superlu.cpp

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// Copyright (c) 2010-2022, Lawrence Livermore National Security, LLC. Produced
// at the Lawrence Livermore National Laboratory. All Rights reserved. See files
// LICENSE and NOTICE for details. LLNL-CODE-806117.
//
// This file is part of the MFEM library. For more information and source code
// availability visit https://mfem.org.
//
// MFEM is free software; you can redistribute it and/or modify it under the
// terms of the BSD-3 license. We welcome feedback and contributions, see file
// CONTRIBUTING.md for details.

#include "../config/config.hpp"

#ifdef MFEM_USE_SUPERLU
#ifdef MFEM_USE_MPI

#include "superlu.hpp"

// SuperLU headers
#include "superlu_defs.h"
#include "superlu_ddefs.h"

#if XSDK_INDEX_SIZE == 64
#error "SuperLUDist has been built with 64bit integers. This is not supported"
#endif

// For now, it is assumed that HYPRE_BigInt is int.
#if defined(HYPRE_BIGINT) || defined(HYPRE_MIXEDINT)
#error "SuperLUDist support requires HYPRE_BigInt == int, for now."
#endif

#if SUPERLU_DIST_MAJOR_VERSION > 6 ||                                   \
  (SUPERLU_DIST_MAJOR_VERSION == 6 && SUPERLU_DIST_MINOR_VERSION > 2)
#define ScalePermstruct_t dScalePermstruct_t
#define LUstruct_t dLUstruct_t
#define SOLVEstruct_t dSOLVEstruct_t
#define ScalePermstructFree dScalePermstructFree
#define Destroy_LU dDestroy_LU
#define LUstructFree dLUstructFree
#define LUstructInit dLUstructInit
#endif


using namespace std;

namespace mfem
{
unsigned int superlu_internal::sqrti( const unsigned int & a )
{
   unsigned int a_ = a;
   unsigned int rem = 0;
   unsigned int root = 0;
   unsigned short len   = sizeof(int); len <<= 2;
   unsigned short shift = (unsigned short)((len<<1) - 2);

   for (int i=0; i<len; i++)
   {
      root <<= 1;
      rem = ((rem << 2) + (a_ >> shift));
      a_ <<= 2;
      root ++;
      if (root <= rem)
      {
         rem -= root;
         root++;
      }
      else
      {
         root--;
      }
   }
   return (root >> 1);
}

SuperLURowLocMatrix::SuperLURowLocMatrix(MPI_Comm comm,
                                         int num_loc_rows, int first_loc_row,
                                         int glob_nrows, int glob_ncols,
                                         int *I, int *J, double *data)
   : comm_(comm),
     rowLocPtr_(NULL)
{
   // Set mfem::Operator member data
   height = num_loc_rows;
   width  = num_loc_rows;

   // Allocate SuperLU's SuperMatrix struct
   rowLocPtr_      = new SuperMatrix;
   SuperMatrix * A = (SuperMatrix*)rowLocPtr_;

   A->Store = NULL;

   int m       = glob_nrows;
   int n       = glob_ncols;
   int nnz_loc = I[num_loc_rows];
   int m_loc   = num_loc_rows;
   int fst_row = first_loc_row;

   double * nzval  = NULL;
   int    * colind = NULL;
   int    * rowptr = NULL;

   if ( !(nzval  = doubleMalloc_dist(nnz_loc)) )
   {
      ABORT("Malloc fails for nzval[].");
   }
   for (int i=0; i<nnz_loc; i++)
   {
      nzval[i] = data[i];
   }

   if ( !(colind = intMalloc_dist(nnz_loc)) )
   {
      ABORT("Malloc fails for colind[].");
   }
   for (int i=0; i<nnz_loc; i++)
   {
      colind[i] = J[i];
   }

   if ( !(rowptr = intMalloc_dist(m_loc+1)) )
   {
      ABORT("Malloc fails for rowptr[].");
   }
   for (int i=0; i<=m_loc; i++)
   {
      rowptr[i] = I[i];
   }

