linear_algebra_distribution.h

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// LIC// ====================================================================
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#ifndef OOMPH_LINEAR_ALGEBRA_DISTRIBUTION_CLASS_HEADER
#define OOMPH_LINEAR_ALGEBRA_DISTRIBUTION_CLASS_HEADER
 
// Config header generated by autoconfig
#ifdef HAVE_CONFIG_H
#include <oomph-lib-config.h>
#endif
 
// MPI headers
#ifdef OOMPH_HAS_MPI
#include "mpi.h"
#endif
 
#include <ostream>
 
// General headers
#include "Vector.h"
#include "communicator.h"
#include "oomph_utilities.h"
 
 
namespace oomph
{
  //=============================================================================
  /// Describes the distribution of a distributable linear algebra type
  /// object. Typically this is a container (such as a DoubleVector) or an
  /// operator (e.g Preconditioner or LinearSolver).
  /// This object is used in both serial and parallel implementations. In the
  /// serial context (no MPI) this just contains an integer indicating
  /// the number of rows.
  /// In parallel either each processor holds a subset of the set of global
  /// rows. (each processor contains only a single continuous block of rows -
  /// parametised with variables denoting the first row and the number of local
  /// rows) or, all rows are be duplicated across all processors.
  /// In parallel this object also contains an OomphCommunicator object which
  /// primarily contains the MPI_Comm communicator associated with this object.
  //=============================================================================
  class LinearAlgebraDistribution
  {
  public:
    /// Default Constructor - creates a Distribution that has not been
    /// setup
    LinearAlgebraDistribution() : Comm_pt(0) {}
 
    /// Constructor. Takes the first_row, nrow_local (both for this
    /// processor) and nrow as arguments. If nrow is not provided
    /// or equal to 0 then it will be computed automatically
    LinearAlgebraDistribution(const OomphCommunicator& comm,
                              const unsigned& first_row_,
                              const unsigned& n_row_local,
                              const unsigned& n_row = 0)
      : Comm_pt(0)
    {
      this->build(&comm, first_row_, n_row_local, n_row);
    };
 
    /// Constructor. Takes the number of global rows and uniformly
    /// distributes them over the processors if distributed = true (default),
    /// if distributed = false then every row is duplicated on every processor
    LinearAlgebraDistribution(const OomphCommunicator& comm,
                              const unsigned& n_row,
                              const bool& distributed_ = true)
      : Comm_pt(0)
    {
      this->build(&comm, n_row, distributed_);
    };
 
    /// Constructor. Takes the first_row, nrow_local (both for this
    /// processor) and nrow as arguments. If nrow is not provided
    /// or equal to 0 then it will be computed automatically
    LinearAlgebraDistribution(const OomphCommunicator* const comm_pt,
                              const unsigned& first_row_,
                              const unsigned& n_row_local,
                              const unsigned& n_row = 0)
      : Comm_pt(0)
    {
      this->build(comm_pt, first_row_, n_row_local, n_row);
    };
 
    /// Constructor. Takes the number of global rows and uniformly
    /// distributes them over the processors if distributed = true (default),
    /// if distributed = false then every row is duplicated on every processor
    LinearAlgebraDistribution(const OomphCommunicator* const comm_pt,
                              const unsigned& n_row,
                              const bool& distributed_ = true)
      : Comm_pt(0)
    {
      this->build(comm_pt, n_row, distributed_);
    };
 
    /// Copy Constructor.
    LinearAlgebraDistribution(const LinearAlgebraDistribution& old_dist)
      : Comm_pt(0)
    {
      this->build(old_dist);
    }
 
    /// pointer based copy constructor
    LinearAlgebraDistribution(const LinearAlgebraDistribution* old_dist_pt)
      : Comm_pt(0)
    {
      this->build(old_dist_pt);
    }
 
    /// Destructor
    ~LinearAlgebraDistribution()
    {
      delete Comm_pt;
    }
 
    /// Assignment Operator
    void operator=(const LinearAlgebraDistribution& old_dist)
    {
      this->build(old_dist);
    }
 
