/usr/include/opengm/datastructures/linear_constraint.hxx is in libopengm-dev 2.3.6-2.
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#define OPENGM_LINEAR_CONSTRAINT_HXX_
#include <iterator>
#include <vector>
#include <opengm/datastructures/indicator_variable.hxx>
namespace opengm {
/*********************
* class definition *
*********************/
class LinearConstraintTraits {
public:
// typedefs
struct LinearConstraintOperator {enum ValueType {LessEqual, Equal, GreaterEqual};};
};
template<class VALUE_TYPE, class INDEX_TYPE = size_t, class LABEL_TYPE = size_t>
class LinearConstraint {
public:
// typedefs
typedef VALUE_TYPE ValueType;
typedef INDEX_TYPE IndexType;
typedef LABEL_TYPE LabelType;
typedef IndicatorVariable<IndexType, LabelType> IndicatorVariableType;
typedef std::vector<IndicatorVariableType> IndicatorVariablesContainerType;
typedef std::vector<ValueType> CoefficientsContainerType;
typedef ValueType BoundType;
typedef LinearConstraintTraits::LinearConstraintOperator LinearConstraintOperatorType;
typedef LinearConstraintOperatorType::ValueType LinearConstraintOperatorValueType;
typedef typename IndicatorVariableType::IteratorType VariableLabelPairsIteratorType;
typedef typename IndicatorVariablesContainerType::const_iterator IndicatorVariablesIteratorType;
typedef typename CoefficientsContainerType::const_iterator CoefficientsIteratorType;
// constructors
LinearConstraint();
LinearConstraint(const IndicatorVariablesContainerType& indicatorVariables, const CoefficientsContainerType& coefficients, const BoundType bound = 0.0, const LinearConstraintOperatorValueType constraintOperator = LinearConstraintOperatorType::LessEqual);
template<class INDICATOR_VARIABLES_ITERATOR_TYPE, class COEFFICIENTS_ITERATOR_TYPE>
LinearConstraint(const INDICATOR_VARIABLES_ITERATOR_TYPE indicatorVariablesBegin, const INDICATOR_VARIABLES_ITERATOR_TYPE indicatorVariablesEnd, const COEFFICIENTS_ITERATOR_TYPE coefficientsBegin, const BoundType bound = 0.0, const LinearConstraintOperatorValueType constraintOperator = LinearConstraintOperatorType::LessEqual);
LinearConstraint(const LinearConstraint<ValueType, IndexType, LabelType>& linearConstraint);
// modify
void reserve(const size_t numIndicatorVariables);
void add(const IndicatorVariableType& indicatorVariable, const ValueType coefficient);
void add(const IndicatorVariablesContainerType& indicatorVariables, const CoefficientsContainerType& coefficients);
template<class INDICATOR_VARIABLES_ITERATOR_TYPE, class COEFFICIENTS_ITERATOR_TYPE>
void add(const INDICATOR_VARIABLES_ITERATOR_TYPE indicatorVariablesBegin, const INDICATOR_VARIABLES_ITERATOR_TYPE indicatorVariablesEnd, const COEFFICIENTS_ITERATOR_TYPE coefficientsBegin);
void setBound(const BoundType bound);
void setConstraintOperator(const LinearConstraintOperatorValueType constraintOperator);
// evaluate
template<class ITERATOR_TYPE>
ValueType operator()(const ITERATOR_TYPE statesBegin) const;
// const access
IndicatorVariablesIteratorType indicatorVariablesBegin() const;
IndicatorVariablesIteratorType indicatorVariablesEnd() const;
CoefficientsIteratorType coefficientsBegin() const;
CoefficientsIteratorType coefficientsEnd() const;
BoundType getBound() const;
LinearConstraintOperatorValueType getConstraintOperator() const;
protected:
// storage
IndicatorVariablesContainerType indicatorVariables_;
CoefficientsContainerType coefficients_;
BoundType bound_;
LinearConstraintOperatorValueType constraintOperator_;
};
/***********************
* class documentation *
***********************/
/*! \file linear_constraint.hxx
* \brief Provides implementation for class LinearConstraint.
*/
/*! \class LinearConstraintTraits
* \brief Traits class for LinearConstraint to provide template independent
* enum for ConstraintOperatorType.
