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restructured code, SCC missing

tempestpy_adaptions
Timo Philipp Gros 7 years ago
parent
00e0997850
commit
0d1de8aba9
2 changed files with 76 additions and 255 deletions
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  1. 303
      src/storm/modelchecker/csl/helper/SparseMarkovAutomatonCslHelper.cpp
  2. 28
      src/storm/modelchecker/csl/helper/SparseMarkovAutomatonCslHelper.h

303
src/storm/modelchecker/csl/helper/SparseMarkovAutomatonCslHelper.cpp
View File

@ -158,70 +158,13 @@ namespace storm {
STORM_LOG_THROW(false, storm::exceptions::InvalidOperationException, "Computing bounded reachability probabilities is unsupported for this value type.");
}
template<typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type>
void SparseMarkovAutomatonCslHelper::printTransitions(const uint64_t N, ValueType const diff,
storm::storage::SparseMatrix<ValueType> const &fullTransitionMatrix,
std::vector<ValueType> const &exitRateVector, storm::storage::BitVector const &markovianStates,
storm::storage::BitVector const &psiStates, std::vector<std::vector<ValueType>> relReachability,
const storage::BitVector &cycleStates, const storage::BitVector &cycleGoalStates,
std::vector<std::vector<std::vector<ValueType>>> &unifVectors, std::ofstream& logfile) {
auto const& rowGroupIndices = fullTransitionMatrix.getRowGroupIndices();
auto numberOfStates = fullTransitionMatrix.getRowGroupCount();
//Transition Matrix
logfile << "number of states = num of row group count " << numberOfStates << "\n";
for (uint_fast64_t i = 0; i < fullTransitionMatrix.getRowGroupCount(); i++) {
logfile << " from node " << i << " ";
auto from = rowGroupIndices[i];
auto to = rowGroupIndices[i+1];
for (auto j = from ; j < to; j++){
for (auto &v : fullTransitionMatrix.getRow(j)) {
if (markovianStates[i]){
logfile << v.getValue() *exitRateVector[i] << " -> "<< v.getColumn() << "\t";
} else {
logfile << v.getValue() << " -> "<< v.getColumn() << "\t";
}
}
logfile << "\n";
}
}
logfile << "\n";
logfile << "probStates\tmarkovianStates\tgoalStates\tcycleStates\tcycleGoalStates\n";
for (int i =0 ; i< markovianStates.size() ; i++){
logfile << (~markovianStates)[i] << "\t\t" << markovianStates[i] << "\t\t" << psiStates[i] << "\t\t" << cycleStates[i] << "\t\t" << cycleGoalStates[i] << "\n";
}
logfile << "Iteration for N = " << N << " maximal difference was " << diff << "\n";
logfile << "vd: \n";
for (uint64_t i =0 ; i<unifVectors[0].size(); i++){
for(uint64_t j=0; j<unifVectors[0][i].size(); j++){
logfile << unifVectors[0][i][j] << "\t" ;
}
logfile << "\n";
}
logfile << "\nvu:\n";
for (uint64_t i =0 ; i<unifVectors[1].size(); i++){
for(uint64_t j=0; j<unifVectors[1][i].size(); j++){
logfile << unifVectors[1][i][j] << "\t" ;
}
logfile << "\n";
}
logfile << "\nwu\n";
for (uint64_t i =0 ; i<unifVectors[2].size(); i++){
for(uint64_t j=0; j<unifVectors[2][i].size(); j++){
logfile << unifVectors[2][i][j] << "\t" ;
}
logfile << "\n";
}
}
template <typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type>
void SparseMarkovAutomatonCslHelper::calculateVu(Environment const& env, std::vector<std::vector<ValueType>> const& relativeReachability, OptimizationDirection dir, uint64_t k, uint64_t node, uint64_t const kind, ValueType lambda, uint64_t probSize, std::vector<std::vector<std::vector<ValueType>>>& unifVectors, storm::storage::SparseMatrix<ValueType> const& fullTransitionMatrix, storm::storage::BitVector const& markovianStates, storm::storage::BitVector const& psiStates, std::unique_ptr<storm::solver::MinMaxLinearEquationSolver<ValueType>> const& solver, std::ofstream& logfile, storm::utility::numerical::FoxGlynnResult<ValueType> const & poisson){
void SparseMarkovAutomatonCslHelper::calculateVu(Environment const& env, std::vector<std::vector<ValueType>> const& relativeReachability, OptimizationDirection dir,
uint64_t k, uint64_t node, uint64_t const kind, ValueType lambda, uint64_t probSize,
std::vector<std::vector<std::vector<ValueType>>>& unifVectors, storm::storage::SparseMatrix<ValueType> const& fullTransitionMatrix,
storm::storage::BitVector const& markovianStates, storm::storage::BitVector const& psiStates,
std::unique_ptr<storm::solver::MinMaxLinearEquationSolver<ValueType>> const& solver, std::ofstream& logfile,
storm::utility::numerical::FoxGlynnResult<ValueType> const & poisson, bool cycleFree){
if (unifVectors[1][k][node]!=-1){return;} //dynamic programming. avoiding multiple calculation.
