|
@ -5,8 +5,8 @@ |
|
|
* Author: Christian Dehnert |
|
|
* Author: Christian Dehnert |
|
|
*/ |
|
|
*/ |
|
|
|
|
|
|
|
|
#ifndef STORM_UTILITY_GRAPHANALYZER_H_ |
|
|
|
|
|
#define STORM_UTILITY_GRAPHANALYZER_H_ |
|
|
|
|
|
|
|
|
#ifndef STORM_UTILITY_GRAPH_H_ |
|
|
|
|
|
#define STORM_UTILITY_GRAPH_H_ |
|
|
|
|
|
|
|
|
#include "src/models/AbstractDeterministicModel.h" |
|
|
#include "src/models/AbstractDeterministicModel.h" |
|
|
#include "src/models/AbstractNondeterministicModel.h" |
|
|
#include "src/models/AbstractNondeterministicModel.h" |
|
@ -21,26 +21,7 @@ namespace storm { |
|
|
|
|
|
|
|
|
namespace utility { |
|
|
namespace utility { |
|
|
|
|
|
|
|
|
class GraphAnalyzer { |
|
|
|
|
|
public: |
|
|
|
|
|
/*! |
|
|
|
|
|
* Computes the sets of states that have probability 0 or 1, respectively, of satisfying phi until psi in a |
|
|
|
|
|
* deterministic model. |
|
|
|
|
|
* |
|
|
|
|
|
* @param model The model whose graph structure to search. |
|
|
|
|
|
* @param phiStates The set of all states satisfying phi. |
|
|
|
|
|
* @param psiStates The set of all states satisfying psi. |
|
|
|
|
|
* @return A pair of bit vectors such that the first bit vector stores the indices of all states |
|
|
|
|
|
* with probability 0 and the second stores all indices of states with probability 1. |
|
|
|
|
|
*/ |
|
|
|
|
|
template <typename T> |
|
|
|
|
|
static std::pair<storm::storage::BitVector, storm::storage::BitVector> performProb01(storm::models::AbstractDeterministicModel<T> const& model, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
|
|
|
std::pair<storm::storage::BitVector, storm::storage::BitVector> result; |
|
|
|
|
|
result.first = GraphAnalyzer::performProbGreater0(model, phiStates, psiStates); |
|
|
|
|
|
result.second = GraphAnalyzer::performProb1(model, phiStates, psiStates, result.first); |
|
|
|
|
|
result.first.complement(); |
|
|
|
|
|
return result; |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
namespace graph { |
|
|
|
|
|
|
|
|
/*! |
|
|
/*! |
|
|
* Performs a backwards breadt-first search trough the underlying graph structure |
|
|
* Performs a backwards breadt-first search trough the underlying graph structure |
|
@ -53,7 +34,7 @@ public: |
|
|
* @return A bit vector with all indices of states that have a probability greater than 0. |
|
|
* @return A bit vector with all indices of states that have a probability greater than 0. |
|
|
*/ |
|
|
*/ |
|
|
template <typename T> |
|
|
template <typename T> |
|
|
static storm::storage::BitVector performProbGreater0(storm::models::AbstractDeterministicModel<T> const& model, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
|
|
|
|
|
|
storm::storage::BitVector performProbGreater0(storm::models::AbstractDeterministicModel<T> const& model, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
// Prepare the resulting bit vector. |
|
|
// Prepare the resulting bit vector. |
|
|
storm::storage::BitVector statesWithProbabilityGreater0(model.getNumberOfStates()); |
|
|
storm::storage::BitVector statesWithProbabilityGreater0(model.getNumberOfStates()); |
|
|
|
|
|
|
|
@ -100,8 +81,8 @@ public: |
|
|
* @return A bit vector with all indices of states that have a probability greater than 1. |
|
|
* @return A bit vector with all indices of states that have a probability greater than 1. |
|
|
*/ |
|
|
*/ |
|
|
template <typename T> |
|
|
template <typename T> |
|
|
static storm::storage::BitVector performProb1(storm::models::AbstractDeterministicModel<T> const& model, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates, storm::storage::BitVector const& statesWithProbabilityGreater0) { |
|
|
|
|
|
