#include "storm/storage/dd/sylvan/InternalSylvanAdd.h"

#include "storm/storage/dd/sylvan/SylvanAddIterator.h"
#include "storm/storage/dd/sylvan/InternalSylvanDdManager.h"
#include "storm/storage/dd/DdManager.h"

#include "storm/storage/SparseMatrix.h"
#include "storm/storage/BitVector.h"

#include "storm/utility/macros.h"
#include "storm/utility/constants.h"
#include "storm/exceptions/NotImplementedException.h"
#include "storm/exceptions/InvalidOperationException.h"
#include "storm/exceptions/NotSupportedException.h"

#include "storm-config.h"

namespace storm {
    namespace dd {
        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType>::InternalAdd() : ddManager(nullptr), sylvanMtbdd() {
            // Intentionally left empty.
        }
        
        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType>::InternalAdd(InternalDdManager<DdType::Sylvan> const* ddManager, sylvan::Mtbdd const& sylvanMtbdd) : ddManager(ddManager), sylvanMtbdd(sylvanMtbdd) {
            // Intentionally left empty.
        }
        
        template<typename ValueType>
        ValueType InternalAdd<DdType::Sylvan, ValueType>::getValue(MTBDD const& node) {
            STORM_LOG_ASSERT(mtbdd_isleaf(node), "Expected leaf, but got variable " << mtbdd_getvar(node) << ".");
            
            bool negated = mtbdd_hascomp(node);
            MTBDD n = mtbdd_regular(node);
            
            if (std::is_same<ValueType, double>::value) {
                STORM_LOG_ASSERT(mtbdd_gettype(n) == 1, "Expected a double value.");
                return negated ? -mtbdd_getdouble(n) : mtbdd_getdouble(n);
            } else if (std::is_same<ValueType, uint_fast64_t>::value) {
                STORM_LOG_ASSERT(mtbdd_gettype(node) == 0, "Expected an unsigned value.");
                return negated ? -mtbdd_getint64(node) : mtbdd_getint64(node);
            }
#ifdef STORM_HAVE_CARL
            else if (std::is_same<ValueType, storm::RationalFunction>::value) {
                STORM_LOG_ASSERT(false, "Non-specialized version of getValue() called for storm::RationalFunction value.");
            }
#endif
            else {
                STORM_LOG_ASSERT(false, "Illegal or unknown type in MTBDD.");
            }
        }
        
        template<>
        storm::RationalNumber InternalAdd<DdType::Sylvan, storm::RationalNumber>::getValue(MTBDD const& node) {
            STORM_LOG_ASSERT(mtbdd_isleaf(node), "Expected leaf, but got variable " << mtbdd_getvar(node) << ".");
            
            bool negated = mtbdd_hascomp(node);
            
            STORM_LOG_ASSERT(mtbdd_gettype(node) == sylvan_storm_rational_number_get_type(), "Expected a storm::RationalNumber value.");
            storm_rational_number_ptr ptr = (storm_rational_number_ptr)mtbdd_getstorm_rational_number_ptr(node);
            storm::RationalNumber* rationalNumber = (storm::RationalNumber*)(ptr);
            
            return negated ? -(*rationalNumber) : (*rationalNumber);
        }
        
#ifdef STORM_HAVE_CARL
        template<>
        storm::RationalFunction InternalAdd<DdType::Sylvan, storm::RationalFunction>::getValue(MTBDD const& node) {
            STORM_LOG_ASSERT(mtbdd_isleaf(node), "Expected leaf, but got variable " << mtbdd_getvar(node) << ".");
            
            bool negated = mtbdd_hascomp(node);
            
            STORM_LOG_ASSERT(mtbdd_gettype(node) == sylvan_storm_rational_function_get_type(), "Expected a storm::RationalFunction value.");
            uint64_t value = mtbdd_getvalue(node);
            storm_rational_function_ptr ptr = (storm_rational_function_ptr)value;
            
            storm::RationalFunction* rationalFunction = (storm::RationalFunction*)(ptr);
            
            return negated ? -(*rationalFunction) : (*rationalFunction);
        }
#endif
                
        template<typename ValueType>
        bool InternalAdd<DdType::Sylvan, ValueType>::operator==(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return this->sylvanMtbdd == other.sylvanMtbdd;
        }
        
        template<typename ValueType>
        bool InternalAdd<DdType::Sylvan, ValueType>::operator!=(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return this->sylvanMtbdd != other.sylvanMtbdd;
        }
                        
        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::operator+(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.Plus(other.sylvanMtbdd));
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::operator+(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other) const {
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager, this->sylvanMtbdd.PlusRN(other.sylvanMtbdd));
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::operator+(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other) const {
            return InternalAdd<DdType::Sylvan, storm::RationalFunction>(ddManager, this->sylvanMtbdd.PlusRF(other.sylvanMtbdd));
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType>& InternalAdd<DdType::Sylvan, ValueType>::operator+=(InternalAdd<DdType::Sylvan, ValueType> const& other) {
            this->sylvanMtbdd = this->sylvanMtbdd.Plus(other.sylvanMtbdd);
            return *this;
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber>& InternalAdd<DdType::Sylvan, storm::RationalNumber>::operator+=(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other) {
            this->sylvanMtbdd = this->sylvanMtbdd.PlusRN(other.sylvanMtbdd);
            return *this;
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction>& InternalAdd<DdType::Sylvan, storm::RationalFunction>::operator+=(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other) {
            this->sylvanMtbdd = this->sylvanMtbdd.PlusRF(other.sylvanMtbdd);
            return *this;
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::operator*(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.Times(other.sylvanMtbdd));
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::operator*(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other) const {
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager, this->sylvanMtbdd.TimesRN(other.sylvanMtbdd));
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::operator*(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other) const {
            return InternalAdd<DdType::Sylvan, storm::RationalFunction>(ddManager, this->sylvanMtbdd.TimesRF(other.sylvanMtbdd));
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType>& InternalAdd<DdType::Sylvan, ValueType>::operator*=(InternalAdd<DdType::Sylvan, ValueType> const& other) {
            this->sylvanMtbdd = this->sylvanMtbdd.Times(other.sylvanMtbdd);
            return *this;
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber>& InternalAdd<DdType::Sylvan, storm::RationalNumber>::operator*=(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other) {
            this->sylvanMtbdd = this->sylvanMtbdd.TimesRN(other.sylvanMtbdd);
            return *this;
        }