uint64_t N = unifVectors[1].size()-1;
auto const& rowGroupIndices = fullTransitionMatrix.getRowGroupIndices();
@ -229,7 +172,7 @@ namespace storm {
ValueType res =0;
for (uint64_t i = k ; i < N ; i++ ){
if (unifVectors[2][N-1-(i-k)][node]==-1){
calculateUnifPlusVector(env, N-1-(i-k),node,2,lambda,probSize,relativeReachability,dir,unifVectors,fullTransitionMatrix, markovianStates,psiStates,solver, logfile, poisson);
calculateUnifPlusVector(env, N-1-(i-k),node,2,lambda,probSize,relativeReachability,dir,unifVectors,fullTransitionMatrix, markovianStates,psiStates,solver, logfile, poisson, cycleFree);
//old: relativeReachability, dir, (N-1-(i-k)),node,lambda,wu,fullTransitionMatrix,markovianStates,psiStates, solver);
}
if (i>=poisson.left && i<=poisson.right){
@ -250,7 +193,8 @@ namespace storm {
storm::storage::SparseMatrix<ValueType> const &fullTransitionMatrix,
storm::storage::BitVector const &markovianStates,
storm::storage::BitVector const &psiStates,
std::unique_ptr<storm::solver::MinMaxLinearEquationSolver<ValueType>> const &solver, std::ofstream& logfile, storm::utility::numerical::FoxGlynnResult<ValueType> const & poisson) {
std::unique_ptr<storm::solver::MinMaxLinearEquationSolver<ValueType>> const &solver, std::ofstream& logfile,
storm::utility::numerical::FoxGlynnResult<ValueType> const & poisson, bool cycleFree) {
if (unifVectors[kind][k][node]!=-1){
@ -300,7 +244,7 @@ namespace storm {
for (auto &element : line){
uint64_t to = element.getColumn();
if (unifVectors[kind][k+1][to]==-1){
calculateUnifPlusVector(env, k+1,to,kind,lambda,probSize,relativeReachability,dir,unifVectors,fullTransitionMatrix,markovianStates,psiStates,solver, logfile, poisson);
calculateUnifPlusVector(env, k+1,to,kind,lambda,probSize,relativeReachability,dir,unifVectors,fullTransitionMatrix,markovianStates,psiStates,solver, logfile, poisson, cycleFree);
}
res+=element.getValue()*unifVectors[kind][k+1][to];
}
@ -310,164 +254,80 @@ namespace storm {
}
//probabilistic non-goal State
res = -1;
uint64_t rowStart = rowGroupIndices[node];
uint64_t rowEnd = rowGroupIndices[node+1];
for (uint64_t i = rowStart; i< rowEnd; i++){
auto line = fullTransitionMatrix.getRow(i);
ValueType between = 0;
for (auto& element: line){
uint64_t to = element.getColumn();
if (to==node){
continue;
}
if (unifVectors[kind][k][to]==-1){
calculateUnifPlusVector(env, k,to,kind,lambda,probSize,relativeReachability,dir,unifVectors,fullTransitionMatrix,markovianStates,psiStates,solver, logfile, poisson);
}
between+=element.getValue()*unifVectors[kind][k][to];
}
if (maximize(dir)){
res = std::max(res,between);
} else {
if (res!=-1){
res = std::min(res,between);
} else {
res = between;
}
}
}
unifVectors[kind][k][node]=res;
//logfile << print << "probabilistic state: "<< " res = " << unifVectors[kind][k][node] << " but calculated more \n";
//end probabilistic states
}
template <typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type>
uint64_t SparseMarkovAutomatonCslHelper::trajans(storm::storage::SparseMatrix<ValueType> const& transitionMatrix, uint64_t node, std::vector<uint64_t >& disc, std::vector<uint64_t >& finish, uint64_t* counter) {
auto const& rowGroupIndice = transitionMatrix.getRowGroupIndices();
disc[node] = *counter;
finish[node] = *counter;
(*counter)+=1;
auto from = rowGroupIndice[node];
auto to = rowGroupIndice[node+1];
for(uint64_t i =from; i<to ; i++ ) {
for(auto element : transitionMatrix.getRow(i)){
if (element.getValue()==0){
continue;
}
if (disc[element.getColumn()]==0){
