petsc_precondition.cc

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// ---------------------------------------------------------------------
//
// Copyright (C) 2004 - 2020 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE.md at
// the top level directory of deal.II.
//
// ---------------------------------------------------------------------
 
#include <deal.II/lac/petsc_precondition.h>
 
#ifdef DEAL_II_WITH_PETSC
 
#  include <deal.II/base/utilities.h>
 
#  include <deal.II/lac/exceptions.h>
#  include <deal.II/lac/petsc_compatibility.h>
#  include <deal.II/lac/petsc_matrix_base.h>
#  include <deal.II/lac/petsc_solver.h>
#  include <deal.II/lac/petsc_vector_base.h>
 
#  include <petscconf.h>
 
#  include <cmath>
 
DEAL_II_NAMESPACE_OPEN
 
namespace PETScWrappers
{
  PreconditionerBase::PreconditionerBase()
    : pc(nullptr)
    , matrix(nullptr)
  {}
 
  PreconditionerBase::~PreconditionerBase()
  {
    try
      {
        clear();
      }
    catch (...)
      {}
  }
 
  void
  PreconditionerBase::clear()
  {
    matrix = nullptr;
 
    if (pc != nullptr)
      {
        PetscErrorCode ierr = PCDestroy(&pc);
        pc                  = nullptr;
        AssertThrow(ierr == 0, ExcPETScError(ierr));
      }
  }
 
 
  void
  PreconditionerBase::vmult(VectorBase &dst, const VectorBase &src) const
  {
    AssertThrow(pc != nullptr, StandardExceptions::ExcInvalidState());
 
    const PetscErrorCode ierr = PCApply(pc, src, dst);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
  }
 
 
  void
  PreconditionerBase::Tvmult(VectorBase &dst, const VectorBase &src) const
  {
    AssertThrow(pc != nullptr, StandardExceptions::ExcInvalidState());
 
    const PetscErrorCode ierr = PCApplyTranspose(pc, src, dst);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
  }
 
 
  void
  PreconditionerBase::create_pc()
  {
    // only allow the creation of the
    // preconditioner once
    AssertThrow(pc == nullptr, StandardExceptions::ExcInvalidState());
 
    MPI_Comm comm;
    // this ugly cast is necessary because the
    // type Mat and PETScObject are
    // unrelated.
    PetscErrorCode ierr =
      PetscObjectGetComm(reinterpret_cast<PetscObject>(matrix), &comm);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCCreate(comm, &pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
#  if DEAL_II_PETSC_VERSION_LT(3, 5, 0)
    ierr = PCSetOperators(pc, matrix, matrix, SAME_PRECONDITIONER);
#  else
    ierr = PCSetOperators(pc, matrix, matrix);
#  endif
    AssertThrow(ierr == 0, ExcPETScError(ierr));
  }
 
 
  const PC &
  PreconditionerBase::get_pc() const
  {
    return pc;
  }
 
 
  PreconditionerBase::operator Mat() const
  {
    return matrix;
  }
 
 
  /* ----------------- PreconditionJacobi -------------------- */
  PreconditionJacobi::PreconditionJacobi(const MPI_Comm        comm,
                                         const AdditionalData &additional_data_)
  {
    additional_data = additional_data_;
 
    PetscErrorCode ierr = PCCreate(comm, &pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    initialize();
  }
 
 
 
  PreconditionJacobi::PreconditionJacobi(const MatrixBase &    matrix,
                                         const AdditionalData &additional_data)
  {
    initialize(matrix, additional_data);
  }
 
  void
  PreconditionJacobi::initialize()
  {
    AssertThrow(pc != nullptr, StandardExceptions::ExcInvalidState());
 
    PetscErrorCode ierr = PCSetType(pc, const_cast<char *>(PCJACOBI));
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetFromOptions(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
  }
 
  void
  PreconditionJacobi::initialize(const MatrixBase &    matrix_,
                                 const AdditionalData &additional_data_)
  {
    clear();
 
    matrix          = static_cast<Mat>(matrix_);
    additional_data = additional_data_;
 
    create_pc();
    initialize();
 
    PetscErrorCode ierr = PCSetUp(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
  }
 
 
  /* ----------------- PreconditionBlockJacobi -------------------- */
  PreconditionBlockJacobi::PreconditionBlockJacobi(
    const MPI_Comm        comm,
    const AdditionalData &additional_data_)
  {
    additional_data = additional_data_;
 
    PetscErrorCode ierr = PCCreate(comm, &pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    initialize();
  }
 
 
 
