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Started implementing the model checker for MDPs. Added reduce functionality to vector utility. Moved min/max capability to NoBoundOperator.

tempestpy_adaptions
dehnert 12 years ago
parent
commit
48dea0199e
  1. 44
      src/formula/NoBoundOperator.h
  2. 28
      src/formula/ProbabilisticNoBoundOperator.h
  3. 5
      src/modelchecker/DtmcPrctlModelChecker.h
  4. 2
      src/modelchecker/GmmxxDtmcPrctlModelChecker.h
  5. 409
      src/modelchecker/GmmxxMdpPrctlModelChecker.h
  6. 375
      src/modelchecker/MdpPrctlModelChecker.h
  7. 42
      src/utility/Vector.h

44
src/formula/NoBoundOperator.h

@ -74,8 +74,8 @@ public:
/*!
* Empty constructor
*/
NoBoundOperator() {
this->pathFormula = NULL;
NoBoundOperator() : optimalityOperator(false), minimumOperator(false) {
this->pathFormula = nullptr;
}
/*!
@ -83,7 +83,19 @@ public:
*
* @param pathFormula The child node.
*/
NoBoundOperator(AbstractPathFormula<T>* pathFormula) {
NoBoundOperator(AbstractPathFormula<T>* pathFormula) : optimalityOperator(false), minimumOperator(false) {
this->pathFormula = pathFormula;
}
/*!
* Constructor
*
* @param pathFormula The child node.
* @param minimumOperator A flag indicating whether this operator is a minimizing or a
* maximizing operator.
*/
NoBoundOperator(AbstractPathFormula<T>* pathFormula, bool minimumOperator)
: optimalityOperator(true), minimumOperator(minimumOperator) {
this->pathFormula = pathFormula;
}
@ -142,8 +154,34 @@ public:
return checker.conforms(this->pathFormula);
}
/*!
* Retrieves whether the operator is to be interpreted as an optimizing (i.e. min/max) operator.
* @returns True if the operator is an optimizing operator.
*/
bool isOptimalityOperator() const {
return optimalityOperator;
}
/*!
* Retrieves whether the operator is a minimizing operator given that it is an optimality
* operator.
* @returns True if the operator is an optimizing operator and it is a minimizing operator and
* false otherwise, i.e. if it is either not an optimizing operator or not a minimizing operator.
*/
bool isMinimumOperator() const {
return optimalityOperator && minimumOperator;
}
private:
AbstractPathFormula<T>* pathFormula;
// A flag that indicates whether this operator is meant as an optimizing (i.e. min/max) operator
// over a nondeterministic model.
bool optimalityOperator;
// In the case this operator is an optimizing operator, this flag indicates whether it is
// looking for the minimum or the maximum value.
bool minimumOperator;
};
} /* namespace formula */

28
src/formula/ProbabilisticNoBoundOperator.h

@ -51,7 +51,7 @@ public:
/*!
* Empty constructor
*/
ProbabilisticNoBoundOperator() : NoBoundOperator<T>(nullptr), optimalityOperator(false), minimumOperator(false) {
ProbabilisticNoBoundOperator() : NoBoundOperator<T>(nullptr) {
// Intentionally left empty
}
@ -60,18 +60,7 @@ public:
*
* @param pathFormula The child node.
*/
ProbabilisticNoBoundOperator(AbstractPathFormula<T>* pathFormula) : NoBoundOperator<T>(pathFormula),
optimalityOperator(false), minimumOperator(false) {
// Intentionally left empty
}
/*!
* Constructor
*
* @param pathFormula The child node.
*/
ProbabilisticNoBoundOperator(AbstractPathFormula<T>* pathFormula, bool minimumOperator) : NoBoundOperator<T>(pathFormula),
optimalityOperator(true), minimumOperator(minimumOperator) {
ProbabilisticNoBoundOperator(AbstractPathFormula<T>* pathFormula) : NoBoundOperator<T>(pathFormula) {
// Intentionally left empty
}
@ -80,8 +69,8 @@ public:
*/
virtual std::string toString() const {
std::string result = "P";
if (optimalityOperator) {
if (minimumOperator) {
if (this->isOptimalityOperator()) {
if (this->isMinimumOperator()) {
result += "min";
} else {
result += "max";
@ -92,15 +81,6 @@ public:
result += "]";
return result;
}
private:
// A flag that indicates whether this operator is meant as an optimizing (i.e. min/max) operator
// over a nondeterministic model.
bool optimalityOperator;
// In the case this operator is an optimizing operator, this flag indicates whether it is
// looking for the minimum or the maximum value.
bool minimumOperator;
};
} /* namespace formula */

