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#ifndef OPENGM_MOVEMAKER_HXX
#define OPENGM_MOVEMAKER_HXX
#include <algorithm>
#include <vector>
#include "opengm/operations/multiplier.hxx"
#include "opengm/operations/maximizer.hxx"
#include "opengm/inference/inference.hxx"
#include "opengm/utilities/metaprogramming.hxx"
#include "opengm/utilities/sorting.hxx"
#include "opengm/graphicalmodel/graphicalmodel.hxx"
#include "opengm/graphicalmodel/space/vector_view_space.hxx"
#include "opengm/functions/view.hxx"
#include "opengm/functions/view_fix_variables_function.hxx"
#include "opengm/datastructures/buffer_vector.hxx"
#include "opengm/inference/bruteforce.hxx"
namespace opengm {
/// A fremework for move making algorithms
template<class GM>
class Movemaker {
public:
typedef GM GraphicalModelType;
OPENGM_GM_TYPE_TYPEDEFS;
typedef typename std::vector<LabelType>::const_iterator LabelIterator;
/// \cond HIDDEN_SYMBOLS
typedef typename opengm::meta::TypeListGenerator<ViewFunction<GM>, ViewFixVariablesFunction<GM> >::type FunctionTypeList;
typedef opengm::VectorViewSpace<IndexType, LabelType> SubGmSpace;
typedef opengm::GraphicalModel<ValueType, OperatorType, FunctionTypeList, SubGmSpace> SubGmType;
/// \endcond
Movemaker(const GraphicalModelType&);
template<class StateIterator>
Movemaker(const GraphicalModelType&, StateIterator);
ValueType value() const;
template<class IndexIterator, class StateIterator>
ValueType valueAfterMove(IndexIterator, IndexIterator, StateIterator);
const LabelType& state(const size_t) const;
LabelIterator stateBegin() const;
LabelIterator stateEnd() const;
void reset();
template<class StateIterator>
void initialize(StateIterator);
template<class IndexIterator, class StateIterator>
ValueType move(IndexIterator, IndexIterator, StateIterator);
template<class ACCUMULATOR, class IndexIterator>
ValueType moveOptimally(IndexIterator, IndexIterator);
template<class ACCUMULATOR, class IndexIterator>
ValueType moveOptimallyWithAllLabelsChanging(IndexIterator, IndexIterator);
//template<class ACCUMULATOR, class IndexIterator>
//ValueType moveAstarOptimally(IndexIterator, IndexIterator);
template<class INFERENCE_TYPE, class INFERENCE_PARAMETER, class INDEX_ITERATOR, class STATE_ITERATOR>
void proposeMoveAccordingToInference(const INFERENCE_PARAMETER&, INDEX_ITERATOR, INDEX_ITERATOR, std::vector<LabelType>&)const;
private:
typedef PositionAndLabel<IndexType, LabelType > PositionAndLabelType;
typedef opengm::BufferVector<PositionAndLabelType> PositionAndLabelVector;
/// \cond HIDDEN_SYMBOLS
template<class INDEX_ITERATOR>
void addFactorsToSubGm(INDEX_ITERATOR, INDEX_ITERATOR, SubGmType&)const;
/// \endcond
void addSingleSide(const IndexType, const IndexType, SubGmType &, std::set<IndexType>&)const;
void addHigherOrderBorderFactor(const IndexType, const opengm::BufferVector<IndexType>&, const PositionAndLabelVector &, SubGmType &, std::set<IndexType> &)const;
void addHigherOrderInsideFactor(const IndexType, const opengm::BufferVector<IndexType>&, SubGmType &, std::set<IndexType> &)const;
template<class FactorIndexIterator>
ValueType evaluateFactors(FactorIndexIterator, FactorIndexIterator, const std::vector<LabelType>&) const;
const GraphicalModelType& gm_;
std::vector<std::set<size_t> > factorsOfVariable_;
std::vector<LabelType> state_;
std::vector<LabelType> stateBuffer_; // always equal to state_ (invariant)
