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 /*@@
   @file      WaveToy.cc
   @date      
   @author    Tom Goodale
   @desc 
              Evolution routines for the wave equation solver
   @enddesc 
   @version $Header$
 @@*/
 
#include "cctk.h" 
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"

static char *rcsid = "$Header$";

CCTK_FILEVERSION (CactusWave_WaveToyCXX_WaveToy_cc);

#define val(gridfunc,i,j,k)  gridfunc[CCTK_GFINDEX3D(cctkGH,i,j,k)]

 /*@@
   @routine    WaveToyC_Evolution
   @date       
   @author     Tom Goodale
   @desc 
               Evolution for the wave equation
   @enddesc 
   @calls      CCTK_SyncGroup, WaveToyC_Boundaries
   @calledby   
   @history 
 
   @endhistory 

@@*/

extern "C" void  WaveToyCXX_Evolution(CCTK_ARGUMENTS)
{

  DECLARE_CCTK_ARGUMENTS

  // Set up shorthands 

  CCTK_REAL dx = CCTK_DELTA_SPACE(0);
  CCTK_REAL dy = CCTK_DELTA_SPACE(1);
  CCTK_REAL dz = CCTK_DELTA_SPACE(2);
  CCTK_REAL dt = CCTK_DELTA_TIME;
      
  CCTK_REAL dx2 = dx*dx;
  CCTK_REAL dy2 = dy*dy;
  CCTK_REAL dz2 = dz*dz;
  CCTK_REAL dt2 = dt*dt;

  CCTK_REAL dx2i = 1.0/dx2;
  CCTK_REAL dy2i = 1.0/dy2;
  CCTK_REAL dz2i = 1.0/dz2;

  CCTK_REAL factor = 2*(1 - (dt2)*(dx2i + dy2i + dz2i));

  int istart = 1;
  int jstart = 1;
  int kstart = 1;

  int iend = cctk_lsh[0]-1;
  int jend = cctk_lsh[1]-1;
  int kend = cctk_lsh[2]-1; 

  //
  // Do the evolution 
  // 

  for (int k=kstart; k<kend; k++)
  {
    for (int j=jstart; j<jend; j++)
    {
      for (int i=istart; i<iend; i++)
      {
        int index = CCTK_GFINDEX3D(cctkGH,i,j,k);

        phi[index] =
	  factor*phi_p[index] - phi_p_p[index] 
	  + dt2 * 
	  ( (  val( phi_p, i+1,j  ,k  ) + val( phi_p, i-1,j  ,k)   )*dx2i
	    +( val( phi_p, i  ,j+1,k  ) + val( phi_p, i  ,j-1,k)   )*dy2i
	    +( val( phi_p, i  ,j  ,k+1) + val( phi_p, i  ,j,  k-1) )*dz2i
	    );
      } 
    }
  }

  return;
}

 /*@@
   @routine    WaveToyC_Boundaries
   @date       
   @author     Tom Goodale
   @desc 
               Boundary conditions for the wave equation
   @enddesc 
   @calls     
   @calledby   
   @history 
 
   @endhistory 

@@*/

extern "C" void WaveToyCXX_Boundaries(CCTK_ARGUMENTS)
{
  DECLARE_CCTK_ARGUMENTS;
  DECLARE_CCTK_PARAMETERS;

  int ierr = 0;

  if (CCTK_EQUALS(bound,"flat") || CCTK_EQUALS(bound,"static") || 
      CCTK_EQUALS(bound,"radiation") || CCTK_EQUALS(bound,"robin") || 
      CCTK_EQUALS(bound,"none"))
  {
    // Uses all default arguments, so invalid table handle -1 can be passed
    ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, 
				   "wavetoy::phi", bound);
  }
  else if (CCTK_EQUALS(bound,"zero"))
  {
    // Uses all default arguments, so invalid table handle -1 can be passed
    ierr = Boundary_SelectVarForBC
      (cctkGH, CCTK_ALL_FACES, 1, -1, "wavetoy::phi", "scalar");

  }

  if (ierr < 0) 
  {
    CCTK_WARN(0,"WaveToyCXX_Boundaries: Error selecting boundary condition");
  }

  return;
}