5
src/modelchecker/DtmcPrctlModelChecker.h

@ -178,6 +178,7 @@ public:
}
if (!this->getModel().hasAtomicProposition(formula.getAp())) {
LOG4CPLUS_ERROR(logger, "Atomic proposition '" << formula.getAp() << "' is invalid.");
throw storm::exceptions::InvalidPropertyException() << "Atomic proposition '" << formula.getAp() << "' is invalid.";
return nullptr;
}
@ -246,6 +247,10 @@ public:
* @returns The set of states satisfying the formula, represented by a bit vector
*/
std::vector<Type>* checkNoBoundOperator(const storm::formula::NoBoundOperator<Type>& formula) const {
// Check if the operator was an optimality operator and report a warning in that case.
if (formula.isOptimalityOperator()) {
LOG4CPLUS_WARN(logger, "Formula contains min/max operator which is not meaningful over deterministic models.");
}
return formula.getPathFormula().check(*this);
}

2
src/modelchecker/GmmxxDtmcPrctlModelChecker.h

@ -329,7 +329,7 @@ public:
* @return The name of this module.
*/
static std::string getModuleName() {
return "gmm++";
return "gmm++det";
}
/*!

409
src/modelchecker/GmmxxMdpPrctlModelChecker.h

@ -0,0 +1,409 @@
/*
* GmmxxDtmcPrctlModelChecker.h
*
* Created on: 06.12.2012
* Author: Christian Dehnert
*/
#ifndef STORM_MODELCHECKER_GMMXXDTMCPRCTLMODELCHECKER_H_
#define STORM_MODELCHECKER_GMMXXDTMCPRCTLMODELCHECKER_H_
#include <cmath>
#include "src/models/Mdp.h"
#include "src/modelchecker/MdpPrctlModelChecker.h"
#include "src/utility/GraphAnalyzer.h"
#include "src/utility/Vector.h"
#include "src/utility/ConstTemplates.h"
#include "src/utility/Settings.h"
#include "src/adapters/GmmxxAdapter.h"
#include "src/exceptions/InvalidPropertyException.h"
#include "src/storage/JacobiDecomposition.h"
#include "gmm/gmm_matrix.h"
#include "gmm/gmm_iter_solvers.h"
#include "log4cplus/logger.h"
#include "log4cplus/loggingmacros.h"
extern log4cplus::Logger logger;
namespace storm {
namespace modelChecker {
/*
* A model checking engine that makes use of the gmm++ backend.
*/
template <class Type>
class GmmxxDtmcPrctlModelChecker : public MdpPrctlModelChecker<Type> {
public:
explicit GmmxxDtmcPrctlModelChecker(storm::models::Mdp<Type>& mdp) : MdpPrctlModelChecker<Type>(mdp) { }
virtual ~GmmxxDtmcPrctlModelChecker() { }
virtual std::vector<Type>* checkBoundedUntil(const storm::formula::BoundedUntil<Type>& formula) const {
// First, we need to compute the states that satisfy the sub-formulas of the until-formula.
storm::storage::BitVector* leftStates = this->checkStateFormula(formula.getLeft());
storm::storage::BitVector* rightStates = this->checkStateFormula(formula.getRight());
// Copy the matrix before we make any changes.
storm::storage::SparseMatrix<Type> tmpMatrix(*this->getModel().getTransitionMatrix());
// Get the starting row indices for the non-deterministic choices to reduce the resulting
// vector properly.
std::shared_ptr<std::vector<uint_fast64_t>> nondeterministicChoiceIndices = this->getModel().getNondeterministicChoiceIndices();
// Make all rows absorbing that violate both sub-formulas or satisfy the second sub-formula.
tmpMatrix.makeRowsAbsorbing(~(*leftStates | *rightStates) | *rightStates);
// Transform the transition probability matrix to the gmm++ format to use its arithmetic.
gmm::csr_matrix<Type>* gmmxxMatrix = storm::adapters::GmmxxAdapter::toGmmxxSparseMatrix<Type>(tmpMatrix);
// Create the vector with which to multiply.
std::vector<Type>* result = new std::vector<Type>(this->getModel().getNumberOfStates());
storm::utility::setVectorValues(result, *rightStates, storm::utility::constGetOne<Type>());
// Create vector for result of multiplication, which is reduced to the result vector after
// each multiplication.
std::vector<Type>* multiplyResult = new std::vector<Type>(this->getModel().getTransitionMatrix().getRowCount());
// Now perform matrix-vector multiplication as long as we meet the bound of the formula.
for (uint_fast64_t i = 0; i < formula.getBound(); ++i) {
gmm::mult(*gmmxxMatrix, *result, *multiplyResult);
if (minimumOperatorStack.top()) {
storm::utility::reduceVectorMin(*multiplyResult, result, *nondeterministicChoiceIndices);
} else {
storm::utility::reduceVectorMax(*multiplyResult, result, *nondeterministicChoiceIndices);
}
}
delete multiplyResult;
// Delete intermediate results and return result.
delete gmmxxMatrix;
delete leftStates;
delete rightStates;
return result;
}
virtual std::vector<Type>* checkNext(const storm::formula::Next<Type>& formula) const {
// First, we need to compute the states that satisfy the sub-formula of the next-formula.
storm::storage::BitVector* nextStates = this->checkStateFormula(formula.getChild());
// Transform the transition probability matrix to the gmm++ format to use its arithmetic.
