaiveSccs, onlyBottomSccs); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
template <typename ValueType> |
|
|
|
|
|
StronglyConnectedComponentDecomposition<ValueType>::StronglyConnectedComponentDecomposition(storm::models::AbstractModel<ValueType> const& model, storm::storage::BitVector const& subsystem, bool dropNaiveSccs, bool onlyBottomSccs) { |
|
|
|
|
|
performSccDecomposition(model, subsystem, dropNaiveSccs, onlyBottomSccs); |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
template <typename ValueType> |
|
|
template <typename ValueType> |
|
@ -42,7 +47,7 @@ namespace storm { |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
template <typename ValueType> |
|
|
template <typename ValueType> |
|
|
void StronglyConnectedComponentDecomposition<ValueType>::performSccDecomposition(storm::models::AbstractModel<ValueType> const& model, storm::storage::BitVector const& subsystem, bool dropNaiveSccs) { |
|
|
|
|
|
|
|
|
void StronglyConnectedComponentDecomposition<ValueType>::performSccDecomposition(storm::models::AbstractModel<ValueType> const& model, storm::storage::BitVector const& subsystem, bool dropNaiveSccs, bool onlyBottomSccs) { |
|
|
LOG4CPLUS_INFO(logger, "Computing SCC decomposition."); |
|
|
LOG4CPLUS_INFO(logger, "Computing SCC decomposition."); |
|
|
|
|
|
|
|
|
uint_fast64_t numberOfStates = model.getNumberOfStates(); |
|
|
uint_fast64_t numberOfStates = model.getNumberOfStates(); |
|
@ -59,7 +64,7 @@ namespace storm { |
|
|
uint_fast64_t currentIndex = 0; |
|
|
uint_fast64_t currentIndex = 0; |
|
|
for (auto state : subsystem) { |
|
|
for (auto state : subsystem) { |
|
|
if (!visitedStates.get(state)) { |
|
|
if (!visitedStates.get(state)) { |
|
|
performSccDecompositionHelper(model, state, subsystem, currentIndex, stateIndices, lowlinks, tarjanStack, tarjanStackStates, visitedStates, dropNaiveSccs); |
|
|
|
|
|
|
|
|
performSccDecompositionHelper(model, state, subsystem, currentIndex, stateIndices, lowlinks, tarjanStack, tarjanStackStates, visitedStates, dropNaiveSccs, onlyBottomSccs); |
|
|
} |
|
|
} |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
@ -68,18 +73,18 @@ namespace storm { |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
template <typename ValueType> |
|
|
template <typename ValueType> |
|
|
void StronglyConnectedComponentDecomposition<ValueType>::performSccDecomposition(storm::models::AbstractModel<ValueType> const& model, bool dropNaiveSccs) { |
|
|
|
|
|
|
|
|
void StronglyConnectedComponentDecomposition<ValueType>::performSccDecomposition(storm::models::AbstractModel<ValueType> const& model, bool dropNaiveSccs, bool onlyBottomSccs) { |
|
|
uint_fast64_t numberOfStates = model.getNumberOfStates(); |
|
|
uint_fast64_t numberOfStates = model.getNumberOfStates(); |
|
|
|
|
|
|
|
|
// Prepare a block that contains all states for a call to the other overload of this function.
|
|
|
// Prepare a block that contains all states for a call to the other overload of this function.
|
|
|
storm::storage::BitVector fullSystem(numberOfStates, true); |
|
|
storm::storage::BitVector fullSystem(numberOfStates, true); |
|
|
|
|
|
|
|
|
// Call the overloaded function.
|
|
|
// Call the overloaded function.