  PreconditionBlockJacobi::PreconditionBlockJacobi(
    const MatrixBase &    matrix,
    const AdditionalData &additional_data)
  {
    initialize(matrix, additional_data);
  }
 
  void
  PreconditionBlockJacobi::initialize()
  {
    PetscErrorCode ierr = PCSetType(pc, const_cast<char *>(PCBJACOBI));
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetFromOptions(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
  }
 
 
  void
  PreconditionBlockJacobi::initialize(const MatrixBase &    matrix_,
                                      const AdditionalData &additional_data_)
  {
    clear();
 
    matrix          = static_cast<Mat>(matrix_);
    additional_data = additional_data_;
 
    create_pc();
    initialize();
 
    PetscErrorCode ierr = PCSetUp(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
  }
 
 
  /* ----------------- PreconditionSOR -------------------- */
 
  PreconditionSOR::AdditionalData::AdditionalData(const double omega)
    : omega(omega)
  {}
 
 
 
  PreconditionSOR::PreconditionSOR(const MatrixBase &    matrix,
                                   const AdditionalData &additional_data)
  {
    initialize(matrix, additional_data);
  }
 
 
  void
  PreconditionSOR::initialize(const MatrixBase &    matrix_,
                              const AdditionalData &additional_data_)
  {
    clear();
 
    matrix          = static_cast<Mat>(matrix_);
    additional_data = additional_data_;
 
    create_pc();
 
    PetscErrorCode ierr = PCSetType(pc, const_cast<char *>(PCSOR));
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    // then set flags as given
    ierr = PCSORSetOmega(pc, additional_data.omega);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetFromOptions(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetUp(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
  }
 
 
  /* ----------------- PreconditionSSOR -------------------- */
 
  PreconditionSSOR::AdditionalData::AdditionalData(const double omega)
    : omega(omega)
  {}
 
 
 
  PreconditionSSOR::PreconditionSSOR(const MatrixBase &    matrix,
                                     const AdditionalData &additional_data)
  {
    initialize(matrix, additional_data);
  }
 
 
  void
  PreconditionSSOR::initialize(const MatrixBase &    matrix_,
                               const AdditionalData &additional_data_)
  {
    clear();
 
    matrix          = static_cast<Mat>(matrix_);
    additional_data = additional_data_;
 
    create_pc();
 
    PetscErrorCode ierr = PCSetType(pc, const_cast<char *>(PCSOR));
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    // then set flags as given
    ierr = PCSORSetOmega(pc, additional_data.omega);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    // convert SOR to SSOR
    ierr = PCSORSetSymmetric(pc, SOR_SYMMETRIC_SWEEP);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetFromOptions(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetUp(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
  }
 
 
  /* ----------------- PreconditionEisenstat -------------------- */
 
  PreconditionEisenstat::AdditionalData::AdditionalData(const double omega)
    : omega(omega)
  {}
 
 
 
  PreconditionEisenstat::PreconditionEisenstat(
    const MatrixBase &    matrix,
    const AdditionalData &additional_data)
  {
    initialize(matrix, additional_data);
  }
 
 
  void
  PreconditionEisenstat::initialize(const MatrixBase &    matrix_,
                                    const AdditionalData &additional_data_)
  {
    clear();
 
    matrix          = static_cast<Mat>(matrix_);
    additional_data = additional_data_;
 
    create_pc();
 
    PetscErrorCode ierr = PCSetType(pc, const_cast<char *>(PCEISENSTAT));
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    // then set flags as given
    ierr = PCEisenstatSetOmega(pc, additional_data.omega);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetFromOptions(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetUp(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
  }
 
 
  /* ----------------- PreconditionICC -------------------- */
 
 
  PreconditionICC::AdditionalData::AdditionalData(const unsigned int levels)
    : levels(levels)
  {}
 
 
 
  PreconditionICC::PreconditionICC(const MatrixBase &    matrix,
                                   const AdditionalData &additional_data)
  {
    initialize(matrix, additional_data);
  }
 
 
  void
  PreconditionICC::initialize(const MatrixBase &    matrix_,
                              const AdditionalData &additional_data_)
  {
    clear();
 
    matrix          = static_cast<Mat>(matrix_);
    additional_data = additional_data_;
 
    create_pc();
 
    PetscErrorCode ierr = PCSetType(pc, const_cast<char *>(PCICC));
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    // then set flags
    ierr = PCFactorSetLevels(pc, additional_data.levels);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetFromOptions(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetUp(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
  }
 
 
  /* ----------------- PreconditionILU -------------------- */
 
  PreconditionILU::AdditionalData::AdditionalData(const unsigned int levels)
    : levels(levels)
  {}
 
 
 