gmm::csr_matrix<Type>* gmmxxMatrix = storm::adapters::GmmxxAdapter::toGmmxxSparseMatrix<Type>(*this->getModel().getTransitionMatrix());
// Create the vector with which to multiply and initialize it correctly.
std::vector<Type>* result = new std::vector<Type>(this->getModel().getNumberOfStates());
storm::utility::setVectorValues(result, *nextStates, storm::utility::constGetOne<Type>());
// Delete obsolete sub-result.
delete nextStates;
// Create resulting vector.
std::vector<Type>* temporaryResult = new std::vector<Type>(this->getModel().getTransitionMatrix().getRowCount());
// Perform the actual computation, namely matrix-vector multiplication.
gmm::mult(*gmmxxMatrix, *result, *temporaryResult);
// Get the starting row indices for the non-deterministic choices to reduce the resulting
// vector properly.
std::shared_ptr<std::vector<uint_fast64_t>> nondeterministicChoiceIndices = this->getModel().getNondeterministicChoiceIndices();
if (minimumOperatorStack.top()) {
storm::utility::reduceVectorMin(*temporaryResult, result, *nondeterministicChoiceIndices);
} else {
storm::utility::reduceVectorMax(*temporaryResult, result, *nondeterministicChoiceIndices);
}
// Delete temporary matrix plus temporary result and return result.
delete gmmxxMatrix;
delete temporaryResult;
return result;
}
virtual std::vector<Type>* checkUntil(const storm::formula::Until<Type>& formula) const {
// First, we need to compute the states that satisfy the sub-formulas of the until-formula.
storm::storage::BitVector* leftStates = this->checkStateFormula(formula.getLeft());
storm::storage::BitVector* rightStates = this->checkStateFormula(formula.getRight());
// Then, we need to identify the states which have to be taken out of the matrix, i.e.
// all states that have probability 0 and 1 of satisfying the until-formula.
storm::storage::BitVector statesWithProbability0(this->getModel().getNumberOfStates());
storm::storage::BitVector statesWithProbability1(this->getModel().getNumberOfStates());
if (minimumOperatorStack.top()) {
storm::utility::GraphAnalyzer::performProb01Min(this->getModel(), *leftStates, *rightStates, &statesWithProbability0, &statesWithProbability1);
} else {
storm::utility::GraphAnalyzer::performProb01Max(this->getModel(), *leftStates, *rightStates, &statesWithProbability0, &statesWithProbability1);
}
// Delete sub-results that are obsolete now.
delete leftStates;
delete rightStates;
LOG4CPLUS_INFO(logger, "Found " << statesWithProbability0.getNumberOfSetBits() << " 'no' states.");
LOG4CPLUS_INFO(logger, "Found " << statesWithProbability1.getNumberOfSetBits() << " 'yes' states.");
storm::storage::BitVector maybeStates = ~(statesWithProbability0 | statesWithProbability1);
LOG4CPLUS_INFO(logger, "Found " << maybeStates.getNumberOfSetBits() << " 'maybe' states.");
// Create resulting vector.
std::vector<Type>* result = new std::vector<Type>(this->getModel().getNumberOfStates());
// Only try to solve system if there are states for which the probability is unknown.
uint_fast64_t mayBeStatesSetBitCount = maybeStates.getNumberOfSetBits();
if (mayBeStatesSetBitCount > 0) {
// Now we can eliminate the rows and columns from the original transition probability matrix.
storm::storage::SparseMatrix<Type>* submatrix = this->getModel().getTransitionMatrix()->getSubmatrix(maybeStates);
// Transform the submatrix to the gmm++ format to use its solvers.
gmm::csr_matrix<Type>* gmmxxMatrix = storm::adapters::GmmxxAdapter::toGmmxxSparseMatrix<Type>(*submatrix);
delete submatrix;
// Initialize the x vector with 0.5 for each element. This is the initial guess for
// iteratively solving the equations.
std::vector<Type> x(mayBeStatesSetBitCount, Type(0.5));
// Prepare the right-hand side of the equation system. For entry i this corresponds to
// the accumulated probability of going from state i to some 'yes' state.
std::vector<Type> b(mayBeStatesSetBitCount);
this->getModel().getTransitionMatrix()->getConstrainedRowCountVector(maybeStates, statesWithProbability1, &b);
// Solve the corresponding system of linear equations.
this->solveEquationSystem(*gmmxxMatrix, x, b);
// Set values of resulting vector according to result.
storm::utility::setVectorValues<Type>(result, maybeStates, x);
// Delete temporary matrix.
delete gmmxxMatrix;
}
// Set values of resulting vector that are known exactly.
storm::utility::setVectorValues<Type>(result, statesWithProbability0, storm::utility::constGetZero<Type>());
storm::utility::setVectorValues<Type>(result, statesWithProbability1, storm::utility::constGetOne<Type>());
return result;
}
virtual std::vector<Type>* checkInstantaneousReward(const storm::formula::InstantaneousReward<Type>& formula) const {
// Only compute the result if the model has a state-based reward model.
if (!this->getModel().hasStateRewards()) {
