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first working version of sparse MDP quotient extraction of dd bisimulation

tempestpy_adaptions
dehnert 7 years ago
parent
f96403de9e
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b31fb7ab5e
1 changed files with 252 additions and 154 deletions
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  1. 192
      src/storm/storage/dd/bisimulation/QuotientExtractor.cpp

192
src/storm/storage/dd/bisimulation/QuotientExtractor.cpp
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@ -1,6 +1,6 @@
#include "storm/storage/dd/bisimulation/QuotientExtractor.h"
#include <boost/container/flat_map.hpp>
#include <numeric>
#include "storm/storage/dd/DdManager.h"
@ -11,6 +11,7 @@
#include "storm/models/sparse/Dtmc.h"
#include "storm/models/sparse/Ctmc.h"
#include "storm/models/sparse/Mdp.h"
#include "storm/models/sparse/StandardRewardModel.h"
#include "storm/storage/dd/bisimulation/PreservationInformation.h"
@ -224,41 +225,38 @@ namespace storm {
template<storm::dd::DdType DdType, typename ValueType>
class InternalSparseQuotientExtractorBase {
public:
InternalSparseQuotientExtractorBase(storm::dd::DdManager<DdType> const& manager, std::set<storm::expressions::Variable> const& rowVariables, std::set<storm::expressions::Variable> const& columnVariables, std::set<storm::expressions::Variable> const& nondeterminismVariables, Partition<DdType, ValueType> const& partition, storm::dd::Bdd<DdType> const& representatives, storm::dd::Odd const& odd) : manager(manager), partition(partition), representatives(representatives), odd(odd) {
InternalSparseQuotientExtractorBase(storm::models::symbolic::Model<DdType, ValueType> const& model, Partition<DdType, ValueType> const& partition, storm::dd::Bdd<DdType> const& representatives) : manager(model.getManager()), isNondeterministic(false), partition(partition), representatives(representatives), matrixEntriesCreated(false) {
// Create cubes.
rowVariablesCube = manager.getBddOne();
for (auto const& variable : rowVariables) {
for (auto const& variable : model.getRowVariables()) {
auto const& ddMetaVariable = manager.getMetaVariable(variable);
rowVariablesCube &= ddMetaVariable.getCube();
}
columnVariablesCube = manager.getBddOne();
for (auto const& variable : columnVariables) {
for (auto const& variable : model.getColumnVariables()) {
auto const& ddMetaVariable = manager.getMetaVariable(variable);
columnVariablesCube &= ddMetaVariable.getCube();
}
nondeterminismVariablesCube = manager.getBddOne();
for (auto const& variable : nondeterminismVariables) {
for (auto const& variable : model.getNondeterminismVariables()) {
auto const& ddMetaVariable = manager.getMetaVariable(variable);
nondeterminismVariablesCube &= ddMetaVariable.getCube();
}
allSourceVariablesCube = rowVariablesCube && nondeterminismVariablesCube;
}
protected:
// The manager responsible for the DDs.
storm::dd::DdManager<DdType> const& manager;
isNondeterministic = !nondeterminismVariablesCube.isOne();
// Useful cubes needed in the translation.
storm::dd::Bdd<DdType> rowVariablesCube;
storm::dd::Bdd<DdType> columnVariablesCube;
storm::dd::Bdd<DdType> allSourceVariablesCube;
storm::dd::Bdd<DdType> nondeterminismVariablesCube;
// Create ODDs.
this->odd = representatives.createOdd();
if (this->isNondeterministic) {
this->nondeterminismOdd = (model.getQualitativeTransitionMatrix().existsAbstract(model.getColumnVariables()) && this->representatives).createOdd();
}
}
// Information about the state partition.
