|
@ -218,7 +218,7 @@ namespace storm { |
|
|
minPlayer1Strategy = (maxPlayer1Strategy && prob01.min.first.getPlayer2States()).existsAbstract(game.getPlayer1Variables()).ite(maxPlayer1Strategy, minPlayer1Strategy); |
|
|
minPlayer1Strategy = (maxPlayer1Strategy && prob01.min.first.getPlayer2States()).existsAbstract(game.getPlayer1Variables()).ite(maxPlayer1Strategy, minPlayer1Strategy); |
|
|
|
|
|
|
|
|
// Build the fragment of transitions that is reachable by both the min and the max strategies.
|
|
|
// Build the fragment of transitions that is reachable by both the min and the max strategies.
|
|
|
storm::dd::Bdd<Type> reachableTransitions = transitionMatrixBdd && minPlayer1Strategy && minPlayer2Strategy && maxPlayer1Strategy && maxPlayer2Strategy; |
|
|
|
|
|
|
|
|
storm::dd::Bdd<Type> reachableTransitions = transitionMatrixBdd && (minPlayer1Strategy || minPlayer2Strategy) && maxPlayer1Strategy && maxPlayer2Strategy; |
|
|
reachableTransitions = reachableTransitions.existsAbstract(game.getNondeterminismVariables()); |
|
|
reachableTransitions = reachableTransitions.existsAbstract(game.getNondeterminismVariables()); |
|
|
storm::dd::Bdd<Type> pivotStates = storm::utility::dd::computeReachableStates(game.getInitialStates(), reachableTransitions, game.getRowVariables(), game.getColumnVariables()); |
|
|
storm::dd::Bdd<Type> pivotStates = storm::utility::dd::computeReachableStates(game.getInitialStates(), reachableTransitions, game.getRowVariables(), game.getColumnVariables()); |
|
|
|
|
|
|
|
@ -526,12 +526,17 @@ namespace storm { |
|
|
storm::dd::Add<Type, ValueType> maxResult = prob01.max.second.getPlayer1States().template toAdd<ValueType>(); |
|
|
storm::dd::Add<Type, ValueType> maxResult = prob01.max.second.getPlayer1States().template toAdd<ValueType>(); |
|
|
storm::dd::Add<Type, ValueType> initialStatesAdd = game.getInitialStates().template toAdd<ValueType>(); |
|
|
storm::dd::Add<Type, ValueType> initialStatesAdd = game.getInitialStates().template toAdd<ValueType>(); |
|
|
|
|
|
|
|
|
|
|
|
storm::dd::Bdd<Type> combinedMinPlayer1QualitativeStrategies = (prob01.min.first.getPlayer1Strategy() || prob01.min.second.getPlayer1Strategy()); |
|
|
|
|
|
storm::dd::Bdd<Type> combinedMinPlayer2QualitativeStrategies = (prob01.min.first.getPlayer2Strategy() || prob01.min.second.getPlayer2Strategy()); |
|
|
|
|
|
|
|
|
// The minimal value after qualitative checking can only be zero. It it was 1, we could have given
|
|
|
// The minimal value after qualitative checking can only be zero. It it was 1, we could have given
|
|
|
// the result right away.
|
|
|
// the result right away.
|
|
|
ValueType minValue = storm::utility::zero<ValueType>(); |
|
|
ValueType minValue = storm::utility::zero<ValueType>(); |
|
|
MaybeStateResult<Type, ValueType> minMaybeStateResult(game.getManager().template getAddZero<ValueType>(), game.getManager().getBddZero(), game.getManager().getBddZero()); |
|
|
MaybeStateResult<Type, ValueType> minMaybeStateResult(game.getManager().template getAddZero<ValueType>(), game.getManager().getBddZero(), game.getManager().getBddZero()); |
|
|
if (!maybeMin.isZero()) { |
|
|
if (!maybeMin.isZero()) { |
|
|
minMaybeStateResult = solveMaybeStates(player1Direction, storm::OptimizationDirection::Minimize, game, maybeMin, prob01.min.second.getPlayer1States()); |
|
|
minMaybeStateResult = solveMaybeStates(player1Direction, storm::OptimizationDirection::Minimize, game, maybeMin, prob01.min.second.getPlayer1States()); |
|
|
|
|
|
minMaybeStateResult.player1Strategy &= game.getReachableStates(); |
|
|
|
|
|
minMaybeStateResult.player2Strategy &= game.getReachableStates(); |
|
|
minResult += minMaybeStateResult.values; |
|
|
minResult += minMaybeStateResult.values; |
|
|
storm::dd::Add<Type, ValueType> initialStateMin = initialStatesAdd * minResult; |
|
|
storm::dd::Add<Type, ValueType> initialStateMin = initialStatesAdd * minResult; |
|
|
// Here we can only require a non-zero count of *at most* one, because the result may actually be 0.
|
|
|
// Here we can only require a non-zero count of *at most* one, because the result may actually be 0.
