impls/da/dalocal.c

#define PETSCDM_DLL

/*
  Code for manipulating distributed regular arrays in parallel.
*/

#include "private/daimpl.h"    /*I   "petscdm.h"   I*/

/*
   This allows the DMDA vectors to properly tell MATLAB their dimensions
*/
#if defined(PETSC_HAVE_MATLAB_ENGINE)
#include "engine.h"   /* MATLAB include file */
#include "mex.h"      /* MATLAB include file */
EXTERN_C_BEGIN
#undef __FUNCT__
#define __FUNCT__ "VecMatlabEnginePut_DA2d"
PetscErrorCode  VecMatlabEnginePut_DA2d(PetscObject obj,void *mengine)
{
  PetscErrorCode ierr;
  PetscInt       n,m;
  Vec            vec = (Vec)obj;
  PetscScalar    *array;
  mxArray        *mat;
  DM             da;

  PetscFunctionBegin;
  ierr = PetscObjectQuery((PetscObject)vec,"DMDA",(PetscObject*)&da);CHKERRQ(ierr);
  if (!da) SETERRQ(((PetscObject)vec)->comm,PETSC_ERR_ARG_WRONGSTATE,"Vector not associated with a DMDA");
  ierr = DMDAGetGhostCorners(da,0,0,0,&m,&n,0);CHKERRQ(ierr);

  ierr = VecGetArray(vec,&array);CHKERRQ(ierr);
#if !defined(PETSC_USE_COMPLEX)
  mat  = mxCreateDoubleMatrix(m,n,mxREAL);
#else
  mat  = mxCreateDoubleMatrix(m,n,mxCOMPLEX);
#endif
  ierr = PetscMemcpy(mxGetPr(mat),array,n*m*sizeof(PetscScalar));CHKERRQ(ierr);
  ierr = PetscObjectName(obj);CHKERRQ(ierr);
  engPutVariable((Engine *)mengine,obj->name,mat);

  ierr = VecRestoreArray(vec,&array);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}
EXTERN_C_END
#endif


#undef __FUNCT__
#define __FUNCT__ "DMCreateLocalVector_DA"
PetscErrorCode  DMCreateLocalVector_DA(DM da,Vec* g)
{
  PetscErrorCode ierr;
  DM_DA          *dd = (DM_DA*)da->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(da,DM_CLASSID,1);
  PetscValidPointer(g,2);
  ierr = VecCreate(PETSC_COMM_SELF,g);CHKERRQ(ierr);
  ierr = VecSetSizes(*g,dd->nlocal,PETSC_DETERMINE);CHKERRQ(ierr);
  ierr = VecSetType(*g,da->vectype);CHKERRQ(ierr);
  ierr = VecSetBlockSize(*g,dd->w);CHKERRQ(ierr);
  ierr = PetscObjectCompose((PetscObject)*g,"DMDA",(PetscObject)da);CHKERRQ(ierr);
#if defined(PETSC_HAVE_MATLAB_ENGINE)
  if (dd->w == 1  && dd->dim == 2) {
    ierr = PetscObjectComposeFunctionDynamic((PetscObject)*g,"PetscMatlabEnginePut_C","VecMatlabEnginePut_DA2d",VecMatlabEnginePut_DA2d);CHKERRQ(ierr);
  }
#endif
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMGetLocalVector"
/*@
   DMGetLocalVector - Gets a Seq PETSc vector that
   may be used with the DMXXX routines. This vector has spaces for the ghost values.

   Not Collective

   Input Parameter:
.  dm - the distributed array

   Output Parameter:
.  g - the local vector

   Level: beginner

   Note:
   The vector values are NOT initialized and may have garbage in them, so you may need
   to zero them.

   The output parameter, g, is a regular PETSc vector that should be returned with
   DMRestoreLocalVector() DO NOT call VecDestroy() on it.

   VecStride*() operations can be useful when using DM with dof > 1

.keywords: distributed array, create, local, vector

.seealso: DMCreateGlobalVector(), VecDuplicate(), VecDuplicateVecs(),
          DMDACreate1d(), DMDACreate2d(), DMDACreate3d(), DMGlobalToLocalBegin(),
          DMGlobalToLocalEnd(), DMLocalToGlobalBegin(), DMCreateLocalVector(), DMRestoreLocalVector(),
          VecStrideMax(), VecStrideMin(), VecStrideNorm()
@*/
PetscErrorCode  DMGetLocalVector(DM dm,Vec* g)
{
  PetscErrorCode ierr,i;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm,DM_CLASSID,1);
  PetscValidPointer(g,2);
  for (i=0; i<DM_MAX_WORK_VECTORS; i++) {
    if (dm->localin[i]) {
      *g             = dm->localin[i];
      dm->localin[i] = PETSC_NULL;
      goto alldone;
    }
  }
  ierr = DMCreateLocalVector(dm,g);CHKERRQ(ierr);

  alldone:
  for (i=0; i<DM_MAX_WORK_VECTORS; i++) {
    if (!dm->localout[i]) {
      dm->localout[i] = *g;
      break;
    }
  }
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMRestoreLocalVector"
/*@
   DMRestoreLocalVector - Returns a Seq PETSc vector that
     obtained from DMGetLocalVector(). Do not use with vector obtained via
     DMCreateLocalVector().