storm::storage::BitVector statesWithProbability1 = GraphAnalyzer::performProbGreater0(model, ~psiStates, ~statesWithProbabilityGreater0); |
|
|
|
|
|
|
|
|
storm::storage::BitVector performProb1(storm::models::AbstractDeterministicModel<T> const& model, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates, storm::storage::BitVector const& statesWithProbabilityGreater0) { |
|
|
|
|
|
storm::storage::BitVector statesWithProbability1 = performProbGreater0(model, ~psiStates, ~statesWithProbabilityGreater0); |
|
|
statesWithProbability1.complement(); |
|
|
statesWithProbability1.complement(); |
|
|
return statesWithProbability1; |
|
|
return statesWithProbability1; |
|
|
} |
|
|
} |
|
@ -119,32 +100,29 @@ public: |
|
|
* @return A bit vector with all indices of states that have a probability greater than 1. |
|
|
* @return A bit vector with all indices of states that have a probability greater than 1. |
|
|
*/ |
|
|
*/ |
|
|
template <typename T> |
|
|
template <typename T> |
|
|
static storm::storage::BitVector performProb1(storm::models::AbstractDeterministicModel<T> const& model, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
|
|
|
storm::storage::BitVector statesWithProbabilityGreater0 = GraphAnalyzer::performProbGreater0(model, phiStates, psiStates); |
|
|
|
|
|
storm::storage::BitVector statesWithProbability1 = GraphAnalyzer::performProbGreater0(model, ~psiStates, ~(statesWithProbabilityGreater0)); |
|
|
|
|
|
|
|
|
storm::storage::BitVector performProb1(storm::models::AbstractDeterministicModel<T> const& model, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
|
|
|
storm::storage::BitVector statesWithProbabilityGreater0 = performProbGreater0(model, phiStates, psiStates); |
|
|
|
|
|
storm::storage::BitVector statesWithProbability1 = performProbGreater0(model, ~psiStates, ~(statesWithProbabilityGreater0)); |
|
|
statesWithProbability1.complement(); |
|
|
statesWithProbability1.complement(); |
|
|
return statesWithProbability1; |
|
|
return statesWithProbability1; |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
/*! |
|
|
/*! |
|
|
* Computes the sets of states that have probability 0 or 1, respectively, of satisfying phi |
|
|
|
|
|
* until psi in a non-deterministic model in which all non-deterministic choices are resolved |
|
|
|
|
|
* such that the probability is maximized. |
|
|
|
|
|
|
|
|
* Computes the sets of states that have probability 0 or 1, respectively, of satisfying phi until psi in a |
|
|
|
|
|
* deterministic model. |
|
|
* |
|
|
* |
|
|
* @param model The model whose graph structure to search. |
|
|
* @param model The model whose graph structure to search. |
|
|
* @param phiStates The set of all states satisfying phi. |
|
|
* @param phiStates The set of all states satisfying phi. |
|
|
* @param psiStates The set of all states satisfying psi. |
|
|
* @param psiStates The set of all states satisfying psi. |
|
|
* @return A pair of bit vectors that represent all states with probability 0 and 1, respectively. |
|
|
|
|
|
|
|
|
* @return A pair of bit vectors such that the first bit vector stores the indices of all states |
|
|
|
|
|
* with probability 0 and the second stores all indices of states with probability 1. |
|
|
*/ |
|
|
*/ |
|
|
template <typename T> |
|
|
template <typename T> |
|
|
static std::pair<storm::storage::BitVector, storm::storage::BitVector> performProb01Max(storm::models::AbstractNondeterministicModel<T> const& model, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
|
|
|
|
|
|
static std::pair<storm::storage::BitVector, storm::storage::BitVector> performProb01(storm::models::AbstractDeterministicModel<T> const& model, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
