impls/shell/dmshell.c

#include <petscdmshell.h> /*I    "petscdmshell.h"  I*/
#include <petscmat.h>
#include <petsc/private/dmimpl.h>

typedef struct {
  Vec                Xglobal;
  Vec                Xlocal;
  Mat                A;
  VecScatter         gtol;
  VecScatter         ltog;
  VecScatter         ltol;
  void              *ctx;
  PetscCtxDestroyFn *destroyctx;
} DM_Shell;

/*@
  DMGlobalToLocalBeginDefaultShell - Uses the GlobalToLocal `VecScatter` context set by the user to begin a global to local scatter

  Collective

  Input Parameters:
+ dm   - `DMSHELL`
. g    - global vector
. mode - `InsertMode`
- l    - local vector

  Level: advanced

  Note:
  This is not normally called directly by user code, generally user code calls `DMGlobalToLocalBegin()` and `DMGlobalToLocalEnd()`. If the user provides their own custom routines to `DMShellSetLocalToGlobal()` then those routines might have reason to call this function.

.seealso: `DM`, `DMSHELL`, `DMGlobalToLocalEndDefaultShell()`
@*/
PetscErrorCode DMGlobalToLocalBeginDefaultShell(DM dm, Vec g, InsertMode mode, Vec l)
{
  DM_Shell *shell = (DM_Shell *)dm->data;

  PetscFunctionBegin;
  PetscCheck(shell->gtol, ((PetscObject)dm)->comm, PETSC_ERR_ARG_WRONGSTATE, "Cannot be used without first setting the scatter context via DMShellSetGlobalToLocalVecScatter()");
  PetscCall(VecScatterBegin(shell->gtol, g, l, mode, SCATTER_FORWARD));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMGlobalToLocalEndDefaultShell - Uses the GlobalToLocal `VecScatter` context set by the user to end a global to local scatter
  Collective

  Input Parameters:
+ dm   - `DMSHELL`
. g    - global vector
. mode - `InsertMode`
- l    - local vector

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMGlobalToLocalBeginDefaultShell()`
@*/
PetscErrorCode DMGlobalToLocalEndDefaultShell(DM dm, Vec g, InsertMode mode, Vec l)
{
  DM_Shell *shell = (DM_Shell *)dm->data;

  PetscFunctionBegin;
  PetscCheck(shell->gtol, ((PetscObject)dm)->comm, PETSC_ERR_ARG_WRONGSTATE, "Cannot be used without first setting the scatter context via DMShellSetGlobalToLocalVecScatter()");
  PetscCall(VecScatterEnd(shell->gtol, g, l, mode, SCATTER_FORWARD));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMLocalToGlobalBeginDefaultShell - Uses the LocalToGlobal `VecScatter` context set by the user to begin a local to global scatter
  Collective

  Input Parameters:
+ dm   - `DMSHELL`
. l    - local vector
. mode - `InsertMode`
- g    - global vector

  Level: advanced

  Note:
  This is not normally called directly by user code, generally user code calls `DMLocalToGlobalBegin()` and `DMLocalToGlobalEnd()`. If the user provides their own custom routines to `DMShellSetLocalToGlobal()` then those routines might have reason to call this function.

.seealso: `DM`, `DMSHELL`, `DMLocalToGlobalEndDefaultShell()`
@*/
PetscErrorCode DMLocalToGlobalBeginDefaultShell(DM dm, Vec l, InsertMode mode, Vec g)
{
  DM_Shell *shell = (DM_Shell *)dm->data;

  PetscFunctionBegin;
  PetscCheck(shell->ltog, ((PetscObject)dm)->comm, PETSC_ERR_ARG_WRONGSTATE, "Cannot be used without first setting the scatter context via DMShellSetLocalToGlobalVecScatter()");
  PetscCall(VecScatterBegin(shell->ltog, l, g, mode, SCATTER_FORWARD));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMLocalToGlobalEndDefaultShell - Uses the LocalToGlobal `VecScatter` context set by the user to end a local to global scatter
  Collective

  Input Parameters:
+ dm   - `DMSHELL`
. l    - local vector
. mode - `InsertMode`
- g    - global vector

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMLocalToGlobalBeginDefaultShell()`
@*/
PetscErrorCode DMLocalToGlobalEndDefaultShell(DM dm, Vec l, InsertMode mode, Vec g)
{
  DM_Shell *shell = (DM_Shell *)dm->data;