   Not Collective

   Input Parameter:
+  dm - the distributed array
-  g - the local vector

   Level: beginner

.keywords: distributed array, create, local, vector

.seealso: DMCreateGlobalVector(), VecDuplicate(), VecDuplicateVecs(),
          DMDACreate1d(), DMDACreate2d(), DMDACreate3d(), DMGlobalToLocalBegin(),
          DMGlobalToLocalEnd(), DMLocalToGlobalBegin(), DMCreateLocalVector(), DMGetLocalVector()
@*/
PetscErrorCode  DMRestoreLocalVector(DM dm,Vec* g)
{
  PetscErrorCode ierr;
  PetscInt       i,j;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm,DM_CLASSID,1);
  PetscValidPointer(g,2);
  for (j=0; j<DM_MAX_WORK_VECTORS; j++) {
    if (*g == dm->localout[j]) {
      dm->localout[j] = PETSC_NULL;
      for (i=0; i<DM_MAX_WORK_VECTORS; i++) {
        if (!dm->localin[i]) {
          dm->localin[i] = *g;
          goto alldone;
        }
      }
    }
  }
  ierr = VecDestroy(*g);CHKERRQ(ierr);
  alldone:
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMGetGlobalVector"
/*@
   DMGetGlobalVector - Gets a MPI PETSc vector that
   may be used with the DMXXX routines.

   Collective on DM

   Input Parameter:
.  dm - the distributed array

   Output Parameter:
.  g - the global vector

   Level: beginner

   Note:
   The vector values are NOT initialized and may have garbage in them, so you may need
   to zero them.

   The output parameter, g, is a regular PETSc vector that should be returned with
   DMRestoreGlobalVector() DO NOT call VecDestroy() on it.

   VecStride*() operations can be useful when using DM with dof > 1

.keywords: distributed array, create, Global, vector

.seealso: DMCreateGlobalVector(), VecDuplicate(), VecDuplicateVecs(),
          DMDACreate1d(), DMDACreate2d(), DMDACreate3d(), DMGlobalToLocalBegin(),
          DMGlobalToLocalEnd(), DMLocalToGlobalBegin(), DMCreateLocalVector(), DMRestoreLocalVector()
          VecStrideMax(), VecStrideMin(), VecStrideNorm()

@*/
PetscErrorCode  DMGetGlobalVector(DM dm,Vec* g)
{
  PetscErrorCode ierr;
  PetscInt       i;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm,DM_CLASSID,1);
  PetscValidPointer(g,2);
  for (i=0; i<DM_MAX_WORK_VECTORS; i++) {
    if (dm->globalin[i]) {
      *g             = dm->globalin[i];
      dm->globalin[i] = PETSC_NULL;
      goto alldone;
    }
  }
  ierr = DMCreateGlobalVector(dm,g);CHKERRQ(ierr);

  alldone:
  for (i=0; i<DM_MAX_WORK_VECTORS; i++) {
    if (!dm->globalout[i]) {
      dm->globalout[i] = *g;
      break;
    }
  }
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMRestoreGlobalVector"
/*@
   DMRestoreGlobalVector - Returns a Seq PETSc vector that
     obtained from DMGetGlobalVector(). Do not use with vector obtained via
     DMCreateGlobalVector().

   Not Collective

   Input Parameter:
+  dm - the distributed array
-  g - the global vector

   Level: beginner

.keywords: distributed array, create, global, vector

.seealso: DMCreateGlobalVector(), VecDuplicate(), VecDuplicateVecs(),
          DMDACreate1d(), DMDACreate2d(), DMDACreate3d(), DMGlobalToGlobalBegin(),
          DMGlobalToGlobalEnd(), DMGlobalToGlobal(), DMCreateLocalVector(), DMGetGlobalVector()
@*/
PetscErrorCode  DMRestoreGlobalVector(DM dm,Vec* g)
{
  PetscErrorCode ierr;
  PetscInt       i,j;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm,DM_CLASSID,1);
  PetscValidPointer(g,2);
  for (j=0; j<DM_MAX_WORK_VECTORS; j++) {
    if (*g == dm->globalout[j]) {
      dm->globalout[j] = PETSC_NULL;
      for (i=0; i<DM_MAX_WORK_VECTORS; i++) {
        if (!dm->globalin[i]) {
          dm->globalin[i] = *g;
          goto alldone;
        }
      }
    }
  }
  ierr = VecDestroy(*g);CHKERRQ(ierr);
  alldone:
  PetscFunctionReturn(0);
}

/* ------------------------------------------------------------------- */
#if defined(PETSC_HAVE_ADIC)

EXTERN_C_BEGIN
#include "adic/ad_utils.h"
EXTERN_C_END

#undef __FUNCT__
#define __FUNCT__ "DMDAGetAdicArray"
/*@C
     DMDAGetAdicArray - Gets an array of derivative types for a DMDA

    Input Parameter:
+    da - information about my local patch
-    ghosted - do you want arrays for the ghosted or nonghosted patch

    Output Parameters:
+    vptr - array data structured to be passed to ad_FormFunctionLocal()
.    array_start - actual start of 1d array of all values that adiC can access directly (may be null)
-    tdof - total number of degrees of freedom represented in array_start (may be null)

     Notes:
       The vector values are NOT initialized and may have garbage in them, so you may need
       to zero them.