ValueType energy_; // energy of state state_ (invariant)
};
/*
template<class GM>
template<class ACCUMULATOR, class IndexIterator>
inline typename Movemaker<GM>::ValueType
Movemaker<GM>::moveAstarOptimally
(
IndexIterator variableIndicesBegin,
IndexIterator variableIndicesEnd
) {
typedef opengm::AStar<SubGmType, ACCUMULATOR> SubGmInferenceType;
typedef typename SubGmInferenceType::Parameter SubGmInferenceParameterType;
SubGmInferenceParameterType para;
para.heuristic_ = para.STANDARDHEURISTIC;
std::vector<LabelType> states(std::distance(variableIndicesBegin, variableIndicesEnd));
this-> template proposeMoveAccordingToInference<
SubGmInferenceType, SubGmInferenceParameterType, IndexIterator, typename std::vector<LabelType>::iterator
> (para, variableIndicesBegin, variableIndicesEnd, states);
return this->move(variableIndicesBegin, variableIndicesEnd, states.begin());
}
*/
template<class GM>
template<class INFERENCE_TYPE, class INFERENCE_PARAMETER, class INDEX_ITERATOR, class STATE_ITERATOR>
inline void
Movemaker<GM>::proposeMoveAccordingToInference
(
const INFERENCE_PARAMETER& inferenceParam,
INDEX_ITERATOR variablesBegin,
INDEX_ITERATOR variablesEnd,
std::vector<LabelType>& states
)const {
OPENGM_ASSERT(opengm::isSorted(variablesBegin, variablesEnd));
const size_t numberOfVariables = std::distance(variablesBegin, variablesEnd);
std::vector<LabelType> spaceVector(numberOfVariables);
for (size_t v = 0; v < numberOfVariables; ++v)
spaceVector[v] = gm_.numberOfLabels(variablesBegin[v]);
SubGmSpace subGmSpace(spaceVector);
SubGmType subGm(subGmSpace);
this->addFactorsToSubGm(variablesBegin, variablesEnd, subGm);
INFERENCE_TYPE subGmInference(subGm, inferenceParam);
subGmInference.infer();
subGmInference.arg(states);
}
template<class GM>
inline void Movemaker<GM>::addSingleSide
(
const typename Movemaker<GM>::IndexType gmFactorIndex,
const typename Movemaker<GM>::IndexType subGmVarIndex,
typename Movemaker<GM>::SubGmType & subGm,
std::set<typename Movemaker<GM>::IndexType> & addedFactors
)const {
const size_t var1Index[] = {subGmVarIndex};
ViewFunction<GM> function = (gm_[gmFactorIndex]);
typename GM::FunctionIdentifier fid = subGm.addFunction(function);
subGm.addFactor(fid, var1Index, var1Index + 1);
addedFactors.insert(gmFactorIndex);
}
template<class GM>
inline void Movemaker<GM>::addHigherOrderInsideFactor
(
const typename Movemaker<GM>::IndexType gmFactorIndex,
const opengm::BufferVector<typename Movemaker<GM>::IndexType> & subGmFactorVi,
typename Movemaker<GM>::SubGmType & subGm,
std::set<typename Movemaker<GM>::IndexType> & addedFactors
)const {
ViewFunction<GM> function(gm_[gmFactorIndex]);
typename GM::FunctionIdentifier fid = subGm.addFunction(function);
subGm.addFactor(fid, subGmFactorVi.begin(), subGmFactorVi.end());
addedFactors.insert(gmFactorIndex);
}
template<class GM>
inline void Movemaker<GM>::addHigherOrderBorderFactor
(
const typename Movemaker<GM>::IndexType gmFactorIndex,
const opengm::BufferVector<typename Movemaker<GM>::IndexType> & subGmFactorVi,
const typename Movemaker<GM>::PositionAndLabelVector & factorFixVi,
typename Movemaker<GM>::SubGmType & subGm,
std::set<typename Movemaker<GM>::IndexType> & addedFactors
)const {
ViewFixVariablesFunction<GM> function(gm_[gmFactorIndex], factorFixVi);
typename GM::FunctionIdentifier fid = subGm.addFunction(function);
subGm.addFactor(fid, subGmFactorVi.begin(), subGmFactorVi.end());
addedFactors.insert(gmFactorIndex);