LOG4CPLUS_ERROR(logger, "Missing (state-based) reward model for formula.");
throw storm::exceptions::InvalidPropertyException() << "Missing (state-based) reward model for formula.";
}
// Transform the transition probability matrix to the gmm++ format to use its arithmetic.
gmm::csr_matrix<Type>* gmmxxMatrix = storm::adapters::GmmxxAdapter::toGmmxxSparseMatrix<Type>(*this->getModel().getTransitionMatrix());
// Initialize result to state rewards of the model.
std::vector<Type>* result = new std::vector<Type>(*this->getModel().getStateRewardVector());
// Now perform matrix-vector multiplication as long as we meet the bound of the formula.
std::vector<Type>* swap = nullptr;
std::vector<Type>* tmpResult = new std::vector<Type>(this->getModel().getNumberOfStates());
for (uint_fast64_t i = 0; i < formula.getBound(); ++i) {
gmm::mult(*gmmxxMatrix, *result, *tmpResult);
swap = tmpResult;
tmpResult = result;
result = swap;
}
// Delete temporary variables and return result.
delete tmpResult;
delete gmmxxMatrix;
return result;
}
virtual std::vector<Type>* checkCumulativeReward(const storm::formula::CumulativeReward<Type>& formula) const {
// Only compute the result if the model has at least one reward model.
if (!this->getModel().hasStateRewards() && !this->getModel().hasTransitionRewards()) {
LOG4CPLUS_ERROR(logger, "Missing reward model for formula.");
throw storm::exceptions::InvalidPropertyException() << "Missing reward model for formula.";
}
// Transform the transition probability matrix to the gmm++ format to use its arithmetic.
gmm::csr_matrix<Type>* gmmxxMatrix = storm::adapters::GmmxxAdapter::toGmmxxSparseMatrix<Type>(*this->getModel().getTransitionMatrix());
// Compute the reward vector to add in each step based on the available reward models.
std::vector<Type>* totalRewardVector = nullptr;
if (this->getModel().hasTransitionRewards()) {
totalRewardVector = this->getModel().getTransitionMatrix()->getPointwiseProductRowSumVector(*this->getModel().getTransitionRewardMatrix());
if (this->getModel().hasStateRewards()) {
gmm::add(*this->getModel().getStateRewardVector(), *totalRewardVector);
}
} else {
totalRewardVector = new std::vector<Type>(*this->getModel().getStateRewardVector());
}
std::vector<Type>* result = new std::vector<Type>(this->getModel().getNumberOfStates());
// Now perform matrix-vector multiplication as long as we meet the bound of the formula.
std::vector<Type>* swap = nullptr;
std::vector<Type>* tmpResult = new std::vector<Type>(this->getModel().getNumberOfStates());
for (uint_fast64_t i = 0; i < formula.getBound(); ++i) {
gmm::mult(*gmmxxMatrix, *result, *tmpResult);
swap = tmpResult;
tmpResult = result;
result = swap;
// Add the reward vector to the result.
gmm::add(*totalRewardVector, *result);
}
// Delete temporary variables and return result.
delete tmpResult;
delete gmmxxMatrix;
delete totalRewardVector;
return result;
}
virtual std::vector<Type>* checkReachabilityReward(const storm::formula::ReachabilityReward<Type>& formula) const {
// Only compute the result if the model has at least one reward model.
if (!this->getModel().hasStateRewards() && !this->getModel().hasTransitionRewards()) {
LOG4CPLUS_ERROR(logger, "Missing reward model for formula. Skipping formula");
throw storm::exceptions::InvalidPropertyException() << "Missing reward model for formula.";
}
// Determine the states for which the target predicate holds.
storm::storage::BitVector* targetStates = this->checkStateFormula(formula.getChild());
// Determine which states have a reward of infinity by definition.
storm::storage::BitVector infinityStates(this->getModel().getNumberOfStates());
storm::storage::BitVector trueStates(this->getModel().getNumberOfStates(), true);
storm::utility::GraphAnalyzer::performProb1(this->getModel(), trueStates, *targetStates, &infinityStates);
infinityStates.complement();
// Create resulting vector.
std::vector<Type>* result = new std::vector<Type>(this->getModel().getNumberOfStates());
// Check whether there are states for which we have to compute the result.
storm::storage::BitVector maybeStates = ~(*targetStates) & ~infinityStates;
const int maybeStatesSetBitCount = maybeStates.getNumberOfSetBits();
if (maybeStatesSetBitCount > 0) {
// Now we can eliminate the rows and columns from the original transition probability matrix.
storm::storage::SparseMatrix<Type>* submatrix = this->getModel().getTransitionMatrix()->getSubmatrix(maybeStates);
// Converting the matrix from the fixpoint notation to the form needed for the equation
// system. That is, we go from x = A*x + b to (I-A)x = b.
submatrix->convertToEquationSystem();
// Transform the submatrix to the gmm++ format to use its solvers.