       Returns the same type of object as the DMDAVecGetArray() except its elements are
           derivative types instead of PetscScalars

     Level: advanced

.seealso: DMDARestoreAdicArray()

@*/
PetscErrorCode  DMDAGetAdicArray(DM da,PetscBool  ghosted,void *vptr,void *array_start,PetscInt *tdof)
{
  PetscErrorCode ierr;
  PetscInt       j,i,deriv_type_size,xs,ys,xm,ym,zs,zm,itdof;
  char           *iarray_start;
  void           **iptr = (void**)vptr;
  DM_DA          *dd = (DM_DA*)da->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(da,DM_CLASSID,1);
  if (ghosted) {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (dd->adarrayghostedin[i]) {
        *iptr                   = dd->adarrayghostedin[i];
        iarray_start            = (char*)dd->adstartghostedin[i];
        itdof                   = dd->ghostedtdof;
        dd->adarrayghostedin[i] = PETSC_NULL;
        dd->adstartghostedin[i] = PETSC_NULL;

        goto done;
      }
    }
    xs = dd->Xs;
    ys = dd->Ys;
    zs = dd->Zs;
    xm = dd->Xe-dd->Xs;
    ym = dd->Ye-dd->Ys;
    zm = dd->Ze-dd->Zs;
  } else {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (dd->adarrayin[i]) {
        *iptr            = dd->adarrayin[i];
        iarray_start     = (char*)dd->adstartin[i];
        itdof            = dd->tdof;
        dd->adarrayin[i] = PETSC_NULL;
        dd->adstartin[i] = PETSC_NULL;

        goto done;
      }
    }
    xs = dd->xs;
    ys = dd->ys;
    zs = dd->zs;
    xm = dd->xe-dd->xs;
    ym = dd->ye-dd->ys;
    zm = dd->ze-dd->zs;
  }
  deriv_type_size = PetscADGetDerivTypeSize();

  switch (dd->dim) {
    case 1: {
      void *ptr;
      itdof = xm;

      ierr  = PetscMalloc(xm*deriv_type_size,&iarray_start);CHKERRQ(ierr);

      ptr   = (void*)(iarray_start - xs*deriv_type_size);
      *iptr = (void*)ptr;
      break;}
    case 2: {
      void **ptr;
      itdof = xm*ym;

      ierr  = PetscMalloc((ym+1)*sizeof(void*)+xm*ym*deriv_type_size,&iarray_start);CHKERRQ(ierr);

      ptr  = (void**)(iarray_start + xm*ym*deriv_type_size - ys*sizeof(void*));
      for(j=ys;j<ys+ym;j++) {
        ptr[j] = iarray_start + deriv_type_size*(xm*(j-ys) - xs);
      }
      *iptr = (void*)ptr;
      break;}
    case 3: {
      void ***ptr,**bptr;
      itdof = xm*ym*zm;

      ierr  = PetscMalloc((zm+1)*sizeof(void **)+(ym*zm+1)*sizeof(void*)+xm*ym*zm*deriv_type_size,&iarray_start);CHKERRQ(ierr);

      ptr  = (void***)(iarray_start + xm*ym*zm*deriv_type_size - zs*sizeof(void*));
      bptr = (void**)(iarray_start + xm*ym*zm*deriv_type_size + zm*sizeof(void**));

      for(i=zs;i<zs+zm;i++) {
        ptr[i] = bptr + ((i-zs)*ym - ys);
      }
      for (i=zs; i<zs+zm; i++) {
        for (j=ys; j<ys+ym; j++) {
          ptr[i][j] = iarray_start + deriv_type_size*(xm*ym*(i-zs) + xm*(j-ys) - xs);
        }
      }

      *iptr = (void*)ptr;
      break;}
    default:
      SETERRQ1(((PetscObject)da)->comm,PETSC_ERR_SUP,"Dimension %D not supported",dd->dim);
  }

  done:
  /* add arrays to the checked out list */
  if (ghosted) {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (!dd->adarrayghostedout[i]) {
        dd->adarrayghostedout[i] = *iptr ;
        dd->adstartghostedout[i] = iarray_start;
        dd->ghostedtdof          = itdof;
        break;
      }
    }
  } else {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (!dd->adarrayout[i]) {
        dd->adarrayout[i] = *iptr ;
        dd->adstartout[i] = iarray_start;
        dd->tdof          = itdof;
        break;
      }
    }
  }
  if (i == DMDA_MAX_AD_ARRAYS+1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Too many DMDA ADIC arrays obtained");
  if (tdof)        *tdof = itdof;
  if (array_start) *(void**)array_start = iarray_start;
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMDARestoreAdicArray"
/*@C
     DMDARestoreAdicArray - Restores an array of derivative types for a DMDA

    Input Parameter:
+    da - information about my local patch
-    ghosted - do you want arrays for the ghosted or nonghosted patch

    Output Parameters:
+    ptr - array data structured to be passed to ad_FormFunctionLocal()
.    array_start - actual start of 1d array of all values that adiC can access directly
-    tdof - total number of degrees of freedom represented in array_start

     Level: advanced

.seealso: DMDAGetAdicArray()