  PreconditionILU::PreconditionILU(const MatrixBase &    matrix,
                                   const AdditionalData &additional_data)
  {
    initialize(matrix, additional_data);
  }
 
 
  void
  PreconditionILU::initialize(const MatrixBase &    matrix_,
                              const AdditionalData &additional_data_)
  {
    clear();
 
    matrix          = static_cast<Mat>(matrix_);
    additional_data = additional_data_;
 
    create_pc();
 
    PetscErrorCode ierr = PCSetType(pc, const_cast<char *>(PCILU));
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    // then set flags
    ierr = PCFactorSetLevels(pc, additional_data.levels);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetFromOptions(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetUp(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
  }
 
 
  /* ----------------- PreconditionBoomerAMG -------------------- */
 
  PreconditionBoomerAMG::AdditionalData::AdditionalData(
    const bool         symmetric_operator,
    const double       strong_threshold,
    const double       max_row_sum,
    const unsigned int aggressive_coarsening_num_levels,
    const bool         output_details)
    : symmetric_operator(symmetric_operator)
    , strong_threshold(strong_threshold)
    , max_row_sum(max_row_sum)
    , aggressive_coarsening_num_levels(aggressive_coarsening_num_levels)
    , output_details(output_details)
  {}
 
 
 
  PreconditionBoomerAMG::PreconditionBoomerAMG(
    const MPI_Comm        comm,
    const AdditionalData &additional_data_)
  {
    additional_data = additional_data_;
 
    PetscErrorCode ierr = PCCreate(comm, &pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
#  ifdef DEAL_II_PETSC_WITH_HYPRE
    initialize();
#  else // DEAL_II_PETSC_WITH_HYPRE
    (void)pc;
    Assert(false,
           ExcMessage("Your PETSc installation does not include a copy of "
                      "the hypre package necessary for this preconditioner."));
#  endif
  }
 
 
  PreconditionBoomerAMG::PreconditionBoomerAMG(
    const MatrixBase &    matrix,
    const AdditionalData &additional_data)
  {
    initialize(matrix, additional_data);
  }
 
  void
  PreconditionBoomerAMG::initialize()
  {
#  ifdef DEAL_II_PETSC_WITH_HYPRE
    PetscErrorCode ierr = PCSetType(pc, const_cast<char *>(PCHYPRE));
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCHYPRESetType(pc, "boomeramg");
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    if (additional_data.output_details)
      {
        set_option_value("-pc_hypre_boomeramg_print_statistics", "1");
      }
 
    set_option_value("-pc_hypre_boomeramg_agg_nl",
                     std::to_string(
                       additional_data.aggressive_coarsening_num_levels));
 
    std::stringstream ssStream;
    ssStream << additional_data.max_row_sum;
    set_option_value("-pc_hypre_boomeramg_max_row_sum", ssStream.str());
 
    ssStream.str(""); // empty the stringstream
    ssStream << additional_data.strong_threshold;
    set_option_value("-pc_hypre_boomeramg_strong_threshold", ssStream.str());
 
    if (additional_data.symmetric_operator)
      {
        set_option_value("-pc_hypre_boomeramg_relax_type_up",
                         "symmetric-SOR/Jacobi");
        set_option_value("-pc_hypre_boomeramg_relax_type_down",
                         "symmetric-SOR/Jacobi");
        set_option_value("-pc_hypre_boomeramg_relax_type_coarse",
                         "Gaussian-elimination");
      }
    else
      {
        set_option_value("-pc_hypre_boomeramg_relax_type_up", "SOR/Jacobi");
        set_option_value("-pc_hypre_boomeramg_relax_type_down", "SOR/Jacobi");
        set_option_value("-pc_hypre_boomeramg_relax_type_coarse",
                         "Gaussian-elimination");
      }
 
    ierr = PCSetFromOptions(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
#  else
    Assert(false,
           ExcMessage("Your PETSc installation does not include a copy of "
                      "the hypre package necessary for this preconditioner."));
#  endif
  }
 
  void
  PreconditionBoomerAMG::initialize(const MatrixBase &    matrix_,
                                    const AdditionalData &additional_data_)
  {
#  ifdef DEAL_II_PETSC_WITH_HYPRE
    clear();
 
    matrix          = static_cast<Mat>(matrix_);
    additional_data = additional_data_;
 
    create_pc();
    initialize();
 
    PetscErrorCode ierr = PCSetUp(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
#  else // DEAL_II_PETSC_WITH_HYPRE
    (void)matrix_;
    (void)additional_data_;
    Assert(false,
           ExcMessage("Your PETSc installation does not include a copy of "
                      "the hypre package necessary for this preconditioner."));
#  endif
  }
 
