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 /*@@
   @file      WaveToy.c
   @date      
   @author    Tom Goodale
   @desc 
              Evolution routines for the wave equation solver
   @enddesc 
   @version $Header$
 @@*/

  
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"

#include "Symmetry.h"

static const char *rcsid = "$Header$";

CCTK_FILEVERSION(CactusWave_WaveToyC_WaveToy_c);

void WaveToyC_Boundaries(CCTK_ARGUMENTS);
void  WaveToyC_Evolution(CCTK_ARGUMENTS);

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

void  WaveToyC_Evolution(CCTK_ARGUMENTS)
{

  DECLARE_CCTK_ARGUMENTS;
      
  int i,j,k;
  int index;
  int istart, jstart, kstart, iend, jend, kend;
  CCTK_REAL dx,dy,dz,dt,dx2,dy2,dz2,dt2;
  CCTK_REAL dx2i,dy2i,dz2i;

  CCTK_REAL factor;

  /* Set up shorthands */
  dx = CCTK_DELTA_SPACE(0);
  dy = CCTK_DELTA_SPACE(1);
  dz = CCTK_DELTA_SPACE(2);
  dt = CCTK_DELTA_TIME;

  dx2 = dx*dx;
  dy2 = dy*dy;
  dz2 = dz*dz;
  dt2 = dt*dt;

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

  istart = 1;
  jstart = 1;
  kstart = 1;
  
  iend = cctk_lsh[0]-1;
  jend = cctk_lsh[1]-1;
  kend = cctk_lsh[2]-1;

  /* Do the evolution */
  factor = 2*(1 - (dt2)*(dx2i + dy2i + dz2i));

  for (k=kstart; k<kend; k++)
  {
    for (j=jstart; j<jend; j++)
    {
      for (i=istart; i<iend; i++)
      {
        index = CCTK_GFINDEX3D(cctkGH,i,j,k);
        
        phi[index] = factor*
	             phi_p[index] - phi_p_p[index] 
                     + (dt2) * 
                   ( ( phi_p[CCTK_GFINDEX3D(cctkGH,i+1,j  ,k  )]
                      +phi_p[CCTK_GFINDEX3D(cctkGH,i-1,j  ,k  )] )*dx2i
                    +( phi_p[CCTK_GFINDEX3D(cctkGH,i  ,j+1,k  )]
                      +phi_p[CCTK_GFINDEX3D(cctkGH,i  ,j-1,k  )] )*dy2i
                    +( phi_p[CCTK_GFINDEX3D(cctkGH,i  ,j  ,k+1)]
                      +phi_p[CCTK_GFINDEX3D(cctkGH,i  ,j,  k-1)] )*dz2i);
      } 
    }
  }

  return;
}


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

void WaveToyC_Boundaries(CCTK_ARGUMENTS)
{
  DECLARE_CCTK_ARGUMENTS;
  DECLARE_CCTK_PARAMETERS;

  int ierr=0;

  ierr = CartSymGN(cctkGH,"wavetoy::scalarevolve");

  if (CCTK_EQUALS(bound,"flat") || CCTK_EQUALS(bound,"static") || 
      CCTK_EQUALS(bound,"radiation") || CCTK_EQUALS(bound,"robin") || 
      CCTK_EQUALS(bound,"zero") || 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);
  }

  if (ierr < 0) 
  {
    CCTK_VWarn(0,__LINE__,__FILE__,CCTK_THORNSTRING,
	       "WaveToyC_Boundaries: Error selecting boundary "
	       "condition %s",bound);
  }

  return;
}