gmm::csr_matrix<Type>* gmmxxMatrix = storm::adapters::GmmxxAdapter::toGmmxxSparseMatrix<Type>(*submatrix);
delete submatrix;
// Initialize the x vector with 1 for each element. This is the initial guess for
// the iterative solvers.
std::vector<Type> x(maybeStatesSetBitCount, storm::utility::constGetOne<Type>());
// Prepare the right-hand side of the equation system.
std::vector<Type>* b = new std::vector<Type>(maybeStatesSetBitCount);
if (this->getModel().hasTransitionRewards()) {
// If a transition-based reward model is available, we initialize the right-hand
// side to the vector resulting from summing the rows of the pointwise product
// of the transition probability matrix and the transition reward matrix.
std::vector<Type>* pointwiseProductRowSumVector = this->getModel().getTransitionMatrix()->getPointwiseProductRowSumVector(*this->getModel().getTransitionRewardMatrix());
storm::utility::selectVectorValues(b, maybeStates, *pointwiseProductRowSumVector);
delete pointwiseProductRowSumVector;
if (this->getModel().hasStateRewards()) {
// If a state-based reward model is also available, we need to add this vector
// as well. As the state reward vector contains entries not just for the states
// that we still consider (i.e. maybeStates), we need to extract these values
// first.
std::vector<Type>* subStateRewards = new std::vector<Type>(maybeStatesSetBitCount);
storm::utility::setVectorValues(subStateRewards, maybeStates, *this->getModel().getStateRewardVector());
gmm::add(*subStateRewards, *b);
delete subStateRewards;
}
} else {
// If only a state-based reward model is available, we take this vector as the
// right-hand side. As the state reward vector contains entries not just for the
// states that we still consider (i.e. maybeStates), we need to extract these values
// first.
storm::utility::setVectorValues(b, maybeStates, *this->getModel().getStateRewardVector());
}
// Solve the corresponding system of linear equations.
this->solveLinearEquationSystem(*gmmxxMatrix, x, *b);
// Set values of resulting vector according to result.
storm::utility::setVectorValues<Type>(result, maybeStates, x);
// Delete temporary matrix and right-hand side.
delete gmmxxMatrix;
delete b;
}
// Set values of resulting vector that are known exactly.
storm::utility::setVectorValues(result, *targetStates, storm::utility::constGetZero<Type>());
storm::utility::setVectorValues(result, infinityStates, storm::utility::constGetInfinity<Type>());
// Delete temporary storages and return result.
delete targetStates;
return result;
}
/*!
* Returns the name of this module.
* @return The name of this module.
*/
static std::string getModuleName() {
return "gmm++nondet";
}
/*!
* Returns a trigger such that if the option "matrixlib" is set to "gmm++", this model checker
* is to be used.
* @return An option trigger for this module.
*/
static std::pair<std::string, std::string> getOptionTrigger() {
return std::pair<std::string, std::string>("matrixlib", "gmm++");
}
/*!
* Registers all options associated with the gmm++ matrix library.
*/
static void putOptions(boost::program_options::options_description* desc) {
desc->add_options()("lemaxiter", boost::program_options::value<unsigned>()->default_value(10000), "Sets the maximal number of iterations for iterative equation solving.");
desc->add_options()("precision", boost::program_options::value<double>()->default_value(10e-6), "Sets the precision for iterative linear equation solving.");
}
private:
/*!
* Solves the given equation system under the given parameters using the power method.
*
* @param A The matrix A specifying the coefficients of the equations.
* @param x The vector x for which to solve the equations. The initial value of the elements of
* this vector are used as the initial guess and might thus influence performance and convergence.
* @param b The vector b specifying the values on the right-hand-sides of the equations.
* @return The solution of the system of linear equations in form of the elements of the vector
* x.
*/
void solveLinearEquationSystem(gmm::csr_matrix<Type> const& A, std::vector<Type>& x, std::vector<Type> const& b) const {
// Get the settings object to customize linear solving.
storm::settings::Settings* s = storm::settings::instance();
// Get relevant user-defined settings for solving the equations
double precison = s->get<double>("precision");
unsigned maxIterations = s->get<unsigned>("lemaxiter");
// Check if the solver converged and issue a warning otherwise.
if (iter.converged()) {
LOG4CPLUS_INFO(logger, "Iterative solver converged after " << iter.get_iteration() << " iterations.");
} else {
LOG4CPLUS_WARN(logger, "Iterative solver did not converge.");
}
}
};
} //namespace modelChecker
} //namespace storm
#endif /* STORM_MODELCHECKER_GMMXXDTMCPRCTLMODELCHECKER_H_ */