   // Assign he matrix data to SuperLU's SuperMatrix structure
   dCreate_CompRowLoc_Matrix_dist(A, m, n, nnz_loc, m_loc, fst_row,
                                  nzval, colind, rowptr,
                                  SLU_NR_loc, SLU_D, SLU_GE);
}

SuperLURowLocMatrix::SuperLURowLocMatrix( const HypreParMatrix & hypParMat )
   : comm_(hypParMat.GetComm()),
     rowLocPtr_(NULL)
{
   rowLocPtr_      = new SuperMatrix;
   SuperMatrix * A = (SuperMatrix*)rowLocPtr_;

   A->Store = NULL;

   // First cast the parameter to a hypre_ParCSRMatrix
   hypre_ParCSRMatrix * parcsr_op =
      (hypre_ParCSRMatrix *)const_cast<HypreParMatrix&>(hypParMat);

   MFEM_ASSERT(parcsr_op != NULL,"SuperLU: const_cast failed in SetOperator");

   // Create the SuperMatrix A by borrowing the internal data from a
   // hypre_CSRMatrix.
   hypParMat.HostRead();
   hypre_CSRMatrix * csr_op = hypre_MergeDiagAndOffd(parcsr_op);
   hypParMat.HypreRead();
   hypre_CSRMatrixSetDataOwner(csr_op,0);
#if MFEM_HYPRE_VERSION >= 21600
   // For now, this method assumes that HYPRE_BigInt is int. Also, csr_op->num_cols
   // is of type HYPRE_Int, so if we want to check for big indices in
   // csr_op->big_j, we'll have to check all entries and that check will only be
   // necessary in HYPRE_MIXEDINT mode which is not supported at the moment.
   hypre_CSRMatrixBigJtoJ(csr_op);
#endif

   int m         = parcsr_op->global_num_rows;
   int n         = parcsr_op->global_num_cols;
   int fst_row   = parcsr_op->first_row_index;
   int nnz_loc   = csr_op->num_nonzeros;
   int m_loc     = csr_op->num_rows;

   height = m_loc;
   width  = m_loc;

   double * nzval  = csr_op->data;
   int    * colind = csr_op->j;
   int    * rowptr = NULL;

   // The "i" array cannot be stolen from the hypre_CSRMatrix so we'll copy it
   if ( !(rowptr = intMalloc_dist(m_loc+1)) )
   {
      ABORT("Malloc fails for rowptr[].");
   }
   for (int i=0; i<=m_loc; i++)
   {
      rowptr[i] = (csr_op->i)[i];
   }

   // Everything has been copied or abducted so delete the structure
   hypre_CSRMatrixDestroy(csr_op);

   // Assign he matrix data to SuperLU's SuperMatrix structure
   dCreate_CompRowLoc_Matrix_dist(A, m, n, nnz_loc, m_loc, fst_row,
                                  nzval, colind, rowptr,
                                  SLU_NR_loc, SLU_D, SLU_GE);

   // Save global number of columns (width) of the matrix
   num_global_cols = n;
}

SuperLURowLocMatrix::~SuperLURowLocMatrix()
{
   SuperMatrix * A = (SuperMatrix*)rowLocPtr_;

   // Delete the internal data
   Destroy_CompRowLoc_Matrix_dist(A);

   // Delete the struct
   if ( A != NULL ) { delete A; }
}

SuperLUSolver::SuperLUSolver( MPI_Comm comm )
   : comm_(comm),
     APtr_(NULL),
     optionsPtr_(NULL),
     statPtr_(NULL),
     ScalePermstructPtr_(NULL),
     LUstructPtr_(NULL),
     SOLVEstructPtr_(NULL),
     gridPtr_(NULL),
     berr_(NULL),
     perm_r_(NULL),
     nrhs_(1),
     nprow_(0),
     npcol_(0),
     firstSolveWithThisA_(false),
     gridInitialized_(false),
     LUStructInitialized_(false)
{
   this->Init();
}