|
|
@ -540,18 +545,27 @@ namespace storm { |
|
|
} |
|
|
} |
|
|
STORM_LOG_TRACE("Obtained quantitative lower bound " << minValue << "."); |
|
|
STORM_LOG_TRACE("Obtained quantitative lower bound " << minValue << "."); |
|
|
|
|
|
|
|
|
|
|
|
minMaybeStateResult.player1Strategy = combinedMinPlayer1QualitativeStrategies.existsAbstract(game.getPlayer1Variables()).ite(combinedMinPlayer1QualitativeStrategies, minMaybeStateResult.player1Strategy); |
|
|
|
|
|
minMaybeStateResult.player2Strategy = combinedMinPlayer2QualitativeStrategies.existsAbstract(game.getPlayer2Variables()).ite(combinedMinPlayer2QualitativeStrategies, minMaybeStateResult.player2Strategy); |
|
|
|
|
|
|
|
|
// Check whether we can abort the computation because of the lower value.
|
|
|
// Check whether we can abort the computation because of the lower value.
|
|
|
result = checkForResultAfterQuantitativeCheck<ValueType>(checkTask, storm::OptimizationDirection::Minimize, minValue); |
|
|
result = checkForResultAfterQuantitativeCheck<ValueType>(checkTask, storm::OptimizationDirection::Minimize, minValue); |
|
|
if (result) { |
|
|
if (result) { |
|
|
return result; |
|
|
return result; |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
storm::dd::Bdd<Type> combinedMaxPlayer1QualitativeStrategies = (prob01.max.first.getPlayer1Strategy() || prob01.max.second.getPlayer1Strategy()); |
|
|
|
|
|
storm::dd::Bdd<Type> combinedMaxPlayer2QualitativeStrategies = (prob01.max.first.getPlayer2Strategy() || prob01.max.second.getPlayer2Strategy()); |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
// Likewise, the maximal value after qualitative checking can only be 1. If it was 0, we could have
|
|
|
// Likewise, the maximal value after qualitative checking can only be 1. If it was 0, we could have
|
|
|
// given the result right awy.
|
|
|
// given the result right awy.
|
|
|
ValueType maxValue = storm::utility::one<ValueType>(); |
|
|
ValueType maxValue = storm::utility::one<ValueType>(); |
|
|
MaybeStateResult<Type, ValueType> maxMaybeStateResult(game.getManager().template getAddZero<ValueType>(), game.getManager().getBddZero(), game.getManager().getBddZero()); |
|
|
MaybeStateResult<Type, ValueType> maxMaybeStateResult(game.getManager().template getAddZero<ValueType>(), game.getManager().getBddZero(), game.getManager().getBddZero()); |
|
|
if (!maybeMax.isZero()) { |
|
|
if (!maybeMax.isZero()) { |
|
|
maxMaybeStateResult = solveMaybeStates(player1Direction, storm::OptimizationDirection::Maximize, game, maybeMax, prob01.max.second.getPlayer1States(), boost::make_optional(minMaybeStateResult)); |
|
|
maxMaybeStateResult = solveMaybeStates(player1Direction, storm::OptimizationDirection::Maximize, game, maybeMax, prob01.max.second.getPlayer1States(), boost::make_optional(minMaybeStateResult)); |
|
|
|
|
|
maxMaybeStateResult.player1Strategy &= game.getReachableStates(); |
|
|
|
|
|
maxMaybeStateResult.player2Strategy &= game.getReachableStates(); |
|
|
maxResult += maxMaybeStateResult.values; |
|
|
maxResult += maxMaybeStateResult.values; |
|
|
storm::dd::Add<Type, ValueType> initialStateMax = (initialStatesAdd * maxResult); |
|
|
storm::dd::Add<Type, ValueType> initialStateMax = (initialStatesAdd * maxResult); |
|
|
// Unlike in the min-case, we can require a non-zero count of 1 here, because if the max was in
|
|
|
// Unlike in the min-case, we can require a non-zero count of 1 here, because if the max was in
|
|
@ -561,6 +575,9 @@ namespace storm { |
|
|
} |
|
|
} |
|
|
STORM_LOG_TRACE("Obtained quantitative upper bound " << maxValue << "."); |
|
|
STORM_LOG_TRACE("Obtained quantitative upper bound " << maxValue << "."); |
|
|
|
|
|
|
|
|
|
|
|
maxMaybeStateResult.player1Strategy = combinedMaxPlayer1QualitativeStrategies.existsAbstract(game.getPlayer1Variables()).ite(combinedMaxPlayer1QualitativeStrategies, maxMaybeStateResult.player1Strategy); |
|
|
|
|
|
maxMaybeStateResult.player2Strategy = combinedMaxPlayer2QualitativeStrategies.existsAbstract(game.getPlayer2Variables()).ite(combinedMaxPlayer2QualitativeStrategies, maxMaybeStateResult.player2Strategy); |
|
|
|
|
|
|
|
|
// Check whether we can abort the computation because of the upper value.
|
|
|
// Check whether we can abort the computation because of the upper value.
