ProblemsMultiIndices.hpp

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/** \file ProblemsMultiIndices.hpp
 * \brief Multi-index containers, data structures for problems and other
 * low-level functions
 */
 
#ifndef __PROBLEMSMULTIINDICES_HPP__
#define __PROBLEMSMULTIINDICES_HPP__
 
namespace MoFEM {
 
struct Problem;
 
/**
 * Data structure created when composite problem is created
 */
struct ComposedProblemsData {
 
  std::vector<const Problem *> rowProblemsAdd;
  std::vector<const Problem *> colProblemsAdd;
 
  std::vector<SmartPetscObj<IS>> rowIs;
  std::vector<SmartPetscObj<IS>> colIs;
 
  /**
   * @brief Get the col sub dm IS 
   * 
   * @param is sub problem IS
   * @param pp problem number
   * @return MoFEMErrorCode 
   */
  inline MoFEMErrorCode getRowIs(IS *is, const unsigned int pp) const;
 
  /**
   * @brief Get the Col sub dm IS object
   * 
   * @param is sub problem IS
   * @param pp problem number
   * @return MoFEMErrorCode 
   */
  inline MoFEMErrorCode getColIs(IS *is, const unsigned int pp) const;
 
  virtual ~ComposedProblemsData() = default;
};
 
/** \brief keeps basic data about problem
 * \ingroup problems_multi_indices
 *
 * This is low level structure with information about problem, what elements
 * compose problem and what DOFs are on rows and columns.
 *
 * \todo fix names following name convention
 *
 */
struct Problem {
 
  EntityHandle meshset; ///< Problem meshset (on tag of this meshset all data
                        ///< related to problem are stored)
  BitProblemId *tagId;  ///< Unique problem ID
  const char *tagName;  ///< Problem name
  int tagNameSize;      ///< Size of problem name
  BitFEId *tagBitFEId;  ///< IDs of finite elements in problem
  BitRefLevel *tagBitRefLevel; ///< BitRef level of finite elements in problem
  BitRefLevel *tagBitRefLevelMask; ///< BItRefMask of elements in problem
 
  mutable DofIdx nbDofsRow;      ///< Global number of DOFs in  row
  mutable DofIdx nbDofsCol;      ///< Global number of DOFs in col
  mutable DofIdx nbLocDofsRow;   ///< Local number of DOFs in row
  mutable DofIdx nbLocDofsCol;   ///< Local number of DOFs in colIs
  mutable DofIdx nbGhostDofsRow; ///< Number of ghost DOFs in row
  mutable DofIdx nbGhostDofsCol; ///< Number of ghost DOFs in col
 
  mutable boost::shared_ptr<NumeredDofEntity_multiIndex>
      numeredRowDofsPtr; ///< store DOFs on rows for this problem
  mutable boost::shared_ptr<NumeredDofEntity_multiIndex>
      numeredColDofsPtr; ///< store DOFs on columns for this problem
  mutable boost::shared_ptr<NumeredEntFiniteElement_multiIndex>
      numeredFiniteElementsPtr; ///< store finite elements
 
  /**
   * \brief get access to numeredRowDofsPtr storing DOFs on rows
   */
  inline auto &getNumeredRowDofsPtr() const { return numeredRowDofsPtr; }
 
  /**
   * \brief get access to numeredColDofsPtr storing DOFs on cols
   */
  inline auto &getNumeredColDofsPtr() const { return numeredColDofsPtr; }
 
  /**
   * \brief get access to reference for multi-index storing finite elements
   */
  inline const auto &getNumeredFiniteElementsPtr() const {
    return numeredFiniteElementsPtr;
  }
 
  /**
   * @brief Erase elements by entities
   *
   * @param entities
   * @return MoFEMErrorCode
   */
  MoFEMErrorCode eraseElements(Range entities) const;
 
  /**
   * \brief Subproblem problem data
   */
  struct SubProblemData;
 
  /**
   * Pointer to data structure. This pointer has allocated data only for
   * sub problems.
   */
  mutable boost::shared_ptr<SubProblemData> subProblemData;
 
  /**
   * \brief Get main problem of sub-problem is
   * @return    sub problem data structure
   */
  inline boost::shared_ptr<SubProblemData> &getSubData() const {
    return subProblemData;
  }
 
