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symbolic MDP helper respecting solver requirements

main
dehnert 8 years ago
parent
7c24607427
commit
9bda631795
11 changed files with 199 additions and 43 deletions
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  1. 13
      src/storm/modelchecker/prctl/helper/SymbolicMdpPrctlHelper.cpp
  2. 13
      src/storm/solver/SymbolicEliminationLinearEquationSolver.cpp
  3. 6
      src/storm/solver/SymbolicEliminationLinearEquationSolver.h
  4. 41
      src/storm/solver/SymbolicLinearEquationSolver.cpp
  5. 32
      src/storm/solver/SymbolicLinearEquationSolver.h
  6. 41
      src/storm/solver/SymbolicMinMaxLinearEquationSolver.cpp
  7. 3
      src/storm/solver/SymbolicMinMaxLinearEquationSolver.h
  8. 13
      src/storm/solver/SymbolicNativeLinearEquationSolver.cpp
  9. 19
      src/storm/solver/SymbolicNativeLinearEquationSolver.h
  10. 45
      src/storm/utility/graph.cpp
  11. 6
      src/storm/utility/graph.h

13
src/storm/modelchecker/prctl/helper/SymbolicMdpPrctlHelper.cpp
View File

@ -29,6 +29,8 @@ namespace storm {
if (type == storm::solver::MinMaxLinearEquationSolverSystemType::UntilProbabilities) { if (type == storm::solver::MinMaxLinearEquationSolverSystemType::UntilProbabilities) {
result = storm::utility::graph::computeSchedulerProbGreater0E(model, transitionMatrix.notZero(), maybeStates, targetStates); result = storm::utility::graph::computeSchedulerProbGreater0E(model, transitionMatrix.notZero(), maybeStates, targetStates);
} else if (type == storm::solver::MinMaxLinearEquationSolverSystemType::ReachabilityRewards) {
result = storm::utility::graph::computeSchedulerProb1E(model, transitionMatrix.notZero(), maybeStates, targetStates, maybeStates || targetStates);
} }
return result; return result;
@ -240,7 +242,18 @@ namespace storm {
// Check requirements of solver. // Check requirements of solver.
storm::solver::MinMaxLinearEquationSolverRequirements requirements = solver->getRequirements(storm::solver::MinMaxLinearEquationSolverSystemType::ReachabilityRewards, dir); storm::solver::MinMaxLinearEquationSolverRequirements requirements = solver->getRequirements(storm::solver::MinMaxLinearEquationSolverSystemType::ReachabilityRewards, dir);
boost::optional<storm::dd::Bdd<DdType>> initialScheduler;
if (!requirements.empty()) {
if (requirements.requires(storm::solver::MinMaxLinearEquationSolverRequirements::Element::ValidInitialScheduler)) {
STORM_LOG_DEBUG("Computing valid scheduler, because the solver requires it.");
initialScheduler = computeValidSchedulerHint(storm::solver::MinMaxLinearEquationSolverSystemType::ReachabilityRewards, model, transitionMatrix, maybeStates, targetStates);
requirements.set(storm::solver::MinMaxLinearEquationSolverRequirements::Element::ValidInitialScheduler, false);
}
STORM_LOG_THROW(requirements.empty(), storm::exceptions::UncheckedRequirementException, "Could not establish requirements of solver."); STORM_LOG_THROW(requirements.empty(), storm::exceptions::UncheckedRequirementException, "Could not establish requirements of solver.");
}
if (initialScheduler) {
solver->setInitialScheduler(initialScheduler.get());
}
solver->setRequirementsChecked(); solver->setRequirementsChecked();
storm::dd::Add<DdType, ValueType> result = solver->solveEquations(dir, model.getManager().template getAddZero<ValueType>(), subvector); storm::dd::Add<DdType, ValueType> result = solver->solveEquations(dir, model.getManager().template getAddZero<ValueType>(), subvector);

13
src/storm/solver/SymbolicEliminationLinearEquationSolver.cpp
View File

@ -11,8 +11,13 @@ namespace storm {
namespace solver { namespace solver {
template<storm::dd::DdType DdType, typename ValueType> template<storm::dd::DdType DdType, typename ValueType>
SymbolicEliminationLinearEquationSolver<DdType, ValueType>::SymbolicEliminationLinearEquationSolver(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) : SymbolicLinearEquationSolver<DdType, ValueType>(A, allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs) {
storm::dd::DdManager<DdType>& ddManager = A.getDdManager();
SymbolicEliminationLinearEquationSolver<DdType, ValueType>::SymbolicEliminationLinearEquationSolver(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) : SymbolicEliminationLinearEquationSolver(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs) {
this->setMatrix(A);
}
template<storm::dd::DdType DdType, typename ValueType>
SymbolicEliminationLinearEquationSolver<DdType, ValueType>::SymbolicEliminationLinearEquationSolver(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) : SymbolicLinearEquationSolver<DdType, ValueType>(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs) {
storm::dd::DdManager<DdType>& ddManager = allRows.getDdManager();
// Create triple-layered meta variables for all original meta variables. We will use them later in the elimination process. // Create triple-layered meta variables for all original meta variables. We will use them later in the elimination process.
for (auto const& metaVariablePair : this->rowColumnMetaVariablePairs) { for (auto const& metaVariablePair : this->rowColumnMetaVariablePairs) {
@ -104,8 +109,8 @@ namespace storm {
} }
template<storm::dd::DdType DdType, typename ValueType> template<storm::dd::DdType DdType, typename ValueType>
std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> SymbolicEliminationLinearEquationSolverFactory<DdType, ValueType>::create(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const {
return std::make_unique<SymbolicEliminationLinearEquationSolver<DdType, ValueType>>(A, allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> SymbolicEliminationLinearEquationSolverFactory<DdType, ValueType>::create(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const {
return std::make_unique<SymbolicEliminationLinearEquationSolver<DdType, ValueType>>(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
} }
template<storm::dd::DdType DdType, typename ValueType> template<storm::dd::DdType DdType, typename ValueType>