*
* This is a traits class for the class LinearConstraint to provide an enum for
* ConstraintOperatorType. This has to be done outside the LinearConstraint
* class. Otherwise there would be several different types defining the
* same enum. One for each instantiation of LinearConstraint, as
* LinearConstraint is a template class.
*/
/*! \struct LinearConstraintTraits::LinearConstraintOperator
* \brief This struct is used to create an own scope for the
* LinearConstraintTraits::LinearConstraintOperator::ValueType enum as
* this is not done in C++ by default.
*/
/*! \enum LinearConstraintTraits::LinearConstraintOperator::ValueType
* \brief This enum defines the operator type for the linear constraint.
*/
/*! \var LinearConstraintTraits::LinearConstraintOperator::ValueType LinearConstraintTraits::LinearConstraintOperator::LessEqual
* \brief Defines the linear constraint operator type to be \f$\leq\f$. Hence
* the left hand side of the constraint will be compared against the
* bound using the operator <=.
*/
/*! \var LinearConstraintTraits::LinearConstraintOperator::ValueType LinearConstraintTraits::LinearConstraintOperator::Equal
* \brief Defines the linear constraint operator type to be \f$=\f$. Hence the
* left hand side of the constraint will be compared against the bound
* using the operator ==.
*/
/*! \var LinearConstraintTraits::LinearConstraintOperator::ValueType LinearConstraintTraits::LinearConstraintOperator::GreaterEqual
* \brief Defines the linear constraint operator type to be \f$\geq\f$. Hence
* the left hand side of the constraint will be compared against the
* bound using the operator >=.
*/
/*! \class LinearConstraint
* \brief Define a linear constraint for a set of indicatorVariables.
*
* This class defines a linear constraint for a set of indicator variables.
* Each variable has to be an indicator variable of the class
* IndicatorVariable. Each constraint consists of four parts:
*
* 1. A set of indicator variables.
* 2. A set of coefficients. One coefficient for each indicator variable.
* 3. A bound.
* 4. An operator type which defines how the left hand side of the
* constraint is compared against the bound.
*
* The constraint will be evaluated by the following formula:
* \f[
* \sum_i c_i \cdot v_i \quad \bigcirc \quad b.
* \f]
* Here \f$v_i\f$ represents the \f$i\f$-th indicator variable, \f$c_i\f$
* represents the coefficient belonging to the \f$i\f$-th indictor variable,
* \f$b\f$ represents the bound and \f$\bigcirc\f$ is the selected operator
* type (\f$\leq\f$, \f$=\f$ or \f$\geq\f$).
*
* \tparam VALUE_TYPE Value type.
* \tparam INDEX_TYPE Index type.
* \tparam LABEL_TYPE Label type.
*/
/*! \typedef LinearConstraint::ValueType
* \brief Typedef of the VALUE_TYPE template parameter type from the class
* LinearConstraint.
*/
/*! \typedef LinearConstraint::IndexType
* \brief Typedef of the INDEX_TYPE template parameter type from the class
* LinearConstraint.
*/
/*! \typedef LinearConstraint::LabelType
* \brief Typedef of the LABEL_TYPE template parameter type from the class
* LinearConstraint.
*/
/*! \typedef LinearConstraint::IndicatorVariableType
* \brief Typedef of the IndicatorVariable class with appropriate template
* parameter.
*/
/*! \typedef LinearConstraint::IndicatorVariablesContainerType
* \brief Defines the storage type for the set of indicator variables.
*/
/*! \typedef LinearConstraint::CoefficientsContainerType
* \brief Defines the storage type for the set of coefficients for the
* indicator variables.
*/
/*! \typedef LinearConstraint::BoundType
* \brief Defines the data type for the bound.
*/
/*! \typedef LinearConstraint::LinearConstraintOperatorType
* \brief Defines the linear constraint operator.
*/
/*! \typedef LinearConstraint::LinearConstraintOperatorValueType
* \brief Defines the linear constraint operator type.
*/
/*! \typedef LinearConstraint::VariableLabelPairsIteratorType
* \brief Defines the const iterator type to iterate over the variable label
* pairs of an indicator variable.
*/
/*! \typedef LinearConstraint::IndicatorVariablesIteratorType
* \brief Defines the const iterator type to iterate over the set of indicator
* variables.
*/
/*! \typedef LinearConstraint::CoefficientsIteratorType
* \brief Defines the const iterator type to iterate over the set of
* coefficients for the indicator variables.