std::pair<storm::storage::BitVector, storm::storage::BitVector> result; |
|
|
std::pair<storm::storage::BitVector, storm::storage::BitVector> result; |
|
|
|
|
|
|
|
|
// Get the backwards transition relation from the model to ease the search. |
|
|
|
|
|
storm::storage::SparseMatrix<bool> backwardTransitions = model.getBackwardTransitions(); |
|
|
|
|
|
|
|
|
|
|
|
result.first = GraphAnalyzer::performProb0A(model, backwardTransitions, phiStates, psiStates); |
|
|
|
|
|
result.second = GraphAnalyzer::performProb1E(model, backwardTransitions, phiStates, psiStates); |
|
|
|
|
|
|
|
|
result.first = performProbGreater0(model, phiStates, psiStates); |
|
|
|
|
|
result.second = performProb1(model, phiStates, psiStates, result.first); |
|
|
|
|
|
result.first.complement(); |
|
|
return result; |
|
|
return result; |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
@ -161,7 +139,7 @@ public: |
|
|
* @return A bit vector that represents all states with probability 0. |
|
|
* @return A bit vector that represents all states with probability 0. |
|
|
*/ |
|
|
*/ |
|
|
template <typename T> |
|
|
template <typename T> |
|
|
static storm::storage::BitVector performProb0A(storm::models::AbstractNondeterministicModel<T> const& model, storm::storage::SparseMatrix<bool> const& backwardTransitions, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
|
|
|
|
|
|
storm::storage::BitVector performProb0A(storm::models::AbstractNondeterministicModel<T> const& model, storm::storage::SparseMatrix<bool> const& backwardTransitions, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
// Prepare the resulting bit vector. |
|
|
// Prepare the resulting bit vector. |
|
|
storm::storage::BitVector statesWithProbability0(model.getNumberOfStates()); |
|
|
storm::storage::BitVector statesWithProbability0(model.getNumberOfStates()); |
|
|
|
|
|
|
|
@ -204,7 +182,7 @@ public: |
|
|
* @return A bit vector that represents all states with probability 1. |
|
|
* @return A bit vector that represents all states with probability 1. |
|
|
*/ |
|
|
*/ |
|
|
template <typename T> |
|
|
template <typename T> |
|
|
static storm::storage::BitVector performProb1E(storm::models::AbstractNondeterministicModel<T> const& model, storm::storage::SparseMatrix<bool> const& backwardTransitions, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
|
|
|
|
|
|
storm::storage::BitVector performProb1E(storm::models::AbstractNondeterministicModel<T> const& model, storm::storage::SparseMatrix<bool> const& backwardTransitions, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
// Get some temporaries for convenience. |
|
|
// Get some temporaries for convenience. |
|
|
std::shared_ptr<storm::storage::SparseMatrix<T>> transitionMatrix = model.getTransitionMatrix(); |
|
|
std::shared_ptr<storm::storage::SparseMatrix<T>> transitionMatrix = model.getTransitionMatrix(); |
|
|
std::shared_ptr<std::vector<uint_fast64_t>> nondeterministicChoiceIndices = model.getNondeterministicChoiceIndices(); |
|
|
std::shared_ptr<std::vector<uint_fast64_t>> nondeterministicChoiceIndices = model.getNondeterministicChoiceIndices(); |
|
@ -261,10 +239,11 @@ public: |
|
|
|
|
|
|
|
|
return currentStates; |
|
|
return currentStates; |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
/*! |
|
|
/*! |
|
|
* Computes the sets of states that have probability 0 or 1, respectively, of satisfying phi |
|
|
* Computes the sets of states that have probability 0 or 1, respectively, of satisfying phi |
|
|
* until psi in a non-deterministic model in which all non-deterministic choices are resolved |
|
|
* until psi in a non-deterministic model in which all non-deterministic choices are resolved |
|
|
* such that the probability is minimized. |