uint64_t back = trajans(transitionMatrix,element.getColumn(),disc,finish, counter);
finish[node]=std::min(finish[node], back);
} else {
finish[node]=std::min(finish[node], disc[element.getColumn()]);
if (cycleFree) {
//cycle free -- slight ValueIteration
res = -1;
uint64_t rowStart = rowGroupIndices[node];
uint64_t rowEnd = rowGroupIndices[node + 1];
for (uint64_t i = rowStart; i < rowEnd; i++) {
auto line = fullTransitionMatrix.getRow(i);
ValueType between = 0;
for (auto &element: line) {
uint64_t to = element.getColumn();
if (to == node) {
continue;
}
if (unifVectors[kind][k][to] == -1) {
calculateUnifPlusVector(env, k, to, kind, lambda, probSize, relativeReachability, dir,
unifVectors, fullTransitionMatrix, markovianStates, psiStates,
solver, logfile, poisson, cycleFree);
}
between += element.getValue() * unifVectors[kind][k][to];
}
}
}
return finish[node];
}
template<typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type>
void SparseMarkovAutomatonCslHelper::identify(
storm::storage::SparseMatrix<ValueType> const &fullTransitionMatrix,
storm::storage::BitVector const &markovianStates, storm::storage::BitVector const& psiStates) {
auto indices = fullTransitionMatrix.getRowGroupIndices();
bool realProb = false;
bool NDM = false;
bool Alternating = true;
bool probStates = false;
bool markStates = false;
for (uint64_t i=0; i<fullTransitionMatrix.getRowGroupCount(); i++){
auto from = indices[i];
auto to = indices[i+1];
if (from+1!=to){
NDM = true;
}
if (!psiStates[i]){
if (markovianStates[i]){
markStates=true;
if (maximize(dir)) {
res = std::max(res, between);
} else {
probStates=true;
}
}
for (uint64_t j =from; j<to ; j++){
for (auto& element: fullTransitionMatrix.getRow(j)){
if (markovianStates[i]==markovianStates[element.getColumn()] && !psiStates[element.getColumn()]){
Alternating = false;
}
if (!markovianStates[i] && element.getValue()!=1){
realProb = true;
if (res != -1) {
res = std::min(res, between);
} else {
res = between;
}
}
}
unifVectors[kind][k][node] = res;
return;
}
std:: cout << "prob States :" << probStates <<" markovian States: " << markStates << " realProb: "<< realProb << " NDM: " << NDM << " Alternating: " << Alternating << "\n";
}
template <typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type>
storm::storage::BitVector SparseMarkovAutomatonCslHelper::identifyProbCyclesGoalStates(storm::storage::SparseMatrix<ValueType> const& transitionMatrix, storm::storage::BitVector const& cycleStates) {
storm::storage::BitVector goalStates(cycleStates.size(), false);
auto const& rowGroupIndices = transitionMatrix.getRowGroupIndices();
for (uint64_t i = 0 ; i < transitionMatrix.getRowGroupCount() ; i++){
if (!cycleStates[i]){
//not cycle free - use solver technique, calling SVI per default
//solving all sub-MDP's in one iteration
std::vector<ValueType> b(probSize, 0), x(numberOfProbStates,0);
//calculate b
uint64_t lineCounter=0;
for (int i =0; i<numberOfStates; i++) {
if (markovianStates[i]) {
continue;
}
auto from = rowGroupIndices[i];
auto to = rowGroupIndices[i+1];
for (auto j = from ; j<to; j++){
for (auto element: transitionMatrix.getRow(j)) {
if (!cycleStates[element.getColumn()]){
goalStates.set(element.getColumn(),true);
auto rowStart = rowGroupIndices[i];
auto rowEnd = rowGroupIndices[i + 1];
for (auto j = rowStart; j < rowEnd; j++) {
uint64_t stateCount = 0;
res = 0;
for (auto &element:fullTransitionMatrix.getRow(j)) {
auto to = element.getColumn();
if (!markovianStates[to]) {
continue;
}
if (unifVectors[kind][k][to] == -1) {