@*/
PetscErrorCode  DMDARestoreAdicArray(DM da,PetscBool  ghosted,void *ptr,void *array_start,PetscInt *tdof)
{
  PetscInt  i;
  void      **iptr = (void**)ptr,iarray_start = 0;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(da,DM_CLASSID,1);
  if (ghosted) {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (dd->adarrayghostedout[i] == *iptr) {
        iarray_start             = dd->adstartghostedout[i];
        dd->adarrayghostedout[i] = PETSC_NULL;
        dd->adstartghostedout[i] = PETSC_NULL;
        break;
      }
    }
    if (!iarray_start) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Could not find array in checkout list");
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (!dd->adarrayghostedin[i]){
        dd->adarrayghostedin[i] = *iptr;
        dd->adstartghostedin[i] = iarray_start;
        break;
      }
    }
  } else {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (dd->adarrayout[i] == *iptr) {
        iarray_start      = dd->adstartout[i];
        dd->adarrayout[i] = PETSC_NULL;
        dd->adstartout[i] = PETSC_NULL;
        break;
      }
    }
    if (!iarray_start) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Could not find array in checkout list");
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (!dd->adarrayin[i]){
        dd->adarrayin[i]   = *iptr;
        dd->adstartin[i]   = iarray_start;
        break;
      }
    }
  }
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "ad_DAGetArray"
PetscErrorCode  ad_DAGetArray(DM da,PetscBool  ghosted,void *iptr)
{
  PetscErrorCode ierr;
  PetscFunctionBegin;
  ierr = DMDAGetAdicArray(da,ghosted,iptr,0,0);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "ad_DARestoreArray"
PetscErrorCode  ad_DARestoreArray(DM da,PetscBool  ghosted,void *iptr)
{
  PetscErrorCode ierr;
  PetscFunctionBegin;
  ierr = DMDARestoreAdicArray(da,ghosted,iptr,0,0);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#endif

#undef __FUNCT__
#define __FUNCT__ "DMDAGetArray"
/*@C
     DMDAGetArray - Gets a work array for a DMDA

    Input Parameter:
+    da - information about my local patch
-    ghosted - do you want arrays for the ghosted or nonghosted patch

    Output Parameters:
.    vptr - array data structured

    Note:  The vector values are NOT initialized and may have garbage in them, so you may need
           to zero them.

  Level: advanced

.seealso: DMDARestoreArray(), DMDAGetAdicArray()

@*/
PetscErrorCode  DMDAGetArray(DM da,PetscBool  ghosted,void *vptr)
{
  PetscErrorCode ierr;
  PetscInt       j,i,xs,ys,xm,ym,zs,zm;
  char           *iarray_start;
  void           **iptr = (void**)vptr;
  DM_DA          *dd = (DM_DA*)da->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(da,DM_CLASSID,1);
  if (ghosted) {
    for (i=0; i<DMDA_MAX_WORK_ARRAYS; i++) {
      if (dd->arrayghostedin[i]) {
        *iptr                 = dd->arrayghostedin[i];
        iarray_start          = (char*)dd->startghostedin[i];
        dd->arrayghostedin[i] = PETSC_NULL;
        dd->startghostedin[i] = PETSC_NULL;

        goto done;
      }
    }
    xs = dd->Xs;
    ys = dd->Ys;
    zs = dd->Zs;
    xm = dd->Xe-dd->Xs;
    ym = dd->Ye-dd->Ys;
    zm = dd->Ze-dd->Zs;
  } else {
    for (i=0; i<DMDA_MAX_WORK_ARRAYS; i++) {
      if (dd->arrayin[i]) {
        *iptr          = dd->arrayin[i];
        iarray_start   = (char*)dd->startin[i];
        dd->arrayin[i] = PETSC_NULL;
        dd->startin[i] = PETSC_NULL;

        goto done;
      }
    }
    xs = dd->xs;
    ys = dd->ys;
    zs = dd->zs;
    xm = dd->xe-dd->xs;
    ym = dd->ye-dd->ys;
    zm = dd->ze-dd->zs;
  }

  switch (dd->dim) {
    case 1: {
      void *ptr;

      ierr  = PetscMalloc(xm*sizeof(PetscScalar),&iarray_start);CHKERRQ(ierr);

      ptr   = (void*)(iarray_start - xs*sizeof(PetscScalar));
      *iptr = (void*)ptr;
      break;}
    case 2: {
      void **ptr;

      ierr  = PetscMalloc((ym+1)*sizeof(void*)+xm*ym*sizeof(PetscScalar),&iarray_start);CHKERRQ(ierr);

      ptr  = (void**)(iarray_start + xm*ym*sizeof(PetscScalar) - ys*sizeof(void*));
      for(j=ys;j<ys+ym;j++) {
        ptr[j] = iarray_start + sizeof(PetscScalar)*(xm*(j-ys) - xs);
      }
      *iptr = (void*)ptr;
      break;}
    case 3: {
      void ***ptr,**bptr;

      ierr  = PetscMalloc((zm+1)*sizeof(void **)+(ym*zm+1)*sizeof(void*)+xm*ym*zm*sizeof(PetscScalar),&iarray_start);CHKERRQ(ierr);

      ptr  = (void***)(iarray_start + xm*ym*zm*sizeof(PetscScalar) - zs*sizeof(void*));
      bptr = (void**)(iarray_start + xm*ym*zm*sizeof(PetscScalar) + zm*sizeof(void**));
      for(i=zs;i<zs+zm;i++) {
        ptr[i] = bptr + ((i-zs)*ym - ys);
      }
      for (i=zs; i<zs+zm; i++) {
        for (j=ys; j<ys+ym; j++) {
          ptr[i][j] = iarray_start + sizeof(PetscScalar)*(xm*ym*(i-zs) + xm*(j-ys) - xs);
        }
      }

      *iptr = (void*)ptr;
      break;}
    default:
      SETERRQ1(((PetscObject)da)->comm,PETSC_ERR_SUP,"Dimension %D not supported",dd->dim);
  }

  done:
  /* add arrays to the checked out list */
  if (ghosted) {
    for (i=0; i<DMDA_MAX_WORK_ARRAYS; i++) {
      if (!dd->arrayghostedout[i]) {
        dd->arrayghostedout[i] = *iptr ;
        dd->startghostedout[i] = iarray_start;
        break;
      }
    }
  } else {
    for (i=0; i<DMDA_MAX_WORK_ARRAYS; i++) {
      if (!dd->arrayout[i]) {
        dd->arrayout[i] = *iptr ;
        dd->startout[i] = iarray_start;
        break;
      }
    }
  }
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMDARestoreArray"
/*@C
     DMDARestoreArray - Restores an array of derivative types for a DMDA

