AssemblyMap.h

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///////////////////////////////////////////////////////////////////////////////
//
// File: AssemblyMap.h
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
// Department of Aeronautics, Imperial College London (UK), and Scientific
// Computing and Imaging Institute, University of Utah (USA).
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
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// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
//
// Description: Assembly (e.g. local to global) base mapping routines
//
///////////////////////////////////////////////////////////////////////////////
 
#ifndef MULTIREGIONS_ASSEMBLY_MAP_H
#define MULTIREGIONS_ASSEMBLY_MAP_H
 
#include <LibUtilities/Communication/Comm.h>
#include <LibUtilities/Communication/GsLib.hpp>
#include <MultiRegions/MultiRegions.hpp>
#include <MultiRegions/MultiRegionsDeclspec.h>
#include <MultiRegions/SubStructuredGraph.h>
#include <vector>
 
namespace Nektar
{
namespace MultiRegions
{
// Forward declarations
class AssemblyMap;
class ExpList;
typedef std::shared_ptr<AssemblyMap> AssemblyMapSharedPtr;
static AssemblyMapSharedPtr NullAssemblyMapSharedPtr;
 
/// Base class for constructing local to global mapping of degrees of
/// freedom.
class AssemblyMap
{
public:
    /// Default constructor.
    MULTI_REGIONS_EXPORT AssemblyMap();
    /// Constructor with a communicator
    MULTI_REGIONS_EXPORT AssemblyMap(
        const LibUtilities::SessionReaderSharedPtr &pSession,
        const LibUtilities::CommSharedPtr &comm,
        const std::string variable = "DefaultVar");
 
    /// Constructor for next level in multi-level static condensation.
    MULTI_REGIONS_EXPORT AssemblyMap(
        AssemblyMap *oldLevelMap,
        const BottomUpSubStructuredGraphSharedPtr &multiLevelGraph);
    /// Destructor.
    MULTI_REGIONS_EXPORT virtual ~AssemblyMap();
 
    /// Retrieves the communicator
    MULTI_REGIONS_EXPORT LibUtilities::CommSharedPtr GetComm();
 
    /// Retrieves the variable string
    MULTI_REGIONS_EXPORT std::string GetVariable();
 
    /// Retrieves the hash of this map
    MULTI_REGIONS_EXPORT size_t GetHash() const;
 
    MULTI_REGIONS_EXPORT int GetLocalToGlobalMap(const int i) const;
 
    MULTI_REGIONS_EXPORT int GetGlobalToUniversalMap(const int i) const;
 
    MULTI_REGIONS_EXPORT int GetGlobalToUniversalMapUnique(const int i) const;
 
    MULTI_REGIONS_EXPORT const Array<OneD, const int> &GetLocalToGlobalMap();
 
    MULTI_REGIONS_EXPORT const Array<OneD, const int>
        &GetGlobalToUniversalMap();
 
    MULTI_REGIONS_EXPORT const Array<OneD, const int>
        &GetGlobalToUniversalMapUnique();
 
    MULTI_REGIONS_EXPORT NekDouble GetLocalToGlobalSign(const int i) const;
 
    MULTI_REGIONS_EXPORT const Array<OneD, NekDouble> &GetLocalToGlobalSign()
        const;
 
    MULTI_REGIONS_EXPORT void LocalToGlobal(
        const Array<OneD, const NekDouble> &loc, Array<OneD, NekDouble> &global,
        bool useComm = true) const;
 
    MULTI_REGIONS_EXPORT void LocalToGlobal(const NekVector<NekDouble> &loc,
                                            NekVector<NekDouble> &global,
                                            bool useComm = true) const;
 
    MULTI_REGIONS_EXPORT void GlobalToLocal(
        const Array<OneD, const NekDouble> &global,
        Array<OneD, NekDouble> &loc) const;
 
    MULTI_REGIONS_EXPORT void GlobalToLocal(const NekVector<NekDouble> &global,
                                            NekVector<NekDouble> &loc) const;
 
    MULTI_REGIONS_EXPORT void Assemble(const Array<OneD, const NekDouble> &loc,
                                       Array<OneD, NekDouble> &global) const;
 
    MULTI_REGIONS_EXPORT void Assemble(const NekVector<NekDouble> &loc,
                                       NekVector<NekDouble> &global) const;
 
    MULTI_REGIONS_EXPORT void UniversalAssemble(
        Array<OneD, NekDouble> &pGlobal) const;
 
    MULTI_REGIONS_EXPORT void UniversalAssemble(
        NekVector<NekDouble> &pGlobal) const;
 