*/
/*! \fn LinearConstraint::LinearConstraint()
* \brief LinearConstraint constructor.
*
* This constructor will create an empty LinearConstraint.
*/
/*! \fn LinearConstraint::LinearConstraint(const IndicatorVariablesContainerType& indicatorVariables, const CoefficientsContainerType& coefficients, const BoundType bound = 0.0, const LinearConstraintOperatorValueType constraintOperator = LinearConstraintOperatorType::LessEqual)
* \brief LinearConstraint constructor.
*
* This constructor will create a LinearConstraint by copying the set of
* indicator variables and coefficients.
*
* \param[in] indicatorVariables The set of indicator variables.
* \param[in] coefficients The set of coefficients for the indicator variables.
* \param[in] bound The right hand side of the constraint.
* \param[in] constraintOperator The comparison operator by which the
* constraint will be evaluated.
*/
/*! \fn LinearConstraint::LinearConstraint(const INDICATOR_VARIABLES_ITERATOR_TYPE indicatorVariablesBegin, const INDICATOR_VARIABLES_ITERATOR_TYPE indicatorVariablesEnd, const COEFFICIENTS_ITERATOR_TYPE coefficientsBegin, const BoundType bound = 0.0, const LinearConstraintOperatorValueType constraintOperator = LinearConstraintOperatorType::LessEqual)
* \brief LinearConstraint constructor.
*
* This constructor will create a LinearConstraint by copying the set of
* indicator variables and coefficients.
*
* \tparam INDICATOR_VARIABLES_ITERATOR_TYPE Iterator type to iterate over the
* set of indicator variables.
* \tparam COEFFICIENTS_ITERATOR_TYPE Iterator type to iterate over the set of
* coefficients for the indicator variables.
*
* \param[in] indicatorVariablesBegin Iterator pointing to the begin of the set
* of indicator variables.
* \param[in] indicatorVariablesEnd Iterator pointing to the end of the set of
* indicator variables.
* \param[in] coefficientsBegin Iterator pointing to the begin of the set of
* coefficients for the indicator variables.
* \param[in] bound The right hand side of the constraint.
* \param[in] constraintOperator The comparison operator by which the
* constraint will be evaluated.
*/
/*! \fn LinearConstraint::LinearConstraint(const LinearConstraint<ValueType, IndexType, LabelType>& linearConstraint)
* \brief LinearConstraint constructor.
*
* This constructor will create a LinearConstraint by copying an existing
* linear constraint.
*
* \param[in] linearConstraint Existing linear constraint which will be copied.
*/
/*! \fn void LinearConstraint::reserve(const size_t numIndicatorVariables)
* \brief Preallocate memory
*
* The reserve function fill preallocate enough memory to store at least the
* stated number of indicator variables and the corresponding coefficients.
*
* \param[in] numIndicatorVariables The number of indicator variables for which
* memory will be allocated.
*/
/*! \fn void LinearConstraint::add(const IndicatorVariableType& indicatorVariable, const ValueType coefficient)
* \brief Add a single indicator variable and the corresponding coefficient to
* the linear constraint.
*
* \param[in] indicatorVariable Indicator variable which will be added to the
* linear constraint.
* \param[in] coefficient Coefficient of the indicator variable.
*/
/*! \fn void LinearConstraint::add(const IndicatorVariablesContainerType& indicatorVariables, const CoefficientsContainerType& coefficients)
* \brief Add a set of indicator variables and the corresponding coefficients
* to the linear constraint.
*
* \param[in] indicatorVariables Set of indicator variables which will be added
* to the linear constraint.
* \param[in] coefficients Set of coefficients for the indicator variables.
*/
/*! \fn void LinearConstraint::add(const INDICATOR_VARIABLES_ITERATOR_TYPE indicatorVariablesBegin, const INDICATOR_VARIABLES_ITERATOR_TYPE indicatorVariablesEnd, const COEFFICIENTS_ITERATOR_TYPE coefficientsBegin)
* \brief Add a set of indicator variables and the corresponding coefficients
* to the linear constraint.
*
* \tparam INDICATOR_VARIABLES_ITERATOR_TYPE Iterator type to iterate over the
* set of indicator variables.
* \tparam COEFFICIENTS_ITERATOR_TYPE Iterator type to iterate over the set of
* coefficients for the indicator variables.