6
src/storm/solver/SymbolicEliminationLinearEquationSolver.h
View File

@ -16,6 +16,8 @@ namespace storm {
public: public:
SymbolicEliminationLinearEquationSolver(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs); SymbolicEliminationLinearEquationSolver(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs);
SymbolicEliminationLinearEquationSolver(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs);
virtual storm::dd::Add<DdType, ValueType> solveEquations(storm::dd::Add<DdType, ValueType> const& x, storm::dd::Add<DdType, ValueType> const& b) const override; virtual storm::dd::Add<DdType, ValueType> solveEquations(storm::dd::Add<DdType, ValueType> const& x, storm::dd::Add<DdType, ValueType> const& b) const override;
private: private:
@ -34,7 +36,9 @@ namespace storm {
template<storm::dd::DdType DdType, typename ValueType> template<storm::dd::DdType DdType, typename ValueType>
class SymbolicEliminationLinearEquationSolverFactory : public SymbolicLinearEquationSolverFactory<DdType, ValueType> { class SymbolicEliminationLinearEquationSolverFactory : public SymbolicLinearEquationSolverFactory<DdType, ValueType> {
public: public:
virtual std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> create(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const;
using SymbolicLinearEquationSolverFactory<DdType, ValueType>::create;
virtual std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> create(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const override;
SymbolicEliminationLinearEquationSolverSettings<ValueType>& getSettings(); SymbolicEliminationLinearEquationSolverSettings<ValueType>& getSettings();
SymbolicEliminationLinearEquationSolverSettings<ValueType> const& getSettings() const; SymbolicEliminationLinearEquationSolverSettings<ValueType> const& getSettings() const;

41
src/storm/solver/SymbolicLinearEquationSolver.cpp
View File

@ -20,7 +20,12 @@ namespace storm {
namespace solver { namespace solver {
template<storm::dd::DdType DdType, typename ValueType> template<storm::dd::DdType DdType, typename ValueType>
SymbolicLinearEquationSolver<DdType, ValueType>::SymbolicLinearEquationSolver(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) : A(A), allRows(allRows), rowMetaVariables(rowMetaVariables), columnMetaVariables(columnMetaVariables), rowColumnMetaVariablePairs(rowColumnMetaVariablePairs) {
SymbolicLinearEquationSolver<DdType, ValueType>::SymbolicLinearEquationSolver(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) : SymbolicLinearEquationSolver(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs) {
this->setMatrix(A);
}
template<storm::dd::DdType DdType, typename ValueType>
SymbolicLinearEquationSolver<DdType, ValueType>::SymbolicLinearEquationSolver(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) : allRows(allRows), rowMetaVariables(rowMetaVariables), columnMetaVariables(columnMetaVariables), rowColumnMetaVariablePairs(rowColumnMetaVariablePairs) {
// Intentionally left empty. // Intentionally left empty.
} }
@ -46,21 +51,33 @@ namespace storm {
} }
template<storm::dd::DdType DdType, typename ValueType> template<storm::dd::DdType DdType, typename ValueType>
std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> GeneralSymbolicLinearEquationSolverFactory<DdType, ValueType>::create(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const {
storm::dd::DdManager<DdType>& SymbolicLinearEquationSolver<DdType, ValueType>::getDdManager() const {
return this->allRows.getDdManager();
}
template<storm::dd::DdType DdType, typename ValueType>
std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> SymbolicLinearEquationSolverFactory<DdType, ValueType>::create(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const {
std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> solver = this->create(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
solver->setMatrix(A);
return solver;
}
template<storm::dd::DdType DdType, typename ValueType>
std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> GeneralSymbolicLinearEquationSolverFactory<DdType, ValueType>::create(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const {
storm::solver::EquationSolverType equationSolver = storm::settings::getModule<storm::settings::modules::CoreSettings>().getEquationSolver(); storm::solver::EquationSolverType equationSolver = storm::settings::getModule<storm::settings::modules::CoreSettings>().getEquationSolver();
switch (equationSolver) { switch (equationSolver) {
case storm::solver::EquationSolverType::Elimination: return std::make_unique<storm::solver::SymbolicEliminationLinearEquationSolver<DdType, ValueType>>(A, allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
case storm::solver::EquationSolverType::Elimination: return std::make_unique<storm::solver::SymbolicEliminationLinearEquationSolver<DdType, ValueType>>(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
break; break;
case storm::solver::EquationSolverType::Native: return std::make_unique<storm::solver::SymbolicNativeLinearEquationSolver<DdType, ValueType>>(A, allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
case storm::solver::EquationSolverType::Native: return std::make_unique<storm::solver::SymbolicNativeLinearEquationSolver<DdType, ValueType>>(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
break; break;
default: default:
STORM_LOG_WARN("The selected equation solver is not available in the dd engine. Falling back to native solver."); STORM_LOG_WARN("The selected equation solver is not available in the dd engine. Falling back to native solver.");
return std::make_unique<storm::solver::SymbolicNativeLinearEquationSolver<DdType, ValueType>>(A, allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
return std::make_unique<storm::solver::SymbolicNativeLinearEquationSolver<DdType, ValueType>>(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
} }
} }
template<storm::dd::DdType DdType> template<storm::dd::DdType DdType>
std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, storm::RationalNumber>> GeneralSymbolicLinearEquationSolverFactory<DdType, storm::RationalNumber>::create(storm::dd::Add<DdType, storm::RationalNumber> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const {
std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, storm::RationalNumber>> GeneralSymbolicLinearEquationSolverFactory<DdType, storm::RationalNumber>::create(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const {
auto const& coreSettings = storm::settings::getModule<storm::settings::modules::CoreSettings>(); auto const& coreSettings = storm::settings::getModule<storm::settings::modules::CoreSettings>();
storm::solver::EquationSolverType equationSolver = coreSettings.getEquationSolver(); storm::solver::EquationSolverType equationSolver = coreSettings.getEquationSolver();
@ -74,27 +91,27 @@ namespace storm {
} }
switch (equationSolver) { switch (equationSolver) {
case storm::solver::EquationSolverType::Elimination: return std::make_unique<storm::solver::SymbolicEliminationLinearEquationSolver<DdType, storm::RationalNumber>>(A, allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
case storm::solver::EquationSolverType::Elimination: return std::make_unique<storm::solver::SymbolicEliminationLinearEquationSolver<DdType, storm::RationalNumber>>(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
break; break;
case storm::solver::EquationSolverType::Native: case storm::solver::EquationSolverType::Native:
return std::make_unique<storm::solver::SymbolicNativeLinearEquationSolver<DdType, storm::RationalNumber>>(A, allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
return std::make_unique<storm::solver::SymbolicNativeLinearEquationSolver<DdType, storm::RationalNumber>>(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
break; break;
default: default:
STORM_LOG_WARN("The selected equation solver is not available in the dd engine. Falling back to elimination solver."); STORM_LOG_WARN("The selected equation solver is not available in the dd engine. Falling back to elimination solver.");
return std::make_unique<storm::solver::SymbolicEliminationLinearEquationSolver<DdType, storm::RationalNumber>>(A, allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
return std::make_unique<storm::solver::SymbolicEliminationLinearEquationSolver<DdType, storm::RationalNumber>>(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
} }
} }
template<storm::dd::DdType DdType> template<storm::dd::DdType DdType>
std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, storm::RationalFunction>> GeneralSymbolicLinearEquationSolverFactory<DdType, storm::RationalFunction>::create(storm::dd::Add<DdType, storm::RationalFunction> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const {
std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, storm::RationalFunction>> GeneralSymbolicLinearEquationSolverFactory<DdType, storm::RationalFunction>::create(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const {
storm::solver::EquationSolverType equationSolver = storm::settings::getModule<storm::settings::modules::CoreSettings>().getEquationSolver(); storm::solver::EquationSolverType equationSolver = storm::settings::getModule<storm::settings::modules::CoreSettings>().getEquationSolver();
switch (equationSolver) { switch (equationSolver) {
case storm::solver::EquationSolverType::Elimination: return std::make_unique<storm::solver::SymbolicEliminationLinearEquationSolver<DdType, storm::RationalFunction>>(A, allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
case storm::solver::EquationSolverType::Elimination: return std::make_unique<storm::solver::SymbolicEliminationLinearEquationSolver<DdType, storm::RationalFunction>>(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
break; break;
default: default:
STORM_LOG_WARN("The selected equation solver is not available in the DD setting. Falling back to elimination solver."); STORM_LOG_WARN("The selected equation solver is not available in the DD setting. Falling back to elimination solver.");
return std::make_unique<storm::solver::SymbolicEliminationLinearEquationSolver<DdType, storm::RationalFunction>>(A, allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
return std::make_unique<storm::solver::SymbolicEliminationLinearEquationSolver<DdType, storm::RationalFunction>>(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs);
} }
} }