SuperLUSolver::SuperLUSolver( SuperLURowLocMatrix & A )
   : comm_(A.GetComm()),
     APtr_(&A),
     optionsPtr_(NULL),
     statPtr_(NULL),
     ScalePermstructPtr_(NULL),
     LUstructPtr_(NULL),
     SOLVEstructPtr_(NULL),
     gridPtr_(NULL),
     berr_(NULL),
     perm_r_(NULL),
     nrhs_(1),
     nprow_(0),
     npcol_(0),
     firstSolveWithThisA_(true),
     gridInitialized_(false),
     LUStructInitialized_(false)
{
   height = A.Height();
   width  = A.Width();

   this->Init();
}

SuperLUSolver::~SuperLUSolver()
{
   superlu_dist_options_t * options = (superlu_dist_options_t*)optionsPtr_;
   SuperLUStat_t     * stat         = (SuperLUStat_t*)statPtr_;
   ScalePermstruct_t * SPstruct     = (ScalePermstruct_t*)ScalePermstructPtr_;
   LUstruct_t        * LUstruct     = (LUstruct_t*)LUstructPtr_;
   SOLVEstruct_t     * SOLVEstruct  = (SOLVEstruct_t*)SOLVEstructPtr_;
   gridinfo_t        * grid         = (gridinfo_t*)gridPtr_;

   SUPERLU_FREE(berr_);
   PStatFree(stat);

   if ( LUStructInitialized_ )
   {
      ScalePermstructFree(SPstruct);
      Destroy_LU(APtr_->GetGlobalNumColumns(), grid, LUstruct);
      LUstructFree(LUstruct);
   }

   if ( options->SolveInitialized )
   {
      dSolveFinalize(options, SOLVEstruct);
   }

   if (     options != NULL ) { delete options; }
   if (        stat != NULL ) { delete stat; }
   if (    SPstruct != NULL ) { delete SPstruct; }
   if (    LUstruct != NULL ) { delete LUstruct; }
   if ( SOLVEstruct != NULL ) { delete SOLVEstruct; }
   if (        grid != NULL ) { delete grid; }
   if (     perm_r_ != NULL ) { SUPERLU_FREE(perm_r_); }
}

void SuperLUSolver::Init()
{
   MPI_Comm_size(comm_, &numProcs_);
   MPI_Comm_rank(comm_, &myid_);

   optionsPtr_         = new superlu_dist_options_t;
   statPtr_            = new SuperLUStat_t;
   ScalePermstructPtr_ = new ScalePermstruct_t;
   LUstructPtr_        = new LUstruct_t;
   SOLVEstructPtr_     = new SOLVEstruct_t;
   gridPtr_            = new gridinfo_t;

   superlu_dist_options_t * options = (superlu_dist_options_t*)optionsPtr_;
   SuperLUStat_t          *    stat = (SuperLUStat_t*)statPtr_;

   if ( !(berr_ = doubleMalloc_dist(nrhs_)) )
   {
      ABORT("Malloc fails for berr[].");
   }

   // Set default options
   set_default_options_dist(options);

   // Choose nprow and npcol so that the process grid is as square as possible.
   // If the processes cannot be divided evenly, keep the row dimension smaller
   // than the column dimension.

   nprow_ = (int)superlu_internal::sqrti((unsigned int)numProcs_);
   while (numProcs_ % nprow_ != 0 && nprow_ > 0)
   {
      nprow_--;
   }

   npcol_ = (int)(numProcs_ / nprow_);
   MFEM_ASSERT(nprow_ * npcol_ == numProcs_, "");

   PStatInit(stat); // Initialize the statistics variables.
}

void SuperLUSolver::SetPrintStatistics( bool print_stat )
{
   superlu_dist_options_t * options = (superlu_dist_options_t*)optionsPtr_;

   yes_no_t opt = print_stat?YES:NO;

   options->PrintStat = opt;
}

void SuperLUSolver::SetEquilibriate( bool equil )
{
   superlu_dist_options_t * options = (superlu_dist_options_t*)optionsPtr_;

   yes_no_t opt = equil?YES:NO;

   options->Equil = opt;
}

void SuperLUSolver::SetColumnPermutation( superlu::ColPerm col_perm )
{
   superlu_dist_options_t * options = (superlu_dist_options_t*)optionsPtr_;

   colperm_t opt = (colperm_t)col_perm;