  /**
   * Pointer to data structure from which this problem is composed
   */
  mutable boost::shared_ptr<ComposedProblemsData> composedProblemsData;
 
  /**
   * \brief Het composed problems data structure
   */
  inline auto &getComposedProblemsData() const { return composedProblemsData; }
 
  /**
   * \brief get DOFs from problem
   *
   * Note that \e ent_dof_idx is not coefficient number, is local number of DOFs
   * on the entity. The coefficient number and local index of DOFs or entity are
   * the same on vertices and H1 approximation.
   *
   * @param  field_bit_number       field name field_bit_number = (use
   * m_field.get_field_bit_number(field_name);
   * @param  ent        entity handle
   * @param  ent_dof_idx index of DOFs on entity
   * @param  row_or_col ROW or COL
   * @param  dof_ptr    shared pointer to DOFs if found
   * @return            error code
   */
  MoFEMErrorCode getDofByNameEntAndEntDofIdx(
      const int field_bit_number, const EntityHandle ent, const int ent_dof_idx,
      const RowColData row_or_col,
      boost::shared_ptr<NumeredDofEntity> &dof_ptr) const;
 
/**
 * \brief use with loops to iterate row DOFs
 * \ingroup problems_multi_indices
 *
 * \code
 * for(_IT_NUMEREDDOF_ROW_FOR_LOOP_(PROBLEMPTR,IT)) {
 *   ...
 * }
 * \endcode
 *
 */
#define _IT_NUMEREDDOF_ROW_FOR_LOOP_(PROBLEMPTR, IT)                           \
  NumeredDofEntity_multiIndex::iterator IT =                                   \
      PROBLEMPTR->getNumeredRowDofsBegin();                                    \
  IT != PROBLEMPTR->getNumeredRowDofsEnd();                                    \
  IT++
 
/**
 * use with loops to iterate col DOFs
 * \ingroup problems_multi_indices
 *
 * \code
 * for(_IT_NUMEREDDOF_COL_FOR_LOOP_(PROBLEMPTR,IT)) {
 *   ...
 * }
 * \endcode
 *
 */
#define _IT_NUMEREDDOF_COL_FOR_LOOP_(PROBLEMPTR, IT)                           \
  NumeredDofEntity_multiIndex::iterator IT =                                   \
      PROBLEMPTR->getNumeredColDofsBegin();                                    \
  IT != PROBLEMPTR->getNumeredColDofsEnd();                                    \
  IT++
 
  /// get begin iterator for numeredRowDofsPtr (insted you can use
  /// #_IT_NUMEREDDOFMOFEMENTITY_ROW_FOR_LOOP_ for loops)
  NumeredDofEntity_multiIndex::iterator getNumeredRowDofsBegin() const {
    return numeredRowDofsPtr->begin();
  }
 
  /// get end iterator for numeredRowDofsPtr (insted you can use
  /// #_IT_NUMEREDDOFMOFEMENTITY_ROW_FOR_LOOP_ for loops)
  NumeredDofEntity_multiIndex::iterator getNumeredRowDofsEnd() const {
    return numeredRowDofsPtr->end();
  }
 
  /// get begin iterator for numeredColDofsPtr (insted you can use
  /// #_IT_NUMEREDDOFMOFEMENTITY_COL_FOR_LOOP_ for loops)
  NumeredDofEntity_multiIndex::iterator getNumeredColDofsBegin() const {
    return numeredColDofsPtr->begin();
  }
 
  /// get end iterator for numeredColDofsPtr (insted you can use
  /// #_IT_NUMEREDDOFMOFEMENTITY_COL_FOR_LOOP_ for loops)
  NumeredDofEntity_multiIndex::iterator getNumeredColDofsEnd() const {
    return numeredColDofsPtr->end();
  }
 
/**
 * \brief use with loops to iterate row DOFs
 * \ingroup problems_multi_indices
 *
 * \code
 * for(_IT_NUMEREDDOF_ROW_BY_LOCIDX_FOR_LOOP_(PROBLEMPTR,IT)) {
 *   ...
 * }
 * \endcode
 *
 */
#define _IT_NUMEREDDOF_ROW_BY_LOCIDX_FOR_LOOP_(PROBLEMPTR, IT)                 \
  NumeredDofEntityByLocalIdx::iterator IT =                                    \
      PROBLEMPTR->getNumeredRowDofsByLocIdxBegin(0);                           \
  IT != PROBLEMPTR->getNumeredRowDofsByLocIdxEnd(                              \
            PROBLEMPTR->getNbLocalDofsRow() - 1);                              \
  IT++
 