|
|
|
|
|
|
|
|
* such that the probability is maximized. |
|
|
* |
|
|
* |
|
|
* @param model The model whose graph structure to search. |
|
|
* @param model The model whose graph structure to search. |
|
|
* @param phiStates The set of all states satisfying phi. |
|
|
* @param phiStates The set of all states satisfying phi. |
|
@ -272,14 +251,14 @@ public: |
|
|
* @return A pair of bit vectors that represent all states with probability 0 and 1, respectively. |
|
|
* @return A pair of bit vectors that represent all states with probability 0 and 1, respectively. |
|
|
*/ |
|
|
*/ |
|
|
template <typename T> |
|
|
template <typename T> |
|
|
static std::pair<storm::storage::BitVector, storm::storage::BitVector> performProb01Min(storm::models::AbstractNondeterministicModel<T> const& model, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
|
|
|
|
|
|
std::pair<storm::storage::BitVector, storm::storage::BitVector> performProb01Max(storm::models::AbstractNondeterministicModel<T> const& model, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
std::pair<storm::storage::BitVector, storm::storage::BitVector> result; |
|
|
std::pair<storm::storage::BitVector, storm::storage::BitVector> result; |
|
|
|
|
|
|
|
|
// Get the backwards transition relation from the model to ease the search. |
|
|
// Get the backwards transition relation from the model to ease the search. |
|
|
storm::storage::SparseMatrix<bool> backwardTransitions = model.getBackwardTransitions(); |
|
|
storm::storage::SparseMatrix<bool> backwardTransitions = model.getBackwardTransitions(); |
|
|
|
|
|
|
|
|
result.first = GraphAnalyzer::performProb0E(model, backwardTransitions, phiStates, psiStates); |
|
|
|
|
|
result.second = GraphAnalyzer::performProb1A(model, backwardTransitions, phiStates, psiStates); |
|
|
|
|
|
|
|
|
result.first = performProb0A(model, backwardTransitions, phiStates, psiStates); |
|
|
|
|
|
result.second = performProb1E(model, backwardTransitions, phiStates, psiStates); |
|
|
return result; |
|
|
return result; |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
@ -296,7 +275,7 @@ public: |
|
|
* @return A bit vector that represents all states with probability 0. |
|
|
* @return A bit vector that represents all states with probability 0. |
|
|
*/ |
|
|
*/ |
|
|
template <typename T> |
|
|
template <typename T> |
|
|
static storm::storage::BitVector performProb0E(storm::models::AbstractNondeterministicModel<T> const& model, storm::storage::SparseMatrix<bool> const& backwardTransitions, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
|
|
|
|
|
|
storm::storage::BitVector performProb0E(storm::models::AbstractNondeterministicModel<T> const& model, storm::storage::SparseMatrix<bool> const& backwardTransitions, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
// Prepare resulting bit vector. |
|
|
// Prepare resulting bit vector. |
|
|
storm::storage::BitVector statesWithProbability0(model.getNumberOfStates()); |
|
|
storm::storage::BitVector statesWithProbability0(model.getNumberOfStates()); |
|
|
|
|
|
|
|
@ -363,7 +342,7 @@ public: |
|
|
* @return A bit vector that represents all states with probability 0. |
|
|
* @return A bit vector that represents all states with probability 0. |
|
|
*/ |
|
|
*/ |
|
|
template <typename T> |
|
|
template <typename T> |
|
|
static storm::storage::BitVector performProb1A(storm::models::AbstractNondeterministicModel<T> const& model, storm::storage::SparseMatrix<bool> const& backwardTransitions, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
|
|
|
|
|
|
storm::storage::BitVector performProb1A(storm::models::AbstractNondeterministicModel<T> const& model, storm::storage::SparseMatrix<bool> const& backwardTransitions, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