    /// Sets the distribution. Takes first_row, nrow_local and
    /// nrow as arguments. If nrow is not provided or equal to
    /// 0 then it is computed automatically
    void build(const OomphCommunicator* const comm_pt,
               const unsigned& first_row,
               const unsigned& nrow_local,
               const unsigned& nrow = 0);
 
    /// Build the LinearAlgebraDistribution. if distributed = true
    /// (default) then uniformly distribute nrow over all processors where
    /// processors 0 holds approximately the first nrow/n_proc, processor
    /// 1 holds the next nrow/n_proc and so on... or if distributed = false
    /// then every row is held on every processor
    void build(const OomphCommunicator* const comm_pt,
               const unsigned& nrow,
               const bool& distributed = true);
 
    /// Copy the argument distribution.
    /// Also a helper method for the =assignment operator and copy constructor
    void build(const LinearAlgebraDistribution& new_dist);
 
    /// Copy the argument distribution.
    /// Also a helper method for the =assignment operator and copy constructor
    void build(const LinearAlgebraDistribution* new_dist_pt)
    {
      this->build(*new_dist_pt);
    }
 
    /// clears the distribution
    void clear()
    {
      // delete the communicator
      delete Comm_pt;
      Comm_pt = 0;
 
      // delete first_row and nrow_local
      First_row.clear();
      Nrow_local.clear();
 
      // zero Nrow
      Nrow = 0;
    }
 
    /// access function to the number of global rows.
    unsigned nrow() const
    {
      return Nrow;
    }
 
    /// access function for the num of local rows on this processor. If
    /// no MPI then Nrow is returned.
    unsigned nrow_local() const
    {
      // return the nrow_local
#ifdef OOMPH_HAS_MPI
      if (Distributed)
      {
#ifdef PARANOID
        if (Comm_pt == 0)
        {
          throw OomphLibError(
            "LinearAlgebraDistribution has not been built : Comm_pt == 0.",
            "LinearAlgebraDistribution::nrow_local()",
            OOMPH_EXCEPTION_LOCATION);
        }
#endif
 
        return Nrow_local[Comm_pt->my_rank()];
      }
      else
      {
        return Nrow;
      }
#else
      return Nrow;
#endif
    }
 
    /// access function for the num of local rows on this processor. If
    /// no MPI the nrow is returned
    unsigned nrow_local(const unsigned& p) const
    {
#ifdef PARANOID
      if (Comm_pt == 0)
      {
        throw OomphLibError(
          "LinearAlgebraDistribution has not been built : Comm_pt == 0.",
          OOMPH_CURRENT_FUNCTION,
          OOMPH_EXCEPTION_LOCATION);
      }
      if (p >= unsigned(Comm_pt->nproc()))
      {
        std::ostringstream error_message;
        error_message << "Requested nrow_local(" << p
                      << "), but this distribution is defined "
                      << "on " << Comm_pt->nproc() << "processors.";
        throw OomphLibError(error_message.str(),
                            OOMPH_CURRENT_FUNCTION,
                            OOMPH_EXCEPTION_LOCATION);
      }
#endif
 
      // return the nrow_local
#ifdef OOMPH_HAS_MPI
      if (Distributed)
      {
        return Nrow_local[p];
      }
      else
      {
        return Nrow;
      }
#else
      return Nrow;
#endif
    }
 
    /// access function for the first row on this processor. If not
    /// distributed then this is just zero.
    unsigned first_row() const
    {
      // return the first row
#ifdef OOMPH_HAS_MPI
      if (Distributed)
      {
#ifdef PARANOID
        if (Comm_pt == 0)
        {
          throw OomphLibError(
            "LinearAlgebraDistribution has not been built : Comm_pt == 0.",
            OOMPH_CURRENT_FUNCTION,
            OOMPH_EXCEPTION_LOCATION);
        }
#endif
 
        return First_row[Comm_pt->my_rank()];
      }
      else
      {
        return 0;
      }
#else
      return 0;
#endif
    }
 