/**
 * \brief use with loops to iterate col DOFs
 *
 * \code
 * for(_IT_NUMEREDDOF_COL_BY_LOCIDX_FOR_LOOP_(PROBLEMPTR,IT)) {
 *   ...
 * }
 * \endcode
 *
 */
#define _IT_NUMEREDDOF_COL_BY_LOCIDX_FOR_LOOP_(PROBLEMPTR, IT)                 \
  NumeredDofEntityByUId::iterator IT =                                         \
      PROBLEMPTR->getNumeredColDofsByLocIdxBegin(0);                           \
  IT != PROBLEMPTR->getNumeredColDofsByLocIdxEnd(                              \
            PROBLEMPTR->getNbLocalDofsRow() - 1);                              \
  IT++
 
  /// get begin iterator for numeredRowDofsPtr (insted you can use
  /// #_IT_NUMEREDDOF_ROW_FOR_LOOP_ for loops)
  auto getNumeredRowDofsByLocIdxBegin(const DofIdx locidx) const {
    return numeredRowDofsPtr->get<PetscLocalIdx_mi_tag>().lower_bound(locidx);
  }
 
  /// get end iterator for numeredRowDofsPtr (insted you can use
  /// #_IT_NUMEREDDOF_ROW_FOR_LOOP_ for loops)
  auto getNumeredRowDofsByLocIdxEnd(const DofIdx locidx) const {
    return numeredRowDofsPtr->get<PetscLocalIdx_mi_tag>().upper_bound(locidx);
  }
 
  /// get begin iterator for numeredColDofsPtr (insted you can use
  /// #_IT_NUMEREDDOF_COL_FOR_LOOP_ for loops)
  auto getNumeredColDofsByLocIdxBegin(const DofIdx locidx) const {
    return numeredColDofsPtr->get<PetscLocalIdx_mi_tag>().lower_bound(locidx);
  }
 
  /// get end iterator for numeredColDofsPtr (insted you can use
  /// #_IT_NUMEREDDOF_COL_FOR_LOOP_ for loops)
  auto getNumeredColDofsByLocIdxEnd(const DofIdx locidx) const {
    return numeredColDofsPtr->get<PetscLocalIdx_mi_tag>().upper_bound(locidx);
  }
 
/**
 * \brief use with loops to iterate row DOFs
 * \ingroup problems_multi_indices
 *
 * \code
 * for(_IT_NUMEREDDOF_BY_ENT_ROW_FOR_LOOP_(PROBLEMPTR,ENT,IT)) {
 *   ...
 * }
 * \endcode
 *
 */
#define _IT_NUMEREDDOF_ROW_BY_ENT_FOR_LOOP_(PROBLEMPTR, ENT, IT)               \
  auto IT = PROBLEMPTR->getNumeredRowDofsByEntBegin(ENT);                      \
  IT != PROBLEMPTR->getNumeredRowDofsByEntEnd(ENT);                            \
  IT++
 
/**
 * \brief use with loops to iterate col DOFs
 * \ingroup problems_multi_indices
 *
 * \code
 * for(_IT_NUMEREDDOF_COL_BY_ENT_FOR_LOOP_(PROBLEMPTR,ENT,IT)) {
 *   ...
 * }
 * \endcode
 *
 */
#define _IT_NUMEREDDOF_COL_BY_ENT_FOR_LOOP_(PROBLEMPTR, ENT, IT)               \
  auto IT = PROBLEMPTR->getNumeredColDofsByEntBegin(ENT);                      \
  IT != PROBLEMPTR->getNumeredColDofsByEntEnd(ENT);                            \
  IT++
 
  /// get begin iterator for numeredRowDofsPtr (insted you can use
  /// #_IT_NUMEREDDOF_ROW_BY_ENT_FOR_LOOP_ for loops)
  auto getNumeredRowDofsByEntBegin(const EntityHandle ent) const {
    return numeredRowDofsPtr->get<Ent_mi_tag>().lower_bound(ent);
  }
 