32
src/storm/solver/SymbolicLinearEquationSolver.h
View File

@ -5,6 +5,7 @@
#include <vector> #include <vector>
#include "storm/storage/expressions/Variable.h" #include "storm/storage/expressions/Variable.h"
#include "storm/storage/dd/DdManager.h"
#include "storm/storage/dd/DdType.h" #include "storm/storage/dd/DdType.h"
#include "storm/adapters/RationalFunctionAdapter.h" #include "storm/adapters/RationalFunctionAdapter.h"
@ -47,6 +48,19 @@ namespace storm {
*/ */
SymbolicLinearEquationSolver(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs); SymbolicLinearEquationSolver(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs);
/*!
* Constructs a symbolic linear equation solver with the given meta variable sets and pairs. Note that in
* this version, the coefficient matrix has to be set manually afterwards.
*
* @param diagonal An ADD characterizing the elements on the diagonal of the matrix.
* @param allRows A BDD characterizing all rows of the equation system.
* @param rowMetaVariables The meta variables used to encode the rows of the matrix.
* @param columnMetaVariables The meta variables used to encode the columns of the matrix.
* @param rowColumnMetaVariablePairs The pairs of row meta variables and the corresponding column meta
* variables.
*/
SymbolicLinearEquationSolver(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs);
/*! /*!
* Solves the equation system A*x = b. The matrix A is required to be square and have a unique solution. * Solves the equation system A*x = b. The matrix A is required to be square and have a unique solution.
* The solution of the set of linear equations will be written to the vector x. Note that the matrix A has * The solution of the set of linear equations will be written to the vector x. Note that the matrix A has
@ -74,6 +88,8 @@ namespace storm {
void setMatrix(storm::dd::Add<DdType, ValueType> const& newA); void setMatrix(storm::dd::Add<DdType, ValueType> const& newA);
protected: protected:
storm::dd::DdManager<DdType>& getDdManager() const;
// The matrix defining the coefficients of the linear equation system. // The matrix defining the coefficients of the linear equation system.
storm::dd::Add<DdType, ValueType> A; storm::dd::Add<DdType, ValueType> A;
@ -93,25 +109,33 @@ namespace storm {
template<storm::dd::DdType DdType, typename ValueType> template<storm::dd::DdType DdType, typename ValueType>
class SymbolicLinearEquationSolverFactory { class SymbolicLinearEquationSolverFactory {
public: public:
virtual std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> create(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const = 0;
virtual std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> create(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const = 0;
std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> create(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const;
}; };
template<storm::dd::DdType DdType, typename ValueType> template<storm::dd::DdType DdType, typename ValueType>
class GeneralSymbolicLinearEquationSolverFactory : public SymbolicLinearEquationSolverFactory<DdType, ValueType> { class GeneralSymbolicLinearEquationSolverFactory : public SymbolicLinearEquationSolverFactory<DdType, ValueType> {
public: public:
virtual std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> create(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const;
using SymbolicLinearEquationSolverFactory<DdType, ValueType>::create;
virtual std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> create(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const;
}; };
template<storm::dd::DdType DdType> template<storm::dd::DdType DdType>
class GeneralSymbolicLinearEquationSolverFactory<DdType, storm::RationalNumber> : public SymbolicLinearEquationSolverFactory<DdType, storm::RationalNumber> { class GeneralSymbolicLinearEquationSolverFactory<DdType, storm::RationalNumber> : public SymbolicLinearEquationSolverFactory<DdType, storm::RationalNumber> {
public: public:
virtual std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, storm::RationalNumber>> create(storm::dd::Add<DdType, storm::RationalNumber> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const;
using SymbolicLinearEquationSolverFactory<DdType, storm::RationalNumber>::create;
virtual std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, storm::RationalNumber>> create(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const;
}; };
template<storm::dd::DdType DdType> template<storm::dd::DdType DdType>
class GeneralSymbolicLinearEquationSolverFactory<DdType, storm::RationalFunction> : public SymbolicLinearEquationSolverFactory<DdType, storm::RationalFunction> { class GeneralSymbolicLinearEquationSolverFactory<DdType, storm::RationalFunction> : public SymbolicLinearEquationSolverFactory<DdType, storm::RationalFunction> {
public: public:
virtual std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, storm::RationalFunction>> create(storm::dd::Add<DdType, storm::RationalFunction> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const;
using SymbolicLinearEquationSolverFactory<DdType, storm::RationalFunction>::create;
virtual std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, storm::RationalFunction>> create(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const;
}; };
} // namespace solver } // namespace solver