    /// access function for the first row on the p-th processor
    unsigned first_row(const unsigned& p) const
    {
#ifdef PARANOID
      if (Comm_pt == 0)
      {
        throw OomphLibError(
          "LinearAlgebraDistribution has not been built : Comm_pt == 0.",
          OOMPH_CURRENT_FUNCTION,
          OOMPH_EXCEPTION_LOCATION);
      }
      if (p >= unsigned(Comm_pt->nproc()))
      {
        std::ostringstream error_message;
        error_message << "Requested first_row(" << p
                      << "), but this distribution is defined "
                      << "on " << Comm_pt->nproc() << "processors.";
        throw OomphLibError(error_message.str(),
                            OOMPH_CURRENT_FUNCTION,
                            OOMPH_EXCEPTION_LOCATION);
      }
 
#endif
 
      // return the first row
#ifdef OOMPH_HAS_MPI
      if (Distributed)
      {
        return First_row[p];
      }
      else
      {
        return 0;
      }
#else
      return 0;
#endif
    }
 
    /// access function to the distributed - indicates whether the
    /// distribution is serial or distributed
    bool distributed() const
    {
      return Distributed;
    }
 
    /// const access to the communicator pointer
    OomphCommunicator* communicator_pt() const
    {
      return Comm_pt;
    }
 
    /// if the communicator_pt is null then the distribution is not setup then
    /// false is returned, otherwise return true
    bool built() const
    {
      if (Comm_pt == 0)
      {
        return false;
      }
      return true;
    }
 
    /// == Operator
    bool operator==(const LinearAlgebraDistribution& other_dist) const;
 
    /// != operator
    bool operator!=(const LinearAlgebraDistribution& other_dist) const
    {
      return !(*this == other_dist);
    }
 
    /// << operator
    friend std::ostream& operator<<(std::ostream& stream,
                                    LinearAlgebraDistribution& dist);
 
    /// return the local index corresponding to the global index
    unsigned global_to_local_row_map(const unsigned& global_i) const
    {
#ifdef PARANOID
      if (global_i >= Nrow)
      {
        throw OomphLibError(
          "Requested global row outside the number of global rows",
          OOMPH_CURRENT_FUNCTION,
          OOMPH_EXCEPTION_LOCATION);
      }
#endif
      int local_i = static_cast<int>(global_i);
      int p = 0;
      while ((int)(local_i - (int)nrow_local(p)) >= 0)
      {
        local_i -= (int)nrow_local(p);
        p++;
      }
      return (unsigned)local_i;
    }
 
    /// return the processor rank of the global row number i
    unsigned rank_of_global_row(const unsigned i) const
    {
      unsigned p = 0;
      while (i < first_row(p) || i >= first_row(p) + nrow_local(p))
      {
        p++;
      }
      return p;
    }
 
    /// return the nrow_local Vector
    Vector<unsigned> nrow_local_vector() const
    {
      return Nrow_local;
    }
 
    /// return the first_row Vector
    Vector<unsigned> first_row_vector() const
    {
      return First_row;
    }
 
  private:
    /// the number of global rows
    unsigned Nrow;
 
    /// the number of local rows on the processor
    Vector<unsigned> Nrow_local;
 
    /// the first row on this processor
    Vector<unsigned> First_row;
 
    /// flag to indicate whether this distribution describes an object that is
    /// distributed over the processors of Comm_pt (true) or duplicated over the
    /// processors of Comm_pt (false)
    bool Distributed;
 
    /// the pointer to the MPI communicator object in this distribution
    OomphCommunicator* Comm_pt;
  }; // end of LinearAlgebraDistribution
 
 
  //=============================================================================
  /// Base class for any linear algebra object that is distributable.
  /// Just contains storage for the LinearAlgebraDistribution object and
  /// access functions
  //=============================================================================
  class DistributableLinearAlgebraObject
  {
  public:
    /// Default constructor - create a distribution
    DistributableLinearAlgebraObject()
    {
      Distribution_pt = new LinearAlgebraDistribution;
    }
 
    /// Broken copy constructor
    DistributableLinearAlgebraObject(
      const DistributableLinearAlgebraObject& matrix) = delete;
 