}
template<class GM>
template<class INDEX_ITERATOR >
inline void Movemaker<GM>::addFactorsToSubGm
(
INDEX_ITERATOR variablesBegin,
INDEX_ITERATOR variablesEnd,
typename Movemaker<GM>::SubGmType & subGm
)const {
std::set<IndexType> addedFactors;
opengm::BufferVector<IndexType> subGmFactorVi;
opengm::BufferVector<opengm::PositionAndLabel<IndexType, LabelType > >factorFixVi;
subGm.reserveFactors(subGm.numberOfVariables()*7);
for (IndexType subGmVi = 0; subGmVi < subGm.numberOfVariables(); ++subGmVi) {
for (size_t f = 0; f < gm_.numberOfFactors(variablesBegin[subGmVi]); ++f) {
const size_t factorIndex = gm_.factorOfVariable(variablesBegin[subGmVi], f);
// if the factor has not been added
if (addedFactors.find(factorIndex) == addedFactors.end()) {
if (gm_[factorIndex].numberOfVariables() == 0) {
} else if (gm_[factorIndex].numberOfVariables() == 1)
this->addSingleSide(factorIndex, subGmVi, subGm, addedFactors);
else {
// find if all variables of the factor are in the subgraph or not:
subGmFactorVi.clear();
factorFixVi.clear();
for (IndexType vv = 0; vv < gm_[factorIndex].numberOfVariables(); ++vv) {
bool foundVarIndex = false;
IndexType varIndexSubGm = 0;
foundVarIndex = findInSortedSequence(variablesBegin, subGm.numberOfVariables(), gm_[factorIndex].variableIndex(vv), varIndexSubGm);
if (foundVarIndex == false) // variable is outside the subgraph
factorFixVi.push_back(opengm::PositionAndLabel<IndexType, LabelType > (vv, this->state(gm_[factorIndex].variableIndex(vv))));
else // variable is inside the subgraph
subGmFactorVi.push_back(varIndexSubGm);
}
if (factorFixVi.size() == 0) // all variables are in the subgraph
this->addHigherOrderInsideFactor(factorIndex, subGmFactorVi, subGm, addedFactors);
else // not all are in the subgraph
this->addHigherOrderBorderFactor(factorIndex, subGmFactorVi, factorFixVi, subGm, addedFactors);
}
}
}
}
}
template<class GM>
Movemaker<GM>::Movemaker
(
const GraphicalModelType& gm
)
: gm_(gm),
factorsOfVariable_(gm.numberOfVariables()),
state_(gm.numberOfVariables()),
stateBuffer_(gm.numberOfVariables()),
energy_(gm.evaluate(state_.begin()))
{
for (size_t f = 0; f < gm.numberOfFactors(); ++f) {
for (size_t v = 0; v < gm[f].numberOfVariables(); ++v) {
factorsOfVariable_[gm[f].variableIndex(v)].insert(f);
}
}
}
template<class GM>
template<class StateIterator>
Movemaker<GM>::Movemaker
(
const GraphicalModelType& gm,
StateIterator it
)
: gm_(gm),
factorsOfVariable_(gm.numberOfVariables()),
state_(gm.numberOfVariables()),
stateBuffer_(gm.numberOfVariables()),
energy_(gm.evaluate(it)) // fails if *it is out of bounds
{
for (size_t j = 0; j < gm.numberOfVariables(); ++j, ++it) {
state_[j] = *it;
stateBuffer_[j] = *it;
}
for (size_t f = 0; f < gm.numberOfFactors(); ++f) {
for (size_t v = 0; v < gm[f].numberOfVariables(); ++v) {
factorsOfVariable_[gm[f].variableIndex(v)].insert(f);
}
}
}
template<class GM>
template<class StateIterator>
void Movemaker<GM>::initialize
(
StateIterator it
) {
energy_ = gm_.evaluate(it); // fails if *it is out of bounds
for (size_t j = 0; j < gm_.numberOfVariables(); ++j, ++it) {
state_[j] = *it;
stateBuffer_[j] = *it;
}
}
template<class GM>
void
Movemaker<GM>::reset() {
for (size_t j = 0; j < gm_.numberOfVariables(); ++j) {
state_[j] = 0;
stateBuffer_[j] = 0;
}
energy_ = gm_.evaluate(state_.begin());
}
template<class GM>
inline typename Movemaker<GM>::ValueType
Movemaker<GM>::value() const {