  /// get end iterator for numeredRowDofsPtr (insted you can use
  /// #_IT_NUMEREDDOF_ROW_BY_ENT_FOR_LOOP_ for loops)
  auto getNumeredRowDofsByEntEnd(const EntityHandle ent) const {
    return numeredRowDofsPtr->get<Ent_mi_tag>().upper_bound(ent);
  }
 
  /// get begin iterator for numeredColDofsPtr (insted you can use
  /// #_IT_NUMEREDDOF_COL_BY_ENT_FOR_LOOP_ for loops)
  auto getNumeredColDofsByEntBegin(const EntityHandle ent) const {
    return numeredColDofsPtr->get<Ent_mi_tag>().lower_bound(ent);
  }
 
  /// get end iterator for numeredColDofsPtr (insted you can use
  /// #_IT_NUMEREDDOF_COL_BY_ENT_FOR_LOOP_ for loops)
  auto getNumeredColDofsByEntEnd(const EntityHandle ent) const {
    return numeredColDofsPtr->get<Ent_mi_tag>().upper_bound(ent);
  }
 
/**
 * use with loops to iterate row DOFs
 * \ingroup problems_multi_indices
 *
 * \code
 * for(_IT_NUMEREDDOF_BY_NAME_ROW_FOR_LOOP_(PROBLEMPTR,m_field.get_field_bit_number(FIELD_BIT_NUMBER),IT))
 * {
 *   ...
 * }
 * \endcode
 *
 */
#define _IT_NUMEREDDOF_ROW_BY_BITNUMBER_FOR_LOOP_(PROBLEMPTR,                  \
                                                  FIELD_BIT_NUMBER, IT)        \
  auto IT = PROBLEMPTR->numeredRowDofsPtr->lower_bound(                        \
      FieldEntity::getLoBitNumberUId(FIELD_BIT_NUMBER));                       \
  IT != PROBLEMPTR->numeredRowDofsPtr->upper_bound(                            \
            FieldEntity::getHiBitNumberUId(FIELD_BIT_NUMBER));                 \
  IT++
 
/**
 * \brief use with loops to iterate col DOFs
 * \ingroup problems_multi_indices
 *
 * \code
 * for(_IT_NUMEREDDOF_COL_BY_BITNUMBER_FOR_LOOP_(PROBLEMPTR,m_field.get_field_bit_number(FIELD_BIT_NUMBER),IT))
 * {
 *   ...
 * }
 * \endcode
 *
 */
#define _IT_NUMEREDDOF_COL_BY_BITNUMBER_FOR_LOOP_(PROBLEMPTR,                  \
                                                  FIELD_BIT_NUMBER, IT)        \
  auto IT = PROBLEMPTR->numeredColDofsPtr->lower_bound(                        \
      FieldEntity::getLoBitNumberUId(FIELD_BIT_NUMBER));                       \
  IT != PROBLEMPTR->numeredColDofsPtr->upper_bound(                            \
            FieldEntity::getHiBitNumberUId(FIELD_BIT_NUMBER));                 \
  IT++
 
  Problem(Interface &moab, const EntityHandle meshset);
 
  virtual ~Problem() = default;
 
  inline BitProblemId getId() const { return *((BitProblemId *)tagId); }
 
  inline auto getName() const {
    return std::string((char *)tagName, tagNameSize);
  }
 
  inline DofIdx getNbDofsRow() const { return nbDofsRow; }
  inline DofIdx getNbDofsCol() const { return nbDofsCol; }
  inline DofIdx getNbLocalDofsRow() const { return nbLocDofsRow; }
  inline DofIdx getNbLocalDofsCol() const { return nbLocDofsCol; }
  inline DofIdx getNbGhostDofsRow() const { return nbGhostDofsRow; }
  inline DofIdx getNbGhostDofsCol() const { return nbGhostDofsCol; }
 
  inline BitRefLevel getBitRefLevel() const { return *tagBitRefLevel; }
  inline BitRefLevel getBitRefLevelMask() const { return *tagBitRefLevelMask; }
 
  // DEPRECATED inline BitRefLevel getMaskBitRefLevel() const {
  //   return *tagBitRefLevelMask;
  // }
 
  /**
   * @brief Get the Row Dofs By Petsc Global Dof Idx object
   *
   * @param idx
   * @param dof_ptr
   * @param bh
   * @return MoFEMErrorCode
   */
  MoFEMErrorCode getRowDofsByPetscGlobalDofIdx(DofIdx idx,
                                               const NumeredDofEntity **dof_ptr,
                                               MoFEMTypes bh = MF_EXIST) const;
 