    Input Parameter:
+    da - information about my local patch
.    ghosted - do you want arrays for the ghosted or nonghosted patch
-    vptr - array data structured to be passed to ad_FormFunctionLocal()

     Level: advanced

.seealso: DMDAGetArray(), DMDAGetAdicArray()

@*/
PetscErrorCode  DMDARestoreArray(DM da,PetscBool  ghosted,void *vptr)
{
  PetscInt  i;
  void      **iptr = (void**)vptr,*iarray_start = 0;
  DM_DA     *dd = (DM_DA*)da->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(da,DM_CLASSID,1);
  if (ghosted) {
    for (i=0; i<DMDA_MAX_WORK_ARRAYS; i++) {
      if (dd->arrayghostedout[i] == *iptr) {
        iarray_start           = dd->startghostedout[i];
        dd->arrayghostedout[i] = PETSC_NULL;
        dd->startghostedout[i] = PETSC_NULL;
        break;
      }
    }
    for (i=0; i<DMDA_MAX_WORK_ARRAYS; i++) {
      if (!dd->arrayghostedin[i]){
        dd->arrayghostedin[i] = *iptr;
        dd->startghostedin[i] = iarray_start;
        break;
      }
    }
  } else {
    for (i=0; i<DMDA_MAX_WORK_ARRAYS; i++) {
      if (dd->arrayout[i] == *iptr) {
        iarray_start    = dd->startout[i];
        dd->arrayout[i] = PETSC_NULL;
        dd->startout[i] = PETSC_NULL;
        break;
      }
    }
    for (i=0; i<DMDA_MAX_WORK_ARRAYS; i++) {
      if (!dd->arrayin[i]){
        dd->arrayin[i]  = *iptr;
        dd->startin[i]  = iarray_start;
        break;
      }
    }
  }
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMDAGetAdicMFArray"
/*@C
     DMDAGetAdicMFArray - Gets an array of derivative types for a DMDA for matrix-free ADIC.

     Input Parameter:
+    da - information about my local patch
-    ghosted - do you want arrays for the ghosted or nonghosted patch?

     Output Parameters:
+    vptr - array data structured to be passed to ad_FormFunctionLocal()
.    array_start - actual start of 1d array of all values that adiC can access directly (may be null)
-    tdof - total number of degrees of freedom represented in array_start (may be null)

     Notes:
     The vector values are NOT initialized and may have garbage in them, so you may need
     to zero them.

     This routine returns the same type of object as the DMDAVecGetArray(), except its
     elements are derivative types instead of PetscScalars.

     Level: advanced

.seealso: DMDARestoreAdicMFArray(), DMDAGetArray(), DMDAGetAdicArray()

@*/
PetscErrorCode  DMDAGetAdicMFArray(DM da,PetscBool  ghosted,void *vptr,void *array_start,PetscInt *tdof)
{
  PetscErrorCode ierr;
  PetscInt       j,i,xs,ys,xm,ym,zs,zm,itdof = 0;
  char           *iarray_start;
  void           **iptr = (void**)vptr;
  DM_DA          *dd = (DM_DA*)da->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(da,DM_CLASSID,1);
  if (ghosted) {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (dd->admfarrayghostedin[i]) {
        *iptr                     = dd->admfarrayghostedin[i];
        iarray_start              = (char*)dd->admfstartghostedin[i];
        itdof                     = dd->ghostedtdof;
        dd->admfarrayghostedin[i] = PETSC_NULL;
        dd->admfstartghostedin[i] = PETSC_NULL;

        goto done;
      }
    }
    xs = dd->Xs;
    ys = dd->Ys;
    zs = dd->Zs;
    xm = dd->Xe-dd->Xs;
    ym = dd->Ye-dd->Ys;
    zm = dd->Ze-dd->Zs;
  } else {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (dd->admfarrayin[i]) {
        *iptr              = dd->admfarrayin[i];
        iarray_start       = (char*)dd->admfstartin[i];
        itdof              = dd->tdof;
        dd->admfarrayin[i] = PETSC_NULL;
        dd->admfstartin[i] = PETSC_NULL;

        goto done;
      }
    }
    xs = dd->xs;
    ys = dd->ys;
    zs = dd->zs;
    xm = dd->xe-dd->xs;
    ym = dd->ye-dd->ys;
    zm = dd->ze-dd->zs;
  }

  switch (dd->dim) {
    case 1: {
      void *ptr;
      itdof = xm;

      ierr  = PetscMalloc(xm*2*sizeof(PetscScalar),&iarray_start);CHKERRQ(ierr);

      ptr   = (void*)(iarray_start - xs*2*sizeof(PetscScalar));
      *iptr = (void*)ptr;
      break;}
    case 2: {
      void **ptr;
      itdof = xm*ym;

      ierr  = PetscMalloc((ym+1)*sizeof(void*)+xm*ym*2*sizeof(PetscScalar),&iarray_start);CHKERRQ(ierr);

      ptr  = (void**)(iarray_start + xm*ym*2*sizeof(PetscScalar) - ys*sizeof(void*));
      for(j=ys;j<ys+ym;j++) {
        ptr[j] = iarray_start + 2*sizeof(PetscScalar)*(xm*(j-ys) - xs);
      }
      *iptr = (void*)ptr;
      break;}
    case 3: {
      void ***ptr,**bptr;
      itdof = xm*ym*zm;