#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction>& InternalAdd<DdType::Sylvan, storm::RationalFunction>::operator*=(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other) {
            this->sylvanMtbdd = this->sylvanMtbdd.TimesRF(other.sylvanMtbdd);
            return *this;
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::operator-(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager,  this->sylvanMtbdd.Minus(other.sylvanMtbdd));
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::operator-(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other) const {
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager,  this->sylvanMtbdd.MinusRN(other.sylvanMtbdd));
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::operator-(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other) const {
            return InternalAdd<DdType::Sylvan, storm::RationalFunction>(ddManager,  this->sylvanMtbdd.MinusRF(other.sylvanMtbdd));
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType>& InternalAdd<DdType::Sylvan, ValueType>::operator-=(InternalAdd<DdType::Sylvan, ValueType> const& other) {
            this->sylvanMtbdd = this->sylvanMtbdd.Minus(other.sylvanMtbdd);
            return *this;
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber>& InternalAdd<DdType::Sylvan, storm::RationalNumber>::operator-=(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other) {
            this->sylvanMtbdd = this->sylvanMtbdd.MinusRN(other.sylvanMtbdd);
            return *this;
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction>& InternalAdd<DdType::Sylvan, storm::RationalFunction>::operator-=(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other) {
            this->sylvanMtbdd = this->sylvanMtbdd.MinusRF(other.sylvanMtbdd);
            return *this;
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::operator/(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager,  this->sylvanMtbdd.Divide(other.sylvanMtbdd));
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::operator/(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other) const {
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager,  this->sylvanMtbdd.DivideRN(other.sylvanMtbdd));
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::operator/(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other) const {
            return InternalAdd<DdType::Sylvan, storm::RationalFunction>(ddManager,  this->sylvanMtbdd.DivideRF(other.sylvanMtbdd));
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType>& InternalAdd<DdType::Sylvan, ValueType>::operator/=(InternalAdd<DdType::Sylvan, ValueType> const& other) {
            this->sylvanMtbdd = this->sylvanMtbdd.Divide(other.sylvanMtbdd);
            return *this;
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber>& InternalAdd<DdType::Sylvan, storm::RationalNumber>::operator/=(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other) {
            this->sylvanMtbdd = this->sylvanMtbdd.DivideRN(other.sylvanMtbdd);
            return *this;
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction>& InternalAdd<DdType::Sylvan, storm::RationalFunction>::operator/=(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other) {
            this->sylvanMtbdd = this->sylvanMtbdd.DivideRF(other.sylvanMtbdd);
            return *this;
        }
#endif

        template<typename ValueType>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, ValueType>::equals(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return InternalBdd<DdType::Sylvan>(ddManager,  this->sylvanMtbdd.Equals(other.sylvanMtbdd));
        }

        template<>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, storm::RationalNumber>::equals(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other) const {
            return InternalBdd<DdType::Sylvan>(ddManager,  this->sylvanMtbdd.EqualsRN(other.sylvanMtbdd));
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, storm::RationalFunction>::equals(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other) const {
            return InternalBdd<DdType::Sylvan>(ddManager,  this->sylvanMtbdd.EqualsRF(other.sylvanMtbdd));
        }
#endif

        template<typename ValueType>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, ValueType>::notEquals(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return !this->equals(other);
        }

        template<typename ValueType>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, ValueType>::less(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.Less(other.sylvanMtbdd));
        }

        template<>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, storm::RationalNumber>::less(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.LessRN(other.sylvanMtbdd));
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, storm::RationalFunction>::less(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.LessRF(other.sylvanMtbdd));
        }
#endif

        template<typename ValueType>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, ValueType>::lessOrEqual(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.LessOrEqual(other.sylvanMtbdd));
        }

        template<>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, storm::RationalNumber>::lessOrEqual(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.LessOrEqualRN(other.sylvanMtbdd));
        }

#ifdef STORM_HAVE_CARL
		template<>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, storm::RationalFunction>::lessOrEqual(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.LessOrEqualRF(other.sylvanMtbdd));
        }
#endif

        template<typename ValueType>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, ValueType>::greater(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return !this->lessOrEqual(other);
        }

        template<typename ValueType>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, ValueType>::greaterOrEqual(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return !this->less(other);
        }

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::pow(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.Pow(other.sylvanMtbdd));
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::pow(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other) const {
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager, this->sylvanMtbdd.PowRN(other.sylvanMtbdd));
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::pow(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other) const {
            return InternalAdd<DdType::Sylvan, storm::RationalFunction>(ddManager, this->sylvanMtbdd.PowRF(other.sylvanMtbdd));
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::mod(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.Mod(other.sylvanMtbdd));
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::mod(InternalAdd<DdType::Sylvan, storm::RationalNumber> const&) const {
            STORM_LOG_THROW(false, storm::exceptions::InvalidOperationException, "Operation (mod) not supported by rational numbers.");
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::mod(InternalAdd<DdType::Sylvan, storm::RationalFunction> const&) const {
            STORM_LOG_THROW(false, storm::exceptions::InvalidOperationException, "Operation (mod) not supported by rational functions.");
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::logxy(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.Logxy(other.sylvanMtbdd));
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::logxy(InternalAdd<DdType::Sylvan, storm::RationalNumber> const&) const {
            STORM_LOG_THROW(false, storm::exceptions::InvalidOperationException, "Operation (logxy) not supported by rational numbers.");
        }

#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::logxy(InternalAdd<DdType::Sylvan, storm::RationalFunction> const&) const {
            STORM_LOG_THROW(false, storm::exceptions::InvalidOperationException, "Operation (logxy) not supported by rational functions.");
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::floor() const {
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.Floor());
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::floor() const {
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager, this->sylvanMtbdd.FloorRN());
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::floor() const {
            return InternalAdd<DdType::Sylvan, storm::RationalFunction>(ddManager, this->sylvanMtbdd.FloorRF());
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::ceil() const {
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.Ceil());
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::ceil() const {
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager, this->sylvanMtbdd.CeilRN());
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::ceil() const {
            return InternalAdd<DdType::Sylvan, storm::RationalFunction>(ddManager, this->sylvanMtbdd.CeilRF());
        }
#endif
        
        template<typename ValueType>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, ValueType>::sharpenKwekMehlhorn(size_t precision) const {
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager, this->sylvanMtbdd.SharpenKwekMehlhorn(precision));
        }

#ifdef STORM_HAVE_CARL
        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalFunction>::sharpenKwekMehlhorn(size_t precision) const {
            STORM_LOG_THROW(false, storm::exceptions::NotSupportedException, "Operation not supported.");
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::minimum(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.Min(other.sylvanMtbdd));
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::minimum(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other) const {
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager, this->sylvanMtbdd.MinRN(other.sylvanMtbdd));
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::minimum(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other) const {
            return InternalAdd<DdType::Sylvan, storm::RationalFunction>(ddManager, this->sylvanMtbdd.MinRF(other.sylvanMtbdd));
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::maximum(InternalAdd<DdType::Sylvan, ValueType> const& other) const {
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.Max(other.sylvanMtbdd));
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::maximum(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other) const {
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager, this->sylvanMtbdd.MaxRN(other.sylvanMtbdd));
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::maximum(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other) const {
            return InternalAdd<DdType::Sylvan, storm::RationalFunction>(ddManager, this->sylvanMtbdd.MaxRF(other.sylvanMtbdd));
        }
#endif

        template<typename ValueType>
        template<typename TargetValueType>
        InternalAdd<DdType::Sylvan, TargetValueType> InternalAdd<DdType::Sylvan, ValueType>::toValueType() const {
            if (std::is_same<TargetValueType, ValueType>::value) {
                return *this;
            }
            STORM_LOG_THROW(false, storm::exceptions::InvalidOperationException, "Cannot convert this ADD to the target type.");
        }

        template<>
        template<>
        InternalAdd<DdType::Sylvan, double> InternalAdd<DdType::Sylvan, storm::RationalNumber>::toValueType() const {
            return InternalAdd<DdType::Sylvan, double>(ddManager, this->sylvanMtbdd.ToDoubleRN());
        }

        template<>
        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, double>::toValueType() const {
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager, this->sylvanMtbdd.ToRationalNumber());
        }