   options->ColPerm = opt;
}

void SuperLUSolver::SetRowPermutation( superlu::RowPerm row_perm,
                                       Array<int> * perm )
{
   superlu_dist_options_t * options = (superlu_dist_options_t*)optionsPtr_;

   rowperm_t opt = (rowperm_t)row_perm;

   options->RowPerm = opt;

   if ( opt == MY_PERMR )
   {
      if ( perm == NULL )
      {
         mfem_error("SuperLUSolver::SetRowPermutation :"
                    " permutation vector not set!");
      }

      if ( !(perm_r_ = intMalloc_dist(perm->Size())) )
      {
         ABORT("Malloc fails for perm_r[].");
      }
      for (int i=0; i<perm->Size(); i++)
      {
         perm_r_[i] = (*perm)[i];
      }
   }
}

void SuperLUSolver::SetTranspose( superlu::Trans trans )
{
   superlu_dist_options_t * options = (superlu_dist_options_t*)optionsPtr_;

   trans_t opt = (trans_t)trans;

   options->Trans = opt;
}

void SuperLUSolver::SetIterativeRefine( superlu::IterRefine iter_ref )
{
   superlu_dist_options_t * options = (superlu_dist_options_t*)optionsPtr_;

   IterRefine_t opt = (IterRefine_t)iter_ref;

   options->IterRefine = opt;
}

void SuperLUSolver::SetReplaceTinyPivot( bool rtp )
{
   superlu_dist_options_t * options = (superlu_dist_options_t*)optionsPtr_;

   yes_no_t opt = rtp?YES:NO;

   options->ReplaceTinyPivot = opt;
}

void SuperLUSolver::SetNumLookAheads( int num_lookaheads )
{
   superlu_dist_options_t * options = (superlu_dist_options_t*)optionsPtr_;

   options->num_lookaheads = num_lookaheads;
}

void SuperLUSolver::SetLookAheadElimTree( bool etree )
{
   superlu_dist_options_t * options = (superlu_dist_options_t*)optionsPtr_;

   yes_no_t opt = etree?YES:NO;

   options->lookahead_etree = opt;
}

void SuperLUSolver::SetSymmetricPattern( bool sym )
{
   superlu_dist_options_t * options = (superlu_dist_options_t*)optionsPtr_;

   yes_no_t opt = sym?YES:NO;

   options->SymPattern = opt;
}

void SuperLUSolver::SetParSymbFact( bool par )
{
   superlu_dist_options_t * options = (superlu_dist_options_t*)optionsPtr_;

   yes_no_t opt = par?YES:NO;

   options->ParSymbFact = opt;
}

void SuperLUSolver::SetupGrid()
{
   gridinfo_t * grid = (gridinfo_t*)gridPtr_;

   // Make sure the values of nprow and npcol are reasonable
   if ( ((nprow_ * npcol_) > numProcs_) || ((nprow_ * npcol_) < 1) )
   {
      if ( myid_ == 0 )
      {
         mfem::err << "Warning: User specified nprow and npcol are such that "
                   << "(nprow * npcol) > numProcs or (nprow * npcol) < 1.  "
                   << "Using default values for nprow and npcol instead."
                   << endl;
      }

      nprow_ = (int)superlu_internal::sqrti((unsigned int)numProcs_);
      while (numProcs_ % nprow_ != 0 && nprow_ > 0)
      {
         nprow_--;
      }

      npcol_ = (int)(numProcs_ / nprow_);
      MFEM_ASSERT(nprow_ * npcol_ == numProcs_, "");
   }

   superlu_gridinit(comm_, nprow_, npcol_, grid);

   gridInitialized_ = true;
}

void SuperLUSolver::DismantleGrid()
{
   if ( gridInitialized_ )
   {
      gridinfo_t * grid = (gridinfo_t*)gridPtr_;

      superlu_gridexit(grid);
   }

   gridInitialized_ = false;
}

void SuperLUSolver::Mult( const Vector & x, Vector & y ) const
{
   MFEM_ASSERT(APtr_ != NULL,
               "SuperLU Error: The operator must be set before"
               " the system can be solved.");

   superlu_dist_options_t * options = (superlu_dist_options_t*)optionsPtr_;
   SuperLUStat_t     * stat         = (SuperLUStat_t*)statPtr_;
   SuperMatrix       * A            = (SuperMatrix*)APtr_->InternalData();