calculateUnifPlusVector(env, k, to, kind, lambda, probSize, relativeReachability, dir,
unifVectors, fullTransitionMatrix, markovianStates,
psiStates, solver, logfile, poisson, cycleFree);
}
res = res + relativeReachability[j][stateCount] * unifVectors[kind][k][to];
stateCount++;
}
b[lineCounter] = res;
lineCounter++;
}
}
return goalStates;
}
template <typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type>
storm::storage::BitVector SparseMarkovAutomatonCslHelper::identifyProbCycles(storm::storage::SparseMatrix<ValueType> const& transitionMatrix, storm::storage::BitVector const& markovianStates, storm::storage::BitVector const& psiStates){
storm::storage::BitVector const& probabilisticStates = ~markovianStates;
storm::storage::BitVector const& probabilisticNonGoalStates = ~markovianStates & ~psiStates;
storm::storage::SparseMatrix<ValueType> const& probMatrix = transitionMatrix.getSubmatrix(true, probabilisticNonGoalStates, probabilisticNonGoalStates);
uint64_t probSize = probMatrix.getRowGroupCount();
std::vector<uint64_t> disc(probSize, 0), finish(probSize, 0);
uint64_t counter =1;
for (uint64_t i =0; i<probSize; i++){
if (disc[i]==0) {
trajans(probMatrix, i, disc, finish, &counter);
}
}
solver->solveEquations(env, dir, x, b);
storm::storage::BitVector cycleStates(markovianStates.size(), false);
for (int i = 0 ; i< finish.size() ; i++){
auto f = finish[i];
for (int j =i+1; j<finish.size() ; j++){
if (finish[j]==f){
cycleStates.set(transformIndice(probabilisticNonGoalStates,i),true);
cycleStates.set(transformIndice(probabilisticNonGoalStates,j),true);
}
}
for (uint64_t i =0 ; i<numberOfProbStates; i++){
auto trueI = transformIndice(~markovianStates,i);
unifVectors[kind][k][trueI]=x[i];
}
return cycleStates;
//end probabilistic states
}
template <typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type>
void SparseMarkovAutomatonCslHelper::deleteProbDiagonals(storm::storage::SparseMatrix<ValueType>& transitionMatrix, storm::storage::BitVector const& markovianStates){
auto const& rowGroupIndices = transitionMatrix.getRowGroupIndices();
@ -512,6 +372,7 @@ namespace storm {
storm::solver::MinMaxLinearEquationSolverFactory<ValueType> const &minMaxLinearEquationSolverFactory) {
STORM_LOG_TRACE("Using UnifPlus to compute bounded until probabilities.");
bool cycleFree;
std::ofstream logfile("U+logfile.txt", std::ios::app);
//logfile << "Using U+\n";
@ -571,7 +432,6 @@ namespace storm {
//calculate relative reachability
/*
for (uint64_t i = 0; i < numberOfStates; i++) {
if (markovianStates[i]) {
continue;
@ -593,15 +453,14 @@ namespace storm {
requirements.clearBounds();
STORM_LOG_THROW(requirements.empty(), storm::exceptions::UncheckedRequirementException,
"Cannot establish requirements for solver.");
*/
std::unique_ptr<storm::solver::MinMaxLinearEquationSolver<ValueType>> solver;
/*if (probSize != 0) {
if (probSize != 0) {
solver = minMaxLinearEquationSolverFactory.create(env, probMatrix);
solver->setHasUniqueSolution();
solver->setBounds(storm::utility::zero<ValueType>(), storm::utility::one<ValueType>());
solver->setRequirementsChecked();
solver->setCachingEnabled(true);
} */
}
// while not close enough to precision:
do {
//logfile << "starting iteration\n";
@ -661,15 +520,13 @@ namespace storm {
for (uint64_t k = N; k <= N; k--) {
calculateUnifPlusVector(env, k, i, 0, lambda, probSize, relReachability, dir, unifVectors,
fullTransitionMatrix, markovianStates, psiStates, solver, logfile,
foxGlynnResult);
foxGlynnResult, cycleFree);
