ppexsi.hpp

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/*
   Copyright (c) 2012 The Regents of the University of California,
   through Lawrence Berkeley National Laboratory.  

   Author: Lin Lin

   This file is part of PEXSI. All rights reserved.

   Redistribution and use in source and binary forms, with or without
   modification, are permitted provided that the following conditions are met:

   (1) Redistributions of source code must retain the above copyright notice, this
   list of conditions and the following disclaimer.
   (2) Redistributions in binary form must reproduce the above copyright notice,
   this list of conditions and the following disclaimer in the documentation
   and/or other materials provided with the distribution.
   (3) Neither the name of the University of California, Lawrence Berkeley
   National Laboratory, U.S. Dept. of Energy nor the names of its contributors may
   be used to endorse or promote products derived from this software without
   specific prior written permission.

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*/
#ifndef _PPEXSI_HPP_
#define _PPEXSI_HPP_
#include  "environment.hpp"
#include  "sparse_matrix.hpp"
#include  "NumVec.hpp"
#include  "utility.hpp"
#include  "pole.hpp"
#include        "mpi_interf.hpp"
#include  "SuperLUGrid.hpp"
#include  "superlu_dist_interf.hpp"
#include        "pselinv.hpp"
//#include  "c_pexsi_interface.h"

namespace PEXSI{

        class PPEXSIData{
        private:
                // *********************************************************************
                // Computational variables
                // *********************************************************************

                std::vector<Complex>  zshift_;      // Complex shift for the pole expansion
                std::vector<Complex>  zweightRho_;  // Complex weight for the pole expansion for density
                std::vector<Complex>  zweightRhoDrvMu_;  // Complex weight for the pole expansion for derivative of the Fermi-Dirac with respect to the chemical potential
                std::vector<Complex>  zweightRhoDrvT_;   // Complex weight for the pole expansion for derivative of the Fermi-Dirac with respect to the temperature T (1/beta, in au)
                std::vector<Complex>  zweightHelmholtz_;  // Complex shift for the pole expansion for Helmholtz free energy
                std::vector<Complex>  zweightForce_;  // Complex weight for the pole expansion for force

    // Outer layer communicator. Also used for distributing the
    // DistSparseMatrix.  Each DistSparseMatrix is replicated in the row
    // (numPoleGroup) direction of gridPole.
                const GridType*           gridPole_;          
                const GridType*           gridSelInv_;        // Inner layer communicator for SelInv
        
    // Inner layer communicator for SuperLU factorization
        const SuperLUGrid<Real>*       gridSuperLUReal_;           
        const SuperLUGrid<Complex>*    gridSuperLUComplex_;           


    DistSparseMatrix<Real>     HRealMat_;
    DistSparseMatrix<Real>     SRealMat_;

    DistSparseMatrix<Real>     shiftRealMat_;
    DistSparseMatrix<Complex>  shiftComplexMat_;

    DistSparseMatrix<Real>     shiftInvRealMat_;
    DistSparseMatrix<Complex>  shiftInvComplexMat_;

                DistSparseMatrix<Real>     rhoRealMat_;                   // Density matrix 
          DistSparseMatrix<Real>     rhoDrvMuRealMat_;              // Derivative of the Fermi-Dirac with respect to mu
                DistSparseMatrix<Real>     rhoDrvTRealMat_;               // Derivative of the Fermi-Dirac with respect to T
                DistSparseMatrix<Real>     freeEnergyDensityRealMat_;     // Helmholtz free energy density matrix
                DistSparseMatrix<Real>     energyDensityRealMat_;         // Energy density matrix for computing the Pulay force

    // SuperLUMatrix and PMatrix structures These structures are saved
    // to avoid repetitive symbolic factorization process, and saved in
    // pointer form because of the constructors.
    SuperLUMatrix<Real>*       luRealMat_;
    SuperLUMatrix<Complex>*    luComplexMat_;

    PMatrix<Real>*             PMRealMat_;
    PMatrix<Complex>*          PMComplexMat_;