|
|
|
performSccDecomposition(model, fullSystem, dropNaiveSccs); |
|
|
|
|
|
|
|
|
performSccDecomposition(model, fullSystem, dropNaiveSccs, onlyBottomSccs); |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
template <typename ValueType> |
|
|
template <typename ValueType> |
|
|
void StronglyConnectedComponentDecomposition<ValueType>::performSccDecompositionHelper(storm::models::AbstractModel<ValueType> const& model, uint_fast64_t startState, storm::storage::BitVector const& subsystem, uint_fast64_t& currentIndex, std::vector<uint_fast64_t>& stateIndices, std::vector<uint_fast64_t>& lowlinks, std::vector<uint_fast64_t>& tarjanStack, storm::storage::BitVector& tarjanStackStates, storm::storage::BitVector& visitedStates, bool dropNaiveSccs) { |
|
|
|
|
|
|
|
|
void StronglyConnectedComponentDecomposition<ValueType>::performSccDecompositionHelper(storm::models::AbstractModel<ValueType> const& model, uint_fast64_t startState, storm::storage::BitVector const& subsystem, uint_fast64_t& currentIndex, std::vector<uint_fast64_t>& stateIndices, std::vector<uint_fast64_t>& lowlinks, std::vector<uint_fast64_t>& tarjanStack, storm::storage::BitVector& tarjanStackStates, storm::storage::BitVector& visitedStates, bool dropNaiveSccs, bool onlyBottomSccs) { |
|
|
// Create the stacks needed for turning the recursive formulation of Tarjan's algorithm
|
|
|
// Create the stacks needed for turning the recursive formulation of Tarjan's algorithm
|
|
|
// into an iterative version. In particular, we keep one stack for states and one stack
|
|
|
// into an iterative version. In particular, we keep one stack for states and one stack
|
|
|
// for the iterators. The last one is not strictly needed, but reduces iteration work when
|
|
|
// for the iterators. The last one is not strictly needed, but reduces iteration work when
|
|
@ -91,7 +96,16 @@ namespace storm { |
|
|
std::vector<bool> statesInStack(lowlinks.size()); |
|
|
std::vector<bool> statesInStack(lowlinks.size()); |
|
|
|
|
|
|
|
|
// Store a bit vector of all states with a self-loop to be able to detect non-trivial SCCs with only one state.
|
|
|
// Store a bit vector of all states with a self-loop to be able to detect non-trivial SCCs with only one state.
|
|
|
storm::storage::BitVector statesWithSelfloop(lowlinks.size()); |
|
|
|
|
|
|
|
|
storm::storage::BitVector statesWithSelfloop; |
|
|
|
|
|
if (dropNaiveSccs) { |
|
|
|
|
|
statesWithSelfloop = storm::storage::BitVector(lowlinks.size()); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
// Store a bit vector of all states that can leave their SCC to be able to detect bottom SCCs.
|
|
|
|
|
|
storm::storage::BitVector statesThatCanLeaveTheirScc; |
|
|
|
|
|
if (onlyBottomSccs) { |
|
|
|
|
|
statesThatCanLeaveTheirScc = storm::storage::BitVector(lowlinks.size()); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
// Initialize the recursion stacks with the given initial state (and its successor iterator).
|
|
|
// Initialize the recursion stacks with the given initial state (and its successor iterator).
|
|
|
recursionStateStack.push_back(startState); |
|
|
recursionStateStack.push_back(startState); |
|
@ -112,14 +126,16 @@ namespace storm { |
|
|
|
|
|
|
|
|
// Now, traverse all successors of the current state.
|
|
|
// Now, traverse all successors of the current state.
|
|
|
for(; successorIt != model.getRows(currentState).end(); ++successorIt) { |
|
|
for(; successorIt != model.getRows(currentState).end(); ++successorIt) { |
|
|
// Record if the current state has a self-loop.
|
|
|
|
|
|
if (currentState == successorIt.column()) { |
|
|
|
|
|
|
|
|
// Record if the current state has a self-loop if we are to drop naive SCCs later.
|
|
|
|
|
|
if (dropNaiveSccs && currentState == successorIt.column()) { |
|
|
statesWithSelfloop.set(currentState, true); |
|
|
statesWithSelfloop.set(currentState, true); |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
// If we have not visited the successor already, we need to perform the procedure
|
|
|
// If we have not visited the successor already, we need to perform the procedure
|
|
|
// recursively on the newly found state.
|
|
|
|
|
|
if (!visitedStates.get(successorIt.column()) && subsystem.get(successorIt.column())) { |
|
|
|
|
|
|
|
|
// recursively on the newly found state, but only if it belongs to the subsystem in
|
|
|
|
|
|
// which we are interested.
|
|
|
|
|
|
if (subsystem.get(successorIt.column())) { |
|
|
|
|
|
if (!visitedStates.get(successorIt.column())) { |
|
|
// Save current iterator position so we can continue where we left off later.