      ierr  = PetscMalloc((zm+1)*sizeof(void **)+(ym*zm+1)*sizeof(void*)+xm*ym*zm*2*sizeof(PetscScalar),&iarray_start);CHKERRQ(ierr);

      ptr  = (void***)(iarray_start + xm*ym*zm*2*sizeof(PetscScalar) - zs*sizeof(void*));
      bptr = (void**)(iarray_start + xm*ym*zm*2*sizeof(PetscScalar) + zm*sizeof(void**));
      for(i=zs;i<zs+zm;i++) {
        ptr[i] = bptr + ((i-zs)*ym* - ys)*sizeof(void*);
      }
      for (i=zs; i<zs+zm; i++) {
        for (j=ys; j<ys+ym; j++) {
          ptr[i][j] = iarray_start + 2*sizeof(PetscScalar)*(xm*ym*(i-zs) + xm*(j-ys) - xs);
        }
      }

      *iptr = (void*)ptr;
      break;}
    default:
      SETERRQ1(((PetscObject)da)->comm,PETSC_ERR_SUP,"Dimension %D not supported",dd->dim);
  }

  done:
  /* add arrays to the checked out list */
  if (ghosted) {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (!dd->admfarrayghostedout[i]) {
        dd->admfarrayghostedout[i] = *iptr ;
        dd->admfstartghostedout[i] = iarray_start;
        dd->ghostedtdof            = itdof;
        break;
      }
    }
  } else {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (!dd->admfarrayout[i]) {
        dd->admfarrayout[i] = *iptr ;
        dd->admfstartout[i] = iarray_start;
        dd->tdof            = itdof;
        break;
      }
    }
  }
  if (i == DMDA_MAX_AD_ARRAYS+1) SETERRQ(((PetscObject)da)->comm,PETSC_ERR_ARG_WRONG,"Too many DMDA ADIC arrays obtained");
  if (tdof)        *tdof = itdof;
  if (array_start) *(void**)array_start = iarray_start;
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMDAGetAdicMFArray4"
PetscErrorCode  DMDAGetAdicMFArray4(DM da,PetscBool  ghosted,void *vptr,void *array_start,PetscInt *tdof)
{
  PetscErrorCode ierr;
  PetscInt       j,i,xs,ys,xm,ym,zs,zm,itdof = 0;
  char           *iarray_start;
  void           **iptr = (void**)vptr;
  DM_DA          *dd = (DM_DA*)da->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(da,DM_CLASSID,1);
  if (ghosted) {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (dd->admfarrayghostedin[i]) {
        *iptr                     = dd->admfarrayghostedin[i];
        iarray_start              = (char*)dd->admfstartghostedin[i];
        itdof                     = dd->ghostedtdof;
        dd->admfarrayghostedin[i] = PETSC_NULL;
        dd->admfstartghostedin[i] = PETSC_NULL;

        goto done;
      }
    }
    xs = dd->Xs;
    ys = dd->Ys;
    zs = dd->Zs;
    xm = dd->Xe-dd->Xs;
    ym = dd->Ye-dd->Ys;
    zm = dd->Ze-dd->Zs;
  } else {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (dd->admfarrayin[i]) {
        *iptr              = dd->admfarrayin[i];
        iarray_start       = (char*)dd->admfstartin[i];
        itdof              = dd->tdof;
        dd->admfarrayin[i] = PETSC_NULL;
        dd->admfstartin[i] = PETSC_NULL;

        goto done;
      }
    }
    xs = dd->xs;
    ys = dd->ys;
    zs = dd->zs;
    xm = dd->xe-dd->xs;
    ym = dd->ye-dd->ys;
    zm = dd->ze-dd->zs;
  }

  switch (dd->dim) {
    case 2: {
      void **ptr;
      itdof = xm*ym;

      ierr  = PetscMalloc((ym+1)*sizeof(void*)+xm*ym*5*sizeof(PetscScalar),&iarray_start);CHKERRQ(ierr);

      ptr  = (void**)(iarray_start + xm*ym*5*sizeof(PetscScalar) - ys*sizeof(void*));
      for(j=ys;j<ys+ym;j++) {
        ptr[j] = iarray_start + 5*sizeof(PetscScalar)*(xm*(j-ys) - xs);
      }
      *iptr = (void*)ptr;
      break;}
    default:
      SETERRQ1(((PetscObject)da)->comm,PETSC_ERR_SUP,"Dimension %D not supported",dd->dim);
  }

  done:
  /* add arrays to the checked out list */
  if (ghosted) {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (!dd->admfarrayghostedout[i]) {
        dd->admfarrayghostedout[i] = *iptr ;
        dd->admfstartghostedout[i] = iarray_start;
        dd->ghostedtdof            = itdof;
        break;
      }
    }
  } else {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (!dd->admfarrayout[i]) {
        dd->admfarrayout[i] = *iptr ;
        dd->admfstartout[i] = iarray_start;
        dd->tdof            = itdof;
        break;
      }
    }
  }
  if (i == DMDA_MAX_AD_ARRAYS+1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Too many DMDA ADIC arrays obtained");
  if (tdof)        *tdof = itdof;
  if (array_start) *(void**)array_start = iarray_start;
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMDAGetAdicMFArray9"
PetscErrorCode  DMDAGetAdicMFArray9(DM da,PetscBool  ghosted,void *vptr,void *array_start,PetscInt *tdof)
{
  PetscErrorCode ierr;
  PetscInt       j,i,xs,ys,xm,ym,zs,zm,itdof = 0;
  char           *iarray_start;
  void           **iptr = (void**)vptr;
  DM_DA          *dd = (DM_DA*)da->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(da,DM_CLASSID,1);
  if (ghosted) {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (dd->admfarrayghostedin[i]) {
        *iptr                     = dd->admfarrayghostedin[i];
        iarray_start              = (char*)dd->admfstartghostedin[i];
        itdof                     = dd->ghostedtdof;
        dd->admfarrayghostedin[i] = PETSC_NULL;
        dd->admfstartghostedin[i] = PETSC_NULL;