*
* \param[in] indicatorVariablesBegin Iterator pointing to the begin of the set
* of indicator variables which will be
* added to the linear constraint.
* \param[in] indicatorVariablesEnd Iterator pointing to the end of the set of
* indicator variables which will be added to
* the linear constraint.
* \param[in] coefficientsBegin Iterator pointing to the begin of the set of
* coefficients for the indicator variables.
*/
/*! \fn void LinearConstraint::setBound(const BoundType bound)
* \brief Set the bound of the linear constraint.
*
* \param[in] bound The new bound for the linear constraint.
*/
/*! \fn void LinearConstraint::setConstraintOperator(const LinearConstraintOperatorValueType constraintOperator)
* \brief Set the constraint operator for the linear constraint.
*
* \param[in] constraintOperator The new constraint operator for the linear
* constraint.
*/
/*! \fn LinearConstraint::ValueType LinearConstraint::operator()(const ITERATOR_TYPE statesBegin) const
* \brief Evaluation operator to check if the linear constraint is violated by
* the given labeling.
*
* \tparam ITERATOR_TYPE Iterator type.
*
* \param[in] statesBegin Iterator pointing to the begin of the labeling.
*
* \return The absolute value by which the constraint is violated (0.0 if the
* linear constraint is not violated).
*
* \warning No boundary check is performed.
*/
/*! \fn LinearConstraint::IndicatorVariablesIteratorType LinearConstraint::indicatorVariablesBegin() const
* \brief Get the begin iterator to the set of indicator variables.
*
* \return The const iterator pointing to the begin of the set of indicator
* variables.
*/
/*! \fn LinearConstraint::IndicatorVariablesIteratorType LinearConstraint::indicatorVariablesEnd() const
* \brief Get the end iterator to the set of indicator variables.
*
* \return The const iterator pointing to the end of the set of indicator
* variables.
*/
/*! \fn LinearConstraint::CoefficientsIteratorType LinearConstraint::coefficientsBegin() const
* \brief Get the begin iterator to the set of coefficients for the indicator
* variables.
*
* \return The const iterator pointing to the begin of the set of coefficients
* for the indicator variables.
*/
/*! \fn LinearConstraint::CoefficientsIteratorType LinearConstraint::coefficientsEnd() const
* \brief Get the end iterator to the set of coefficients for the indicator
* variables.
*
* \return The const iterator pointing to the end of the set of coefficients
* for the indicator variables.
*/
/*! \fn LinearConstraint::BoundType LinearConstraint::getBound() const
* \brief Get the bound of the linear constraint.
*
* \return The bound of the linear constraint.
*/
/*! \fn LinearConstraint::ConstraintOperatorType LinearConstraint::getConstraintOperator() const
* \brief Get the constraint operator of the linear constraint.
*
* \return The constraint operator of the linear constraint.
*/
/*! \var LinearConstraint::indicatorVariables_
* \brief Storage for the set of indicator variables.
*/
/*! \var LinearConstraint::coefficients_
* \brief Storage for the set of coefficients for the indicator variables.
*/
/*! \var LinearConstraint::bound_
* \brief Storage for the bound of the linear constraint.
*/
/*! \var LinearConstraint::constraintOperator_
* \brief Storage for the constraint operator of the linear constraint.