    MULTI_REGIONS_EXPORT void UniversalAssemble(Array<OneD, NekDouble> &pGlobal,
                                                int offset) const;
 
    MULTI_REGIONS_EXPORT void UniversalAbsMaxBnd(
        Array<OneD, NekDouble> &bndvals);
 
    /// Retrieve the global index of a given local boundary mode.
    MULTI_REGIONS_EXPORT int GetLocalToGlobalBndMap(const int i) const;
    /// Retrieve the global indices of the local boundary modes.
    MULTI_REGIONS_EXPORT const Array<OneD, const int> &GetLocalToGlobalBndMap();
 
    MULTI_REGIONS_EXPORT const Array<OneD, const int>
        &GetGlobalToUniversalBndMap();
 
    MULTI_REGIONS_EXPORT const Array<OneD, const int>
        &GetGlobalToUniversalBndMapUnique();
 
    /// Returns true if using a modal expansion requiring a change of
    /// sign of some modes.
    MULTI_REGIONS_EXPORT bool GetSignChange();
 
    /// Retrieve the sign change of a given local boundary mode.
    MULTI_REGIONS_EXPORT NekDouble GetLocalToGlobalBndSign(const int i) const;
    /// Retrieve the sign change for all local boundary modes.
    MULTI_REGIONS_EXPORT Array<OneD, const NekDouble> GetLocalToGlobalBndSign()
        const;
    /// Retrieves the local indices corresponding to the
    /// boundary expansion modes.
    MULTI_REGIONS_EXPORT const Array<OneD, const int>
        &GetBndCondCoeffsToLocalCoeffsMap();
    /// Returns the modal sign associated with a given
    /// boundary expansion mode.
    MULTI_REGIONS_EXPORT const Array<OneD, NekDouble>
        &GetBndCondCoeffsToLocalCoeffsSign();
 
    /// Retrieves the local indices corresponding to the
    /// boundary expansion modes to global trace
    MULTI_REGIONS_EXPORT const Array<OneD, const int>
        &GetBndCondCoeffsToLocalTraceMap();
 
    /// Returns the global index of the boundary trace giving the
    /// index on the boundary expansion
    MULTI_REGIONS_EXPORT int GetBndCondIDToGlobalTraceID(const int i);
    MULTI_REGIONS_EXPORT const Array<OneD, const int>
        &GetBndCondIDToGlobalTraceID();
 
    /// Returns the number of global Dirichlet boundary coefficients.
    MULTI_REGIONS_EXPORT int GetNumGlobalDirBndCoeffs() const;
    /// Returns the number of local Dirichlet boundary coefficients.
    MULTI_REGIONS_EXPORT int GetNumLocalDirBndCoeffs() const;
    /// Returns the total number of global boundary coefficients.
    MULTI_REGIONS_EXPORT int GetNumGlobalBndCoeffs() const;
    /// Returns the total number of local boundary coefficients.
    MULTI_REGIONS_EXPORT int GetNumLocalBndCoeffs() const;
    /// Returns the total number of local coefficients.
    MULTI_REGIONS_EXPORT int GetNumLocalCoeffs() const;
    /// Returns the total number of global coefficients.
    MULTI_REGIONS_EXPORT int GetNumGlobalCoeffs() const;
    /// Retrieves if the system is singular (true) or not (false)
    MULTI_REGIONS_EXPORT bool GetSingularSystem() const;
 
    ///
    MULTI_REGIONS_EXPORT void GlobalToLocalBnd(
        const NekVector<NekDouble> &global, NekVector<NekDouble> &loc,
        int offset) const;
 
    MULTI_REGIONS_EXPORT void GlobalToLocalBnd(
        const NekVector<NekDouble> &global, NekVector<NekDouble> &loc) const;
 
    MULTI_REGIONS_EXPORT void GlobalToLocalBnd(
        const Array<OneD, const NekDouble> &global, Array<OneD, NekDouble> &loc,
        int offset) const;
 
    MULTI_REGIONS_EXPORT void GlobalToLocalBnd(
        const Array<OneD, const NekDouble> &global,
        Array<OneD, NekDouble> &loc) const;
 
    MULTI_REGIONS_EXPORT void LocalBndToGlobal(
        const Array<OneD, const NekDouble> &loc, Array<OneD, NekDouble> &global,
        int offset, bool UseComm = true) const;
 
    MULTI_REGIONS_EXPORT void LocalBndToGlobal(
        const Array<OneD, const NekDouble> &loc, Array<OneD, NekDouble> &global,
        bool UseComm = true) const;
 