// Get some temporaries for convenience. |
|
|
// Get some temporaries for convenience. |
|
|
std::shared_ptr<storm::storage::SparseMatrix<T>> transitionMatrix = model.getTransitionMatrix(); |
|
|
std::shared_ptr<storm::storage::SparseMatrix<T>> transitionMatrix = model.getTransitionMatrix(); |
|
|
std::shared_ptr<std::vector<uint_fast64_t>> nondeterministicChoiceIndices = model.getNondeterministicChoiceIndices(); |
|
|
std::shared_ptr<std::vector<uint_fast64_t>> nondeterministicChoiceIndices = model.getNondeterministicChoiceIndices(); |
|
@ -421,118 +400,27 @@ public: |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
/*! |
|
|
/*! |
|
|
* Performs a decomposition of the given model into its SCCs. |
|
|
|
|
|
* |
|
|
|
|
|
* @param model The nondeterminstic model to decompose. |
|
|
|
|
|
* @return A vector of SCCs of the model. |
|
|
|
|
|
*/ |
|
|
|
|
|
template <typename T> |
|
|
|
|
|
static std::vector<std::vector<uint_fast64_t>> performSccDecomposition(storm::models::AbstractModel<T> const& model) { |
|
|
|
|
|
LOG4CPLUS_INFO(logger, "Computing SCC decomposition."); |
|
|
|
|
|
|
|
|
|
|
|
std::vector<std::vector<uint_fast64_t>> scc; |
|
|
|
|
|
uint_fast64_t numberOfStates = model.getNumberOfStates(); |
|
|
|
|
|
|
|
|
|
|
|
// Set up the environment of Tarjan's algorithm. |
|
|
|
|
|
std::vector<uint_fast64_t> tarjanStack; |
|
|
|
|
|
tarjanStack.reserve(numberOfStates); |
|
|
|
|
|
storm::storage::BitVector tarjanStackStates(numberOfStates); |
|
|
|
|
|
std::vector<uint_fast64_t> stateIndices(numberOfStates); |
|
|
|
|
|
std::vector<uint_fast64_t> lowlinks(numberOfStates); |
|
|
|
|
|
storm::storage::BitVector visitedStates(numberOfStates); |
|
|
|
|
|
|
|
|
|
|
|
// Start the search for SCCs from every vertex in the graph structure, because there is. |
|
|
|
|
|
uint_fast64_t currentIndex = 0; |
|
|
|
|
|
for (uint_fast64_t state = 0; state < numberOfStates; ++state) { |
|
|
|
|
|
if (!visitedStates.get(state)) { |
|
|
|
|
|
performSccDecompositionHelper(state, currentIndex, stateIndices, lowlinks, tarjanStack, tarjanStackStates, visitedStates, *model.getTransitionMatrix(), scc); |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
LOG4CPLUS_INFO(logger, "Done computing SCC decomposition."); |
|
|
|
|
|
return scc; |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
/*! |
|
|
|
|
|
* Performs a topological sort of the states of the system according to the given transitions. |
|
|
|
|
|
|
|
|
* Computes the sets of states that have probability 0 or 1, respectively, of satisfying phi |
|
|
|
|
|
* until psi in a non-deterministic model in which all non-deterministic choices are resolved |
|
|
|
|
|
* such that the probability is minimized. |
|
|
* |
|
|
* |
|
|
* @param matrix A square matrix representing the transition relation of the system. |
|
|
|
|
|
* @return A vector of indices that is a topological sort of the states. |
|
|
|
|
|
|
|
|
* @param model The model whose graph structure to search. |
|
|
|
|
|
* @param phiStates The set of all states satisfying phi. |
|
|
|
|
|
* @param psiStates The set of all states satisfying psi. |
|
|
|
|
|
* @return A pair of bit vectors that represent all states with probability 0 and 1, respectively. |
|
|
*/ |
|
|
*/ |
|
|
template <typename T> |
|
|
template <typename T> |
|
|
static std::vector<uint_fast64_t> getTopologicalSort(storm::storage::SparseMatrix<T> const& matrix) { |
|
|
|
|
|
if (matrix.getRowCount() != matrix.getColumnCount()) { |
|
|
|
|
|
LOG4CPLUS_ERROR(logger, "Provided matrix is required to be square."); |
|
|
|
|
|