Partition<DdType, ValueType> partition;
storm::dd::Bdd<DdType> representatives;
storm::dd::Odd const& odd;
storm::dd::Odd const& getOdd() const {
return this->odd;
}
protected:
storm::storage::SparseMatrix<ValueType> createMatrixFromEntries() {
for (auto& row : matrixEntries) {
std::sort(row.begin(), row.end(),
@ -267,9 +265,26 @@ namespace storm {
});
}
storm::storage::SparseMatrixBuilder<ValueType> builder(partition.getNumberOfBlocks(), partition.getNumberOfBlocks());
std::vector<uint64_t> rowPermutation(matrixEntries.size());
std::iota(rowPermutation.begin(), rowPermutation.end(), 0ull);
if (this->isNondeterministic) {
std::sort(rowPermutation.begin(), rowPermutation.end(), [this] (uint64_t first, uint64_t second) { return this->rowToState[first] < this->rowToState[second]; } );
}
uint64_t rowCounter = 0;
for (auto& row : matrixEntries) {
uint64_t lastState = this->isNondeterministic ? rowToState[rowPermutation.front()] : 0;
storm::storage::SparseMatrixBuilder<ValueType> builder(matrixEntries.size(), partition.getNumberOfBlocks(), 0, true, this->isNondeterministic);
if (this->isNondeterministic) {
builder.newRowGroup(0);
}
for (auto& rowIdx : rowPermutation) {
// For nondeterministic models, open a new row group.
if (this->isNondeterministic && rowToState[rowIdx] != lastState) {
builder.newRowGroup(rowCounter);
lastState = rowToState[rowIdx];
}
auto& row = matrixEntries[rowIdx];
for (auto const& entry : row) {
builder.addNextValue(rowCounter, entry.getColumn(), entry.getValue());
}
@ -287,22 +302,59 @@ namespace storm {
return builder.build();
}
void addMatrixEntry(uint64_t sourceBlockIndex, uint64_t targetBlockIndex, ValueType const& value) {
this->matrixEntries[sourceBlockIndex].emplace_back(targetBlockIndex, value);
void addMatrixEntry(uint64_t row, uint64_t column, ValueType const& value) {
this->matrixEntries[row].emplace_back(column, value);
}
void createMatrixEntryStorage() {
if (matrixEntriesCreated) {
matrixEntries.clear();
if (isNondeterministic) {
rowToState.clear();
}
}
matrixEntries.resize(this->isNondeterministic ? nondeterminismOdd.getTotalOffset() : odd.getTotalOffset());
if (isNondeterministic) {
rowToState.resize(matrixEntries.size());
}
}
void reserveMatrixEntries(uint64_t numberOfStates) {
this->matrixEntries.resize(numberOfStates);
void assignRowToState(uint64_t row, uint64_t state) {
rowToState[row] = state;
}
// The entries of the matrix that is built if the model is deterministic (DTMC, CTMC).
// The manager responsible for the DDs.
storm::dd::DdManager<DdType> const& manager;
// A flag that stores whether we need to take care of nondeterminism.
bool isNondeterministic;
// Useful cubes needed in the translation.
storm::dd::Bdd<DdType> rowVariablesCube;
storm::dd::Bdd<DdType> columnVariablesCube;
storm::dd::Bdd<DdType> allSourceVariablesCube;
storm::dd::Bdd<DdType> nondeterminismVariablesCube;
// Information about the state partition.
Partition<DdType, ValueType> partition;
storm::dd::Bdd<DdType> representatives;
storm::dd::Odd odd;
storm::dd::Odd nondeterminismOdd;
// A flag that stores whether the underlying storage for matrix entries has been created.
bool matrixEntriesCreated;
// The entries of the quotient matrix that is built.
std::vector<std::vector<storm::storage::MatrixEntry<uint_fast64_t, ValueType>>> matrixEntries;
// A vector storing for each row which state it belongs to.