return energy_;
}
template<class GM>
template<class IndexIterator, class StateIterator>
typename Movemaker<GM>::ValueType
Movemaker<GM>::valueAfterMove
(
IndexIterator begin,
IndexIterator end,
StateIterator destinationState
) {
ValueType destinationValue;
if(meta::Compare<OperatorType, opengm::Multiplier>::value){
//Partial update for multiplication is not numrical stabel! That why recalculate the objective
// set stateBuffer_ to destinationState, and determine factors to recompute
for (IndexIterator it = begin; it != end; ++it, ++destinationState) {
stateBuffer_[*it] = *destinationState;
}
// evaluate destination state
destinationValue = gm_.evaluate(stateBuffer_);
// restore stateBuffer_
for (IndexIterator it = begin; it != end; ++it) {
stateBuffer_[*it] = state_[*it];
}
}else{
// do partial update
// set stateBuffer_ to destinationState, and determine factors to recompute
std::set<size_t> factorsToRecompute;
for (IndexIterator it = begin; it != end; ++it, ++destinationState) {
OPENGM_ASSERT(*destinationState < gm_.numberOfLabels(*it));
if (state_[*it] != *destinationState) {
OPENGM_ASSERT(*destinationState < gm_.numberOfLabels(*it));
stateBuffer_[*it] = *destinationState;
std::set<size_t> tmpSet;
std::set_union(factorsToRecompute.begin(), factorsToRecompute.end(),
factorsOfVariable_[*it].begin(), factorsOfVariable_[*it].end(),
std::inserter(tmpSet, tmpSet.begin()));
factorsToRecompute.swap(tmpSet);
}
}
// \todo consider buffering the values of ALL factors at the current state!
destinationValue = energy_;
for (std::set<size_t>::const_iterator it = factorsToRecompute.begin(); it != factorsToRecompute.end(); ++it) {
OPENGM_ASSERT(*it < gm_.numberOfFactors());
// determine current and destination state of the current factor
std::vector<size_t> currentFactorState(gm_[*it].numberOfVariables());
std::vector<size_t> destinationFactorState(gm_[*it].numberOfVariables());
for (size_t j = 0; j < gm_[*it].numberOfVariables(); ++j) {
currentFactorState[j] = state_[gm_[*it].variableIndex(j)];
OPENGM_ASSERT(currentFactorState[j] < gm_[*it].numberOfLabels(j));
destinationFactorState[j] = stateBuffer_[gm_[*it].variableIndex(j)];
OPENGM_ASSERT(destinationFactorState[j] < gm_[*it].numberOfLabels(j));
}
OperatorType::op(destinationValue, gm_[*it](destinationFactorState.begin()), destinationValue);
OperatorType::iop(destinationValue, gm_[*it](currentFactorState.begin()), destinationValue);
}
// restore stateBuffer_
for (IndexIterator it = begin; it != end; ++it) {
stateBuffer_[*it] = state_[*it];
}
}
return destinationValue;
}
template<class GM>
template<class IndexIterator, class StateIterator>
inline typename Movemaker<GM>::ValueType
Movemaker<GM>::move
(
IndexIterator begin,
IndexIterator end,
StateIterator sit
) {
energy_ = valueAfterMove(begin, end, sit); // tests for assertions
while (begin != end) {
state_[*begin] = *sit;
stateBuffer_[*begin] = *sit;
++begin;
++sit;
}
return energy_;
}
/// for a subset of variables, move to a labeling that is optimal w.r.t. ACCUMULATOR
/// \param variableIndices random access iterator to the beginning of a sequence of variable indices
/// \param variableIndicesEnd random access iterator to the end of a sequence of variable indices
/// \return new value
template<class GM>
template<class ACCUMULATOR, class IndexIterator>
inline typename Movemaker<GM>::ValueType
Movemaker<GM>::moveOptimally
(
IndexIterator variableIndices,