calculateUnifPlusVector(env, k, i, 2, lambda, probSize, relReachability, dir, unifVectors,
fullTransitionMatrix, markovianStates, psiStates, solver, logfile,
foxGlynnResult);
foxGlynnResult, cycleFree);
calculateVu(env, relReachability, dir, k, i, 1, lambda, probSize, unifVectors,
fullTransitionMatrix, markovianStates, psiStates, solver, logfile,
foxGlynnResult);
//also use iteration to keep maxNorm of vd and vup to date, so the loop-condition is easy to prove
//ValueType diff = std::abs(unifVectors[0][k][i] - unifVectors[1][k][i]);
foxGlynnResult, cycleFree);
}
}
@ -678,23 +535,11 @@ namespace storm {
ValueType diff = std::abs(unifVectors[0][0][i]-unifVectors[1][0][i]);
maxNorm = std::max(maxNorm, diff);
}
//printTransitions(N, maxNorm, fullTransitionMatrix, exitRate, markovianStates, psiStates,
// relReachability, psiStates, psiStates, unifVectors, logfile); //TODO remove
// (6) double lambda
lambda = 2 * lambda;
// (7) escape if not coming closer to solution
if (oldDiff != -1) {
if (oldDiff == maxNorm) {
std::cout << "Not coming closer to solution as " << maxNorm << "\n";
break;
}
}
oldDiff = maxNorm;
std::cout << "Finished Iteration for N = " << N << " with difference " << maxNorm << "\n";
} while (maxNorm > epsilon /* * (1 - kappa)*/);
} while (maxNorm > epsilon*(1 - kappa));
logfile.close();
return unifVectors[0][0];

28
src/storm/modelchecker/csl/helper/SparseMarkovAutomatonCslHelper.h
View File

@ -60,10 +60,7 @@ namespace storm {
private:
template <typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type=0>
static void identify(storm::storage::SparseMatrix<ValueType> const& fullTransitionMatrix, storm::storage::BitVector const& markovianStates,storm::storage::BitVector const& psiStates);
template <typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type=0>
static void calculateUnifPlusVector(Environment const& env, uint64_t k, uint64_t node, uint64_t const kind, ValueType lambda, uint64_t probSize, std::vector<std::vector<ValueType>> const& relativeReachability, OptimizationDirection dir, std::vector<std::vector<std::vector<ValueType>>>& unifVectors, storm::storage::SparseMatrix<ValueType> const& fullTransitionMatrix, storm::storage::BitVector const& markovianStates, storm::storage::BitVector const& psiStates, std::unique_ptr<storm::solver::MinMaxLinearEquationSolver<ValueType>> const& solver, std::ofstream& logfile, storm::utility::numerical::FoxGlynnResult<ValueType> const & poisson);
static void calculateUnifPlusVector(Environment const& env, uint64_t k, uint64_t node, uint64_t const kind, ValueType lambda, uint64_t probSize, std::vector<std::vector<ValueType>> const& relativeReachability, OptimizationDirection dir, std::vector<std::vector<std::vector<ValueType>>>& unifVectors, storm::storage::SparseMatrix<ValueType> const& fullTransitionMatrix, storm::storage::BitVector const& markovianStates, storm::storage::BitVector const& psiStates, std::unique_ptr<storm::solver::MinMaxLinearEquationSolver<ValueType>> const& solver, std::ofstream& logfile, storm::utility::numerical::FoxGlynnResult<ValueType> const & poisson, bool cycleFree);
template <typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type=0>
static void deleteProbDiagonals(storm::storage::SparseMatrix<ValueType>& transitionMatrix, storm::storage::BitVector const& markovianStates);
@ -80,28 +77,12 @@ namespace storm {
return id-1;
}
template <typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type=0>
static storm::storage::BitVector identifyProbCyclesGoalStates(storm::storage::SparseMatrix<ValueType> const& transitionMatrix, storm::storage::BitVector const& cycleStates);