    MULTI_REGIONS_EXPORT void LocalToLocalBnd(
        const Array<OneD, const NekDouble> &local,
        Array<OneD, NekDouble> &locbnd) const;
 
    MULTI_REGIONS_EXPORT void LocalToLocalInt(
        const Array<OneD, const NekDouble> &local,
        Array<OneD, NekDouble> &locint) const;
 
    MULTI_REGIONS_EXPORT void LocalBndToLocal(
        const Array<OneD, const NekDouble> &locbnd,
        Array<OneD, NekDouble> &local) const;
 
    MULTI_REGIONS_EXPORT void LocalIntToLocal(
        const Array<OneD, const NekDouble> &locbnd,
        Array<OneD, NekDouble> &local) const;
 
    MULTI_REGIONS_EXPORT void AssembleBnd(const NekVector<NekDouble> &loc,
                                          NekVector<NekDouble> &global,
                                          int offset) const;
 
    MULTI_REGIONS_EXPORT void AssembleBnd(const NekVector<NekDouble> &loc,
                                          NekVector<NekDouble> &global) const;
 
    MULTI_REGIONS_EXPORT void AssembleBnd(
        const Array<OneD, const NekDouble> &loc, Array<OneD, NekDouble> &global,
        int offset) const;
 
    MULTI_REGIONS_EXPORT void AssembleBnd(
        const Array<OneD, const NekDouble> &loc,
        Array<OneD, NekDouble> &global) const;
 
    MULTI_REGIONS_EXPORT void UniversalAssembleBnd(
        Array<OneD, NekDouble> &pGlobal) const;
 
    MULTI_REGIONS_EXPORT void UniversalAssembleBnd(
        NekVector<NekDouble> &pGlobal) const;
 
    MULTI_REGIONS_EXPORT void UniversalAssembleBnd(
        Array<OneD, NekDouble> &pGlobal, int offset) const;
 
    MULTI_REGIONS_EXPORT int GetFullSystemBandWidth() const;
 
    MULTI_REGIONS_EXPORT int GetNumNonDirVertexModes() const;
 
    MULTI_REGIONS_EXPORT int GetNumNonDirEdgeModes() const;
 
    MULTI_REGIONS_EXPORT int GetNumNonDirFaceModes() const;
 
    MULTI_REGIONS_EXPORT int GetNumDirEdges() const;
 
    MULTI_REGIONS_EXPORT int GetNumDirFaces() const;
 
    MULTI_REGIONS_EXPORT int GetNumNonDirEdges() const;
 
    MULTI_REGIONS_EXPORT int GetNumNonDirFaces() const;
 
    MULTI_REGIONS_EXPORT void PrintStats(std::ostream &out,
                                         std::string variable,
                                         bool printHeader = true) const;
 
    MULTI_REGIONS_EXPORT const Array<OneD, const int> &GetExtraDirEdges();
 
    MULTI_REGIONS_EXPORT std::shared_ptr<AssemblyMap> LinearSpaceMap(
        const ExpList &locexp, GlobalSysSolnType solnType);
 
    /// Returns the bandwidth of the boundary system.
    MULTI_REGIONS_EXPORT int GetBndSystemBandWidth() const;
    /// Returns the level of static condensation for this map.
    MULTI_REGIONS_EXPORT int GetStaticCondLevel() const;
    /// Returns the number of patches in this static condensation level.
    MULTI_REGIONS_EXPORT int GetNumPatches() const;
    /// Returns the number of local boundary coefficients in each patch.
    MULTI_REGIONS_EXPORT const Array<OneD, const unsigned int>
        &GetNumLocalBndCoeffsPerPatch();
    /// Returns the number of local interior coefficients in each patch.
    MULTI_REGIONS_EXPORT const Array<OneD, const unsigned int>
        &GetNumLocalIntCoeffsPerPatch();
    /// Returns the local to global mapping for the next level in the
    /// multi-level static condensation.
    MULTI_REGIONS_EXPORT const AssemblyMapSharedPtr
    GetNextLevelLocalToGlobalMap() const;
 
    MULTI_REGIONS_EXPORT void SetNextLevelLocalToGlobalMap(
        AssemblyMapSharedPtr pNextLevelLocalToGlobalMap);
 
    /// Returns the patch map from the previous level
    /// of the multi-level static condensation.
    MULTI_REGIONS_EXPORT const PatchMapSharedPtr &GetPatchMapFromPrevLevel(
        void) const;
 