std::vector<uint64_t> rowToState;
};
template<typename ValueType>
class InternalSparseQuotientExtractor<storm::dd::DdType::CUDD, ValueType> : public InternalSparseQuotientExtractorBase<storm::dd::DdType::CUDD, ValueType> {
public:
InternalSparseQuotientExtractor(storm::dd::DdManager<storm::dd::DdType::CUDD> const& manager, std::set<storm::expressions::Variable> const& rowVariables, std::set<storm::expressions::Variable> const& columnVariables, std::set<storm::expressions::Variable> const& nondeterminismVariables, Partition<storm::dd::DdType::CUDD, ValueType> const& partition, storm::dd::Bdd<storm::dd::DdType::CUDD> const& representatives, storm::dd::Odd const& odd) : InternalSparseQuotientExtractorBase<storm::dd::DdType::CUDD, ValueType>(manager, rowVariables, columnVariables, nondeterminismVariables, partition, representatives, odd), ddman(this->manager.getInternalDdManager().getCuddManager().getManager()) {
InternalSparseQuotientExtractor(storm::models::symbolic::Model<storm::dd::DdType::CUDD, ValueType> const& model, Partition<storm::dd::DdType::CUDD, ValueType> const& partition, storm::dd::Bdd<storm::dd::DdType::CUDD> const& representatives) : InternalSparseQuotientExtractorBase<storm::dd::DdType::CUDD, ValueType>(model, partition, representatives), ddman(this->manager.getInternalDdManager().getCuddManager().getManager()) {
STORM_LOG_ASSERT(this->partition.storedAsAdd(), "Expected partition to be stored as an ADD.");
this->createBlockToOffsetMapping();
@ -310,11 +362,9 @@ namespace storm {
storm::storage::SparseMatrix<ValueType> extractTransitionMatrix(storm::dd::Add<storm::dd::DdType::CUDD, ValueType> const& transitionMatrix) {
// Create the number of rows necessary for the matrix.
this->reserveMatrixEntries(this->partition.getNumberOfBlocks());
STORM_LOG_TRACE("Partition has " << this->partition.getNumberOfStates() << " states in " << this->partition.getNumberOfBlocks() << " blocks.");
extractTransitionMatrixRec(transitionMatrix.getInternalAdd().getCuddDdNode(), this->odd, 0, this->partition.asAdd().getInternalAdd().getCuddDdNode(), this->representatives.getInternalBdd().getCuddDdNode(), this->allSourceVariablesCube.getInternalBdd().getCuddDdNode());
this->createMatrixEntryStorage();
extractTransitionMatrixRec(transitionMatrix.getInternalAdd().getCuddDdNode(), this->isNondeterministic ? this->nondeterminismOdd : this->odd, 0, this->partition.asAdd().getInternalAdd().getCuddDdNode(), this->representatives.getInternalBdd().getCuddDdNode(), this->allSourceVariablesCube.getInternalBdd().getCuddDdNode(), this->nondeterminismVariablesCube.getInternalBdd().getCuddDdNode(), this->isNondeterministic ? &this->odd : nullptr, 0);
return this->createMatrixFromEntries();
}
@ -364,7 +414,7 @@ namespace storm {
}
}
void extractTransitionMatrixRec(DdNodePtr transitionMatrixNode, storm::dd::Odd const& sourceOdd, uint64_t sourceOffset, DdNodePtr targetPartitionNode, DdNodePtr representativesNode, DdNodePtr variables) {
void extractTransitionMatrixRec(DdNodePtr transitionMatrixNode, storm::dd::Odd const& sourceOdd, uint64_t sourceOffset, DdNodePtr targetPartitionNode, DdNodePtr representativesNode, DdNodePtr variables, DdNodePtr nondeterminismVariables, storm::dd::Odd const* stateOdd, uint64_t stateOffset) {
// For the empty DD, we do not need to add any entries. Note that the partition nodes cannot be zero
// as all states of the model have to be contained.
if (transitionMatrixNode == Cudd_ReadZero(ddman) || representativesNode == Cudd_ReadLogicZero(ddman)) {
@ -375,6 +425,28 @@ namespace storm {
if (Cudd_IsConstant(variables)) {
STORM_LOG_ASSERT(Cudd_IsConstant(transitionMatrixNode), "Expected constant node.");
this->addMatrixEntry(sourceOffset, blockToOffset.at(targetPartitionNode), Cudd_V(transitionMatrixNode));
if (stateOdd) {
this->assignRowToState(sourceOffset, stateOffset);
}
} else {
// Determine whether the next variable is a nondeterminism variable.
bool nextVariableIsNondeterminismVariable = !Cudd_IsConstant(nondeterminismVariables) && Cudd_NodeReadIndex(nondeterminismVariables) == Cudd_NodeReadIndex(variables);
if (nextVariableIsNondeterminismVariable) {
DdNodePtr t;
DdNodePtr e;
// Determine whether the variable was skipped in the matrix.