#ifdef STORM_HAVE_CARL
		template<>
        template<>
        InternalAdd<DdType::Sylvan, double> InternalAdd<DdType::Sylvan, storm::RationalFunction>::toValueType() const {
            return InternalAdd<DdType::Sylvan, double>(ddManager, this->sylvanMtbdd.ToDoubleRF());
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::sumAbstract(InternalBdd<DdType::Sylvan> const& cube) const {
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.AbstractPlus(cube.sylvanBdd));
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::sumAbstract(InternalBdd<DdType::Sylvan> const& cube) const {
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager, this->sylvanMtbdd.AbstractPlusRN(cube.sylvanBdd));
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::sumAbstract(InternalBdd<DdType::Sylvan> const& cube) const {
            return InternalAdd<DdType::Sylvan, storm::RationalFunction>(ddManager, this->sylvanMtbdd.AbstractPlusRF(cube.sylvanBdd));
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::minAbstract(InternalBdd<DdType::Sylvan> const& cube) const {
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.AbstractMin(cube.sylvanBdd));
        }
		
		template<typename ValueType>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, ValueType>::minAbstractRepresentative(InternalBdd<DdType::Sylvan> const& cube) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.AbstractMinRepresentative(cube.sylvanBdd));
        }

        template<>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, storm::RationalNumber>::minAbstractRepresentative(InternalBdd<DdType::Sylvan> const& cube) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.AbstractMinRepresentativeRN(cube.sylvanBdd));
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::minAbstract(InternalBdd<DdType::Sylvan> const& cube) const {
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager, this->sylvanMtbdd.AbstractMinRN(cube.sylvanBdd));
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::minAbstract(InternalBdd<DdType::Sylvan> const& cube) const {
            return InternalAdd<DdType::Sylvan, storm::RationalFunction>(ddManager, this->sylvanMtbdd.AbstractMinRF(cube.sylvanBdd));
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::maxAbstract(InternalBdd<DdType::Sylvan> const& cube) const {
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.AbstractMax(cube.sylvanBdd));
        }
		
		template<typename ValueType>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, ValueType>::maxAbstractRepresentative(InternalBdd<DdType::Sylvan> const& cube) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.AbstractMaxRepresentative(cube.sylvanBdd));
        }

        template<>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, storm::RationalNumber>::maxAbstractRepresentative(InternalBdd<DdType::Sylvan> const& cube) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.AbstractMaxRepresentativeRN(cube.sylvanBdd));
        }

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::maxAbstract(InternalBdd<DdType::Sylvan> const& cube) const {
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager, this->sylvanMtbdd.AbstractMaxRN(cube.sylvanBdd));
        }
        
#ifdef STORM_HAVE_CARL
		template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::maxAbstract(InternalBdd<DdType::Sylvan> const& cube) const {
            return InternalAdd<DdType::Sylvan, storm::RationalFunction>(ddManager, this->sylvanMtbdd.AbstractMaxRF(cube.sylvanBdd));
        }
#endif

        template<typename ValueType>
        bool InternalAdd<DdType::Sylvan, ValueType>::equalModuloPrecision(InternalAdd<DdType::Sylvan, ValueType> const& other, ValueType const& precision, bool relative) const {
            if (relative) {
                return this->sylvanMtbdd.EqualNormRel(other.sylvanMtbdd, precision);
            } else {
                return this->sylvanMtbdd.EqualNorm(other.sylvanMtbdd, precision);
            }
        }

#ifdef STORM_HAVE_CARL
        template<>
        bool InternalAdd<DdType::Sylvan, storm::RationalNumber>::equalModuloPrecision(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& other, storm::RationalNumber const& precision, bool relative) const {
            if (relative) {
                return this->sylvanMtbdd.EqualNormRelRN(other.sylvanMtbdd, precision);
            } else {
                return this->sylvanMtbdd.EqualNormRN(other.sylvanMtbdd, precision);
            }
        }
        
        template<>
        bool InternalAdd<DdType::Sylvan, storm::RationalFunction>::equalModuloPrecision(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& other, storm::RationalFunction const& precision, bool relative) const {
            if (relative) {
                return this->sylvanMtbdd.EqualNormRelRF(other.sylvanMtbdd, precision);
            } else {
                return this->sylvanMtbdd.EqualNormRF(other.sylvanMtbdd, precision);
            }
        }
#endif

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::swapVariables(std::vector<InternalBdd<DdType::Sylvan>> const& from, std::vector<InternalBdd<DdType::Sylvan>> const& to) const {
            std::vector<uint32_t> fromIndices;
            std::vector<uint32_t> toIndices;
            for (auto it1 = from.begin(), ite1 = from.end(), it2 = to.begin(); it1 != ite1; ++it1, ++it2) {
                fromIndices.push_back(it1->getIndex());
                fromIndices.push_back(it2->getIndex());
                toIndices.push_back(it2->getIndex());
                toIndices.push_back(it1->getIndex());
            }
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.Permute(fromIndices, toIndices));
        }
        
        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::permuteVariables(std::vector<InternalBdd<DdType::Sylvan>> const& from, std::vector<InternalBdd<DdType::Sylvan>> const& to) const {
            std::vector<uint32_t> fromIndices;
            std::vector<uint32_t> toIndices;
            for (auto it1 = from.begin(), ite1 = from.end(), it2 = to.begin(); it1 != ite1; ++it1, ++it2) {
                fromIndices.push_back(it1->getIndex());
                toIndices.push_back(it2->getIndex());
            }
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.Permute(fromIndices, toIndices));
        }
        
        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::multiplyMatrix(InternalAdd<DdType::Sylvan, ValueType> const& otherMatrix, std::vector<InternalBdd<DdType::Sylvan>> const& summationDdVariables) const {
            InternalBdd<DdType::Sylvan> summationVariables = ddManager->getBddOne();
            for (auto const& ddVariable : summationDdVariables) {
                summationVariables &= ddVariable;
            }
            
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.AndExists(otherMatrix.sylvanMtbdd, summationVariables.getSylvanBdd()));
        }
        
#ifdef STORM_HAVE_CARL
        template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::multiplyMatrix(InternalAdd<DdType::Sylvan, storm::RationalFunction> const& otherMatrix, std::vector<InternalBdd<DdType::Sylvan>> const& summationDdVariables) const {
            InternalBdd<DdType::Sylvan> summationVariables = ddManager->getBddOne();
            for (auto const& ddVariable : summationDdVariables) {
                summationVariables &= ddVariable;
            }
            
            return InternalAdd<DdType::Sylvan, storm::RationalFunction>(ddManager, this->sylvanMtbdd.AndExistsRF(otherMatrix.sylvanMtbdd, summationVariables.getSylvanBdd()));
        }
#endif

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::multiplyMatrix(InternalAdd<DdType::Sylvan, storm::RationalNumber> const& otherMatrix, std::vector<InternalBdd<DdType::Sylvan>> const& summationDdVariables) const {
            InternalBdd<DdType::Sylvan> summationVariables = ddManager->getBddOne();
            for (auto const& ddVariable : summationDdVariables) {
                summationVariables &= ddVariable;
            }
            
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager, this->sylvanMtbdd.AndExistsRN(otherMatrix.sylvanMtbdd, summationVariables.getSylvanBdd()));
        }

        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::multiplyMatrix(InternalBdd<DdType::Sylvan> const& otherMatrix, std::vector<InternalBdd<DdType::Sylvan>> const& summationDdVariables) const {
            InternalBdd<DdType::Sylvan> summationVariables = ddManager->getBddOne();
            for (auto const& ddVariable : summationDdVariables) {
                summationVariables &= ddVariable;
            }
            
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, this->sylvanMtbdd.AndExists(sylvan::Bdd(otherMatrix.getSylvanBdd().GetBDD()), summationVariables.getSylvanBdd()));
        }