    /// Returns true if this is the last level in the multi-level
    /// static condensation.
    MULTI_REGIONS_EXPORT bool AtLastLevel() const;
    /// Returns the method of solving global systems.
    MULTI_REGIONS_EXPORT GlobalSysSolnType GetGlobalSysSolnType() const;
    MULTI_REGIONS_EXPORT std::string GetPreconType() const;
    MULTI_REGIONS_EXPORT NekDouble GetIterativeTolerance() const;
    MULTI_REGIONS_EXPORT bool IsAbsoluteTolerance() const;
    MULTI_REGIONS_EXPORT int GetMaxIterations() const;
    MULTI_REGIONS_EXPORT int GetSuccessiveRHS() const;
    MULTI_REGIONS_EXPORT std::string GetLinSysIterSolver() const;
 
    MULTI_REGIONS_EXPORT int GetLowestStaticCondLevel() const
    {
        return m_lowestStaticCondLevel;
    }
 
    MULTI_REGIONS_EXPORT void PatchLocalToGlobal(
        const Array<OneD, const NekDouble> &loc,
        Array<OneD, NekDouble> &global) const;
 
    MULTI_REGIONS_EXPORT void PatchGlobalToLocal(
        const Array<OneD, const NekDouble> &global,
        Array<OneD, NekDouble> &loc) const;
 
    MULTI_REGIONS_EXPORT void PatchAssemble(
        const Array<OneD, const NekDouble> &loc,
        Array<OneD, NekDouble> &global) const;
 
protected:
    /// Session object
    LibUtilities::SessionReaderSharedPtr m_session;
 
    /// Communicator
    LibUtilities::CommSharedPtr m_comm;
 
    /// Variable string identifier
    std::string m_variable;
 
    /// Hash for map
    size_t m_hash;
 
    /// Number of local boundary coefficients
    int m_numLocalBndCoeffs;
    /// Total number of global boundary coefficients
    int m_numGlobalBndCoeffs;
    /// Number of Local Dirichlet Boundary Coefficients
    int m_numLocalDirBndCoeffs;
    /// Number of Global Dirichlet Boundary Coefficients
    int m_numGlobalDirBndCoeffs;
    /// Flag indicating if the system is singular or not
    bool m_systemSingular;
 
    /// Total number of local coefficients
    /** This corresponds to the number of total number of coefficients
     *  - For CG this corresponds to the total of bnd + int DOFs
     *  - For DG this corresponds to the number of bnd DOFs.
     *    This means that #m_numLocalCoeffs = #m_numLocalBndCoeffs
     *    This way, we can consider the trace-system solve as a
     *    statically condensed solve without interior DOFs. This allows
     *    us to use the same global system solver for both cases.
     */
    int m_numLocalCoeffs;
 
    /// Total number of global coefficients
    /** This corresponds to the number of total number of coefficients
     *  - For CG this corresponds to the total of bnd + int DOFs.
     *  - For DG this corresponds to the number of bnd DOFs.
     *    This means that #m_numGlobalCoeffs = #m_numGlobalBndCoeffs
     *    This way, we can consider the trace-system solve as a
     *    statically condensed solve without interior DOFs. This allows
     *    us to use the same global system solver for both cases.
     */
    int m_numGlobalCoeffs;
 
    /// Flag indicating if modes require sign reversal.
    bool m_signChange;
 
    /// Integer map of local coeffs to global Boundary Dofs
    Array<OneD, int> m_localToGlobalBndMap;
    /// Integer sign of local boundary coeffs to global space
    Array<OneD, NekDouble> m_localToGlobalBndSign;
    /// Integer map of local boundary coeffs to local boundary system numbering
    Array<OneD, int> m_localToLocalBndMap;
    /// Integer map of local boundary coeffs to local interior system numbering
    Array<OneD, int> m_localToLocalIntMap;
    /// Integer map of bnd cond coeffs to local coefficients
    Array<OneD, int> m_bndCondCoeffsToLocalCoeffsMap;
    /// Integer map of sign of bnd cond coeffs to local coefficients
    Array<OneD, NekDouble> m_bndCondCoeffsToLocalCoeffsSign;
    /// Integer map of bnd cond coeff to local trace coeff
    Array<OneD, int> m_bndCondCoeffsToLocalTraceMap;
    /// Integer map of bnd cond trace number to global trace number
    Array<OneD, int> m_bndCondIDToGlobalTraceID;
    /// Integer map of process coeffs to universal space
    Array<OneD, int> m_globalToUniversalBndMap;
    /// Integer map of unique process coeffs to universal space (signed)
    Array<OneD, int> m_globalToUniversalBndMapUnique;
 
    /// The solution type of the global system
    GlobalSysSolnType m_solnType;
    /// The bandwith of the global bnd system
    int m_bndSystemBandWidth;
 