template <typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type=0>
static storm::storage::BitVector identifyProbCycles(storm::storage::SparseMatrix<ValueType> const& TransitionMatrix, storm::storage::BitVector const& markovianStates, storm::storage::BitVector const& psiStates);
//TODO: move this
template <typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type=0>
static uint64_t trajans(storm::storage::SparseMatrix<ValueType> const& TransitionMatrix, uint64_t node, std::vector<uint64_t>& disc, std::vector<uint64_t>& finish, uint64_t * counter);
/*
* Computes vu vector according to UnifPlus
*
*/
template <typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type=0>
static void calculateVu(Environment const& env, std::vector<std::vector<ValueType>> const& relativeReachability, OptimizationDirection dir, uint64_t k, uint64_t node, uint64_t const kind, ValueType lambda, uint64_t probSize, std::vector<std::vector<std::vector<ValueType>>>& unifVectors, storm::storage::SparseMatrix<ValueType> const& fullTransitionMatrix, storm::storage::BitVector const& markovianStates, storm::storage::BitVector const& psiStates, std::unique_ptr<storm::solver::MinMaxLinearEquationSolver<ValueType>> const& solver, std::ofstream& logfile, storm::utility::numerical::FoxGlynnResult<ValueType> const & poisson);
static void calculateVu(Environment const& env, std::vector<std::vector<ValueType>> const& relativeReachability, OptimizationDirection dir, uint64_t k, uint64_t node, uint64_t const kind, ValueType lambda, uint64_t probSize, std::vector<std::vector<std::vector<ValueType>>>& unifVectors, storm::storage::SparseMatrix<ValueType> const& fullTransitionMatrix, storm::storage::BitVector const& markovianStates, storm::storage::BitVector const& psiStates, std::unique_ptr<storm::solver::MinMaxLinearEquationSolver<ValueType>> const& solver, std::ofstream& logfile, storm::utility::numerical::FoxGlynnResult<ValueType> const & poisson, bool cycleFree);
/*!
* Prints the TransitionMatrix and the vectors vd, vu, wu to the logfile
@ -109,11 +90,6 @@ namespace storm {
*
*/
template <typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type=0>
static void printTransitions(const uint64_t N, ValueType const diff, storm::storage::SparseMatrix<ValueType> const& fullTransitionMatrix, std::vector<ValueType> const& exitRateVector, storm::storage::BitVector const& markovianStates,
storm::storage::BitVector const& psiStates, std::vector<std::vector<ValueType>> relReachability,
storm::storage::BitVector const& cycleStates , storm::storage::BitVector const& cycleGoalStates ,std::vector<std::vector<std::vector<ValueType>>>& unifVectors, std::ofstream& logfile);
template <typename ValueType, typename std::enable_if<storm::NumberTraits<ValueType>::SupportsExponential, int>::type = 0>
static void computeBoundedReachabilityProbabilities(Environment const& env, OptimizationDirection dir, storm::storage::SparseMatrix<ValueType> const& transitionMatrix, std::vector<ValueType> const& exitRates, storm::storage::BitVector const& goalStates, storm::storage::BitVector const& markovianNonGoalStates, storm::storage::BitVector const& probabilisticNonGoalStates, std::vector<ValueType>& markovianNonGoalValues, std::vector<ValueType>& probabilisticNonGoalValues, ValueType delta, uint64_t numberOfSteps, storm::solver::MinMaxLinearEquationSolverFactory<ValueType> const& minMaxLinearEquationSolverFactory);

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