375
src/modelchecker/MdpPrctlModelChecker.h

@ -0,0 +1,375 @@
/*
* MdpPrctlModelChecker.h
*
* Created on: 15.02.2013
* Author: Christian Dehnert
*/
#ifndef STORM_MODELCHECKER_MDPPRCTLMODELCHECKER_H_
#define STORM_MODELCHECKER_MDPPRCTLMODELCHECKER_H_
#include "src/formula/Formulas.h"
#include "src/utility/Vector.h"
#include "src/storage/SparseMatrix.h"
#include "src/models/Mdp.h"
#include "src/storage/BitVector.h"
#include "src/exceptions/InvalidPropertyException.h"
#include "src/utility/Vector.h"
#include "src/modelchecker/AbstractModelChecker.h"
#include <vector>
#include "log4cplus/logger.h"
#include "log4cplus/loggingmacros.h"
extern log4cplus::Logger logger;
namespace storm {
namespace modelChecker {
/*!
* @brief
* Interface for model checker classes.
*
* This class provides basic functions that are the same for all subclasses, but mainly only declares
* abstract methods that are to be implemented in concrete instances.
*
* @attention This class is abstract.
*/
template<class Type>
class MdpPrctlModelChecker :
public virtual AbstractModelChecker<Type> {
public:
/*!
* Constructor
*
* @param model The dtmc model which is checked.
*/
explicit MdpPrctlModelChecker(storm::models::Mdp<Type>& model) : model(model), minimumOperatorStack() {
}
/*!
* Copy constructor
*
* @param modelChecker The model checker that is copied.
*/
explicit MdpPrctlModelChecker(const storm::modelChecker::MdpPrctlModelChecker<Type>* modelChecker) : model(new storm::models::Mdp<Type>(modelChecker->getModel())), minimumOperatorStack() {
}
/*!
* Destructor
*/
virtual ~MdpPrctlModelChecker() {
// Intentionally left empty.
}
/*!
* @returns A reference to the dtmc of the model checker.
*/
storm::models::Mdp<Type>& getModel() const {
return this->model;
}
/*!
* Sets the DTMC model which is checked
* @param model
*/
void setModel(storm::models::Mdp<Type>& model) {
this->model = &model;
}
/*!
* Checks the given state formula on the DTMC and prints the result (true/false) for all initial
* states.
* @param stateFormula The formula to be checked.
*/
void check(const storm::formula::AbstractStateFormula<Type>& stateFormula) const {
std::cout << std::endl;
LOG4CPLUS_INFO(logger, "Model checking formula\t" << stateFormula.toString());
std::cout << "Model checking formula:\t" << stateFormula.toString() << std::endl;
storm::storage::BitVector* result = nullptr;
try {
result = stateFormula.check(*this);
LOG4CPLUS_INFO(logger, "Result for initial states:");
std::cout << "Result for initial states:" << std::endl;
for (auto initialState : *this->getModel().getLabeledStates("init")) {
LOG4CPLUS_INFO(logger, "\t" << initialState << ": " << (result->get(initialState) ? "satisfied" : "not satisfied"));
std::cout << "\t" << initialState << ": " << (*result)[initialState] << std::endl;
}
delete result;
} catch (std::exception& e) {
std::cout << "Error during computation: " << e.what() << "Skipping property." << std::endl;
if (result != nullptr) {
delete result;
}
}
std::cout << std::endl;
storm::utility::printSeparationLine(std::cout);
}
/*!
* Checks the given operator (with no bound) on the DTMC and prints the result
* (probability/rewards) for all initial states.
* @param noBoundFormula The formula to be checked.
*/
void check(const storm::formula::NoBoundOperator<Type>& noBoundFormula) const {
std::cout << std::endl;
LOG4CPLUS_INFO(logger, "Model checking formula\t" << noBoundFormula.toString());
std::cout << "Model checking formula:\t" << noBoundFormula.toString() << std::endl;
std::vector<Type>* result = nullptr;
try {
result = noBoundFormula.check(*this);
LOG4CPLUS_INFO(logger, "Result for initial states:");
std::cout << "Result for initial states:" << std::endl;
for (auto initialState : *this->getModel().getLabeledStates("init")) {
LOG4CPLUS_INFO(logger, "\t" << initialState << ": " << (*result)[initialState]);
std::cout << "\t" << initialState << ": " << (*result)[initialState] << std::endl;
}
delete result;
} catch (std::exception& e) {
std::cout << "Error during computation: " << e.what() << " Skipping property." << std::endl;
if (result != nullptr) {
delete result;
}
}
std::cout << std::endl;
storm::utility::printSeparationLine(std::cout);
}
/*!
* The check method for a state formula; Will infer the actual type of formula and delegate it
* to the specialized method
*
* @param formula The state formula to check
* @returns The set of states satisfying the formula, represented by a bit vector
*/
storm::storage::BitVector* checkStateFormula(const storm::formula::AbstractStateFormula<Type>& formula) const {
return formula.check(*this);
}
/*!
* The check method for a state formula with an And node as root in its formula tree
*
* @param formula The And formula to check
* @returns The set of states satisfying the formula, represented by a bit vector
*/
storm::storage::BitVector* checkAnd(const storm::formula::And<Type>& formula) const {
storm::storage::BitVector* result = checkStateFormula(formula.getLeft());
storm::storage::BitVector* right = checkStateFormula(formula.getRight());
(*result) &= (*right);
delete right;
return result;
}
/*!
* The check method for a formula with an AP node as root in its formula tree
*
* @param formula The Ap state formula to check
* @returns The set of states satisfying the formula, represented by a bit vector
*/
storm::storage::BitVector* checkAp(const storm::formula::Ap<Type>& formula) const {
if (formula.getAp().compare("true") == 0) {
return new storm::storage::BitVector(this->getModel().getNumberOfStates(), true);
} else if (formula.getAp().compare("false") == 0) {
return new storm::storage::BitVector(this->getModel().getNumberOfStates());
}
if (!this->getModel().hasAtomicProposition(formula.getAp())) {
LOG4CPLUS_ERROR(logger, "Atomic proposition '" << formula.getAp() << "' is invalid.");
throw storm::exceptions::InvalidPropertyException() << "Atomic proposition '" << formula.getAp() << "' is invalid.";
return nullptr;
}
return new storm::storage::BitVector(*this->getModel().getLabeledStates(formula.getAp()));
}
/*!
* The check method for a formula with a Not node as root in its formula tree
*
* @param formula The Not state formula to check
* @returns The set of states satisfying the formula, represented by a bit vector
*/
storm::storage::BitVector* checkNot(const storm::formula::Not<Type>& formula) const {
storm::storage::BitVector* result = checkStateFormula(formula.getChild());
result->complement();
return result;
}
/*!
* The check method for a state formula with an Or node as root in its formula tree
*
* @param formula The Or state formula to check
* @returns The set of states satisfying the formula, represented by a bit vector
*/
virtual storm::storage::BitVector* checkOr(const storm::formula::Or<Type>& formula) const {
storm::storage::BitVector* result = checkStateFormula(formula.getLeft());
