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// @HEADER
// ************************************************************************
//
//           Galeri: Finite Element and Matrix Generation Package
//                 Copyright (2006) ETHZ/Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
//
// 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 Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Questions about Galeri? Contact Marzio Sala (marzio.sala _AT_ gmail.com)
//
// ************************************************************************
// @HEADER

#ifndef GALERI_CARTESIAN2D_H
#define GALERI_CARTESIAN2D_H

#include "Galeri_Exception.h"
#include "Galeri_Utils.h"
#include "Epetra_Comm.h"
#include "Epetra_Map.h"

namespace Galeri {

namespace Maps {

template<typename int_type>
inline
Epetra_Map* 
TCartesian2D(const Epetra_Comm& Comm, const int nx, const int ny,
            const int mx, const int my)
{
  if (nx <= 0 || ny <= 0 || mx <= 0 || my <= 0 || (mx > nx) || (my > ny))
    throw(Exception(__FILE__, __LINE__,
                    "Incorrect input parameter to Maps::Cartesian2D()",
                    "nx = " + toString(nx) +
                    ", ny = " + toString(ny) +
                    ", mx = " + toString(mx) +
                    ", my = " + toString(my)));

  int MyPID = Comm.MyPID(), startx, starty, endx, endy;
  int xpid = MyPID % mx;
  int ypid = MyPID / mx;

  int PerProcSmallXDir = (int) (((double) nx)/((double) mx));
  int PerProcSmallYDir = (int) (((double) ny)/((double) my));
  int NBigXDir         = nx - PerProcSmallXDir*mx;
  int NBigYDir         = ny - PerProcSmallYDir*my;

  if (xpid < NBigXDir) startx =  xpid*(PerProcSmallXDir+1);
  else                 startx = (xpid-NBigXDir)*PerProcSmallXDir + 
                                      NBigXDir*(PerProcSmallXDir+1);
  endx = startx + PerProcSmallXDir;
  if (xpid < NBigXDir) endx++;

  if (ypid < NBigYDir) starty =  ypid*(PerProcSmallYDir+1);
  else                 starty = (ypid-NBigYDir)*PerProcSmallYDir +
                                      NBigYDir*(PerProcSmallYDir+1);
  endy = starty + PerProcSmallYDir;
  if ( ypid < NBigYDir) endy++;

  int NumMyElements = (endx - startx) * (endy - starty);
  std::vector<int_type> MyGlobalElements(NumMyElements);
  int count = 0;

  for (int i = startx ; i < endx ; ++i) 
    for (int j = starty ; j < endy ; ++j) 
      MyGlobalElements[count++] = i + j * nx;

#if !defined(EPETRA_NO_32BIT_GLOBAL_INDICES) || !defined(EPETRA_NO_64BIT_GLOBAL_INDICES)
  return(new Epetra_Map(nx * ny,  NumMyElements, &MyGlobalElements[0],
                        0, Comm));
#else
  return(new Epetra_Map);
#endif

} // TCartesian2D()

#ifndef EPETRA_NO_32BIT_GLOBAL_INDICES
Epetra_Map* 
Cartesian2D(const Epetra_Comm& Comm, const int nx, const int ny,
            const int mx, const int my) {
  return TCartesian2D<int>(Comm, nx, ny, mx, my);
}
#endif

#ifndef EPETRA_NO_64BIT_GLOBAL_INDICES
Epetra_Map* 
Cartesian2D64(const Epetra_Comm& Comm, const int nx, const int ny,
            const int mx, const int my) {
  return TCartesian2D<long long>(Comm, nx, ny, mx, my);
}
#endif

} // namespace Maps
} // namespace Galeri
#endif