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/* XXX cleanup the include files ! */

#include <assert.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>

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

#include "util_ErrorCodes.h"
#include "util_Table.h"


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

CCTK_FILEVERSION(Norms_Compute_Norm_c);


void Norms_Compute_Norms (CCTK_ARGUMENTS)
{
  DECLARE_CCTK_ARGUMENTS;
  DECLARE_CCTK_PARAMETERS;

  int vind; /* variable index */
  CCTK_REAL *data;
  int index,indexp, i,j,k;
  int ierr;
  int istart, iend, jstart, jend, kstart, kend;
  int npoints;
  CCTK_REAL hd, dx,dy,dz;
  CCTK_REAL deriv;
  int target_proc,reduction_handle;
  CCTK_REAL result;

  if (verbose>1)
    CCTK_INFO("computing norms");

  *norm=0.;
  result=0.;

  dx = CCTK_DELTA_SPACE(0);
  dy = CCTK_DELTA_SPACE(1);
  dz = CCTK_DELTA_SPACE(2);

  /* XXX ghost size */
  istart = 1;
  jstart = 1;
  kstart = 1;

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

  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);
        diff_term[index]=0.;
      }
    }
  }

  target_proc = 0;
  reduction_handle = CCTK_ReductionArrayHandle("norm2");
  if (reduction_handle < 0)
       CCTK_VWarn(0, __LINE__, __FILE__, CCTK_THORNSTRING,
                        "can't get sum-reduction handle!");

  if (verbose>2)
    fprintf(stderr,"   nr1stvars %d nr2ndvars %d\n",
                       *nr1stvars,*nr2ndvars);

  /* L2-norm of 1st order variables */
  for (vind=0; vind< *nr1stvars; vind++) {
    ierr=CCTK_Reduce(cctkGH,target_proc,reduction_handle,1,
                  CCTK_VARIABLE_REAL,&result,1,varindices_1st[vind]);
    if (ierr<0)
        CCTK_WARN(1,"reduction failed");
    if (verbose>4) {
      fprintf(stderr,"     vind=%d vi=%d var=%s result=%1.8g\n",
            vind,varindices_1st[vind],
            CCTK_VarName(varindices_1st[vind]),result);
    }
    result=result-bgvals_1st[vind];
    *norm=*norm+result*result;
  }

  if (verbose>2)
    fprintf(stderr,"  after 1st order vars norm=%16.8g\n",*norm);

  /* L2-norm of 2nd order variables */
  for (vind=0; vind< *nr2ndvars; vind++) {
    ierr=CCTK_Reduce(cctkGH,target_proc,reduction_handle,1,
                  CCTK_VARIABLE_REAL,&result,1,varindices_2nd[vind]);
    if (ierr<0)
      CCTK_WARN(1,"reduction failed");
    if (verbose>4) {
      fprintf(stderr,"     vind=%d vi=%d var=%s result=%1.8g\n",
            vind,varindices_2nd[vind],
            CCTK_VarName(varindices_2nd[vind]),result);
    }
    result=result-bgvals_2nd[vind];
    *norm=*norm+result*result;
  }

  if (verbose>2)
    fprintf(stderr,"  after 2nd order vars norm=%16.8g\n",*norm);

  /* L2-norm of D_{+i} terms */
  /* d_x */
  for (vind=0; vind< *nr2ndvars; vind++) {
    data=CCTK_VarDataPtrI(cctkGH,0,varindices_2nd[vind]);
    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);
          indexp=CCTK_GFINDEX3D(cctkGH,i+1,j,k);
          diff_term[index]=(data[indexp]-data[index])/dx;
        }
      }
    }
    ierr=CCTK_Reduce(cctkGH,target_proc,reduction_handle,1,
                  CCTK_VARIABLE_REAL,&result,1,
                  CCTK_VarIndex("norms::diff_term"));
    if (ierr<0)
      CCTK_WARN(1,"reduction failed");
    if (verbose>4) {
      fprintf(stderr,"     vind=%d vi=%d var=%s result=%1.8g\n",
            vind,varindices_2nd[vind],
            CCTK_VarName(varindices_2nd[vind]),result);
    }
    *norm=*norm+result*result;
  }

  if (verbose>2)
    fprintf(stderr,"  after dx 2nd order terms norm=%16.8g\n",*norm);

  /* d_y */
  for (vind=0; vind< *nr2ndvars; vind++) {
    data=CCTK_VarDataPtrI(cctkGH,0,varindices_2nd[vind]);
    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);
          indexp=CCTK_GFINDEX3D(cctkGH,i,j+1,k);
          diff_term[index]=(data[indexp]-data[index])/dy;
        }
      }
    }
    ierr=CCTK_Reduce(cctkGH,target_proc,reduction_handle,1,
                  CCTK_VARIABLE_REAL,&result,1,
                  CCTK_VarIndex("norms::diff_term"));
    if (ierr<0)
      CCTK_WARN(1,"reduction failed");
    if (verbose>4) {
      fprintf(stderr,"     vind=%d vi=%d var=%s result=%1.8g\n",
            vind,varindices_2nd[vind],
            CCTK_VarName(varindices_2nd[vind]),result);
    }
    *norm=*norm+result*result;
  }

  if (verbose>2)
    fprintf(stderr,"  after dy 2nd order terms norm=%16.8g\n",*norm);

  /* d_z */
  for (vind=0; vind< *nr2ndvars; vind++) {
    data=CCTK_VarDataPtrI(cctkGH,0,varindices_2nd[vind]);
    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);
          indexp=CCTK_GFINDEX3D(cctkGH,i,j,k+1);
          diff_term[index]=(data[indexp]-data[index])/dz;
        }
      }
    }
    ierr=CCTK_Reduce(cctkGH,target_proc,reduction_handle,1,
                  CCTK_VARIABLE_REAL,&result,1,
                  CCTK_VarIndex("norms::diff_term"));
    if (ierr<0)
      CCTK_WARN(1,"reduction failed");
    if (verbose>4) {
      fprintf(stderr,"     vind=%d vi=%d var=%s result=%1.8g\n",
            vind,varindices_2nd[vind],
            CCTK_VarName(varindices_2nd[vind]),result);
    }
    *norm=*norm+result*result;
  }

  if (verbose>2)
    fprintf(stderr,"  after dz 2nd order terms norm=%16.8g\n",*norm);

  if (verbose>2)
    fprintf(stderr,"  after 2nd order vars (incl. D_{+i}): norm=%16.8g\n",
                   *norm);
  if (verbose>2)
    fprintf(stderr,"final norm^2=%16.8g on this CPU\n",*norm);

  *norm=sqrt(*norm);

  if (verbose>1)
    CCTK_VInfo(CCTK_THORNSTRING,"norm= %16.8g",*norm);

}