throw storm::exceptions::InvalidArgumentException() << "Provided matrix is required to be square."; |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
uint_fast64_t numberOfStates = matrix.getRowCount(); |
|
|
|
|
|
|
|
|
|
|
|
// Prepare the result. This relies on the matrix being square. |
|
|
|
|
|
std::vector<uint_fast64_t> topologicalSort; |
|
|
|
|
|
topologicalSort.reserve(numberOfStates); |
|
|
|
|
|
|
|
|
|
|
|
// Prepare the stacks needed for recursion. |
|
|
|
|
|
std::vector<uint_fast64_t> recursionStack; |
|
|
|
|
|
recursionStack.reserve(matrix.getRowCount()); |
|
|
|
|
|
std::vector<typename storm::storage::SparseMatrix<T>::ConstIndexIterator> iteratorRecursionStack; |
|
|
|
|
|
iteratorRecursionStack.reserve(numberOfStates); |
|
|
|
|
|
|
|
|
|
|
|
// Perform a depth-first search over the given transitions and record states in the reverse order they were visited. |
|
|
|
|
|
storm::storage::BitVector visitedStates(numberOfStates); |
|
|
|
|
|
for (uint_fast64_t state = 0; state < numberOfStates; ++state) { |
|
|
|
|
|
if (!visitedStates.get(state)) { |
|
|
|
|
|
recursionStack.push_back(state); |
|
|
|
|
|
iteratorRecursionStack.push_back(matrix.constColumnIteratorBegin(state)); |
|
|
|
|
|
|
|
|
|
|
|
recursionStepForward: |
|
|
|
|
|
while (!recursionStack.empty()) { |
|
|
|
|
|
uint_fast64_t currentState = recursionStack.back(); |
|
|
|
|
|
typename storm::storage::SparseMatrix<T>::ConstIndexIterator currentIt = iteratorRecursionStack.back(); |
|
|
|
|
|
|
|
|
|
|
|
visitedStates.set(currentState, true); |
|
|
|
|
|
|
|
|
|
|
|
recursionStepBackward: |
|
|
|
|
|
for (; currentIt != matrix.constColumnIteratorEnd(currentState); ++currentIt) { |
|
|
|
|
|
if (!visitedStates.get(*currentIt)) { |
|
|
|
|
|
// Put unvisited successor on top of our recursion stack and remember that. |
|
|
|
|
|
recursionStack.push_back(*currentIt); |
|
|
|
|
|
|
|
|
|
|
|
// Save current iterator position so we can continue where we left off later. |
|
|
|
|
|
iteratorRecursionStack.pop_back(); |
|
|
|
|
|
iteratorRecursionStack.push_back(currentIt + 1); |
|
|
|
|
|
|
|
|
|
|
|
// Also, put initial value for iterator on corresponding recursion stack. |
|
|
|
|
|
iteratorRecursionStack.push_back(matrix.constColumnIteratorBegin(*currentIt)); |
|
|
|
|
|
|
|
|
|
|
|
goto recursionStepForward; |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
topologicalSort.push_back(currentState); |
|
|
|
|
|
|
|
|
|
|
|
// If we reach this point, we have completed the recursive descent for the current state. |
|
|
|
|
|
// That is, we need to pop it from the recursion stacks. |
|
|
|
|
|
recursionStack.pop_back(); |
|
|
|
|
|
iteratorRecursionStack.pop_back(); |
|
|
|
|
|
|
|
|
|
|
|
// If there is at least one state under the current one in our recursion stack, we need |
|
|
|
|
|
// to restore the topmost state as the current state and jump to the part after the |
|
|
|
|
|
// original recursive call. |
|
|
|
|
|
if (recursionStack.size() > 0) { |
|
|
|
|
|
currentState = recursionStack.back(); |
|
|
|
|
|
currentIt = iteratorRecursionStack.back(); |
|
|
|
|
|
|
|
|
std::pair<storm::storage::BitVector, storm::storage::BitVector> performProb01Min(storm::models::AbstractNondeterministicModel<T> const& model, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates) { |
|
|
|
|
|
std::pair<storm::storage::BitVector, storm::storage::BitVector> result; |
|
|
|
|
|
|
|
|
goto recursionStepBackward; |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
// Get the backwards transition relation from the model to ease the search. |
|
|
|
|
|
storm::storage::SparseMatrix<bool> backwardTransitions = model.getBackwardTransitions(); |
|
|
|
|
|
|
|
|
return topologicalSort; |