 
  /* ----------------- PreconditionParaSails -------------------- */
 
  PreconditionParaSails::AdditionalData::AdditionalData(
    const unsigned int symmetric,
    const unsigned int n_levels,
    const double       threshold,
    const double       filter,
    const bool         output_details)
    : symmetric(symmetric)
    , n_levels(n_levels)
    , threshold(threshold)
    , filter(filter)
    , output_details(output_details)
  {}
 
 
 
  PreconditionParaSails::PreconditionParaSails(
    const MatrixBase &    matrix,
    const AdditionalData &additional_data)
  {
    initialize(matrix, additional_data);
  }
 
 
  void
  PreconditionParaSails::initialize(const MatrixBase &    matrix_,
                                    const AdditionalData &additional_data_)
  {
    clear();
 
    matrix          = static_cast<Mat>(matrix_);
    additional_data = additional_data_;
 
#  ifdef DEAL_II_PETSC_WITH_HYPRE
    create_pc();
 
    PetscErrorCode ierr = PCSetType(pc, const_cast<char *>(PCHYPRE));
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCHYPRESetType(pc, "parasails");
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    if (additional_data.output_details)
      {
        set_option_value("-pc_hypre_parasails_logging", "1");
      }
 
    Assert((additional_data.symmetric == 0 || additional_data.symmetric == 1 ||
            additional_data.symmetric == 2),
           ExcMessage(
             "ParaSails parameter symmetric can only be equal to 0, 1, 2!"));
 
    std::stringstream ssStream;
 
    switch (additional_data.symmetric)
      {
        case 0:
          {
            ssStream << "nonsymmetric";
            break;
          }
 
        case 1:
          {
            ssStream << "SPD";
            break;
          }
 
        case 2:
          {
            ssStream << "nonsymmetric,SPD";
            break;
          }
 
        default:
          Assert(
            false,
            ExcMessage(
              "ParaSails parameter symmetric can only be equal to 0, 1, 2!"));
      }
 
    set_option_value("-pc_hypre_parasails_sym", ssStream.str());
 
    set_option_value("-pc_hypre_parasails_nlevels",
                     std::to_string(additional_data.n_levels));
 
    ssStream.str(""); // empty the stringstream
    ssStream << additional_data.threshold;
    set_option_value("-pc_hypre_parasails_thresh", ssStream.str());
 
    ssStream.str(""); // empty the stringstream
    ssStream << additional_data.filter;
    set_option_value("-pc_hypre_parasails_filter", ssStream.str());
 
    ierr = PCSetFromOptions(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetUp(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
#  else // DEAL_II_PETSC_WITH_HYPRE
    (void)pc;
    Assert(false,
           ExcMessage("Your PETSc installation does not include a copy of "
                      "the hypre package necessary for this preconditioner."));
#  endif
  }
 
 
  /* ----------------- PreconditionNone ------------------------- */
 
  PreconditionNone::PreconditionNone(const MatrixBase &    matrix,
                                     const AdditionalData &additional_data)
  {
    initialize(matrix, additional_data);
  }
 
 
  void
  PreconditionNone::initialize(const MatrixBase &    matrix_,
                               const AdditionalData &additional_data_)
  {
    clear();
 
    matrix          = static_cast<Mat>(matrix_);
    additional_data = additional_data_;
 
    create_pc();
 
    PetscErrorCode ierr = PCSetType(pc, const_cast<char *>(PCNONE));
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetFromOptions(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetUp(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
  }
 
 
  /* ----------------- PreconditionLU -------------------- */
 
  PreconditionLU::AdditionalData::AdditionalData(const double pivoting,
                                                 const double zero_pivot,
                                                 const double damping)
    : pivoting(pivoting)
    , zero_pivot(zero_pivot)
    , damping(damping)
  {}
 
 
 
  PreconditionLU::PreconditionLU(const MatrixBase &    matrix,
                                 const AdditionalData &additional_data)
  {
    initialize(matrix, additional_data);
  }
 
 
  void
  PreconditionLU::initialize(const MatrixBase &    matrix_,
                             const AdditionalData &additional_data_)
  {
    clear();
 
    matrix          = static_cast<Mat>(matrix_);
    additional_data = additional_data_;
 
    create_pc();
 
    PetscErrorCode ierr = PCSetType(pc, const_cast<char *>(PCLU));
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    // set flags as given
    ierr = PCFactorSetColumnPivot(pc, additional_data.pivoting);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCFactorSetZeroPivot(pc, additional_data.zero_pivot);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCFactorSetShiftAmount(pc, additional_data.damping);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetFromOptions(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
 
    ierr = PCSetUp(pc);
    AssertThrow(ierr == 0, ExcPETScError(ierr));
  }
 
} // namespace PETScWrappers
 
DEAL_II_NAMESPACE_CLOSE
 
#endif // DEAL_II_WITH_PETSC