   ScalePermstruct_t * SPstruct     = (ScalePermstruct_t*)ScalePermstructPtr_;
   LUstruct_t        * LUstruct     = (LUstruct_t*)LUstructPtr_;
   SOLVEstruct_t     * SOLVEstruct  = (SOLVEstruct_t*)SOLVEstructPtr_;
   gridinfo_t        * grid         = (gridinfo_t*)gridPtr_;

   if (!firstSolveWithThisA_)
   {
      options->Fact = FACTORED; // Indicate the factored form of A is supplied.
   }
   else // This is the first solve with this A
   {
      firstSolveWithThisA_ = false;

      // Make sure that the parameters have been initialized The only parameter
      // we might have to worry about is ScalePermstruct, if the user is
      // supplying a row or column permutation.

      // Initialize ScalePermstruct and LUstruct.
      SPstruct->DiagScale = NOEQUIL;

      // Transfer ownership of the row permutations if available
      if ( perm_r_ != NULL )
      {
         SPstruct->perm_r = perm_r_;
         perm_r_ = NULL;
      }
      else
      {
         if ( !(SPstruct->perm_r = intMalloc_dist(A->nrow)) )
         {
            ABORT("Malloc fails for perm_r[].");
         }
      }
      if ( !(SPstruct->perm_c = intMalloc_dist(A->ncol)) )
      {
         ABORT("Malloc fails for perm_c[].");
      }

      LUstructInit(A->ncol, LUstruct);
      LUStructInitialized_ = true;
   }

   // SuperLU overwrites x with y, so copy x to y and pass that to the solve
   // routine.

   const double *xPtr = x.HostRead();
   y = xPtr;
   double * yPtr = y.HostReadWrite();

   int      info = -1, locSize = y.Size();

   // Solve the system
   pdgssvx(options, A, SPstruct, yPtr, locSize, nrhs_, grid,
           LUstruct, SOLVEstruct, berr_, stat, &info);

   if ( info != 0 )
   {
      if ( info < 0 )
      {
         switch (-info)
         {
            case 1:
               MFEM_ABORT("SuperLU:  SuperLU options are invalid.");
               break;
            case 2:
               MFEM_ABORT("SuperLU:  Matrix A (in Ax=b) is invalid.");
               break;
            case 5:
               MFEM_ABORT("SuperLU:  Vector b dimension (in Ax=b) is invalid.");
               break;
            case 6:
               MFEM_ABORT("SuperLU:  Number of right-hand sides is invalid.");
               break;
            default:
               MFEM_ABORT("SuperLU:  Parameter with index "
                          << -info << "invalid. (1-indexed)");
               break;
         }
      }
      else if ( info <= A->ncol )
      {
         MFEM_ABORT("SuperLU:  Found a singular matrix, U("
                    << info << "," << info << ") is exactly zero.");
      }
      else if ( info > A->ncol )
      {
         MFEM_ABORT("SuperLU:  Memory allocation error with "
                    << info - A->ncol << " bytes already allocated,");
      }
      else
      {
         MFEM_ABORT("Unknown SuperLU Error");
      }
   }
}

void SuperLUSolver::SetOperator( const Operator & op )
{
   // Verify that we have a compatible operator
   APtr_ = dynamic_cast<const SuperLURowLocMatrix*>(&op);
   if ( APtr_ == NULL )
   {
      mfem_error("SuperLUSolver::SetOperator : not SuperLURowLocMatrix!");
   }

   // Everything is OK so finish setting the operator
   firstSolveWithThisA_ = true;

   // Set mfem::Operator member data
   height = op.Height();
   width  = op.Width();

   // Initialize the processor grid if necessary
   if (!gridInitialized_)
   {
      this->SetupGrid();
   }
}

} // mfem namespace

#endif // MFEM_USE_MPI
#endif // MFEM_USE_SUPERLU