storm::storage::BitVector* right = checkStateFormula(formula.getRight());
(*result) |= (*right);
delete right;
return result;
}
/*!
* The check method for a state formula with a bound operator node as root in
* its formula tree
*
* @param formula The state formula to check
* @returns The set of states satisfying the formula, represented by a bit vector
*/
storm::storage::BitVector* checkPathBoundOperator(const storm::formula::PathBoundOperator<Type>& formula) const {
// First, we need to compute the probability for satisfying the path formula for each state.
std::vector<Type>* quantitativeResult = this->checkPathFormula(formula.getPathFormula());
// Create resulting bit vector, which will hold the yes/no-answer for every state.
storm::storage::BitVector* result = new storm::storage::BitVector(this->getModel().getNumberOfStates());
// Now, we can compute which states meet the bound specified in this operator and set the
// corresponding bits to true in the resulting vector.
for (uint_fast64_t i = 0; i < this->getModel().getNumberOfStates(); ++i) {
if (formula.meetsBound((*quantitativeResult)[i])) {
result->set(i, true);
}
}
// Delete the probabilities computed for the states and return result.
delete quantitativeResult;
return result;
}
/*!
* The check method for a state formula with a probabilistic operator node without bounds as root
* in its formula tree
*
* @param formula The state formula to check
* @returns The set of states satisfying the formula, represented by a bit vector
*/
std::vector<Type>* checkNoBoundOperator(const storm::formula::NoBoundOperator<Type>& formula) const {
// Check if the operator was an non-optimality operator and report an error in that case.
if (!formula.isOptimalityOperator()) {
LOG4CPLUS_ERROR(logger, "Formula does not specify neither min nor max optimality, which is not meaningful over nondeterministic models.");
throw storm::exceptions::InvalidArgumentException() << "Formula does not specify neither min nor max optimality, which is not meaningful over nondeterministic models.";
}
minimumOperatorStack.push(formula.isMinimumOperator());
std::vector<Type>* result = formula.getPathFormula().check(*this);
minimumOperatorStack.pop();
return result;
}
/*!
* The check method for a path formula; Will infer the actual type of formula and delegate it
* to the specialized method
*
* @param formula The path formula to check
* @returns for each state the probability that the path formula holds.
*/
std::vector<Type>* checkPathFormula(const storm::formula::AbstractPathFormula<Type>& formula) const {
return formula.check(*this);
}
/*!
* The check method for a path formula with a Bounded Until operator node as root in its formula tree
*
* @param formula The Bounded Until path formula to check
* @returns for each state the probability that the path formula holds.
*/
virtual std::vector<Type>* checkBoundedUntil(const storm::formula::BoundedUntil<Type>& formula) const = 0;
/*!
* The check method for a path formula with a Next operator node as root in its formula tree
*
* @param formula The Next path formula to check
* @returns for each state the probability that the path formula holds.
*/
virtual std::vector<Type>* checkNext(const storm::formula::Next<Type>& formula) const = 0;
/*!
* The check method for a path formula with a Bounded Eventually operator node as root in its
* formula tree
*
* @param formula The Bounded Eventually path formula to check
* @returns for each state the probability that the path formula holds
*/
virtual std::vector<Type>* checkBoundedEventually(const storm::formula::BoundedEventually<Type>& formula) const {
// Create equivalent temporary bounded until formula and check it.
storm::formula::BoundedUntil<Type> temporaryBoundedUntilFormula(new storm::formula::Ap<Type>("true"), formula.getChild().clone(), formula.getBound());
return this->checkBoundedUntil(temporaryBoundedUntilFormula);
}
/*!
* The check method for a path formula with an Eventually operator node as root in its formula tree
*
* @param formula The Eventually path formula to check
* @returns for each state the probability that the path formula holds
*/
virtual std::vector<Type>* checkEventually(const storm::formula::Eventually<Type>& formula) const {
// Create equivalent temporary until formula and check it.
storm::formula::Until<Type> temporaryUntilFormula(new storm::formula::Ap<Type>("true"), formula.getChild().clone());
return this->checkUntil(temporaryUntilFormula);
}
/*!
* The check method for a path formula with a Globally operator node as root in its formula tree
*
* @param formula The Globally path formula to check
* @returns for each state the probability that the path formula holds
*/
virtual std::vector<Type>* checkGlobally(const storm::formula::Globally<Type>& formula) const {
// Create "equivalent" temporary eventually formula and check it.
storm::formula::Eventually<Type> temporaryEventuallyFormula(new storm::formula::Not<Type>(formula.getChild().clone()));
std::vector<Type>* result = this->checkEventually(temporaryEventuallyFormula);
// Now subtract the resulting vector from the constant one vector to obtain final result.
storm::utility::subtractFromConstantOneVector(result);
return result;
}
/*!
* The check method for a path formula with an Until operator node as root in its formula tree
*
* @param formula The Until path formula to check
* @returns for each state the probability that the path formula holds.
*/
virtual std::vector<Type>* checkUntil(const storm::formula::Until<Type>& formula) const = 0;
/*!
* The check method for a path formula with an Instantaneous Reward operator node as root in its
* formula tree
*
* @param formula The Instantaneous Reward formula to check
* @returns for each state the reward that the instantaneous reward yields
*/
virtual std::vector<Type>* checkInstantaneousReward(const storm::formula::InstantaneousReward<Type>& formula) const = 0;
/*!
* The check method for a path formula with a Cumulative Reward operator node as root in its
* formula tree
*
* @param formula The Cumulative Reward formula to check
* @returns for each state the reward that the cumulative reward yields
*/
virtual std::vector<Type>* checkCumulativeReward(const storm::formula::CumulativeReward<Type>& formula) const = 0;
/*!
* The check method for a path formula with a Reachability Reward operator node as root in its
* formula tree
*
* @param formula The Reachbility Reward formula to check
* @returns for each state the reward that the reachability reward yields
*/
virtual std::vector<Type>* checkReachabilityReward(const storm::formula::ReachabilityReward<Type>& formula) const = 0;
protected:
std::stack<bool> minimumOperatorStack;
private:
storm::models::Mdp<Type>& model;
};
} //namespace modelChecker
} //namespace storm
#endif /* STORM_MODELCHECKER_DTMCPRCTLMODELCHECKER_H_ */