if (Cudd_NodeReadIndex(transitionMatrixNode) == Cudd_NodeReadIndex(variables)) {
t = Cudd_T(transitionMatrixNode);
e = Cudd_E(transitionMatrixNode);
} else {
t = e = transitionMatrixNode;
}
STORM_LOG_ASSERT(stateOdd, "Expected separate state ODD.");
extractTransitionMatrixRec(e, sourceOdd.getElseSuccessor(), sourceOffset, targetPartitionNode, representativesNode, Cudd_T(variables), Cudd_T(nondeterminismVariables), stateOdd, stateOffset);
extractTransitionMatrixRec(t, sourceOdd.getThenSuccessor(), sourceOffset + sourceOdd.getElseOffset(), targetPartitionNode, representativesNode, Cudd_T(variables), Cudd_T(nondeterminismVariables), stateOdd, stateOffset);
} else {
DdNodePtr t;
DdNodePtr tt;
@ -439,10 +511,11 @@ namespace storm {
representativesE = Cudd_Not(representativesE);
}
extractTransitionMatrixRec(ee, sourceOdd.getElseSuccessor(), sourceOffset, targetE, representativesE, Cudd_T(variables));
extractTransitionMatrixRec(et, sourceOdd.getElseSuccessor(), sourceOffset, targetT, representativesE, Cudd_T(variables));
extractTransitionMatrixRec(te, sourceOdd.getThenSuccessor(), sourceOffset + sourceOdd.getElseOffset(), targetE, representativesT, Cudd_T(variables));
extractTransitionMatrixRec(tt, sourceOdd.getThenSuccessor(), sourceOffset + sourceOdd.getElseOffset(), targetT, representativesT, Cudd_T(variables));
extractTransitionMatrixRec(ee, sourceOdd.getElseSuccessor(), sourceOffset, targetE, representativesE, Cudd_T(variables), nondeterminismVariables, stateOdd ? &stateOdd->getElseSuccessor() : stateOdd, stateOffset);
extractTransitionMatrixRec(et, sourceOdd.getElseSuccessor(), sourceOffset, targetT, representativesE, Cudd_T(variables), nondeterminismVariables, stateOdd ? &stateOdd->getElseSuccessor() : stateOdd, stateOffset);
extractTransitionMatrixRec(te, sourceOdd.getThenSuccessor(), sourceOffset + sourceOdd.getElseOffset(), targetE, representativesT, Cudd_T(variables), nondeterminismVariables, stateOdd ? &stateOdd->getThenSuccessor() : stateOdd, stateOffset + (stateOdd ? stateOdd->getElseOffset() : 0));
extractTransitionMatrixRec(tt, sourceOdd.getThenSuccessor(), sourceOffset + sourceOdd.getElseOffset(), targetT, representativesT, Cudd_T(variables), nondeterminismVariables, stateOdd ? &stateOdd->getThenSuccessor() : stateOdd, stateOffset + (stateOdd ? stateOdd->getElseOffset() : 0));
}
}
}
@ -455,7 +528,7 @@ namespace storm {
template<typename ValueType>
class InternalSparseQuotientExtractor<storm::dd::DdType::Sylvan, ValueType> : public InternalSparseQuotientExtractorBase<storm::dd::DdType::Sylvan, ValueType> {
public:
InternalSparseQuotientExtractor(storm::dd::DdManager<storm::dd::DdType::Sylvan> const& manager, std::set<storm::expressions::Variable> const& rowVariables, std::set<storm::expressions::Variable> const& columnVariables, std::set<storm::expressions::Variable> const& nondeterminismVariables, Partition<storm::dd::DdType::Sylvan, ValueType> const& partition, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& representatives, storm::dd::Odd const& odd) : InternalSparseQuotientExtractorBase<storm::dd::DdType::Sylvan, ValueType>(manager, rowVariables, columnVariables, nondeterminismVariables, partition, representatives, odd) {
InternalSparseQuotientExtractor(storm::models::symbolic::Model<storm::dd::DdType::Sylvan, ValueType> const& model, Partition<storm::dd::DdType::Sylvan, ValueType> const& partition, storm::dd::Bdd<storm::dd::DdType::Sylvan> const& representatives) : InternalSparseQuotientExtractorBase<storm::dd::DdType::Sylvan, ValueType>(model, partition, representatives) {
STORM_LOG_ASSERT(partition.storedAsBdd(), "Expected partition stored as BDD.");
this->createBlockToOffsetMapping();
@ -463,8 +536,8 @@ namespace storm {
storm::storage::SparseMatrix<ValueType> extractTransitionMatrix(storm::dd::Add<storm::dd::DdType::Sylvan, ValueType> const& transitionMatrix) {
// Create the number of rows necessary for the matrix.