|
|
|
result = checkForResultAfterQuantitativeCheck<ValueType>(checkTask, storm::OptimizationDirection::Maximize, maxValue); |
|
|
result = checkForResultAfterQuantitativeCheck<ValueType>(checkTask, storm::OptimizationDirection::Maximize, maxValue); |
|
|
if (result) { |
|
|
if (result) { |
|
@ -577,8 +594,25 @@ namespace storm { |
|
|
// If we arrived at this point, it means that we have all qualitative and quantitative information
|
|
|
// If we arrived at this point, it means that we have all qualitative and quantitative information
|
|
|
// about the game, but we could not yet answer the query. In this case, we need to refine.
|
|
|
// about the game, but we could not yet answer the query. In this case, we need to refine.
|
|
|
|
|
|
|
|
|
|
|
|
// Redirect all player 1 choices of the min strategy to that of the max strategy if this leads to a player 2 state that has the same prob.
|
|
|
|
|
|
// Get all relevant strategies.
|
|
|
|
|
|
storm::dd::Add<Type, ValueType> matrix = game.getTransitionMatrix(); |
|
|
|
|
|
|
|
|
|
|
|
storm::dd::Add<Type, ValueType> minResultTmp = minResult.swapVariables(game.getRowColumnMetaVariablePairs()); |
|
|
|
|
|
storm::dd::Add<Type, ValueType> minValuesForPlayer1UnderMinP1Strategy = (matrix * minMaybeStateResult.player1Strategy.template toAdd<ValueType>() * minMaybeStateResult.player2Strategy.template toAdd<ValueType>() * minResultTmp).sumAbstract(game.getColumnVariables()).sumAbstract(game.getPlayer2Variables()).sumAbstract(game.getPlayer1Variables()); |
|
|
|
|
|
storm::dd::Add<Type, ValueType> minValuesForPlayer1UnderMaxP1P2Strategy = (matrix * maxMaybeStateResult.player1Strategy.template toAdd<ValueType>() * maxMaybeStateResult.player2Strategy.template toAdd<ValueType>() * minResultTmp).sumAbstract(game.getColumnVariables()).sumAbstract(game.getPlayer2Variables()).sumAbstract(game.getPlayer1Variables()); |
|
|
|
|
|
storm::dd::Add<Type, ValueType> minValuesForPlayer1UnderMaxP1Strategy = (matrix * maxMaybeStateResult.player1Strategy.template toAdd<ValueType>() * minMaybeStateResult.player2Strategy.template toAdd<ValueType>() * minResultTmp).sumAbstract(game.getColumnVariables()).sumAbstract(game.getPlayer2Variables()).sumAbstract(game.getPlayer1Variables()); |
|
|
|
|
|
|
|
|
|
|
|
minValuesForPlayer1UnderMinP1Strategy = prob01.min.first.getPlayer1States().ite(game.getManager().template getAddZero<ValueType>(), prob01.min.second.getPlayer1States().ite(game.getManager().template getAddOne<ValueType>(), minValuesForPlayer1UnderMinP1Strategy)); |
|
|
|
|
|
minValuesForPlayer1UnderMaxP1Strategy = prob01.min.first.getPlayer1States().ite(game.getManager().template getAddZero<ValueType>(), prob01.min.second.getPlayer1States().ite(game.getManager().template getAddOne<ValueType>(), minValuesForPlayer1UnderMaxP1Strategy)); |
|
|
|
|
|
|
|
|
|
|
|
// This BDD has a 1 for every state (s) that can switch the strategy.
|
|
|
|
|
|
storm::dd::Bdd<Type> minIsGreaterOrEqual = minValuesForPlayer1UnderMinP1Strategy.greaterOrEqual(minValuesForPlayer1UnderMaxP1Strategy); |
|
|
|
|
|
|
|
|
|
|
|
minMaybeStateResult.player1Strategy = minIsGreaterOrEqual.ite(maxMaybeStateResult.player1Strategy, minMaybeStateResult.player1Strategy); |
|
|
|
|
|
|
|
|
// Start by extending the quantitative strategies by the qualitative ones.
|
|
|
// Start by extending the quantitative strategies by the qualitative ones.
|
|
|
minMaybeStateResult.player1Strategy |= prob01.min.first.getPlayer1Strategy() || prob01.min.second.getPlayer1Strategy(); |
|
|
|
|
|
|
|
|
//minMaybeStateResult.player1Strategy |= prob01.min.first.getPlayer1Strategy() || prob01.min.second.getPlayer1Strategy();
|
|
|
|
|
|
|
|
|
storm::dd::Bdd<Type> tmp = (prob01.min.first.getPlayer2Strategy().existsAbstract(game.getPlayer2Variables()) && prob01.min.second.getPlayer2Strategy().existsAbstract(game.getPlayer2Variables())); |
|
|
storm::dd::Bdd<Type> tmp = (prob01.min.first.getPlayer2Strategy().existsAbstract(game.getPlayer2Variables()) && prob01.min.second.getPlayer2Strategy().existsAbstract(game.getPlayer2Variables())); |
|
|
STORM_LOG_ASSERT(tmp.isZero(), "wth?"); |
|
|
STORM_LOG_ASSERT(tmp.isZero(), "wth?"); |