        goto done;
      }
    }
    xs = dd->Xs;
    ys = dd->Ys;
    zs = dd->Zs;
    xm = dd->Xe-dd->Xs;
    ym = dd->Ye-dd->Ys;
    zm = dd->Ze-dd->Zs;
  } else {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (dd->admfarrayin[i]) {
        *iptr              = dd->admfarrayin[i];
        iarray_start       = (char*)dd->admfstartin[i];
        itdof              = dd->tdof;
        dd->admfarrayin[i] = PETSC_NULL;
        dd->admfstartin[i] = PETSC_NULL;

        goto done;
      }
    }
    xs = dd->xs;
    ys = dd->ys;
    zs = dd->zs;
    xm = dd->xe-dd->xs;
    ym = dd->ye-dd->ys;
    zm = dd->ze-dd->zs;
  }

  switch (dd->dim) {
    case 2: {
      void **ptr;
      itdof = xm*ym;

      ierr  = PetscMalloc((ym+1)*sizeof(void*)+xm*ym*10*sizeof(PetscScalar),&iarray_start);CHKERRQ(ierr);

      ptr  = (void**)(iarray_start + xm*ym*10*sizeof(PetscScalar) - ys*sizeof(void*));
      for(j=ys;j<ys+ym;j++) {
        ptr[j] = iarray_start + 10*sizeof(PetscScalar)*(xm*(j-ys) - xs);
      }
      *iptr = (void*)ptr;
      break;}
    default:
      SETERRQ1(((PetscObject)da)->comm,PETSC_ERR_SUP,"Dimension %D not supported",dd->dim);
  }

  done:
  /* add arrays to the checked out list */
  if (ghosted) {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (!dd->admfarrayghostedout[i]) {
        dd->admfarrayghostedout[i] = *iptr ;
        dd->admfstartghostedout[i] = iarray_start;
        dd->ghostedtdof            = itdof;
        break;
      }
    }
  } else {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (!dd->admfarrayout[i]) {
        dd->admfarrayout[i] = *iptr ;
        dd->admfstartout[i] = iarray_start;
        dd->tdof            = itdof;
        break;
      }
    }
  }
  if (i == DMDA_MAX_AD_ARRAYS+1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Too many DMDA ADIC arrays obtained");
  if (tdof)        *tdof = itdof;
  if (array_start) *(void**)array_start = iarray_start;
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMDAGetAdicMFArrayb"
/*@C
     DMDAGetAdicMFArrayb - Gets an array of derivative types for a DMDA for matrix-free ADIC.

     Input Parameter:
+    da - information about my local patch
-    ghosted - do you want arrays for the ghosted or nonghosted patch?

     Output Parameters:
+    vptr - array data structured to be passed to ad_FormFunctionLocal()
.    array_start - actual start of 1d array of all values that adiC can access directly (may be null)
-    tdof - total number of degrees of freedom represented in array_start (may be null)

     Notes:
     The vector values are NOT initialized and may have garbage in them, so you may need
     to zero them.

     This routine returns the same type of object as the DMDAVecGetArray(), except its
     elements are derivative types instead of PetscScalars.

     Level: advanced

.seealso: DMDARestoreAdicMFArray(), DMDAGetArray(), DMDAGetAdicArray()

@*/
PetscErrorCode  DMDAGetAdicMFArrayb(DM da,PetscBool  ghosted,void *vptr,void *array_start,PetscInt *tdof)
{
  PetscErrorCode ierr;
  PetscInt       j,i,xs,ys,xm,ym,zs,zm,itdof = 0;
  char           *iarray_start;
  void           **iptr = (void**)vptr;
  DM_DA          *dd = (DM_DA*)da->data;
  PetscInt       bs = dd->w,bs1 = bs+1;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(da,DM_CLASSID,1);
  if (ghosted) {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (dd->admfarrayghostedin[i]) {
        *iptr                     = dd->admfarrayghostedin[i];
        iarray_start              = (char*)dd->admfstartghostedin[i];
        itdof                     = dd->ghostedtdof;
        dd->admfarrayghostedin[i] = PETSC_NULL;
        dd->admfstartghostedin[i] = PETSC_NULL;

        goto done;
      }
    }
    xs = dd->Xs;
    ys = dd->Ys;
    zs = dd->Zs;
    xm = dd->Xe-dd->Xs;
    ym = dd->Ye-dd->Ys;
    zm = dd->Ze-dd->Zs;
  } else {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (dd->admfarrayin[i]) {
        *iptr              = dd->admfarrayin[i];
        iarray_start       = (char*)dd->admfstartin[i];
        itdof              = dd->tdof;
        dd->admfarrayin[i] = PETSC_NULL;
        dd->admfstartin[i] = PETSC_NULL;

        goto done;
      }
    }
    xs = dd->xs;
    ys = dd->ys;
    zs = dd->zs;
    xm = dd->xe-dd->xs;
    ym = dd->ye-dd->ys;
    zm = dd->ze-dd->zs;
  }