  /**
   * @brief Get the Col Dofs By Petsc Global Dof Idx object
   *
   * @param idx
   * @param dof_ptr
   * @param bh
   * @return MoFEMErrorCode
   */
  MoFEMErrorCode getColDofsByPetscGlobalDofIdx(DofIdx idx,
                                               const NumeredDofEntity **dof_ptr,
                                               MoFEMTypes bh = MF_EXIST) const;
 
  /**
   * @brief Get the Row Dofs By Petsc Global Dof Idx object
   *
   * @param idx
   * @return boost::weak_ptr<NumeredDofEntity>
   */
  boost::weak_ptr<NumeredDofEntity>
  getRowDofsByPetscGlobalDofIdx(DofIdx idx) const;
 
  /**
   * @brief Get the Col Dofs By Petsc Global Dof Idx object
   *
   * @param idx
   * @return boost::weak_ptr<NumeredDofEntity>
   */
  boost::weak_ptr<NumeredDofEntity>
  getColDofsByPetscGlobalDofIdx(DofIdx idx) const;
 
  BitFEId getBitFEId() const;
 
  friend std::ostream &operator<<(std::ostream &os, const Problem &e);
 
  /**
   * \brief Get number of finite elements by name on processors
   *
   * Size retuned IS is equal to size of processors.
   *
   * What PetscLayout see,
   <http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/IS/index.html>
   *
   * Example of usage for layout
   * \code
 
   PetscInt rstart, rend;
   ierr = PetscLayoutGetRange(layout, &rstart, &rend); CHKERRG(ierr);
   int global_size;
   ierr = PetscLayoutGetSize(layout,&global_size); CHKERRG(ierr);
 
   \endcode
   *
   * @param  comm Communicator
   * @param  name Finite element name
   * @param  layout Get number of elements on each processor
   * @return      error code
   */
  MoFEMErrorCode getNumberOfElementsByNameAndPart(MPI_Comm comm,
                                                  const std::string name,
                                                  PetscLayout *layout) const;
 
  /**
   * \brief Get number of finite elements on processors
   *
   * Size retuned IS is equal to size of processors.
   *
   * What PetscLayout see,
   <http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/IS/index.html>
   *
   * Example of usage for layout
   * \code
 
   PetscInt rstart, rend;
   ierr = PetscLayoutGetRange(layout, &rstart, &rend); CHKERRG(ierr);
   int global_size;
   ierr = PetscLayoutGetSize(layout,&global_size); CHKERRG(ierr);
 
   \endcode
   *
   * @param  comm Communicator
   * @param  layout Get number of elements on each processor
   * @return      error code
   */
  MoFEMErrorCode getNumberOfElementsByPart(MPI_Comm comm,
                                           PetscLayout *layout) const;
 
  typedef multi_index_container<boost::weak_ptr<std::vector<NumeredDofEntity>>,
                                indexed_by<sequenced<>>>
      SequenceDofContainer;
 
  /**
   * \brief Get reference to sequence data numbered dof container
   *
   * In sequence data container data are physically stored. The purpose of this
   * is to allocate NumeredDofEntity data in bulk, having only one allocation
   instead
   * each time entity is inserted. That makes code efficient.
   *
   * The vector in sequence is destroyed if last entity inside that vector is
   * destroyed. All MoFEM::NumeredDofEntity have aliased shared_ptr which points
   to the vector.
 
   * @return MoFEM::Problem::SequenceDofContainer
   */
  inline auto &getRowDofsSequence() const { return sequenceRowDofContainer; }
 
  /**
   * \brief Get reference to sequence data numbered dof container
   *
   * In sequence data container data are physically stored. The purpose of this
   * is to allocate NumeredDofEntity data in bulk, having only one allocation
   instead
   * each time entity is inserted. That makes code efficient.
   *
   * The vector in sequence is destroyed if last entity inside that vector is
   * destroyed. All MoFEM::NumeredDofEntity have aliased shared_ptr which points
   to the vector.
 