    /// Broken assignment operator
    void operator=(const DistributableLinearAlgebraObject&) = delete;
 
    /// Destructor
    virtual ~DistributableLinearAlgebraObject()
    {
      delete Distribution_pt;
    }
 
    /// access to the LinearAlgebraDistribution
    LinearAlgebraDistribution* distribution_pt() const
    {
      return Distribution_pt;
    }
 
    /// access function to the number of global rows.
    unsigned nrow() const
    {
      return Distribution_pt->nrow();
    }
 
    /// access function for the num of local rows on this processor.
    unsigned nrow_local() const
    {
      return Distribution_pt->nrow_local();
    }
 
    /// access function for the num of local rows on this processor.
    unsigned nrow_local(const unsigned& p) const
    {
      return Distribution_pt->nrow_local(p);
    }
 
    /// access function for the first row on this processor
    unsigned first_row() const
    {
      return Distribution_pt->first_row();
    }
 
    /// access function for the first row on this processor
    unsigned first_row(const unsigned& p) const
    {
      return Distribution_pt->first_row(p);
    }
 
    /// distribution is serial or distributed
    bool distributed() const
    {
      return Distribution_pt->distributed();
    }
 
    /// if the communicator_pt is null then the distribution is not setup then
    /// false is returned, otherwise return true
    bool distribution_built() const
    {
      return Distribution_pt->built();
    }
 
    /// setup the distribution of this distributable linear algebra
    /// object
    void build_distribution(const LinearAlgebraDistribution* const dist_pt)
    {
      Distribution_pt->build(dist_pt);
    }
 
    /// setup the distribution of this distributable linear algebra
    /// object
    void build_distribution(const LinearAlgebraDistribution& dist)
    {
      Distribution_pt->build(dist);
    }
 
  protected:
    /// clear the distribution of this distributable linear algebra
    /// object
    void clear_distribution()
    {
      Distribution_pt->clear();
    }
 
  private:
    /// the LinearAlgebraDistribution object
    LinearAlgebraDistribution* Distribution_pt;
  }; // end of DistributableLinearAlgebraObject
 
  //=============================================================================
  /// Namespace for helper functions for LinearAlgebraDistributions
  //=============================================================================
  namespace LinearAlgebraDistributionHelpers
  {
    /// Takes a vector of LinearAlgebraDistribution objects and
    /// concatenates them such that the nrow_local of the out_distribution
    /// is the sum of the nrow_local of all the in_distributions and the number
    /// of global rows of the out_distribution is the sum of the number of
    /// global rows of all the in_distributions. This results in a permutation
    /// of the rows in the out_distribution. Think of this in terms of
    /// DoubleVectors, if we have DoubleVectors with distributions A and B,
    /// distributed across two processors (p0 and p1), A: [a0] (on p0)    B:
    /// [b0] (on p0)
    ///    [a1] (on p1)       [b1] (on P1),
    ///
    /// then the out_distribution is
    /// [a0  (on p0)
    ///  b0] (on p0)
    /// [a1  (on p1)
    ///  b1] (on p1),
    ///
    /// as opposed to
    /// [a0  (on p0)
    ///  a1] (on p0)
    /// [b0  (on p1)
    ///  b1] (on p1).
    ///
    /// Note (1): The out_distribution may not be uniformly distributed even
    /// if the in_distributions are uniform distributions.
    /// Try this out with two distributions of global rows 3 and 5, uniformly
    /// distributed across two processors. Compare this against a distribution
    /// of global row 8 distributed across two processors.
    ///
    /// Note (2): There is no equivalent function which takes a Vector of
    /// LinearAlgebraDistribution objects (as opposed to pointers), there should
    /// not be one since we do not want to invoke the assignment operator when
    /// creating the Vector of LinearAlgebraDistribution objects.
    void concatenate(
      const Vector<LinearAlgebraDistribution*>& in_distribution_pt,
      LinearAlgebraDistribution& out_distribution);
  } // namespace LinearAlgebraDistributionHelpers
} // namespace oomph
#endif