  switch (dd->dim) {
    case 1: {
      void *ptr;
      itdof = xm;

      ierr  = PetscMalloc(xm*bs1*sizeof(PetscScalar),&iarray_start);CHKERRQ(ierr);

      ptr   = (void*)(iarray_start - xs*bs1*sizeof(PetscScalar));
      *iptr = (void*)ptr;
      break;}
    case 2: {
      void **ptr;
      itdof = xm*ym;

      ierr  = PetscMalloc((ym+1)*sizeof(void*)+xm*ym*bs1*sizeof(PetscScalar),&iarray_start);CHKERRQ(ierr);

      ptr  = (void**)(iarray_start + xm*ym*bs1*sizeof(PetscScalar) - ys*sizeof(void*));
      for(j=ys;j<ys+ym;j++) {
        ptr[j] = iarray_start + bs1*sizeof(PetscScalar)*(xm*(j-ys) - xs);
      }
      *iptr = (void*)ptr;
      break;}
    case 3: {
      void ***ptr,**bptr;
      itdof = xm*ym*zm;

      ierr  = PetscMalloc((zm+1)*sizeof(void **)+(ym*zm+1)*sizeof(void*)+xm*ym*zm*bs1*sizeof(PetscScalar),&iarray_start);CHKERRQ(ierr);

      ptr  = (void***)(iarray_start + xm*ym*zm*2*sizeof(PetscScalar) - zs*sizeof(void*));
      bptr = (void**)(iarray_start + xm*ym*zm*2*sizeof(PetscScalar) + zm*sizeof(void**));
      for(i=zs;i<zs+zm;i++) {
        ptr[i] = bptr + ((i-zs)*ym* - ys)*sizeof(void*);
      }
      for (i=zs; i<zs+zm; i++) {
        for (j=ys; j<ys+ym; j++) {
          ptr[i][j] = iarray_start + bs1*sizeof(PetscScalar)*(xm*ym*(i-zs) + xm*(j-ys) - xs);
        }
      }

      *iptr = (void*)ptr;
      break;}
    default:
      SETERRQ1(((PetscObject)da)->comm,PETSC_ERR_SUP,"Dimension %D not supported",dd->dim);
  }

  done:
  /* add arrays to the checked out list */
  if (ghosted) {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (!dd->admfarrayghostedout[i]) {
        dd->admfarrayghostedout[i] = *iptr ;
        dd->admfstartghostedout[i] = iarray_start;
        dd->ghostedtdof            = itdof;
        break;
      }
    }
  } else {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (!dd->admfarrayout[i]) {
        dd->admfarrayout[i] = *iptr ;
        dd->admfstartout[i] = iarray_start;
        dd->tdof            = itdof;
        break;
      }
    }
  }
  if (i == DMDA_MAX_AD_ARRAYS+1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Too many DMDA ADIC arrays obtained");
  if (tdof)        *tdof = itdof;
  if (array_start) *(void**)array_start = iarray_start;
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMDARestoreAdicMFArray"
/*@C
     DMDARestoreAdicMFArray - Restores an array of derivative types for a DMDA.

     Input Parameter:
+    da - information about my local patch
-    ghosted - do you want arrays for the ghosted or nonghosted patch?

     Output Parameters:
+    ptr - array data structure to be passed to ad_FormFunctionLocal()
.    array_start - actual start of 1d array of all values that adiC can access directly
-    tdof - total number of degrees of freedom represented in array_start

     Level: advanced

.seealso: DMDAGetAdicArray()

@*/
PetscErrorCode  DMDARestoreAdicMFArray(DM da,PetscBool  ghosted,void *vptr,void *array_start,PetscInt *tdof)
{
  PetscInt  i;
  void      **iptr = (void**)vptr,*iarray_start = 0;
  DM_DA     *dd = (DM_DA*)da->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(da,DM_CLASSID,1);
  if (ghosted) {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (dd->admfarrayghostedout[i] == *iptr) {
        iarray_start               = dd->admfstartghostedout[i];
        dd->admfarrayghostedout[i] = PETSC_NULL;
        dd->admfstartghostedout[i] = PETSC_NULL;
        break;
      }
    }
    if (!iarray_start) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Could not find array in checkout list");
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (!dd->admfarrayghostedin[i]){
        dd->admfarrayghostedin[i] = *iptr;
        dd->admfstartghostedin[i] = iarray_start;
        break;
      }
    }
  } else {
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (dd->admfarrayout[i] == *iptr) {
        iarray_start        = dd->admfstartout[i];
        dd->admfarrayout[i] = PETSC_NULL;
        dd->admfstartout[i] = PETSC_NULL;
        break;
      }
    }
    if (!iarray_start) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Could not find array in checkout list");
    for (i=0; i<DMDA_MAX_AD_ARRAYS; i++) {
      if (!dd->admfarrayin[i]){
        dd->admfarrayin[i] = *iptr;
        dd->admfstartin[i] = iarray_start;
        break;
      }
    }
  }
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "admf_DAGetArray"
PetscErrorCode  admf_DAGetArray(DM da,PetscBool  ghosted,void *iptr)
{
  PetscErrorCode ierr;
  PetscFunctionBegin;
  ierr = DMDAGetAdicMFArray(da,ghosted,iptr,0,0);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "admf_DARestoreArray"
PetscErrorCode  admf_DARestoreArray(DM da,PetscBool  ghosted,void *iptr)
{
  PetscErrorCode ierr;
  PetscFunctionBegin;
  ierr = DMDARestoreAdicMFArray(da,ghosted,iptr,0,0);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}