   * @return MoFEM::Problem::SequenceDofContainer
   */
  inline auto &getColDofsSequence() const { return sequenceColDofContainer; }
 
  using EmptyFieldBlocks = std::pair<BitFieldId, BitFieldId>;
 
  /**
   * @brief Get the empty field blocks
   *
   * Emtpy field blocks is a pair contains IDs of the fields for which matrix
   * has zero entries.
   *
   * @return EmptyFieldBlocks&
   */
  inline EmptyFieldBlocks &getEmptyFieldBlocks() const {
    return emptyFieldBlocks;
  }
 
  /**
   * @brief Add fields to the empty field blocks
   *
   * Emtpy field blocks is a pair contains IDs of the fields for which matrix
   * has zero entries.
   *
   * @param add_fields
   * @return EmptyFieldBlocks&
   */
  inline EmptyFieldBlocks &
  addFieldToEmptyFieldBlocks(const EmptyFieldBlocks add_fields) const {
    emptyFieldBlocks.first |= add_fields.first;
    emptyFieldBlocks.second |= add_fields.second;
    return emptyFieldBlocks;
  }
 
private:
  // Keep vector of DoFS on entity
  mutable boost::shared_ptr<SequenceDofContainer> sequenceRowDofContainer;
  mutable boost::shared_ptr<SequenceDofContainer> sequenceColDofContainer;
 
  mutable EmptyFieldBlocks emptyFieldBlocks;
};
 
using EmptyFieldBlocks = Problem::EmptyFieldBlocks;
 
/**
 * \brief Subproblem problem data
 */
struct Problem::SubProblemData {
 
  SmartPetscObj<IS>
      rowIs; ///< indices of main problem of which sub problem is this
  SmartPetscObj<IS>
      colIs; ///< indices of main problem of which sub problem is this
  SmartPetscObj<AO>
      rowMap; ///< mapping form main problem indices to sub-problem indices
  SmartPetscObj<AO>
      colMap; ///< mapping form main problem indices to sub-problem indices
 
  inline auto getSmartRowIs() { return rowIs; }
  inline auto getSmartColIs() { return colIs; }
  inline auto getSmartRowMap() { return rowMap; }
  inline auto getSmartColMap() { return colMap; }
 
  /**
   * get row Is for sub problem
   * @param  is create is
   * @return    error code
   */
  inline MoFEMErrorCode getRowIs(IS *is) {
    MoFEMFunctionBeginHot;
    *is = rowIs;
    PetscObjectReference((PetscObject)(*is));
    MoFEMFunctionReturnHot(0);
  }
 
  /**
   * get col Is for sub problem
   * @param  is create is
   * @return    error code
   */
  inline MoFEMErrorCode getColIs(IS *is) {
    MoFEMFunctionBeginHot;
    *is = colIs;
    PetscObjectReference((PetscObject)(*is));
    MoFEMFunctionReturnHot(0);
  };
 
  /**
   * get row AO mapping for sub problem
   * @param  ao get mapping
   * @return    error code
   */
  inline MoFEMErrorCode getRowMap(AO *ao) {
    MoFEMFunctionBeginHot;
    *ao = rowMap;
    PetscObjectReference((PetscObject)(*ao));
    MoFEMFunctionReturnHot(0);
  }
 
  /**
   * get col AO mapping for sub problem
   * @param  ao get mapping
   * @return    error code
   */
  inline MoFEMErrorCode getColMap(AO *ao) {
    MoFEMFunctionBeginHot;
    *ao = colMap;
    PetscObjectReference((PetscObject)(*ao));
    MoFEMFunctionReturnHot(0);
  }
 
  SubProblemData() = default;
  virtual ~SubProblemData() = default;
};
 
using EmptyFieldBlocks = Problem::EmptyFieldBlocks;
 
/**
 * @relates multi_index_container
 * \brief MultiIndex for entities for Problem
 * \ingroup fe_multi_indices
 */
typedef multi_index_container<
    Problem,
    indexed_by<
        ordered_unique<tag<Meshset_mi_tag>,
                       member<Problem, EntityHandle, &Problem::meshset>>,
        hashed_unique<tag<BitProblemId_mi_tag>,
                      const_mem_fun<Problem, BitProblemId, &Problem::getId>,
                      HashBit<BitProblemId>, EqBit<BitProblemId>>,
        hashed_unique<tag<Problem_mi_tag>,
                      const_mem_fun<Problem, std::string, &Problem::getName>>>>
    Problem_multiIndex;
 