41
src/storm/solver/SymbolicMinMaxLinearEquationSolver.cpp
View File

@ -107,6 +107,11 @@ namespace storm {
uint_fast64_t iterations = 0; uint_fast64_t iterations = 0;
bool converged = false; bool converged = false;
// If we were given an initial scheduler, we take its solution as the starting point.
if (this->hasInitialScheduler()) {
xCopy = solveEquationsWithScheduler(this->getInitialScheduler(), xCopy, b);
}
while (!converged && iterations < this->settings.getMaximalNumberOfIterations()) { while (!converged && iterations < this->settings.getMaximalNumberOfIterations()) {
// Compute tmp = A * x + b // Compute tmp = A * x + b
storm::dd::Add<DdType, ValueType> xCopyAsColumn = xCopy.swapVariables(this->rowColumnMetaVariablePairs); storm::dd::Add<DdType, ValueType> xCopyAsColumn = xCopy.swapVariables(this->rowColumnMetaVariablePairs);
@ -137,6 +142,30 @@ namespace storm {
return xCopy; return xCopy;
} }
template<storm::dd::DdType DdType, typename ValueType>
storm::dd::Add<DdType, ValueType> SymbolicMinMaxLinearEquationSolver<DdType, ValueType>::solveEquationsWithScheduler(storm::dd::Bdd<DdType> const& scheduler, storm::dd::Add<DdType, ValueType> const& x, storm::dd::Add<DdType, ValueType> const& b) const {
std::unique_ptr<SymbolicLinearEquationSolver<DdType, ValueType>> solver = linearEquationSolverFactory->create(this->allRows, this->rowMetaVariables, this->columnMetaVariables, this->rowColumnMetaVariablePairs);
storm::dd::Add<DdType, ValueType> diagonal = (storm::utility::dd::getRowColumnDiagonal<DdType>(x.getDdManager(), this->rowColumnMetaVariablePairs) && this->allRows).template toAdd<ValueType>();
return solveEquationsWithScheduler(*solver, scheduler, x, b, diagonal);
}
template<storm::dd::DdType DdType, typename ValueType>
storm::dd::Add<DdType, ValueType> SymbolicMinMaxLinearEquationSolver<DdType, ValueType>::solveEquationsWithScheduler(SymbolicLinearEquationSolver<DdType, ValueType>& solver, storm::dd::Bdd<DdType> const& scheduler, storm::dd::Add<DdType, ValueType> const& x, storm::dd::Add<DdType, ValueType> const& b, storm::dd::Add<DdType, ValueType> const& diagonal) const {
// Apply scheduler to the matrix and vector.
storm::dd::Add<DdType, ValueType> schedulerA = diagonal - scheduler.ite(this->A, scheduler.getDdManager().template getAddZero<ValueType>()).sumAbstract(this->choiceVariables);
storm::dd::Add<DdType, ValueType> schedulerB = scheduler.ite(b, scheduler.getDdManager().template getAddZero<ValueType>()).sumAbstract(this->choiceVariables);
// Set the matrix for the solver.
solver.setMatrix(schedulerA);
// Solve for the value of the scheduler.
storm::dd::Add<DdType, ValueType> schedulerX = solver.solveEquations(x, schedulerB);
return schedulerX;
}
template<storm::dd::DdType DdType, typename ValueType> template<storm::dd::DdType DdType, typename ValueType>
storm::dd::Add<DdType, ValueType> SymbolicMinMaxLinearEquationSolver<DdType, ValueType>::solveEquationsPolicyIteration(storm::solver::OptimizationDirection const& dir, storm::dd::Add<DdType, ValueType> const& x, storm::dd::Add<DdType, ValueType> const& b) const { storm::dd::Add<DdType, ValueType> SymbolicMinMaxLinearEquationSolver<DdType, ValueType>::solveEquationsPolicyIteration(storm::solver::OptimizationDirection const& dir, storm::dd::Add<DdType, ValueType> const& x, storm::dd::Add<DdType, ValueType> const& b) const {
// Set up the environment. // Set up the environment.
@ -148,17 +177,12 @@ namespace storm {
// Choose initial scheduler. // Choose initial scheduler.
storm::dd::Bdd<DdType> scheduler = this->hasInitialScheduler() ? this->getInitialScheduler() : this->A.sumAbstract(this->columnMetaVariables).maxAbstractRepresentative(this->choiceVariables); storm::dd::Bdd<DdType> scheduler = this->hasInitialScheduler() ? this->getInitialScheduler() : this->A.sumAbstract(this->columnMetaVariables).maxAbstractRepresentative(this->choiceVariables);
// And apply it to the matrix and vector.
storm::dd::Add<DdType, ValueType> schedulerA = diagonal - scheduler.ite(this->A, scheduler.getDdManager().template getAddZero<ValueType>()).sumAbstract(this->choiceVariables);
storm::dd::Add<DdType, ValueType> schedulerB = scheduler.ite(b, scheduler.getDdManager().template getAddZero<ValueType>()).sumAbstract(this->choiceVariables);
// Initialize linear equation solver. // Initialize linear equation solver.
std::unique_ptr<SymbolicLinearEquationSolver<DdType, ValueType>> linearEquationSolver = linearEquationSolverFactory->create(schedulerA, this->allRows, this->rowMetaVariables, this->columnMetaVariables, this->rowColumnMetaVariablePairs);
std::unique_ptr<SymbolicLinearEquationSolver<DdType, ValueType>> linearEquationSolver = linearEquationSolverFactory->create(this->allRows, this->rowMetaVariables, this->columnMetaVariables, this->rowColumnMetaVariablePairs);
// Iteratively solve and improve the scheduler. // Iteratively solve and improve the scheduler.
while (!converged && iterations < this->settings.getMaximalNumberOfIterations()) { while (!converged && iterations < this->settings.getMaximalNumberOfIterations()) {
// Solve for the value of the scheduler.
storm::dd::Add<DdType, ValueType> schedulerX = linearEquationSolver->solveEquations(currentSolution, schedulerB);
storm::dd::Add<DdType, ValueType> schedulerX = solveEquationsWithScheduler(*linearEquationSolver, scheduler, currentSolution, b, diagonal);
// Policy improvement step. // Policy improvement step.
storm::dd::Add<DdType, ValueType> choiceValues = this->A.multiplyMatrix(schedulerX.swapVariables(this->rowColumnMetaVariablePairs), this->columnMetaVariables) + b; storm::dd::Add<DdType, ValueType> choiceValues = this->A.multiplyMatrix(schedulerX.swapVariables(this->rowColumnMetaVariablePairs), this->columnMetaVariables) + b;
@ -177,9 +201,6 @@ namespace storm {
// Set up next iteration. // Set up next iteration.
if (!converged) { if (!converged) {
scheduler = nextScheduler; scheduler = nextScheduler;
schedulerA = diagonal - scheduler.ite(this->A, scheduler.getDdManager().template getAddZero<ValueType>()).sumAbstract(this->choiceVariables);
linearEquationSolver->setMatrix(schedulerA);
schedulerB = scheduler.ite(b, scheduler.getDdManager().template getAddZero<ValueType>()).sumAbstract(this->choiceVariables);
} }
currentSolution = schedulerX; currentSolution = schedulerX;