this->reserveMatrixEntries(this->partition.getNumberOfBlocks());
extractTransitionMatrixRec(transitionMatrix.getInternalAdd().getSylvanMtbdd().GetMTBDD(), this->odd, 0, this->partition.asBdd().getInternalBdd().getSylvanBdd().GetBDD(), this->representatives.getInternalBdd().getSylvanBdd().GetBDD(), this->allSourceVariablesCube.getInternalBdd().getSylvanBdd().GetBDD());
this->createMatrixEntryStorage();
extractTransitionMatrixRec(transitionMatrix.getInternalAdd().getSylvanMtbdd().GetMTBDD(), this->isNondeterministic ? this->nondeterminismOdd : this->odd, 0, this->partition.asBdd().getInternalBdd().getSylvanBdd().GetBDD(), this->representatives.getInternalBdd().getSylvanBdd().GetBDD(), this->allSourceVariablesCube.getInternalBdd().getSylvanBdd().GetBDD(), this->nondeterminismVariablesCube.getInternalBdd().getSylvanBdd().GetBDD(), this->isNondeterministic ? &this->odd : nullptr, 0);
return this->createMatrixFromEntries();
}
@ -509,7 +582,7 @@ namespace storm {
}
}
void extractTransitionMatrixRec(MTBDD transitionMatrixNode, storm::dd::Odd const& sourceOdd, uint64_t sourceOffset, BDD targetPartitionNode, BDD representativesNode, BDD variables) {
void extractTransitionMatrixRec(MTBDD transitionMatrixNode, storm::dd::Odd const& sourceOdd, uint64_t sourceOffset, BDD targetPartitionNode, BDD representativesNode, BDD variables, BDD nondeterminismVariables, storm::dd::Odd const* stateOdd, uint64_t stateOffset) {
// For the empty DD, we do not need to add any entries. Note that the partition nodes cannot be zero
// as all states of the model have to be contained.
if (mtbdd_iszero(transitionMatrixNode) || representativesNode == sylvan_false) {
@ -518,8 +591,30 @@ namespace storm {
// If we have moved through all source variables, we must have arrived at a target block encoding.
if (sylvan_isconst(variables)) {
STORM_LOG_ASSERT(sylvan_isconst(transitionMatrixNode), "Expected constant node.");
STORM_LOG_ASSERT(mtbdd_isleaf(transitionMatrixNode), "Expected constant node.");
this->addMatrixEntry(sourceOffset, blockToOffset.at(targetPartitionNode), storm::dd::InternalAdd<storm::dd::DdType::Sylvan, ValueType>::getValue(transitionMatrixNode));
if (stateOdd) {
this->assignRowToState(sourceOffset, stateOffset);
}
} else {
// Determine whether the next variable is a nondeterminism variable.
bool nextVariableIsNondeterminismVariable = !sylvan_isconst(nondeterminismVariables) && sylvan_var(nondeterminismVariables) == sylvan_var(variables);
if (nextVariableIsNondeterminismVariable) {
MTBDD t;
MTBDD e;
// Determine whether the variable was skipped in the matrix.