/** \brief add ref level to problem
 * \ingroup problems_multi_indices
 */
struct ProblemChangeRefLevelBitAdd {
  BitRefLevel bit;
  ProblemChangeRefLevelBitAdd(const BitRefLevel _bit) : bit(_bit){};
  void operator()(Problem &p) { *(p.tagBitRefLevel) |= bit; };
};
 
/** \brief set ref level to problem
 * \ingroup problems_multi_indices
 */
struct ProblemChangeRefLevelBitSet {
  BitRefLevel bit;
  ProblemChangeRefLevelBitSet(const BitRefLevel _bit) : bit(_bit){};
  void operator()(Problem &p) { *(p.tagBitRefLevel) = bit; };
};
 
/** \brief set prof dof bit ref mask
 * \ingroup problems_multi_indices
 */
struct ProblemChangeRefLevelBitDofMaskSet {
  BitRefLevel bit;
  ProblemChangeRefLevelBitDofMaskSet(const BitRefLevel _bit) : bit(_bit){};
  void operator()(Problem &p) { *(p.tagBitRefLevelMask) = bit; };
};
 
/** \brief add finite element to problem
 * \ingroup problems_multi_indices
 */
struct ProblemFiniteElementChangeBitAdd {
  BitFEId f_id;
  ProblemFiniteElementChangeBitAdd(const BitFEId _f_id) : f_id(_f_id){};
  void operator()(Problem &p);
};
 
/** \brief set prof dof bit ref mask
 * \ingroup problems_multi_indices
 */
struct ProblemChangeRefLevelBitDofMaskAdd {
  BitRefLevel bit;
  ProblemChangeRefLevelBitDofMaskAdd(const BitRefLevel _bit) : bit(_bit){};
  void operator()(Problem &p) { *(p.tagBitRefLevelMask) |= bit; };
};
 
/** \brief remove finite element from problem
 * \ingroup problems_multi_indices
 */
struct ProblemFiniteElementChangeBitUnSet {
  BitFEId f_id;
  ProblemFiniteElementChangeBitUnSet(const BitFEId _f_id) : f_id(_f_id){};
  void operator()(Problem &p);
};
 
/** \brief zero nb. of DOFs in row
 * \ingroup problems_multi_indices
 */
struct ProblemZeroNbRowsChange {
  void operator()(Problem &e);
};
 
/** \brief zero nb. of DOFs in col
 * \ingroup problems_multi_indices
 */
struct ProblemZeroNbColsChange {
  void operator()(Problem &e);
};
 
/** \brief clear problem finite elements
 * \ingroup problems_multi_indices
 */
struct ProblemClearNumeredFiniteElementsChange {
  void operator()(Problem &e);
};
 
/**
 * \brief Clear sub-problem data structure
 */
struct ProblemClearSubProblemData {
  void operator()(Problem &e) { e.subProblemData.reset(); }
};
 
/**
 * \brief Clear composed problem data structure
 */
struct ProblemClearComposedProblemData {
  void operator()(Problem &e) { e.composedProblemsData.reset(); }
};
 
inline MoFEMErrorCode
ComposedProblemsData::getRowIs(IS *is, const unsigned int pp) const {
  MoFEMFunctionBeginHot;
  if (pp <= rowIs.size()) {
    SETERRQ1(PETSC_COMM_WORLD, MOFEM_INVALID_DATA, "Exceed size of array pp<%d",
             rowIs.size());
  }
  *is = rowIs[pp].get();
  PetscObjectReference((PetscObject)(*is));
  MoFEMFunctionReturnHot(0);
}
 
inline MoFEMErrorCode
ComposedProblemsData::getColIs(IS *is, const unsigned int pp) const {
  MoFEMFunctionBeginHot;
  if (pp <= colIs.size()) {
    SETERRQ1(PETSC_COMM_WORLD, MOFEM_INVALID_DATA, "Exceed size of array pp<%d",
             colIs.size());
  }
  *is = colIs[pp].get();
  PetscObjectReference((PetscObject)(*is));
  MoFEMFunctionReturnHot(0);
}
 
} // namespace MoFEM
 
#endif //__PROBLEMSMULTIINDICES_HPP__
 
/**
 * \defgroup problems_multi_indices Problems structures and multi-indices
 * \ingroup mofem
 ******************************************************************************/