    // Whether the matrices have been loaded into HRealMat_ and
    // SRealMat_
    bool                       isMatrixLoaded_;
    // Whether the matrices (luMat and PMat) have obtained symbolic
    // information
    bool                       isRealSymmetricSymbolicFactorized_;
    bool                       isComplexSymmetricSymbolicFactorized_;
    // Supernode partition for the real matrix
    SuperNodeType              superReal_;             
    // Supernode partition for the complex matrix
    SuperNodeType              superComplex_;             

                // Saves all the indices of diagonal elements in H, so that
                // H.nzvalLocal(diagIdxLocal_[j]) are diagonal elements for all j.
                // This is manly used when S is implicitly given as an identity matrix.
                std::vector<Int>           diagIdxLocal_;    

    // Energy computed from Tr[H*DM]
    Real                       totalEnergyH_;
    // Energy computed from Tr[S*EDM]
    Real                       totalEnergyS_;
    // Free energy 
    Real                       totalFreeEnergy_;


                // *********************************************************************
                // Saved variables for nonlinear iterations
                // *********************************************************************
    Real                       muPEXSISave_;

        public:
    PPEXSIData(
        MPI_Comm   comm,
        Int        numProcRow, 
        Int        numProcCol, 
        Int        outputFileIndex );

                ~PPEXSIData();

    void LoadRealSymmetricMatrix(
        Int           nrows,                        
        Int           nnz,                          
        Int           nnzLocal,                     
        Int           numColLocal,                  
        Int*          colptrLocal,                  
        Int*          rowindLocal,                  
        Real*         HnzvalLocal,                  
        Int           isSIdentity,                  
        Real*         SnzvalLocal,
        Int           verbosity );

    
    void SymbolicFactorizeRealSymmetricMatrix(
                                std::string                    ColPerm,
                                Int                            numProcSymbFact,
        Int                            verbosity );
    
    void SymbolicFactorizeComplexSymmetricMatrix(
                                std::string                    ColPerm,
                                Int                            numProcSymbFact,
        Int                            verbosity );


    void SelInvRealSymmetricMatrix(
          double*           AnzvalLocal,                  
          Int               verbosity,
          double*           AinvnzvalLocal );

    void SelInvComplexSymmetricMatrix(
          double*           AnzvalLocal,                  
          Int               verbosity,
          double*           AinvnzvalLocal );


                void CalculateNegativeInertiaReal(
                                const std::vector<Real>&       shiftVec, 
                                std::vector<Real>&             inertiaVec,
        Int                            verbosity );


                void CalculateFermiOperatorReal(
                                Int   numPole, 
                                Real  temperature,
                                Real  gap,
                                Real  deltaE,
                                Real  mu,
        Real  numElectronExact, 
        Real  numElectronTolerance,
        Int   verbosity,
        Real& numElectron,
        Real& numElectronDrvMu );


    void DFTDriver(
        Real       numElectronExact,
        Real       temperature,
        Real       gap,
        Real       deltaE,
        Int        numPole, 
        Int        isInertiaCount,
        Int        maxPEXSIIter,
        Real       muMin0,
        Real       muMax0,
        Real       muInertiaTolerance,
        Real       muInertiaExpansion,
        Real       muPEXSISafeGuard,
        Real       numElectronPEXSITolerance,
        Int        matrixType,
        Int        isSymbolicFactorize,
        Int        ordering,
        Int        numProcSymbFact,
        Int        verbosity,
        Real&      muPEXSI,                   
        Real&      numElectronPEXSI,         
        Real&      muMinInertia,              
        Real&      muMaxInertia,             
        Int&       numTotalInertiaIter,   
        Int&       numTotalPEXSIIter );


    // *********************************************************************
    // Access data
    // *********************************************************************

    const GridType*  GridPole() const {return gridPole_;}

    const DistSparseMatrix<Real>&   RhoRealMat() const {return rhoRealMat_;}

    const DistSparseMatrix<Real>&   EnergyDensityRealMat() const {return energyDensityRealMat_;}

    const DistSparseMatrix<Real>&   FreeEnergyDensityRealMat() const {return freeEnergyDensityRealMat_;}

    Real   TotalEnergyH() const {return totalEnergyH_;}
    
    Real   TotalEnergyS() const {return totalEnergyS_;}

    Real   TotalFreeEnergy() const {return totalFreeEnergy_;}


        }; // PPEXSIData


} // namespace PEXSI
#endif // _PPEXSI_HPP_