|
|
|
// Save current iterator position so we can continue where we left off later.
|
|
|
recursionIteratorStack.pop_back(); |
|
|
recursionIteratorStack.pop_back(); |
|
|
recursionIteratorStack.push_back(successorIt); |
|
|
recursionIteratorStack.push_back(successorIt); |
|
@ -136,9 +152,19 @@ namespace storm { |
|
|
|
|
|
|
|
|
recursionStepBackward: |
|
|
recursionStepBackward: |
|
|
lowlinks[currentState] = std::min(lowlinks[currentState], lowlinks[successorIt.column()]); |
|
|
lowlinks[currentState] = std::min(lowlinks[currentState], lowlinks[successorIt.column()]); |
|
|
|
|
|
|
|
|
|
|
|
// If we are interested in bottom SCCs only, we need to check whether the current state
|
|
|
|
|
|
// can leave the SCC.
|
|
|
|
|
|
if (onlyBottomSccs && lowlinks[currentState] != lowlinks[successorIt.column()]) { |
|
|
|
|
|
statesThatCanLeaveTheirScc.set(currentState); |
|
|
|
|
|
} |
|
|
} else if (tarjanStackStates.get(successorIt.column())) { |
|
|
} else if (tarjanStackStates.get(successorIt.column())) { |
|
|
// Update the lowlink of the current state.
|
|
|
// Update the lowlink of the current state.
|
|
|
lowlinks[currentState] = std::min(lowlinks[currentState], stateIndices[successorIt.column()]); |
|
|
lowlinks[currentState] = std::min(lowlinks[currentState], stateIndices[successorIt.column()]); |
|
|
|
|
|
|
|
|
|
|
|
// Since it is known that in this case, the successor state is in the same SCC as the current state
|
|
|
|
|
|
// we don't need to update the bit vector of states that can leave their SCC.
|
|
|
|
|
|
} |
|
|
} |
|
|
} |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
@ -148,6 +174,7 @@ namespace storm { |
|
|
Block scc; |
|
|
Block scc; |
|
|
|
|
|
|
|
|
uint_fast64_t lastState = 0; |
|
|
uint_fast64_t lastState = 0; |
|
|
|
|
|
bool isBottomScc = true; |
|
|
do { |
|
|
do { |
|
|
// Pop topmost state from the algorithm's stack.
|
|
|
// Pop topmost state from the algorithm's stack.
|
|
|
lastState = tarjanStack.back(); |
|
|
lastState = tarjanStack.back(); |
|
@ -156,10 +183,20 @@ namespace storm { |
|
|
|
|
|
|
|
|
// Add the state to the current SCC.
|
|
|
// Add the state to the current SCC.
|
|
|
scc.insert(lastState); |
|
|
scc.insert(lastState); |
|
|
|
|
|
|
|
|
|
|
|
if (onlyBottomSccs && isBottomScc && statesThatCanLeaveTheirScc.get(lastState)) { |
|
|
|
|
|
isBottomScc = false; |
|
|
|
|
|
} |
|
|
} while (lastState != currentState); |
|
|
} while (lastState != currentState); |
|
|
|
|
|
|
|
|
// Only add the SCC if it is non-trivial if the corresponding flag was set.
|
|
|
|
|
|
if (!dropNaiveSccs || scc.size() > 1 || statesWithSelfloop.get(*scc.begin())) { |
|
|
|
|
|
|
|
|
// Now determine whether we want to keep this SCC in the decomposition.
|
|
|
|
|
|
// First, we need to check whether we should drop the SCC because of the requirement to not include naive SCCs.
|
|
|
|
|
|
bool keepScc = !dropNaiveSccs || (scc.size() > 1 || statesWithSelfloop.get(*scc.begin())); |
|
|
|
|
|
// Then, we also need to make sure that it is a bottom SCC if we were required to.
|
|
|
|
|
|
keepScc &= !onlyBottomSccs || isBottomScc; |
|
|
|
|
|
|
|
|
|
|
|
// Only add the SCC if we determined to keep it, based on the given parameters.
|
|
|
|
|
|
if (keepScc) { |
|
|
this->blocks.emplace_back(std::move(scc)); |
|
|
this->blocks.emplace_back(std::move(scc)); |
|
|
} |
|
|
} |
|
|
} |
|
|
} |
|
|