    /// Type type of preconditioner to use in iterative solver.
    std::string m_preconType;
 
    /// Maximum iterations for iterative solver
    int m_maxIterations;
 
    /// Tolerance for iterative solver
    NekDouble m_iterativeTolerance;
    bool m_isAbsoluteTolerance;
 
    /// sucessive RHS  for iterative solver
    int m_successiveRHS;
 
    /// Iterative solver: Conjugate Gradient, GMRES
    std::string m_linSysIterSolver;
 
    Gs::gs_data *m_gsh;
    Gs::gs_data *m_bndGsh;
    /// gs gather communication to impose Dirhichlet BCs.
    Gs::gs_data *m_dirBndGsh;
 
    /// The level of recursion in the case of multi-level static
    /// condensation.
    int m_staticCondLevel;
    /// The number of patches (~elements) in the current level
    int m_numPatches;
    /// The number of bnd dofs per patch
    Array<OneD, unsigned int> m_numLocalBndCoeffsPerPatch;
    /// The number of int dofs per patch
    Array<OneD, unsigned int> m_numLocalIntCoeffsPerPatch;
    /// Map from the patches of the previous level to the patches of
    /// the current level
 
    /// The local to global mapping of the next level of recursion
    AssemblyMapSharedPtr m_nextLevelLocalToGlobalMap;
    /// Lowest static condensation level.
    int m_lowestStaticCondLevel;
 
    /// Calculates the bandwidth of the boundary system.
    void CalculateBndSystemBandWidth();
 
    void GlobalToLocalBndWithoutSign(const Array<OneD, const NekDouble> &global,
                                     Array<OneD, NekDouble> &loc);
 
    virtual int v_GetLocalToGlobalMap(const int i) const;
 
    virtual int v_GetGlobalToUniversalMap(const int i) const;
 
    virtual int v_GetGlobalToUniversalMapUnique(const int i) const;
 
    virtual const Array<OneD, const int> &v_GetLocalToGlobalMap();
 
    virtual const Array<OneD, const int> &v_GetGlobalToUniversalMap();
 
    virtual const Array<OneD, const int> &v_GetGlobalToUniversalMapUnique();
 
    virtual NekDouble v_GetLocalToGlobalSign(const int i) const;
 
    virtual const Array<OneD, NekDouble> &v_GetLocalToGlobalSign() const;
 
    virtual void v_LocalToGlobal(const Array<OneD, const NekDouble> &loc,
                                 Array<OneD, NekDouble> &global,
                                 bool useComm) const;
 
    virtual void v_LocalToGlobal(const NekVector<NekDouble> &loc,
                                 NekVector<NekDouble> &global,
                                 bool useComm) const;
 
    virtual void v_GlobalToLocal(const Array<OneD, const NekDouble> &global,
                                 Array<OneD, NekDouble> &loc) const;
 
    virtual void v_GlobalToLocal(const NekVector<NekDouble> &global,
                                 NekVector<NekDouble> &loc) const;
 
    virtual void v_Assemble(const Array<OneD, const NekDouble> &loc,
                            Array<OneD, NekDouble> &global) const;
 
    virtual void v_Assemble(const NekVector<NekDouble> &loc,
                            NekVector<NekDouble> &global) const;
 
    virtual void v_UniversalAssemble(Array<OneD, NekDouble> &pGlobal) const;
 
    virtual void v_UniversalAssemble(NekVector<NekDouble> &pGlobal) const;
 
    virtual void v_UniversalAssemble(Array<OneD, NekDouble> &pGlobal,
                                     int offset) const;
 
    virtual int v_GetFullSystemBandWidth() const;
 
    virtual int v_GetNumNonDirVertexModes() const;
 
    virtual int v_GetNumNonDirEdgeModes() const;
 
    virtual int v_GetNumNonDirFaceModes() const;
 
    virtual int v_GetNumDirEdges() const;
 
    virtual int v_GetNumDirFaces() const;
 
    virtual int v_GetNumNonDirEdges() const;
 
    virtual int v_GetNumNonDirFaces() const;
 
    virtual const Array<OneD, const int> &v_GetExtraDirEdges();
 
    /// Generate a linear space mapping from existing mapping
    virtual std::shared_ptr<AssemblyMap> v_LinearSpaceMap(
        const ExpList &locexp, GlobalSysSolnType solnType);
 
private:
    /// Mapping information for previous level in MultiLevel Solver
    PatchMapSharedPtr m_patchMapFromPrevLevel;
};
 
} // namespace MultiRegions
} // namespace Nektar
 
#endif // MULTIREGIONS_ASSEMBLY_MAP_H