IndexIterator variableIndicesEnd
) {
// determine factors to recompute
std::set<size_t> factorsToRecompute;
for (IndexIterator it = variableIndices; it != variableIndicesEnd; ++it) {
std::set<size_t> tmpSet;
std::set_union(factorsToRecompute.begin(), factorsToRecompute.end(),
factorsOfVariable_[*it].begin(), factorsOfVariable_[*it].end(),
std::inserter(tmpSet, tmpSet.begin()));
factorsToRecompute.swap(tmpSet);
}
// find an optimal move and the corresponding energy of factors to recompute
size_t numberOfVariables = std::distance(variableIndices, variableIndicesEnd);
ValueType initialEnergy = evaluateFactors(
factorsToRecompute.begin(),
factorsToRecompute.end(),
state_);
ValueType bestEnergy = initialEnergy;
std::vector<size_t> bestState(numberOfVariables);
for (size_t j=0; j<numberOfVariables; ++j) {
const size_t vi = variableIndices[j];
stateBuffer_[vi] = 0;
}
for (;;) {
// compute energy
ValueType energy = evaluateFactors(
factorsToRecompute.begin(),
factorsToRecompute.end(),
stateBuffer_);
if(ACCUMULATOR::bop(energy, bestEnergy)) {
// update energy and state
bestEnergy = energy;
for (size_t j = 0; j < numberOfVariables; ++j) {
bestState[j] = stateBuffer_[variableIndices[j]];
}
}
// increment buffered state
for (size_t j = 0; j < numberOfVariables; ++j) {
const size_t vi = variableIndices[j];
if (stateBuffer_[vi] < gm_.numberOfLabels(vi) - 1) {
++stateBuffer_[vi];
break;
} else {
if (j < numberOfVariables - 1) {
stateBuffer_[vi] = 0;
} else {
goto overflow;
}
}
}
}
overflow:
;
if (ACCUMULATOR::bop(bestEnergy, initialEnergy)) {
// update state_ and stateBuffer_
for (size_t j = 0; j < numberOfVariables; ++j) {
const size_t vi = variableIndices[j];
state_[vi] = bestState[j];
stateBuffer_[vi] = bestState[j];
}
// update energy
if(meta::And<
meta::Compare<ACCUMULATOR, opengm::Maximizer>::value,
meta::Compare<OperatorType, opengm::Multiplier>::value
>::value && energy_ == static_cast<ValueType> (0)) {
OPENGM_ASSERT(state_.size() == gm_.numberOfVariables());
energy_ = gm_.evaluate(state_.begin());
}
else {
OperatorType::iop(initialEnergy, energy_); // energy_ -= initialEnergy
OperatorType::op(bestEnergy, energy_); // energy_ += bestEnergy
}
} else {
// restore stateBuffer_
for (size_t j = 0; j < numberOfVariables; ++j) {
const size_t vi = variableIndices[j];
stateBuffer_[vi] = state_[vi];
}
}
return energy_;
}
/// \todo get rid of redundancy with moveOptimally
template<class GM>
template<class ACCUMULATOR, class IndexIterator>
inline typename Movemaker<GM>::ValueType
Movemaker<GM>::moveOptimallyWithAllLabelsChanging
(
IndexIterator variableIndices,
IndexIterator variableIndicesEnd
) {
// determine factors to recompute
std::set<size_t> factorsToRecompute;
for (IndexIterator it = variableIndices; it != variableIndicesEnd; ++it) {
std::set<size_t> tmpSet;
std::set_union(factorsToRecompute.begin(), factorsToRecompute.end(),
factorsOfVariable_[*it].begin(), factorsOfVariable_[*it].end(),
std::inserter(tmpSet, tmpSet.begin()));
factorsToRecompute.swap(tmpSet);
}
// find an optimal move and the corresponding energy of factors to recompute
size_t numberOfVariables = std::distance(variableIndices, variableIndicesEnd);
ValueType initialEnergy = evaluateFactors(
factorsToRecompute.begin(),
factorsToRecompute.end(),
state_);
ValueType bestEnergy = initialEnergy;
std::vector<size_t> bestState(numberOfVariables);
// set initial labeling
for(size_t j=0; j<numberOfVariables; ++j) {