*/
/******************
* implementation *
******************/
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
inline LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::LinearConstraint() : indicatorVariables_(),
coefficients_(), bound_(0.0),
constraintOperator_(LinearConstraintOperatorType::LessEqual) {
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
inline LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::LinearConstraint(const IndicatorVariablesContainerType& indicatorVariables, const CoefficientsContainerType& coefficients, const BoundType bound, const LinearConstraintOperatorValueType constraintOperator)
: indicatorVariables_(indicatorVariables), coefficients_(coefficients),
bound_(bound), constraintOperator_(constraintOperator) {
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
template<class INDICATOR_VARIABLES_ITERATOR_TYPE, class COEFFICIENTS_ITERATOR_TYPE>
inline LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::LinearConstraint(const INDICATOR_VARIABLES_ITERATOR_TYPE indicatorVariablesBegin, const INDICATOR_VARIABLES_ITERATOR_TYPE indicatorVariablesEnd, const COEFFICIENTS_ITERATOR_TYPE coefficientsBegin, const BoundType bound, const LinearConstraintOperatorValueType constraintOperator)
: indicatorVariables_(indicatorVariablesBegin, indicatorVariablesEnd),
coefficients_(coefficientsBegin, coefficientsBegin + std::distance(indicatorVariablesBegin, indicatorVariablesEnd)),
bound_(bound), constraintOperator_(constraintOperator) {
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
inline LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::LinearConstraint(const LinearConstraint<ValueType, IndexType, LabelType>& linearConstraint)
: indicatorVariables_(linearConstraint.indicatorVariables_),
coefficients_(linearConstraint.coefficients_),
bound_(linearConstraint.bound_),
constraintOperator_(linearConstraint.constraintOperator_) {
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
inline void LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::reserve(const size_t numIndicatorVariables) {
indicatorVariables_.reserve(numIndicatorVariables);
coefficients_.reserve(numIndicatorVariables);
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
inline void LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::add(const IndicatorVariableType& indicatorVariable, const ValueType coefficient) {
indicatorVariables_.push_back(indicatorVariable);
coefficients_.push_back(coefficient);
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
inline void LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::add(const IndicatorVariablesContainerType& indicatorVariables, const CoefficientsContainerType& coefficients) {
indicatorVariables_.insert(indicatorVariables_.end(), indicatorVariables.begin(), indicatorVariables.end());
coefficients_.insert(coefficients_.end(), coefficients.begin(), coefficients.end());
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
template<class INDICATOR_VARIABLES_ITERATOR_TYPE, class COEFFICIENTS_ITERATOR_TYPE>
inline void LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::add(const INDICATOR_VARIABLES_ITERATOR_TYPE indicatorVariablesBegin, const INDICATOR_VARIABLES_ITERATOR_TYPE indicatorVariablesEnd, const COEFFICIENTS_ITERATOR_TYPE coefficientsBegin) {
indicatorVariables_.insert(indicatorVariables_.end(), indicatorVariablesBegin, indicatorVariablesEnd);
coefficients_.insert(coefficients_.end(), coefficientsBegin, coefficientsBegin + std::distance(indicatorVariablesBegin, indicatorVariablesEnd));
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
inline void LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::setBound(const BoundType bound) {
bound_ = bound;
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
inline void LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::setConstraintOperator(const LinearConstraintOperatorValueType constraintOperator) {
constraintOperator_ = constraintOperator;
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
template<class ITERATOR_TYPE>
inline typename LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::ValueType LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::operator()(const ITERATOR_TYPE statesBegin) const {
ValueType leftHandSide = 0.0;
for(IndexType i = 0; i < indicatorVariables_.size(); ++i) {
if(indicatorVariables_[i](statesBegin)) {
leftHandSide += coefficients_[i];
}
}
// compare left hand side against bound
const ValueType weight = leftHandSide - bound_;
switch(constraintOperator_) {
case LinearConstraintOperatorType::LessEqual : {
if(weight > 0.0) {
return weight;
} else {
return 0.0;
}
break;
}
case LinearConstraintOperatorType::Equal : {
if(weight > 0.0) {
return weight;
} else if(weight < 0.0) {
return -weight;
} else {
return 0.0;
}
break;
}
/*case LinearConstraintOperatorType::GreaterEqual : {
if(weight < 0.0) {
return -weight;
} else {
return 0.0;
}
break;
} */
default : { // default corresponds to GreaterEqual case
if(weight < 0.0) {
return -weight;
} else {
return 0.0;
}
}
}
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
inline typename LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::IndicatorVariablesIteratorType LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::indicatorVariablesBegin() const {
return indicatorVariables_.begin();
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
inline typename LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::IndicatorVariablesIteratorType LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::indicatorVariablesEnd() const {
return indicatorVariables_.end();
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
inline typename LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::CoefficientsIteratorType LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::coefficientsBegin() const {
return coefficients_.begin();
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
inline typename LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::CoefficientsIteratorType LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::coefficientsEnd() const {
return coefficients_.end();
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
inline typename LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::BoundType LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::getBound() const {
return bound_;
}
template<class VALUE_TYPE, class INDEX_TYPE, class LABEL_TYPE>
inline typename LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::LinearConstraintOperatorValueType LinearConstraint<VALUE_TYPE, INDEX_TYPE, LABEL_TYPE>::getConstraintOperator() const {
return constraintOperator_;
}
} // namespace opengm
#endif /* OPENGM_LINEAR_CONSTRAINT_HXX_ */
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