3
src/storm/solver/SymbolicMinMaxLinearEquationSolver.h
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@ -139,6 +139,9 @@ namespace storm {
bool isRequirementsCheckedSet() const; bool isRequirementsCheckedSet() const;
private: private:
storm::dd::Add<DdType, ValueType> solveEquationsWithScheduler(storm::dd::Bdd<DdType> const& scheduler, storm::dd::Add<DdType, ValueType> const& x, storm::dd::Add<DdType, ValueType> const& b) const;
storm::dd::Add<DdType, ValueType> solveEquationsWithScheduler(SymbolicLinearEquationSolver<DdType, ValueType>& solver, storm::dd::Bdd<DdType> const& scheduler, storm::dd::Add<DdType, ValueType> const& x, storm::dd::Add<DdType, ValueType> const& b, storm::dd::Add<DdType, ValueType> const& diagonal) const;
storm::dd::Add<DdType, ValueType> solveEquationsValueIteration(storm::solver::OptimizationDirection const& dir, storm::dd::Add<DdType, ValueType> const& x, storm::dd::Add<DdType, ValueType> const& b) const; storm::dd::Add<DdType, ValueType> solveEquationsValueIteration(storm::solver::OptimizationDirection const& dir, storm::dd::Add<DdType, ValueType> const& x, storm::dd::Add<DdType, ValueType> const& b) const;
storm::dd::Add<DdType, ValueType> solveEquationsPolicyIteration(storm::solver::OptimizationDirection const& dir, storm::dd::Add<DdType, ValueType> const& x, storm::dd::Add<DdType, ValueType> const& b) const; storm::dd::Add<DdType, ValueType> solveEquationsPolicyIteration(storm::solver::OptimizationDirection const& dir, storm::dd::Add<DdType, ValueType> const& x, storm::dd::Add<DdType, ValueType> const& b) const;