#ifdef STORM_HAVE_CARL
        template<>
        InternalAdd<DdType::Sylvan, storm::RationalFunction> InternalAdd<DdType::Sylvan, storm::RationalFunction>::multiplyMatrix(InternalBdd<DdType::Sylvan> const& otherMatrix, std::vector<InternalBdd<DdType::Sylvan>> const& summationDdVariables) const {
            InternalBdd<DdType::Sylvan> summationVariables = ddManager->getBddOne();
            for (auto const& ddVariable : summationDdVariables) {
                summationVariables &= ddVariable;
            }
            
            return InternalAdd<DdType::Sylvan, storm::RationalFunction>(ddManager, this->sylvanMtbdd.AndExistsRF(sylvan::Bdd(otherMatrix.getSylvanBdd().GetBDD()), summationVariables.getSylvanBdd()));
        }
#endif

        template<>
        InternalAdd<DdType::Sylvan, storm::RationalNumber> InternalAdd<DdType::Sylvan, storm::RationalNumber>::multiplyMatrix(InternalBdd<DdType::Sylvan> const& otherMatrix, std::vector<InternalBdd<DdType::Sylvan>> const& summationDdVariables) const {
            InternalBdd<DdType::Sylvan> summationVariables = ddManager->getBddOne();
            for (auto const& ddVariable : summationDdVariables) {
                summationVariables &= ddVariable;
            }
            
            return InternalAdd<DdType::Sylvan, storm::RationalNumber>(ddManager, this->sylvanMtbdd.AndExistsRN(sylvan::Bdd(otherMatrix.getSylvanBdd().GetBDD()), summationVariables.getSylvanBdd()));
        }

        template<typename ValueType>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, ValueType>::greater(ValueType const& value) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.BddStrictThreshold(value));
        }

        template<>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, storm::RationalNumber>::greater(storm::RationalNumber const& value) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.BddStrictThresholdRN(value));
        }

#ifdef STORM_HAVE_CARL
		template<>
		InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, storm::RationalFunction>::greater(storm::RationalFunction const& value) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.BddStrictThresholdRF(value));
		}
#endif
        
        template<typename ValueType>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, ValueType>::greaterOrEqual(ValueType const& value) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.BddThreshold(value));
        }

        template<>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, storm::RationalNumber>::greaterOrEqual(storm::RationalNumber const& value) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.BddThresholdRN(value));
        }
        
#ifdef STORM_HAVE_CARL
		template<>
		InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, storm::RationalFunction>::greaterOrEqual(storm::RationalFunction const& value) const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.BddThresholdRF(value));
		}
#endif

        template<typename ValueType>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, ValueType>::less(ValueType const& value) const {
            return !this->greaterOrEqual(value);
        }
        
        template<typename ValueType>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, ValueType>::lessOrEqual(ValueType const& value) const {
            return !this->greater(value);
        }
        
        template<typename ValueType>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, ValueType>::notZero() const {
            return InternalBdd<DdType::Sylvan>(ddManager, this->sylvanMtbdd.NotZero());
        }
        
        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::constrain(InternalAdd<DdType::Sylvan, ValueType> const&) const {
            STORM_LOG_THROW(false, storm::exceptions::NotImplementedException, "Operation (constrain) not yet implemented.");
        }
        
        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::restrict(InternalAdd<DdType::Sylvan, ValueType> const&) const {
            STORM_LOG_THROW(false, storm::exceptions::NotImplementedException, "Operation (restrict) not yet implemented.");
        }
        
        template<typename ValueType>
        InternalBdd<DdType::Sylvan> InternalAdd<DdType::Sylvan, ValueType>::getSupport() const {
            return InternalBdd<DdType::Sylvan>(ddManager, sylvan::Bdd(static_cast<BDD>(this->sylvanMtbdd.Support().GetMTBDD())));
        }
        
        template<typename ValueType>
        uint_fast64_t InternalAdd<DdType::Sylvan, ValueType>::getNonZeroCount(uint_fast64_t numberOfDdVariables) const {
            if (numberOfDdVariables == 0) {
                return 0;
            }
            return static_cast<uint_fast64_t>(this->sylvanMtbdd.NonZeroCount(numberOfDdVariables));
        }
        
        template<typename ValueType>
        uint_fast64_t InternalAdd<DdType::Sylvan, ValueType>::getLeafCount() const {
            return static_cast<uint_fast64_t>(this->sylvanMtbdd.CountLeaves());
        }
        
        template<typename ValueType>
        uint_fast64_t InternalAdd<DdType::Sylvan, ValueType>::getNodeCount() const {
            return static_cast<uint_fast64_t>(this->sylvanMtbdd.NodeCount());
        }
        
        template<typename ValueType>
        ValueType InternalAdd<DdType::Sylvan, ValueType>::getMin() const {
            return getValue(this->sylvanMtbdd.Minimum().GetMTBDD());
        }

        template <>
        storm::RationalNumber InternalAdd<DdType::Sylvan, storm::RationalNumber>::getMin() const {
            return getValue(this->sylvanMtbdd.MinimumRN().GetMTBDD());
        }
        
#ifdef STORM_HAVE_CARL
        template <>
        storm::RationalFunction InternalAdd<DdType::Sylvan, storm::RationalFunction>::getMin() const {
            return getValue(this->sylvanMtbdd.MinimumRF().GetMTBDD());
        }
#endif
        
        template<typename ValueType>
        ValueType InternalAdd<DdType::Sylvan, ValueType>::getMax() const {
            return getValue(this->sylvanMtbdd.Maximum().GetMTBDD());
        }

        template<>
        storm::RationalNumber InternalAdd<DdType::Sylvan, storm::RationalNumber>::getMax() const {
            return getValue(this->sylvanMtbdd.MaximumRN().GetMTBDD());
        }
        
#ifdef STORM_HAVE_CARL
        template<>
        storm::RationalFunction InternalAdd<DdType::Sylvan, storm::RationalFunction>::getMax() const {
            return getValue(this->sylvanMtbdd.MaximumRF().GetMTBDD());
        }
#endif
        
        template<typename ValueType>
        ValueType InternalAdd<DdType::Sylvan, ValueType>::getValue() const {
            return getValue(this->sylvanMtbdd.GetMTBDD());
        }
        
        template<typename ValueType>
        bool InternalAdd<DdType::Sylvan, ValueType>::isOne() const {
            return *this == ddManager->getAddOne<ValueType>();
        }
        
        template<typename ValueType>
        bool InternalAdd<DdType::Sylvan, ValueType>::isZero() const {
            return *this == ddManager->getAddZero<ValueType>();
        }
        
        template<typename ValueType>
        bool InternalAdd<DdType::Sylvan, ValueType>::isConstant() const {
            return this->sylvanMtbdd.isTerminal();
        }
        
        template<typename ValueType>
        uint_fast64_t InternalAdd<DdType::Sylvan, ValueType>::getIndex() const {
            return static_cast<uint_fast64_t>(this->sylvanMtbdd.TopVar());
        }
        
        template<typename ValueType>
        uint_fast64_t InternalAdd<DdType::Sylvan, ValueType>::getLevel() const {
            return this->getIndex();
        }
        
        template<typename ValueType>
        void InternalAdd<DdType::Sylvan, ValueType>::exportToDot(std::string const& filename, std::vector<std::string> const&, bool) const {
            // Open the file, dump the DD and close it again.
            FILE* filePointer = fopen(filename.c_str() , "a+");
            this->sylvanMtbdd.PrintDot(filePointer);
            fclose(filePointer);
        }

        template<typename ValueType>
        void InternalAdd<DdType::Sylvan, ValueType>::exportToText(std::string const& filename) const {
            // Open the file, dump the DD and close it again.
            FILE* filePointer = fopen(filename.c_str() , "a+");
            this->sylvanMtbdd.PrintText(filePointer);
            fclose(filePointer);
        }
        
