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#ifndef STORM_SOLVER_SYMBOLICGAMESOLVER_H_
#define STORM_SOLVER_SYMBOLICGAMESOLVER_H_
#include <set>
#include <vector>
#include "src/solver/AbstractGameSolver.h"
#include "src/solver/OptimizationDirection.h"
#include "src/storage/expressions/Variable.h"
#include "src/storage/dd/Bdd.h"
#include "src/storage/dd/Add.h"
namespace storm {
namespace solver {
/*!
* An interface that represents an abstract symbolic game solver.
*/
template<storm::dd::DdType Type>
class SymbolicGameSolver : public AbstractGameSolver {
public:
/*!
* Constructs a symbolic game solver with the given meta variable sets and pairs.
*
* @param gameMatrix The matrix defining the coefficients of the game.
* @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 player1Variables The meta variables used to encode the player 1 choices.
* @param player2Variables The meta variables used to encode the player 2 choices.
*/
SymbolicGameSolver(storm::dd::Add<Type> const& gameMatrix, storm::dd::Bdd<Type> 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, std::set<storm::expressions::Variable> const& player1Variables, std::set<storm::expressions::Variable> const& player2Variables);
/*!
* Constructs a symbolic game solver with the given meta variable sets and pairs.
*
* @param gameMatrix The matrix defining the coefficients of the game.
* @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 player1Variables The meta variables used to encode the player 1 choices.
* @param player2Variables The meta variables used to encode the player 2 choices.
* @param precision The precision to achieve.
* @param maximalNumberOfIterations The maximal number of iterations to perform when solving a linear
* equation system iteratively.
* @param relative Sets whether or not to use a relativ stopping criterion rather than an absolute one.
*/
SymbolicGameSolver(storm::dd::Add<Type> const& gameMatrix, storm::dd::Bdd<Type> 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, std::set<storm::expressions::Variable> const& player1Variables, std::set<storm::expressions::Variable> const& player2Variables, double precision, uint_fast64_t maximalNumberOfIterations, bool relative);
/*!
* Solves the equation system defined by the game matrix. Note that the game matrix has to be given upon
* construction time of the solver object.
*
* @param player1Goal Sets whether player 1 wants to minimize or maximize.
* @param player2Goal Sets whether player 2 wants to minimize or maximize.
* @param x The initial guess of the solution.
* @param b The vector to add after matrix-vector multiplication.
* @return The solution vector.
*/
virtual storm::dd::Add<Type> solveGame(OptimizationDirection player1Goal, OptimizationDirection player2Goal, storm::dd::Add<Type> const& x, storm::dd::Add<Type> const& b) const;
protected:
// The matrix defining the coefficients of the linear equation system.
storm::dd::Add<Type> const& gameMatrix;
// A BDD characterizing all rows of the equation system.
storm::dd::Bdd<Type> const& allRows;
// The row variables.
std::set<storm::expressions::Variable> const& rowMetaVariables;
// The column variables.
std::set<storm::expressions::Variable> const& columnMetaVariables;
// The pairs of meta variables used for renaming.
std::vector<std::pair<storm::expressions::Variable, storm::expressions::Variable>> const& rowColumnMetaVariablePairs;
// The player 1 variables.
std::set<storm::expressions::Variable> const& player1Variables;
// The player 2 variables.
std::set<storm::expressions::Variable> const& player2Variables;
};
} // namespace solver
} // namespace storm
#endif /* STORM_SOLVER_SYMBOLICGAMESOLVER_H_ */