13
src/storm/solver/SymbolicNativeLinearEquationSolver.cpp
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@ -54,13 +54,18 @@ namespace storm {
} }
template<storm::dd::DdType DdType, typename ValueType> template<storm::dd::DdType DdType, typename ValueType>
SymbolicNativeLinearEquationSolver<DdType, ValueType>::SymbolicNativeLinearEquationSolver(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs, SymbolicNativeLinearEquationSolverSettings<ValueType> const& settings) : SymbolicLinearEquationSolver<DdType, ValueType>(A, allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs), settings(settings) {
SymbolicNativeLinearEquationSolver<DdType, ValueType>::SymbolicNativeLinearEquationSolver(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs, SymbolicNativeLinearEquationSolverSettings<ValueType> const& settings) : SymbolicNativeLinearEquationSolver(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs, settings) {
this->setMatrix(A);
}
template<storm::dd::DdType DdType, typename ValueType>
SymbolicNativeLinearEquationSolver<DdType, ValueType>::SymbolicNativeLinearEquationSolver(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs, SymbolicNativeLinearEquationSolverSettings<ValueType> const& settings) : SymbolicLinearEquationSolver<DdType, ValueType>(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs), settings(settings) {
// Intentionally left empty. // Intentionally left empty.
} }
template<storm::dd::DdType DdType, typename ValueType> template<storm::dd::DdType DdType, typename ValueType>
storm::dd::Add<DdType, ValueType> SymbolicNativeLinearEquationSolver<DdType, ValueType>::solveEquations(storm::dd::Add<DdType, ValueType> const& x, storm::dd::Add<DdType, ValueType> const& b) const { storm::dd::Add<DdType, ValueType> SymbolicNativeLinearEquationSolver<DdType, ValueType>::solveEquations(storm::dd::Add<DdType, ValueType> const& x, storm::dd::Add<DdType, ValueType> const& b) const {
storm::dd::DdManager<DdType>& manager = this->A.getDdManager();
storm::dd::DdManager<DdType>& manager = this->getDdManager();
// Start by computing the Jacobi decomposition of the matrix A. // Start by computing the Jacobi decomposition of the matrix A.
storm::dd::Bdd<DdType> diagonal = storm::utility::dd::getRowColumnDiagonal(x.getDdManager(), this->rowColumnMetaVariablePairs); storm::dd::Bdd<DdType> diagonal = storm::utility::dd::getRowColumnDiagonal(x.getDdManager(), this->rowColumnMetaVariablePairs);
@ -106,8 +111,8 @@ namespace storm {
} }
template<storm::dd::DdType DdType, typename ValueType> template<storm::dd::DdType DdType, typename ValueType>
std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> SymbolicNativeLinearEquationSolverFactory<DdType, ValueType>::create(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const {
return std::make_unique<SymbolicNativeLinearEquationSolver<DdType, ValueType>>(A, allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs, settings);
std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> SymbolicNativeLinearEquationSolverFactory<DdType, ValueType>::create(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const {
return std::make_unique<SymbolicNativeLinearEquationSolver<DdType, ValueType>>(allRows, rowMetaVariables, columnMetaVariables, rowColumnMetaVariablePairs, settings);
} }
template<storm::dd::DdType DdType, typename ValueType> template<storm::dd::DdType DdType, typename ValueType>

19
src/storm/solver/SymbolicNativeLinearEquationSolver.h
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@ -51,6 +51,19 @@ namespace storm {
*/ */
SymbolicNativeLinearEquationSolver(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs, SymbolicNativeLinearEquationSolverSettings<ValueType> const& settings = SymbolicNativeLinearEquationSolverSettings<ValueType>()); SymbolicNativeLinearEquationSolver(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs, SymbolicNativeLinearEquationSolverSettings<ValueType> const& settings = SymbolicNativeLinearEquationSolverSettings<ValueType>());
/*!
* Constructs a symbolic linear equation solver with the given meta variable sets and pairs.
*
* @param diagonal An ADD characterizing the elements on the diagonal of the matrix.
* @param allRows A BDD characterizing all rows of the equation system.
* @param rowMetaVariables The meta variables used to encode the rows of the matrix.
* @param columnMetaVariables The meta variables used to encode the columns of the matrix.
* @param rowColumnMetaVariablePairs The pairs of row meta variables and the corresponding column meta
* variables.
* @param settings The settings to use.
*/
SymbolicNativeLinearEquationSolver(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs, SymbolicNativeLinearEquationSolverSettings<ValueType> const& settings = SymbolicNativeLinearEquationSolverSettings<ValueType>());
/*! /*!
* Solves the equation system A*x = b. The matrix A is required to be square and have a unique solution. * Solves the equation system A*x = b. The matrix A is required to be square and have a unique solution.
* The solution of the set of linear equations will be written to the vector x. Note that the matrix A has * The solution of the set of linear equations will be written to the vector x. Note that the matrix A has
@ -70,9 +83,11 @@ namespace storm {
}; };
template<storm::dd::DdType DdType, typename ValueType> template<storm::dd::DdType DdType, typename ValueType>
class SymbolicNativeLinearEquationSolverFactory {
class SymbolicNativeLinearEquationSolverFactory : SymbolicLinearEquationSolverFactory<DdType, ValueType> {
public: public:
virtual std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> create(storm::dd::Add<DdType, ValueType> const& A, storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const;
using SymbolicLinearEquationSolverFactory<DdType, ValueType>::create;
virtual std::unique_ptr<storm::solver::SymbolicLinearEquationSolver<DdType, ValueType>> create(storm::dd::Bdd<DdType> const& allRows, std::set<storm::expressions::Variable> const& rowMetaVariables, std::set<storm::expressions::Variable> const& columnMetaVariables, std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs) const override;
SymbolicNativeLinearEquationSolverSettings<ValueType>& getSettings(); SymbolicNativeLinearEquationSolverSettings<ValueType>& getSettings();
SymbolicNativeLinearEquationSolverSettings<ValueType> const& getSettings() const; SymbolicNativeLinearEquationSolverSettings<ValueType> const& getSettings() const;