|
|
|
|
|
|
|
|
result.first = performProb0E(model, backwardTransitions, phiStates, psiStates); |
|
|
|
|
|
result.second = performProb1A(model, backwardTransitions, phiStates, psiStates); |
|
|
|
|
|
return result; |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
private: |
|
|
|
|
|
/*! |
|
|
/*! |
|
|
* Performs an SCC decomposition using Tarjan's algorithm. |
|
|
* Performs an SCC decomposition using Tarjan's algorithm. |
|
|
* |
|
|
* |
|
@ -548,7 +436,7 @@ private: |
|
|
* @param stronglyConnectedComponents A vector of strongly connected components to which newly found SCCs are added. |
|
|
* @param stronglyConnectedComponents A vector of strongly connected components to which newly found SCCs are added. |
|
|
*/ |
|
|
*/ |
|
|
template <typename T> |
|
|
template <typename T> |
|
|
static void performSccDecompositionHelper(uint_fast64_t startState, 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, storm::storage::SparseMatrix<T> const& matrix, std::vector<std::vector<uint_fast64_t>>& stronglyConnectedComponents) { |
|
|
|
|
|
|
|
|
void performSccDecompositionHelper(uint_fast64_t startState, 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, storm::storage::SparseMatrix<T> const& matrix, std::vector<std::vector<uint_fast64_t>>& stronglyConnectedComponents) { |
|
|
// 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 |
|
@ -636,10 +524,123 @@ private: |
|
|
} |
|
|
} |
|
|
} |
|
|
} |
|
|
} |
|
|
} |
|
|
}; |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*! |
|
|
|
|
|
* Performs a decomposition of the given model into its SCCs. |
|
|
|
|
|
* |
|
|
|
|
|
* @param model The nondeterminstic model to decompose. |
|
|
|
|
|
* @return A vector of SCCs of the model. |
|
|
|
|
|
*/ |
|
|
|
|
|
template <typename T> |
|
|
|
|
|
std::vector<std::vector<uint_fast64_t>> performSccDecomposition(storm::models::AbstractModel<T> const& model) { |
|
|
|
|
|
LOG4CPLUS_INFO(logger, "Computing SCC decomposition."); |
|
|
|
|
|
|
|
|
|
|
|
std::vector<std::vector<uint_fast64_t>> scc; |
|
|
|
|
|
uint_fast64_t numberOfStates = model.getNumberOfStates(); |
|
|
|
|
|
|
|
|
|
|
|
// Set up the environment of Tarjan's algorithm. |
|
|
|
|
|
std::vector<uint_fast64_t> tarjanStack; |
|
|
|
|
|
tarjanStack.reserve(numberOfStates); |
|
|
|
|
|
storm::storage::BitVector tarjanStackStates(numberOfStates); |
|
|
|
|
|
std::vector<uint_fast64_t> stateIndices(numberOfStates); |
|
|
|
|
|
std::vector<uint_fast64_t> lowlinks(numberOfStates); |
|
|
|
|
|
storm::storage::BitVector visitedStates(numberOfStates); |
|
|
|
|
|
|
|
|
|
|
|
// Start the search for SCCs from every vertex in the graph structure, because there is. |
|
|
|
|
|
uint_fast64_t currentIndex = 0; |
|
|
|
|
|
for (uint_fast64_t state = 0; state < numberOfStates; ++state) { |
|
|
|
|
|
if (!visitedStates.get(state)) { |
|
|
|
|
|
performSccDecompositionHelper(state, currentIndex, stateIndices, lowlinks, tarjanStack, tarjanStackStates, visitedStates, *model.getTransitionMatrix(), scc); |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
LOG4CPLUS_INFO(logger, "Done computing SCC decomposition."); |
|
|
|
|
|
return scc; |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
/*! |
|
|
|
|
|
* Performs a topological sort of the states of the system according to the given transitions. |
|
|
|
|
|
* |
|
|
|
|
|
* @param matrix A square matrix representing the transition relation of the system. |
|
|
|
|
|
* @return A vector of indices that is a topological sort of the states. |
|
|
|
|
|
*/ |
|
|
|
|
|
template <typename T> |
|
|
|
|
|
std::vector<uint_fast64_t> getTopologicalSort(storm::storage::SparseMatrix<T> const& matrix) { |
|
|
|
|
|