        template<typename ValueType>
        AddIterator<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::begin(DdManager<DdType::Sylvan> const& fullDdManager, InternalBdd<DdType::Sylvan> const& variableCube, uint_fast64_t numberOfDdVariables, std::set<storm::expressions::Variable> const& metaVariables, bool enumerateDontCareMetaVariables) const {
            return AddIterator<DdType::Sylvan, ValueType>::createBeginIterator(fullDdManager, this->getSylvanMtbdd(), variableCube.getSylvanBdd(), numberOfDdVariables, &metaVariables, enumerateDontCareMetaVariables);
        }
        
        template<typename ValueType>
        AddIterator<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::end(DdManager<DdType::Sylvan> const& fullDdManager) const {
            return AddIterator<DdType::Sylvan, ValueType>::createEndIterator(fullDdManager);
        }
        
        template<typename ValueType>
        Odd InternalAdd<DdType::Sylvan, ValueType>::createOdd(std::vector<uint_fast64_t> const& ddVariableIndices) const {
            // Prepare a unique table for each level that keeps the constructed ODD nodes unique.
            std::vector<std::unordered_map<BDD, std::shared_ptr<Odd>>> uniqueTableForLevels(ddVariableIndices.size() + 1);
            
            // Now construct the ODD structure from the ADD.
            std::shared_ptr<Odd> rootOdd = createOddRec(mtbdd_regular(this->getSylvanMtbdd().GetMTBDD()), 0, ddVariableIndices.size(), ddVariableIndices, uniqueTableForLevels);
            
            // Return a copy of the root node to remove the shared_ptr encapsulation.
            return Odd(*rootOdd);
        }
        
        template<typename ValueType>
        std::shared_ptr<Odd> InternalAdd<DdType::Sylvan, ValueType>::createOddRec(BDD dd, uint_fast64_t currentLevel, uint_fast64_t maxLevel, std::vector<uint_fast64_t> const& ddVariableIndices, std::vector<std::unordered_map<BDD, std::shared_ptr<Odd>>>& uniqueTableForLevels) {
            // Check whether the ODD for this node has already been computed (for this level) and if so, return this instead.
            auto const& iterator = uniqueTableForLevels[currentLevel].find(dd);
            if (iterator != uniqueTableForLevels[currentLevel].end()) {
                return iterator->second;
            } else {
                // Otherwise, we need to recursively compute the ODD.
                
                // If we are already past the maximal level that is to be considered, we can simply create an Odd without
                // successors
                if (currentLevel == maxLevel) {
                    uint_fast64_t elseOffset = 0;
                    uint_fast64_t thenOffset = 0;
                    
                    STORM_LOG_ASSERT(mtbdd_isleaf(dd), "Expected leaf at last level.");
                    
                    // If the DD is not the zero leaf, then the then-offset is 1.
                    if (!mtbdd_iszero(dd)) {
                        thenOffset = 1;
                    }

                    auto oddNode = std::make_shared<Odd>(nullptr, elseOffset, nullptr, thenOffset);
                    uniqueTableForLevels[currentLevel].emplace(dd, oddNode);
                    return oddNode;
                } else if (mtbdd_isleaf(dd) || ddVariableIndices[currentLevel] < mtbdd_getvar(dd)) {
                    // If we skipped the level in the DD, we compute the ODD just for the else-successor and use the same
                    // node for the then-successor as well.
                    std::shared_ptr<Odd> elseNode = createOddRec(dd, currentLevel + 1, maxLevel, ddVariableIndices, uniqueTableForLevels);
                    std::shared_ptr<Odd> thenNode = elseNode;
                    auto oddNode = std::make_shared<Odd>(elseNode, elseNode->getElseOffset() + elseNode->getThenOffset(), thenNode, thenNode->getElseOffset() + thenNode->getThenOffset());
                    uniqueTableForLevels[currentLevel].emplace(dd, oddNode);
                    return oddNode;
                } else {
                    // Otherwise, we compute the ODDs for both the then- and else successors.
                    std::shared_ptr<Odd> elseNode = createOddRec(mtbdd_regular(mtbdd_getlow(dd)), currentLevel + 1, maxLevel, ddVariableIndices, uniqueTableForLevels);
                    std::shared_ptr<Odd> thenNode = createOddRec(mtbdd_regular(mtbdd_gethigh(dd)), currentLevel + 1, maxLevel, ddVariableIndices, uniqueTableForLevels);
                    
                    uint_fast64_t totalElseOffset = elseNode->getElseOffset() + elseNode->getThenOffset();
                    uint_fast64_t totalThenOffset = thenNode->getElseOffset() + thenNode->getThenOffset();
                    
                    auto oddNode = std::make_shared<Odd>(elseNode, totalElseOffset, thenNode, totalThenOffset);
                    uniqueTableForLevels[currentLevel].emplace(dd, oddNode);
                    return oddNode;
                }
            }
        }
        
        template<typename ValueType>
        InternalDdManager<DdType::Sylvan> const& InternalAdd<DdType::Sylvan, ValueType>::getInternalDdManager() const {
            return *ddManager;
        }
        
        template<typename ValueType>
        void InternalAdd<DdType::Sylvan, ValueType>::composeWithExplicitVector(storm::dd::Odd const& odd, std::vector<uint_fast64_t> const& ddVariableIndices, std::vector<ValueType>& targetVector, std::function<ValueType (ValueType const&, ValueType const&)> const& function) const {
            forEachRec(this->getSylvanMtbdd().GetMTBDD(), 0, ddVariableIndices.size(), 0, odd, ddVariableIndices, [&function, &targetVector] (uint64_t const& offset, ValueType const& value) { targetVector[offset] = function(targetVector[offset], value); });
        }
        
        template<typename ValueType>
        void InternalAdd<DdType::Sylvan, ValueType>::composeWithExplicitVector(storm::dd::Odd const& odd, std::vector<uint_fast64_t> const& ddVariableIndices, std::vector<uint_fast64_t> const& offsets, std::vector<ValueType>& targetVector, std::function<ValueType (ValueType const&, ValueType const&)> const& function) const {
            forEachRec(this->getSylvanMtbdd().GetMTBDD(), 0, ddVariableIndices.size(), 0, odd, ddVariableIndices,  [&function, &targetVector, &offsets] (uint64_t const& offset, ValueType const& value) {
                ValueType& targetValue = targetVector[offsets[offset]];
                targetValue = function(targetValue, value);
            });
        }
        
        template<typename ValueType>
        void InternalAdd<DdType::Sylvan, ValueType>::forEach(Odd const& odd, std::vector<uint_fast64_t> const& ddVariableIndices, std::function<void (uint64_t const&, ValueType const&)> const& function) const {
            forEachRec(this->getSylvanMtbdd().GetMTBDD(), 0, ddVariableIndices.size(), 0, odd, ddVariableIndices, function);
        }
        
        template<typename ValueType>
        void InternalAdd<DdType::Sylvan, ValueType>::forEachRec(MTBDD dd, uint_fast64_t currentLevel, uint_fast64_t maxLevel, uint_fast64_t currentOffset, Odd const& odd, std::vector<uint_fast64_t> const& ddVariableIndices, std::function<void (uint64_t const&, ValueType const&)> const& function) const {
            // For the empty DD, we do not need to add any entries.
            if (mtbdd_isleaf(dd) && mtbdd_iszero(dd)) {
                return;
            }
            