if (sylvan_var(transitionMatrixNode) == sylvan_var(variables)) {
t = sylvan_high(transitionMatrixNode);
e = sylvan_low(transitionMatrixNode);
} else {
t = e = transitionMatrixNode;
}
STORM_LOG_ASSERT(stateOdd, "Expected separate state ODD.");
extractTransitionMatrixRec(e, sourceOdd.getElseSuccessor(), sourceOffset, targetPartitionNode, representativesNode, sylvan_high(variables), sylvan_high(nondeterminismVariables), stateOdd, stateOffset);
extractTransitionMatrixRec(t, sourceOdd.getThenSuccessor(), sourceOffset + sourceOdd.getElseOffset(), targetPartitionNode, representativesNode, sylvan_high(variables), sylvan_high(nondeterminismVariables), stateOdd, stateOffset);
} else {
MTBDD t;
MTBDD tt;
@ -579,10 +674,11 @@ namespace storm {
representativesT = representativesE = representativesNode;
}
extractTransitionMatrixRec(ee, sourceOdd.getElseSuccessor(), sourceOffset, targetE, representativesE, sylvan_high(variables));
extractTransitionMatrixRec(et, sourceOdd.getElseSuccessor(), sourceOffset, targetT, representativesE, sylvan_high(variables));
extractTransitionMatrixRec(te, sourceOdd.getThenSuccessor(), sourceOffset + sourceOdd.getElseOffset(), targetE, representativesT, sylvan_high(variables));
extractTransitionMatrixRec(tt, sourceOdd.getThenSuccessor(), sourceOffset + sourceOdd.getElseOffset(), targetT, representativesT, sylvan_high(variables));
extractTransitionMatrixRec(ee, sourceOdd.getElseSuccessor(), sourceOffset, targetE, representativesE, sylvan_high(variables), nondeterminismVariables, stateOdd ? &stateOdd->getElseSuccessor() : stateOdd, stateOffset);
extractTransitionMatrixRec(et, sourceOdd.getElseSuccessor(), sourceOffset, targetT, representativesE, sylvan_high(variables), nondeterminismVariables, stateOdd ? &stateOdd->getElseSuccessor() : stateOdd, stateOffset);
extractTransitionMatrixRec(te, sourceOdd.getThenSuccessor(), sourceOffset + sourceOdd.getElseOffset(), targetE, representativesT, sylvan_high(variables), nondeterminismVariables, stateOdd ? &stateOdd->getThenSuccessor() : stateOdd, stateOffset + (stateOdd ? stateOdd->getElseOffset() : 0));
extractTransitionMatrixRec(tt, sourceOdd.getThenSuccessor(), sourceOffset + sourceOdd.getElseOffset(), targetT, representativesT, sylvan_high(variables), nondeterminismVariables, stateOdd ? &stateOdd->getThenSuccessor() : stateOdd, stateOffset + (stateOdd ? stateOdd->getElseOffset() : 0));
}
}
}
@ -626,9 +722,9 @@ namespace storm {
auto representatives = InternalRepresentativeComputer<DdType, ValueType>(partition, model.getRowVariables(), model.getColumnVariables()).getRepresentatives();
STORM_LOG_ASSERT(representatives.getNonZeroCount() == partition.getNumberOfBlocks(), "Representatives size does not match that of the partition: " << representatives.getNonZeroCount() << " vs. " << partition.getNumberOfBlocks() << ".");
STORM_LOG_ASSERT((representatives && partitionAsBdd).existsAbstract(model.getRowVariables()) == partitionAsBdd.existsAbstract(model.getRowVariables()), "Representatives do not cover all blocks.");
storm::dd::Odd odd = representatives.createOdd();
InternalSparseQuotientExtractor<DdType, ValueType> sparseExtractor(model, partition, representatives);
storm::dd::Odd const& odd = sparseExtractor.getOdd();
STORM_LOG_ASSERT(odd.getTotalOffset() == representatives.getNonZeroCount(), "Mismatching ODD.");
InternalSparseQuotientExtractor<DdType, ValueType> sparseExtractor(model.getManager(), model.getRowVariables(), model.getColumnVariables(), model.getNondeterminismVariables(), partition, representatives, odd);
storm::storage::SparseMatrix<ValueType> quotientTransitionMatrix = sparseExtractor.extractTransitionMatrix(model.getTransitionMatrix());
auto end = std::chrono::high_resolution_clock::now();
STORM_LOG_TRACE("Quotient transition matrix extracted in " << std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count() << "ms.");
@ -660,6 +756,8 @@ namespace storm {
result = std::make_shared<storm::models::sparse::Dtmc<ValueType>>(std::move(quotientTransitionMatrix), std::move(quotientStateLabeling));
} else if (model.getType() == storm::models::ModelType::Ctmc) {
result = std::make_shared<storm::models::sparse::Ctmc<ValueType>>(std::move(quotientTransitionMatrix), std::move(quotientStateLabeling));
} else if (model.getType() == storm::models::ModelType::Mdp) {
result = std::make_shared<storm::models::sparse::Mdp<ValueType>>(std::move(quotientTransitionMatrix), std::move(quotientStateLabeling));
}
return result;

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