if (matrix.getRowCount() != matrix.getColumnCount()) { |
|
|
|
|
|
LOG4CPLUS_ERROR(logger, "Provided matrix is required to be square."); |
|
|
|
|
|
throw storm::exceptions::InvalidArgumentException() << "Provided matrix is required to be square."; |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
uint_fast64_t numberOfStates = matrix.getRowCount(); |
|
|
|
|
|
|
|
|
|
|
|
// Prepare the result. This relies on the matrix being square. |
|
|
|
|
|
std::vector<uint_fast64_t> topologicalSort; |
|
|
|
|
|
topologicalSort.reserve(numberOfStates); |
|
|
|
|
|
|
|
|
|
|
|
// Prepare the stacks needed for recursion. |
|
|
|
|
|
std::vector<uint_fast64_t> recursionStack; |
|
|
|
|
|
recursionStack.reserve(matrix.getRowCount()); |
|
|
|
|
|
std::vector<typename storm::storage::SparseMatrix<T>::ConstIndexIterator> iteratorRecursionStack; |
|
|
|
|
|
iteratorRecursionStack.reserve(numberOfStates); |
|
|
|
|
|
|
|
|
|
|
|
// Perform a depth-first search over the given transitions and record states in the reverse order they were visited. |
|
|
|
|
|
storm::storage::BitVector visitedStates(numberOfStates); |
|
|
|
|
|
for (uint_fast64_t state = 0; state < numberOfStates; ++state) { |
|
|
|
|
|
if (!visitedStates.get(state)) { |
|
|
|
|
|
recursionStack.push_back(state); |
|
|
|
|
|
iteratorRecursionStack.push_back(matrix.constColumnIteratorBegin(state)); |
|
|
|
|
|
|
|
|
|
|
|
recursionStepForward: |
|
|
|
|
|
while (!recursionStack.empty()) { |
|
|
|
|
|
uint_fast64_t currentState = recursionStack.back(); |
|
|
|
|
|
typename storm::storage::SparseMatrix<T>::ConstIndexIterator currentIt = iteratorRecursionStack.back(); |
|
|
|
|
|
|
|
|
|
|
|
visitedStates.set(currentState, true); |
|
|
|
|
|
|
|
|
|
|
|
recursionStepBackward: |
|
|
|
|
|
for (; currentIt != matrix.constColumnIteratorEnd(currentState); ++currentIt) { |
|
|
|
|
|
if (!visitedStates.get(*currentIt)) { |
|
|
|
|
|
// Put unvisited successor on top of our recursion stack and remember that. |
|
|
|
|
|
recursionStack.push_back(*currentIt); |
|
|
|
|
|
|
|
|
|
|
|
// Save current iterator position so we can continue where we left off later. |
|
|
|
|
|
iteratorRecursionStack.pop_back(); |
|
|
|
|
|
iteratorRecursionStack.push_back(currentIt + 1); |
|
|
|
|
|
|
|
|
|
|
|
// Also, put initial value for iterator on corresponding recursion stack. |
|
|
|
|
|
iteratorRecursionStack.push_back(matrix.constColumnIteratorBegin(*currentIt)); |
|
|
|
|
|
|
|
|
|
|
|
goto recursionStepForward; |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
topologicalSort.push_back(currentState); |
|
|
|
|
|
|
|
|
|
|
|
// If we reach this point, we have completed the recursive descent for the current state. |
|
|
|
|
|
// That is, we need to pop it from the recursion stacks. |
|
|
|
|
|
recursionStack.pop_back(); |
|
|
|
|
|
iteratorRecursionStack.pop_back(); |
|
|
|
|
|
|
|
|
|
|
|
// If there is at least one state under the current one in our recursion stack, we need |
|
|
|
|
|
// to restore the topmost state as the current state and jump to the part after the |
|
|
|
|
|
// original recursive call. |
|
|
|
|
|
if (recursionStack.size() > 0) { |
|
|
|
|
|
currentState = recursionStack.back(); |
|
|
|
|
|
currentIt = iteratorRecursionStack.back(); |
|
|
|
|
|
|
|
|
|
|
|
goto recursionStepBackward; |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
return topologicalSort; |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
} // namespace graph |
|
|
|
|
|
|
|
|
} // namespace utility |
|
|
} // namespace utility |
|
|
|
|
|
|
|
|
} // namespace storm |
|
|
} // namespace storm |
|
|
|
|
|
|
|
|
#endif /* STORM_UTILITY_GRAPHANALYZER_H_ */ |
|
|
|
|
|
|
|
|
#endif /* STORM_UTILITY_GRAPH_H_ */ |