if(gm_.space().numberOfLabels(variableIndices[j]) == 1) {
// restore stateBuffer_
for(size_t k=0; k<j; ++k) {
stateBuffer_[k] = state_[k];
}
return energy_;
}
else {
const size_t vi = variableIndices[j];
if(state_[vi] == 0) {
stateBuffer_[vi] = 1;
}
else {
stateBuffer_[vi] = 0;
}
}
}
for (;;) {
# ifndef NDEBUG
for(size_t j=0; j<numberOfVariables; ++j) {
const size_t vi = variableIndices[j];
OPENGM_ASSERT(stateBuffer_[vi] != state_[vi]);
}
# endif
// compute energy
ValueType energy = evaluateFactors(
factorsToRecompute.begin(),
factorsToRecompute.end(),
stateBuffer_);
if(ACCUMULATOR::bop(energy, bestEnergy)) {
// update energy and state
bestEnergy = energy;
for (size_t j = 0; j < numberOfVariables; ++j) {
bestState[j] = stateBuffer_[variableIndices[j]];
}
}
// increment buffered state
for (size_t j=0; j<numberOfVariables; ++j) {
const size_t vi = variableIndices[j];
if(stateBuffer_[vi] < gm_.numberOfLabels(vi) - 1) {
if(stateBuffer_[vi] + 1 != state_[vi]) {
++stateBuffer_[vi];
break;
}
else if(stateBuffer_[vi] + 1 < gm_.numberOfLabels(vi) - 1) {
stateBuffer_[vi] += 2; // skip current label
break;
}
else {
if (j < numberOfVariables - 1) {
if(state_[vi] == 0) {
stateBuffer_[vi] = 1;
}
else {
stateBuffer_[vi] = 0;
}
} else {
goto overflow2;
}
}
} else {
if (j < numberOfVariables - 1) {
if(state_[vi] == 0) {
stateBuffer_[vi] = 1;
}
else {
stateBuffer_[vi] = 0;
}
} else {
goto overflow2;
}
}
}
}
overflow2:
;
if (ACCUMULATOR::bop(bestEnergy, initialEnergy)) {
// update state_ and stateBuffer_
for (size_t j = 0; j < numberOfVariables; ++j) {
const size_t vi = variableIndices[j];
state_[vi] = bestState[j];
stateBuffer_[vi] = bestState[j];
}
// update energy
if(meta::And<
meta::Compare<ACCUMULATOR, opengm::Maximizer>::value,
meta::Compare<OperatorType, opengm::Multiplier>::value
>::value && energy_ == static_cast<ValueType> (0)) {
energy_ = gm_.evaluate(state_.begin());
}
else {
OperatorType::iop(initialEnergy, energy_); // energy_ -= initialEnergy
OperatorType::op(bestEnergy, energy_); // energy_ += bestEnergy
}
} else {
// restore stateBuffer_
for (size_t j = 0; j < numberOfVariables; ++j) {
const size_t vi = variableIndices[j];
stateBuffer_[vi] = state_[vi];
}
}
return energy_;
}
template<class GM>
inline const typename Movemaker<GM>::LabelType&
Movemaker<GM>::state
(
const size_t variableIndex
) const {
OPENGM_ASSERT(variableIndex < state_.size());
return state_[variableIndex];
}
template<class GM>
inline typename Movemaker<GM>::LabelIterator
Movemaker<GM>::stateBegin() const {
return state_.begin();
}
template<class GM>
inline typename Movemaker<GM>::LabelIterator
Movemaker<GM>::stateEnd() const {
return state_.end();
}
template<class GM>
template<class FactorIndexIterator>
inline typename Movemaker<GM>::ValueType
Movemaker<GM>::evaluateFactors
(
FactorIndexIterator begin,
FactorIndexIterator end,
const std::vector<LabelType>& state
) const {
ValueType value = OperatorType::template neutral<ValueType>();
for(; begin != end; ++begin) {
std::vector<size_t> currentFactorState(gm_[*begin].numberOfVariables());
for (size_t j=0; j<gm_[*begin].numberOfVariables(); ++j) {
currentFactorState[j] = state[gm_[*begin].variableIndex(j)];
}
OperatorType::op(value, gm_[*begin](currentFactorState.begin()), value);
}
return value;
}
} // namespace opengm
#endif // #ifndef OPENGM_MOVEMAKER_HXX
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