45
src/storm/utility/graph.cpp
View File

@ -896,7 +896,7 @@ namespace storm {
uint_fast64_t iterations = 0; uint_fast64_t iterations = 0;
while (!frontier.isZero()) { while (!frontier.isZero()) {
storm::dd::Bdd<Type> statesAndChoicesWithProbabilityGreater0E = statesWithProbabilityGreater0E.inverseRelationalProduct(transitionMatrix, model.getRowVariables(), model.getColumnVariables());
storm::dd::Bdd<Type> statesAndChoicesWithProbabilityGreater0E = statesWithProbabilityGreater0E.inverseRelationalProductWithExtendedRelation(transitionMatrix, model.getRowVariables(), model.getColumnVariables());
frontier = phiStates && statesAndChoicesWithProbabilityGreater0E.existsAbstract(model.getNondeterminismVariables()) && !statesWithProbabilityGreater0E; frontier = phiStates && statesAndChoicesWithProbabilityGreater0E.existsAbstract(model.getNondeterminismVariables()) && !statesWithProbabilityGreater0E;
scheduler = scheduler || (frontier && statesAndChoicesWithProbabilityGreater0E).existsAbstractRepresentative(model.getNondeterminismVariables()); scheduler = scheduler || (frontier && statesAndChoicesWithProbabilityGreater0E).existsAbstractRepresentative(model.getNondeterminismVariables());
statesWithProbabilityGreater0E |= frontier; statesWithProbabilityGreater0E |= frontier;
@ -1019,6 +1019,41 @@ namespace storm {
return statesWithProbability1E; return statesWithProbability1E;
} }
template <storm::dd::DdType Type, typename ValueType>
storm::dd::Bdd<Type> computeSchedulerProb1E(storm::models::symbolic::NondeterministicModel<Type, ValueType> const& model, storm::dd::Bdd<Type> const& transitionMatrix, storm::dd::Bdd<Type> const& phiStates, storm::dd::Bdd<Type> const& psiStates, storm::dd::Bdd<Type> const& statesWithProbability1E) {
// Initialize environment for backward search.
storm::dd::DdManager<Type> const& manager = model.getManager();
storm::dd::Bdd<Type> scheduler = manager.getBddZero();
storm::dd::Bdd<Type> innerStates = manager.getBddZero();
uint64_t iterations = 0;
bool innerLoopDone = false;
while (!innerLoopDone) {
storm::dd::Bdd<Type> temporary = statesWithProbability1E.swapVariables(model.getRowColumnMetaVariablePairs());
temporary = transitionMatrix.implies(temporary).universalAbstract(model.getColumnVariables());
storm::dd::Bdd<Type> temporary2 = innerStates.inverseRelationalProductWithExtendedRelation(transitionMatrix, model.getRowVariables(), model.getColumnVariables());
temporary &= temporary2;
temporary &= phiStates;
// Extend the scheduler for those states that have not been seen as inner states before.
scheduler |= (temporary && !innerStates).existsAbstractRepresentative(model.getNondeterminismVariables());
temporary = temporary.existsAbstract(model.getNondeterminismVariables());
temporary |= psiStates;
if (innerStates == temporary) {
innerLoopDone = true;
} else {
innerStates = temporary;
}
++iterations;
}
return scheduler;
}
template <storm::dd::DdType Type, typename ValueType> template <storm::dd::DdType Type, typename ValueType>
std::pair<storm::dd::Bdd<Type>, storm::dd::Bdd<Type>> performProb01Max(storm::models::symbolic::NondeterministicModel<Type, ValueType> const& model, storm::dd::Bdd<Type> const& phiStates, storm::dd::Bdd<Type> const& psiStates) { std::pair<storm::dd::Bdd<Type>, storm::dd::Bdd<Type>> performProb01Max(storm::models::symbolic::NondeterministicModel<Type, ValueType> const& model, storm::dd::Bdd<Type> const& phiStates, storm::dd::Bdd<Type> const& psiStates) {
std::pair<storm::dd::Bdd<Type>, storm::dd::Bdd<Type>> result; std::pair<storm::dd::Bdd<Type>, storm::dd::Bdd<Type>> result;
@ -1512,6 +1547,8 @@ namespace storm {
template storm::dd::Bdd<storm::dd::DdType::CUDD> performProb1E(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::CUDD, double> const& model, storm::dd::Bdd<storm::dd::DdType::CUDD> const& transitionMatrix, storm::dd::Bdd<storm::dd::DdType::CUDD> const& phiStates, storm::dd::Bdd<storm::dd::DdType::CUDD> const& psiStates, storm::dd::Bdd<storm::dd::DdType::CUDD> const& statesWithProbabilityGreater0E); template storm::dd::Bdd<storm::dd::DdType::CUDD> performProb1E(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::CUDD, double> const& model, storm::dd::Bdd<storm::dd::DdType::CUDD> const& transitionMatrix, storm::dd::Bdd<storm::dd::DdType::CUDD> const& phiStates, storm::dd::Bdd<storm::dd::DdType::CUDD> const& psiStates, storm::dd::Bdd<storm::dd::DdType::CUDD> const& statesWithProbabilityGreater0E);
template storm::dd::Bdd<storm::dd::DdType::CUDD> computeSchedulerProb1E(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::CUDD, double> const& model, storm::dd::Bdd<storm::dd::DdType::CUDD> const& transitionMatrix, storm::dd::Bdd<storm::dd::DdType::CUDD> const& phiStates, storm::dd::Bdd<storm::dd::DdType::CUDD> const& psiStates, storm::dd::Bdd<storm::dd::DdType::CUDD> const& statesWithProbability1E);
template std::pair<storm::dd::Bdd<storm::dd::DdType::CUDD>, storm::dd::Bdd<storm::dd::DdType::CUDD>> performProb01Max(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::CUDD, double> const& model, storm::dd::Bdd<storm::dd::DdType::CUDD> const& phiStates, storm::dd::Bdd<storm::dd::DdType::CUDD> const& psiStates); template std::pair<storm::dd::Bdd<storm::dd::DdType::CUDD>, storm::dd::Bdd<storm::dd::DdType::CUDD>> performProb01Max(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::CUDD, double> const& model, storm::dd::Bdd<storm::dd::DdType::CUDD> const& phiStates, storm::dd::Bdd<storm::dd::DdType::CUDD> const& psiStates);
template std::pair<storm::dd::Bdd<storm::dd::DdType::CUDD>, storm::dd::Bdd<storm::dd::DdType::CUDD>> performProb01Min(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::CUDD, double> const& model, storm::dd::Bdd<storm::dd::DdType::CUDD> const& phiStates, storm::dd::Bdd<storm::dd::DdType::CUDD> const& psiStates); template std::pair<storm::dd::Bdd<storm::dd::DdType::CUDD>, storm::dd::Bdd<storm::dd::DdType::CUDD>> performProb01Min(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::CUDD, double> const& model, storm::dd::Bdd<storm::dd::DdType::CUDD> const& phiStates, storm::dd::Bdd<storm::dd::DdType::CUDD> const& psiStates);
@ -1546,6 +1583,8 @@ namespace storm {
template storm::dd::Bdd<storm::dd::DdType::Sylvan> performProb1E(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, double> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& transitionMatrix, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& statesWithProbabilityGreater0E); template storm::dd::Bdd<storm::dd::DdType::Sylvan> performProb1E(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, double> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& transitionMatrix, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& statesWithProbabilityGreater0E);
template storm::dd::Bdd<storm::dd::DdType::Sylvan> computeSchedulerProb1E(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, double> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& transitionMatrix, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& statesWithProbability1E);
template std::pair<storm::dd::Bdd<storm::dd::DdType::Sylvan>, storm::dd::Bdd<storm::dd::DdType::Sylvan>> performProb01Max(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, double> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates); template std::pair<storm::dd::Bdd<storm::dd::DdType::Sylvan>, storm::dd::Bdd<storm::dd::DdType::Sylvan>> performProb01Max(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, double> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates);
template std::pair<storm::dd::Bdd<storm::dd::DdType::Sylvan>, storm::dd::Bdd<storm::dd::DdType::Sylvan>> performProb01Min(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, double> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates); template std::pair<storm::dd::Bdd<storm::dd::DdType::Sylvan>, storm::dd::Bdd<storm::dd::DdType::Sylvan>> performProb01Min(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, double> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates);
@ -1580,6 +1619,8 @@ namespace storm {
template storm::dd::Bdd<storm::dd::DdType::Sylvan> performProb1E(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, storm::RationalNumber> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& transitionMatrix, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& statesWithProbabilityGreater0E); template storm::dd::Bdd<storm::dd::DdType::Sylvan> performProb1E(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, storm::RationalNumber> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& transitionMatrix, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& statesWithProbabilityGreater0E);
template storm::dd::Bdd<storm::dd::DdType::Sylvan> computeSchedulerProb1E(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, storm::RationalNumber> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& transitionMatrix, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& statesWithProbability1E);
template std::pair<storm::dd::Bdd<storm::dd::DdType::Sylvan>, storm::dd::Bdd<storm::dd::DdType::Sylvan>> performProb01Max(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, storm::RationalNumber> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates); template std::pair<storm::dd::Bdd<storm::dd::DdType::Sylvan>, storm::dd::Bdd<storm::dd::DdType::Sylvan>> performProb01Max(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, storm::RationalNumber> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates);
template std::pair<storm::dd::Bdd<storm::dd::DdType::Sylvan>, storm::dd::Bdd<storm::dd::DdType::Sylvan>> performProb01Min(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, storm::RationalNumber> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates); template std::pair<storm::dd::Bdd<storm::dd::DdType::Sylvan>, storm::dd::Bdd<storm::dd::DdType::Sylvan>> performProb01Min(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, storm::RationalNumber> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates);
@ -1610,6 +1651,8 @@ namespace storm {
template storm::dd::Bdd<storm::dd::DdType::Sylvan> performProb1E(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, storm::RationalFunction> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& transitionMatrix, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& statesWithProbabilityGreater0E); template storm::dd::Bdd<storm::dd::DdType::Sylvan> performProb1E(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, storm::RationalFunction> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& transitionMatrix, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& statesWithProbabilityGreater0E);
template storm::dd::Bdd<storm::dd::DdType::Sylvan> computeSchedulerProb1E(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, storm::RationalFunction> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& transitionMatrix, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& statesWithProbability1E);
template std::pair<storm::dd::Bdd<storm::dd::DdType::Sylvan>, storm::dd::Bdd<storm::dd::DdType::Sylvan>> performProb01Max(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, storm::RationalFunction> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates); template std::pair<storm::dd::Bdd<storm::dd::DdType::Sylvan>, storm::dd::Bdd<storm::dd::DdType::Sylvan>> performProb01Max(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, storm::RationalFunction> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates);
template std::pair<storm::dd::Bdd<storm::dd::DdType::Sylvan>, storm::dd::Bdd<storm::dd::DdType::Sylvan>> performProb01Min(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, storm::RationalFunction> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates); template std::pair<storm::dd::Bdd<storm::dd::DdType::Sylvan>, storm::dd::Bdd<storm::dd::DdType::Sylvan>> performProb01Min(storm::models::symbolic::NondeterministicModel<storm::dd::DdType::Sylvan, storm::RationalFunction> const& model, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& phiStates, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& psiStates);