            // If we are at the maximal level, the value to be set is stored as a constant in the DD.
            if (currentLevel == maxLevel) {
                function(currentOffset, getValue(dd));
            } else if (mtbdd_isleaf(dd) || ddVariableIndices[currentLevel] < mtbdd_getvar(dd)) {
                // If we skipped a level, we need to enumerate the explicit entries for the case in which the bit is set
                // and for the one in which it is not set.
                forEachRec(dd, currentLevel + 1, maxLevel, currentOffset, odd.getElseSuccessor(), ddVariableIndices, function);
                forEachRec(dd, currentLevel + 1, maxLevel, currentOffset + odd.getElseOffset(), odd.getThenSuccessor(), ddVariableIndices, function);
            } else {
                // Otherwise, we simply recursively call the function for both (different) cases.
                MTBDD thenNode = mtbdd_gethigh(dd);
                MTBDD elseNode = mtbdd_getlow(dd);
                
                forEachRec(elseNode, currentLevel + 1, maxLevel, currentOffset, odd.getElseSuccessor(), ddVariableIndices, function);
                forEachRec(thenNode, currentLevel + 1, maxLevel, currentOffset + odd.getElseOffset(), odd.getThenSuccessor(), ddVariableIndices, function);
            }
        }
        
        template<typename ValueType>
        std::vector<uint64_t> InternalAdd<DdType::Sylvan, ValueType>::decodeGroupLabels(std::vector<uint_fast64_t> const& ddGroupVariableIndices, storm::storage::BitVector const& ddLabelVariableIndices) const {
            std::vector<uint64_t> result;
            decodeGroupLabelsRec(mtbdd_regular(this->getSylvanMtbdd().GetMTBDD()), result, ddGroupVariableIndices, ddLabelVariableIndices, 0, ddGroupVariableIndices.size(), 0);
            return result;
        }
        
        template<typename ValueType>
        void InternalAdd<DdType::Sylvan, ValueType>::decodeGroupLabelsRec(MTBDD dd, std::vector<uint64_t>& labels, std::vector<uint_fast64_t> const& ddGroupVariableIndices, storm::storage::BitVector const& ddLabelVariableIndices, uint_fast64_t currentLevel, uint_fast64_t maxLevel, uint64_t label) const {
            // For the empty DD, we do not need to create a group.
            if (mtbdd_isleaf(dd) && mtbdd_iszero(dd)) {
                return;
            }

            if (currentLevel == maxLevel) {
                labels.push_back(label);
            } else {
                uint64_t elseLabel = label;
                uint64_t thenLabel = label;
                
                if (ddLabelVariableIndices.get(currentLevel)) {
                    elseLabel <<= 1;
                    thenLabel = (thenLabel << 1) | 1;
                }
                
                if (mtbdd_isleaf(dd) || ddGroupVariableIndices[currentLevel] < mtbdd_getvar(dd)) {
                    decodeGroupLabelsRec(dd, labels, ddGroupVariableIndices, ddLabelVariableIndices, currentLevel + 1, maxLevel, elseLabel);
                    decodeGroupLabelsRec(dd, labels, ddGroupVariableIndices, ddLabelVariableIndices, currentLevel + 1, maxLevel, thenLabel);
                } else {
                    // Otherwise, we compute the ODDs for both the then- and else successors.
                    MTBDD thenDdNode = mtbdd_gethigh(dd);
                    MTBDD elseDdNode = mtbdd_getlow(dd);
                    
                    decodeGroupLabelsRec(mtbdd_regular(elseDdNode), labels, ddGroupVariableIndices, ddLabelVariableIndices, currentLevel + 1, maxLevel, elseLabel);
                    decodeGroupLabelsRec(mtbdd_regular(thenDdNode), labels, ddGroupVariableIndices, ddLabelVariableIndices, currentLevel + 1, maxLevel, thenLabel);
                }
            }
        }
        
        template<typename ValueType>
        std::vector<InternalAdd<DdType::Sylvan, ValueType>> InternalAdd<DdType::Sylvan, ValueType>::splitIntoGroups(std::vector<uint_fast64_t> const& ddGroupVariableIndices) const {
            std::vector<InternalAdd<DdType::Sylvan, ValueType>> result;
            splitIntoGroupsRec(mtbdd_regular(this->getSylvanMtbdd().GetMTBDD()), mtbdd_hascomp(this->getSylvanMtbdd().GetMTBDD()), result, ddGroupVariableIndices, 0, ddGroupVariableIndices.size());
            return result;
        }
        
        template<typename ValueType>
        std::vector<std::pair<InternalAdd<DdType::Sylvan, ValueType>, InternalAdd<DdType::Sylvan, ValueType>>> InternalAdd<DdType::Sylvan, ValueType>::splitIntoGroups(InternalAdd<DdType::Sylvan, ValueType> vector, std::vector<uint_fast64_t> const& ddGroupVariableIndices) const {
            std::vector<std::pair<InternalAdd<DdType::Sylvan, ValueType>, InternalAdd<DdType::Sylvan, ValueType>>> result;
            splitIntoGroupsRec(mtbdd_regular(this->getSylvanMtbdd().GetMTBDD()), mtbdd_hascomp(this->getSylvanMtbdd().GetMTBDD()), mtbdd_regular(vector.getSylvanMtbdd().GetMTBDD()), mtbdd_hascomp(vector.getSylvanMtbdd().GetMTBDD()), result, ddGroupVariableIndices, 0, ddGroupVariableIndices.size());
            return result;
        }
        
        template<typename ValueType>
        void InternalAdd<DdType::Sylvan, ValueType>::splitIntoGroupsRec(MTBDD dd, bool negated, std::vector<InternalAdd<DdType::Sylvan, ValueType>>& groups, std::vector<uint_fast64_t> const& ddGroupVariableIndices, uint_fast64_t currentLevel, uint_fast64_t maxLevel) const {
            // For the empty DD, we do not need to create a group.
            if (mtbdd_isleaf(dd) && mtbdd_iszero(dd)) {
                return;
            }
            
            if (currentLevel == maxLevel) {
                groups.push_back(InternalAdd<DdType::Sylvan, ValueType>(ddManager, negated ? sylvan::Mtbdd(dd).Negate() : sylvan::Mtbdd(dd)));
            } else if (mtbdd_isleaf(dd) || ddGroupVariableIndices[currentLevel] < mtbdd_getvar(dd)) {
                splitIntoGroupsRec(dd, negated, groups, ddGroupVariableIndices, currentLevel + 1, maxLevel);
                splitIntoGroupsRec(dd, negated, groups, ddGroupVariableIndices, currentLevel + 1, maxLevel);
            } else {
                // Otherwise, we compute the ODDs for both the then- and else successors.
                MTBDD thenDdNode = mtbdd_gethigh(dd);
                MTBDD elseDdNode = mtbdd_getlow(dd);
                
                // Determine whether we have to evaluate the successors as if they were complemented.
                bool elseComplemented = mtbdd_hascomp(elseDdNode) ^ negated;
                bool thenComplemented = mtbdd_hascomp(thenDdNode) ^ negated;
                