42
src/utility/Vector.h

@ -53,6 +53,48 @@ void subtractFromConstantOneVector(std::vector<T>* vector) {
}
}
template<class T>
void reduceVectorMin(std::vector<T> const& source, std::vector<T>* target, std::vector<uint_fast64_t> const& filter) {
uint_fast64_t currentSourceRow = 0;
uint_fast64_t currentTargetRow = 0;
for (auto it = source->cbegin(); it != source->cend(); ++it, ++currentSourceRow) {
// Check whether we have considered all from rows for the current to row.
if (filter[currentTargetRow + 1] <= currentSourceRow) {
++currentTargetRow;
(*target)[currentTargetRow] = (*source)[currentSourceRow];
continue;
}
// We have to minimize the value, so only overwrite the current value if the
// value is actually lower.
if (*it < (*target)[currentTargetRow]) {
(*source)[currentTargetRow] = *it;
}
}
}
template<class T>
void reduceVectorMax(std::vector<T> const& source, std::vector<T>* target, std::vector<uint_fast64_t> const& filter) {
uint_fast64_t currentSourceRow = 0;
uint_fast64_t currentTargetRow = 0;
for (auto it = source->cbegin(); it != source->cend(); ++it, ++currentSourceRow) {
// Check whether we have considered all from rows for the current to row.
if (filter[currentTargetRow + 1] <= currentSourceRow) {
++currentTargetRow;
(*target)[currentTargetRow] = (*source)[currentSourceRow];
continue;
}
// We have to maximize the value, so only overwrite the current value if the
// value is actually greater.
if (*it > (*target)[currentTargetRow]) {
(*source)[currentTargetRow] = *it;
}
}
}
} //namespace utility
} //namespace storm

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