6
src/storm/utility/graph.h
View File

@ -521,6 +521,12 @@ namespace storm {
template <storm::dd::DdType Type, typename ValueType = double> template <storm::dd::DdType Type, typename ValueType = double>
storm::dd::Bdd<Type> performProb1E(storm::models::symbolic::NondeterministicModel<Type, ValueType> const& model, storm::dd::Bdd<Type> const& transitionMatrix, storm::dd::Bdd<Type> const& phiStates, storm::dd::Bdd<Type> const& psiStates, storm::dd::Bdd<Type> const& statesWithProbabilityGreater0E); storm::dd::Bdd<Type> performProb1E(storm::models::symbolic::NondeterministicModel<Type, ValueType> const& model, storm::dd::Bdd<Type> const& transitionMatrix, storm::dd::Bdd<Type> const& phiStates, storm::dd::Bdd<Type> const& psiStates, storm::dd::Bdd<Type> const& statesWithProbabilityGreater0E);
/*!
* Computes a scheduler satisfying phi until psi with probability 1.
*/
template <storm::dd::DdType Type, typename ValueType>
storm::dd::Bdd<Type> computeSchedulerProb1E(storm::models::symbolic::NondeterministicModel<Type, ValueType> const& model, storm::dd::Bdd<Type> const& transitionMatrix, storm::dd::Bdd<Type> const& phiStates, storm::dd::Bdd<Type> const& psiStates, storm::dd::Bdd<Type> const& statesWithProbability1E);
template <storm::dd::DdType Type, typename ValueType = double> template <storm::dd::DdType Type, typename ValueType = double>
std::pair<storm::dd::Bdd<Type>, storm::dd::Bdd<Type>> performProb01Max(storm::models::symbolic::NondeterministicModel<Type, ValueType> const& model, storm::dd::Bdd<Type> const& phiStates, storm::dd::Bdd<Type> const& psiStates); std::pair<storm::dd::Bdd<Type>, storm::dd::Bdd<Type>> performProb01Max(storm::models::symbolic::NondeterministicModel<Type, ValueType> const& model, storm::dd::Bdd<Type> const& phiStates, storm::dd::Bdd<Type> const& psiStates);

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