                // FIXME: We first traverse the else successor (unlike other variants of this method).
                // Otherwise, the GameBasedMdpModelCheckerTest would not terminate. See github issue #64
                splitIntoGroupsRec(mtbdd_regular(elseDdNode), elseComplemented, groups, ddGroupVariableIndices, currentLevel + 1, maxLevel);
                splitIntoGroupsRec(mtbdd_regular(thenDdNode), thenComplemented, groups, ddGroupVariableIndices, currentLevel + 1, maxLevel);
            }
        }

        template<typename ValueType>
        void InternalAdd<DdType::Sylvan, ValueType>::splitIntoGroupsRec(MTBDD dd1, bool negated1, MTBDD dd2, bool negated2, std::vector<std::pair<InternalAdd<DdType::Sylvan, ValueType>, InternalAdd<DdType::Sylvan, ValueType>>>& groups, std::vector<uint_fast64_t> const& ddGroupVariableIndices, uint_fast64_t currentLevel, uint_fast64_t maxLevel) const {
            // For the empty DD, we do not need to create a group.
            if (mtbdd_isleaf(dd1) && mtbdd_isleaf(dd2) && mtbdd_iszero(dd1) && mtbdd_iszero(dd2)) {
                return;
            }
            
            if (currentLevel == maxLevel) {
                groups.push_back(std::make_pair(InternalAdd<DdType::Sylvan, ValueType>(ddManager, negated1 ? sylvan::Mtbdd(dd1).Negate() : sylvan::Mtbdd(dd1)), InternalAdd<DdType::Sylvan, ValueType>(ddManager, negated2 ? sylvan::Mtbdd(dd2).Negate() : sylvan::Mtbdd(dd2))));
            } else if (mtbdd_isleaf(dd1) || ddGroupVariableIndices[currentLevel] < mtbdd_getvar(dd1)) {
                if (mtbdd_isleaf(dd2) || ddGroupVariableIndices[currentLevel] < mtbdd_getvar(dd2)) {
                    splitIntoGroupsRec(dd1, negated1, dd2, negated2, groups, ddGroupVariableIndices, currentLevel + 1, maxLevel);
                    splitIntoGroupsRec(dd1, negated1, dd2, negated2, groups, ddGroupVariableIndices, currentLevel + 1, maxLevel);
                } else {
                    MTBDD dd2ThenNode = mtbdd_gethigh(dd2);
                    MTBDD dd2ElseNode = mtbdd_getlow(dd2);
                    
                    // Determine whether we have to evaluate the successors as if they were complemented.
                    bool elseComplemented = mtbdd_hascomp(dd2ElseNode) ^ negated2;
                    bool thenComplemented = mtbdd_hascomp(dd2ThenNode) ^ negated2;
                    
                    splitIntoGroupsRec(dd1, negated1, mtbdd_regular(dd2ThenNode), thenComplemented, groups, ddGroupVariableIndices, currentLevel + 1, maxLevel);
                    splitIntoGroupsRec(dd1, negated1, mtbdd_regular(dd2ElseNode), elseComplemented, groups, ddGroupVariableIndices, currentLevel + 1, maxLevel);
                }
            } else if (mtbdd_isleaf(dd2) || ddGroupVariableIndices[currentLevel] < mtbdd_getvar(dd2)) {
                MTBDD dd1ThenNode = mtbdd_gethigh(dd1);
                MTBDD dd1ElseNode = mtbdd_getlow(dd1);
                
                // Determine whether we have to evaluate the successors as if they were complemented.
                bool elseComplemented = mtbdd_hascomp(dd1ElseNode) ^ negated1;
                bool thenComplemented = mtbdd_hascomp(dd1ThenNode) ^ negated1;

                splitIntoGroupsRec(mtbdd_regular(dd1ThenNode), thenComplemented, dd2, negated2, groups, ddGroupVariableIndices, currentLevel + 1, maxLevel);
                splitIntoGroupsRec(mtbdd_regular(dd1ElseNode), elseComplemented, dd2, negated2, groups, ddGroupVariableIndices, currentLevel + 1, maxLevel);
            } else {
                MTBDD dd1ThenNode = mtbdd_gethigh(dd1);
                MTBDD dd1ElseNode = mtbdd_getlow(dd1);
                MTBDD dd2ThenNode = mtbdd_gethigh(dd2);
                MTBDD dd2ElseNode = mtbdd_getlow(dd2);
                
                // Determine whether we have to evaluate the successors as if they were complemented.
                bool dd1ElseComplemented = mtbdd_hascomp(dd1ElseNode) ^ negated1;
                bool dd1ThenComplemented = mtbdd_hascomp(dd1ThenNode) ^ negated1;
                bool dd2ElseComplemented = mtbdd_hascomp(dd2ElseNode) ^ negated2;
                bool dd2ThenComplemented = mtbdd_hascomp(dd2ThenNode) ^ negated2;
                
                splitIntoGroupsRec(mtbdd_regular(dd1ThenNode), dd1ThenComplemented, mtbdd_regular(dd2ThenNode), dd2ThenComplemented, groups, ddGroupVariableIndices, currentLevel + 1, maxLevel);
                splitIntoGroupsRec(mtbdd_regular(dd1ElseNode), dd1ElseComplemented, mtbdd_regular(dd2ElseNode), dd2ElseComplemented, groups, ddGroupVariableIndices, currentLevel + 1, maxLevel);
            }
        }
        
        template<typename ValueType>
        void InternalAdd<DdType::Sylvan, ValueType>::toMatrixComponents(std::vector<uint_fast64_t> const& rowGroupIndices, std::vector<uint_fast64_t>& rowIndications, std::vector<storm::storage::MatrixEntry<uint_fast64_t, ValueType>>& columnsAndValues, Odd const& rowOdd, Odd const& columnOdd, std::vector<uint_fast64_t> const& ddRowVariableIndices, std::vector<uint_fast64_t> const& ddColumnVariableIndices, bool writeValues) const {
            return toMatrixComponentsRec(mtbdd_regular(this->getSylvanMtbdd().GetMTBDD()), mtbdd_hascomp(this->getSylvanMtbdd().GetMTBDD()), rowGroupIndices, rowIndications, columnsAndValues, rowOdd, columnOdd, 0, 0, ddRowVariableIndices.size() + ddColumnVariableIndices.size(), 0, 0, ddRowVariableIndices, ddColumnVariableIndices, writeValues);
        }
        
        template<typename ValueType>
        void InternalAdd<DdType::Sylvan, ValueType>::toMatrixComponentsRec(MTBDD dd, bool negated, std::vector<uint_fast64_t> const& rowGroupOffsets, std::vector<uint_fast64_t>& rowIndications, std::vector<storm::storage::MatrixEntry<uint_fast64_t, ValueType>>& columnsAndValues, Odd const& rowOdd, Odd const& columnOdd, uint_fast64_t currentRowLevel, uint_fast64_t currentColumnLevel, uint_fast64_t maxLevel, uint_fast64_t currentRowOffset, uint_fast64_t currentColumnOffset, std::vector<uint_fast64_t> const& ddRowVariableIndices, std::vector<uint_fast64_t> const& ddColumnVariableIndices, bool generateValues) const {
            // For the empty DD, we do not need to add any entries.
            if (mtbdd_isleaf(dd) && mtbdd_iszero(dd)) {
                return;
            }
            
            // If we are at the maximal level, the value to be set is stored as a constant in the DD.
            if (currentRowLevel + currentColumnLevel == maxLevel) {
                if (generateValues) {
                    columnsAndValues[rowIndications[rowGroupOffsets[currentRowOffset]]] = storm::storage::MatrixEntry<uint_fast64_t, ValueType>(currentColumnOffset, negated ? -getValue(dd) : getValue(dd));
                }
                ++rowIndications[rowGroupOffsets[currentRowOffset]];
            } else {
                MTBDD elseElse;
                MTBDD elseThen;
                MTBDD thenElse;
                MTBDD thenThen;
                
                if (mtbdd_isleaf(dd) || ddColumnVariableIndices[currentColumnLevel] < mtbdd_getvar(dd)) {
                    elseElse = elseThen = thenElse = thenThen = dd;
                } else if (ddRowVariableIndices[currentColumnLevel] < mtbdd_getvar(dd)) {
                    elseElse = thenElse = mtbdd_getlow(dd);
                    elseThen = thenThen = mtbdd_gethigh(dd);
                } else {
                    MTBDD elseNode = mtbdd_getlow(dd);
                    if (mtbdd_isleaf(elseNode) || ddColumnVariableIndices[currentColumnLevel] < mtbdd_getvar(elseNode)) {
                        elseElse = elseThen = elseNode;
                    } else {
                        elseElse = mtbdd_getlow(elseNode);
                        elseThen = mtbdd_gethigh(elseNode);
                    }
                    
                    MTBDD thenNode = mtbdd_gethigh(dd);
                    if (mtbdd_isleaf(thenNode) || ddColumnVariableIndices[currentColumnLevel] < mtbdd_getvar(thenNode)) {
                        thenElse = thenThen = thenNode;
                    } else {
                        thenElse = mtbdd_getlow(thenNode);
                        thenThen = mtbdd_gethigh(thenNode);
                    }
                }
                
                // Visit else-else.
                toMatrixComponentsRec(mtbdd_regular(elseElse), mtbdd_hascomp(elseElse) ^ negated, rowGroupOffsets, rowIndications, columnsAndValues, rowOdd.getElseSuccessor(), columnOdd.getElseSuccessor(), currentRowLevel + 1, currentColumnLevel + 1, maxLevel, currentRowOffset, currentColumnOffset, ddRowVariableIndices, ddColumnVariableIndices, generateValues);
                // Visit else-then.
                toMatrixComponentsRec(mtbdd_regular(elseThen), mtbdd_hascomp(elseThen) ^ negated, rowGroupOffsets, rowIndications, columnsAndValues, rowOdd.getElseSuccessor(), columnOdd.getThenSuccessor(), currentRowLevel + 1, currentColumnLevel + 1, maxLevel, currentRowOffset, currentColumnOffset + columnOdd.getElseOffset(), ddRowVariableIndices, ddColumnVariableIndices, generateValues);
                // Visit then-else.
                toMatrixComponentsRec(mtbdd_regular(thenElse), mtbdd_hascomp(thenElse) ^ negated, rowGroupOffsets, rowIndications, columnsAndValues, rowOdd.getThenSuccessor(), columnOdd.getElseSuccessor(), currentRowLevel + 1, currentColumnLevel + 1, maxLevel, currentRowOffset + rowOdd.getElseOffset(), currentColumnOffset, ddRowVariableIndices, ddColumnVariableIndices, generateValues);
                // Visit then-then.
                toMatrixComponentsRec(mtbdd_regular(thenThen), mtbdd_hascomp(thenThen) ^ negated, rowGroupOffsets, rowIndications, columnsAndValues, rowOdd.getThenSuccessor(), columnOdd.getThenSuccessor(), currentRowLevel + 1, currentColumnLevel + 1, maxLevel, currentRowOffset + rowOdd.getElseOffset(), currentColumnOffset + columnOdd.getElseOffset(), ddRowVariableIndices, ddColumnVariableIndices, generateValues);
            }
        }
        
        template<typename ValueType>
        InternalAdd<DdType::Sylvan, ValueType> InternalAdd<DdType::Sylvan, ValueType>::fromVector(InternalDdManager<DdType::Sylvan> const* ddManager, std::vector<ValueType> const& values, storm::dd::Odd const& odd, std::vector<uint_fast64_t> const& ddVariableIndices) {
            uint_fast64_t offset = 0;
            return InternalAdd<DdType::Sylvan, ValueType>(ddManager, sylvan::Mtbdd(fromVectorRec(offset, 0, ddVariableIndices.size(), values, odd, ddVariableIndices)));
        }
        
        template<typename ValueType>
        MTBDD InternalAdd<DdType::Sylvan, ValueType>::fromVectorRec(uint_fast64_t& currentOffset, uint_fast64_t currentLevel, uint_fast64_t maxLevel, std::vector<ValueType> const& values, Odd const& odd, std::vector<uint_fast64_t> const& ddVariableIndices) {
            if (currentLevel == maxLevel) {
                // If we are in a terminal node of the ODD, we need to check whether the then-offset of the ODD is one
                // (meaning the encoding is a valid one) or zero (meaning the encoding is not valid). Consequently, we
                // need to copy the next value of the vector iff the then-offset is greater than zero.
                if (odd.getThenOffset() > 0) {
                    return getLeaf(values[currentOffset++]);
                } else {
                    return getLeaf(storm::utility::zero<ValueType>());
                }
            } else {
                // If the total offset is zero, we can just return the constant zero DD.
                if (odd.getThenOffset() + odd.getElseOffset() == 0) {
                    return getLeaf(storm::utility::zero<ValueType>());
                }
                
                // Determine the new else-successor.
                MTBDD elseSuccessor;
                if (odd.getElseOffset() > 0) {
                    elseSuccessor = fromVectorRec(currentOffset, currentLevel + 1, maxLevel, values, odd.getElseSuccessor(), ddVariableIndices);
                } else {
                    elseSuccessor = getLeaf(storm::utility::zero<ValueType>());
                }
                mtbdd_refs_push(elseSuccessor);
                
                // Determine the new then-successor.
                MTBDD thenSuccessor;
                if (odd.getThenOffset() > 0) {
                    thenSuccessor = fromVectorRec(currentOffset, currentLevel + 1, maxLevel, values, odd.getThenSuccessor(), ddVariableIndices);
                } else {
                    thenSuccessor = getLeaf(storm::utility::zero<ValueType>());
                }
                mtbdd_refs_push(thenSuccessor);
                
                // Create a node representing ITE(currentVar, thenSuccessor, elseSuccessor);
                MTBDD currentVar = mtbdd_makenode(ddVariableIndices[currentLevel], mtbdd_false, mtbdd_true);
                mtbdd_refs_push(thenSuccessor);
                LACE_ME;
                MTBDD result = mtbdd_ite(currentVar, thenSuccessor, elseSuccessor);
                
                // Dispose of the intermediate results
                mtbdd_refs_pop(3);
                
                return result;
            }
        }
        
        template<typename ValueType>
        MTBDD InternalAdd<DdType::Sylvan, ValueType>::getLeaf(double value) {
            return mtbdd_double(value);
        }
        
        template<typename ValueType>
        MTBDD InternalAdd<DdType::Sylvan, ValueType>::getLeaf(uint_fast64_t value) {
            return mtbdd_int64(value);
        }

		template<typename ValueType>
		MTBDD InternalAdd<DdType::Sylvan, ValueType>::getLeaf(storm::RationalFunction const& value) {
			storm_rational_function_ptr ptr = (storm_rational_function_ptr)(&value);
			return mtbdd_storm_rational_function(ptr);
		}

        template<typename ValueType>
        MTBDD InternalAdd<DdType::Sylvan, ValueType>::getLeaf(storm::RationalNumber const& value) {
            storm_rational_function_ptr ptr = (storm_rational_number_ptr)(&value);
            return mtbdd_storm_rational_number(ptr);
        }

        template<typename ValueType>
        sylvan::Mtbdd InternalAdd<DdType::Sylvan, ValueType>::getSylvanMtbdd() const {
            return sylvanMtbdd;
        }
        
        template<typename ValueType>
        std::string InternalAdd<DdType::Sylvan, ValueType>::getStringId() const {
            std::stringstream ss;
            ss << this->getSylvanMtbdd().GetMTBDD();
            return ss.str();
        }
        
        template class InternalAdd<DdType::Sylvan, double>;
        template class InternalAdd<DdType::Sylvan, uint_fast64_t>;

        template class InternalAdd<DdType::Sylvan, storm::RationalNumber>;

#ifdef STORM_HAVE_CARL
		template class InternalAdd<DdType::Sylvan, storm::RationalFunction>;
#endif
    }
}