  PetscFunctionBegin;
  PetscCheck(shell->ltog, ((PetscObject)dm)->comm, PETSC_ERR_ARG_WRONGSTATE, "Cannot be used without first setting the scatter context via DMShellSetLocalToGlobalVecScatter()");
  PetscCall(VecScatterEnd(shell->ltog, l, g, mode, SCATTER_FORWARD));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMLocalToLocalBeginDefaultShell - Uses the LocalToLocal `VecScatter` context set by the user to begin a local to local scatter
  Collective

  Input Parameters:
+ dm   - `DMSHELL`
. g    - the original local vector
- mode - `InsertMode`

  Output Parameter:
. l - the local vector with correct ghost values

  Level: advanced

  Note:
  This is not normally called directly by user code, generally user code calls `DMLocalToLocalBegin()` and `DMLocalToLocalEnd()`. If the user provides their own custom routines to `DMShellSetLocalToLocal()` then those routines might have reason to call this function.

.seealso: `DM`, `DMSHELL`, `DMLocalToLocalEndDefaultShell()`
@*/
PetscErrorCode DMLocalToLocalBeginDefaultShell(DM dm, Vec g, InsertMode mode, Vec l)
{
  DM_Shell *shell = (DM_Shell *)dm->data;

  PetscFunctionBegin;
  PetscCheck(shell->ltol, ((PetscObject)dm)->comm, PETSC_ERR_ARG_WRONGSTATE, "Cannot be used without first setting the scatter context via DMShellSetLocalToLocalVecScatter()");
  PetscCall(VecScatterBegin(shell->ltol, g, l, mode, SCATTER_FORWARD));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMLocalToLocalEndDefaultShell - Uses the LocalToLocal `VecScatter` context set by the user to end a local to local scatter
  Collective

  Input Parameters:
+ dm   - `DMSHELL`
. g    - the original local vector
- mode - `InsertMode`

  Output Parameter:
. l - the local vector with correct ghost values

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMLocalToLocalBeginDefaultShell()`
@*/
PetscErrorCode DMLocalToLocalEndDefaultShell(DM dm, Vec g, InsertMode mode, Vec l)
{
  DM_Shell *shell = (DM_Shell *)dm->data;

  PetscFunctionBegin;
  PetscCheck(shell->ltol, ((PetscObject)dm)->comm, PETSC_ERR_ARG_WRONGSTATE, "Cannot be used without first setting the scatter context via DMShellSetGlobalToLocalVecScatter()");
  PetscCall(VecScatterEnd(shell->ltol, g, l, mode, SCATTER_FORWARD));
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode DMCreateMatrix_Shell(DM dm, Mat *J)
{
  DM_Shell *shell = (DM_Shell *)dm->data;
  Mat       A;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscAssertPointer(J, 2);
  if (!shell->A) {
    PetscInt m, M;

    PetscCheck(shell->Xglobal, PetscObjectComm((PetscObject)dm), PETSC_ERR_USER, "Must call DMShellSetMatrix(), DMShellSetCreateMatrix(), or provide a vector");
    PetscCall(PetscInfo(dm, "Naively creating matrix using global vector distribution without preallocation\n"));
    PetscCall(VecGetSize(shell->Xglobal, &M));
    PetscCall(VecGetLocalSize(shell->Xglobal, &m));
    PetscCall(MatCreate(PetscObjectComm((PetscObject)dm), &shell->A));
    PetscCall(MatSetSizes(shell->A, m, m, M, M));
    PetscCall(MatSetType(shell->A, dm->mattype));
    PetscCall(MatSetUp(shell->A));
  }
  A = shell->A;
  PetscCall(MatDuplicate(A, MAT_SHARE_NONZERO_PATTERN, J));
  PetscCall(MatSetDM(*J, dm));
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode DMCreateGlobalVector_Shell(DM dm, Vec *gvec)
{
  DM_Shell *shell = (DM_Shell *)dm->data;
  Vec       X;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscAssertPointer(gvec, 2);
  *gvec = NULL;
  X     = shell->Xglobal;
  PetscCheck(X, PetscObjectComm((PetscObject)dm), PETSC_ERR_USER, "Must call DMShellSetGlobalVector() or DMShellSetCreateGlobalVector()");
  /* Need to create a copy in order to attach the DM to the vector */
  PetscCall(VecDuplicate(X, gvec));
  PetscCall(VecZeroEntries(*gvec));
  PetscCall(VecSetDM(*gvec, dm));
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode DMCreateLocalVector_Shell(DM dm, Vec *gvec)
{
  DM_Shell *shell = (DM_Shell *)dm->data;
  Vec       X;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscAssertPointer(gvec, 2);
  *gvec = NULL;
  X     = shell->Xlocal;
  PetscCheck(X, PetscObjectComm((PetscObject)dm), PETSC_ERR_USER, "Must call DMShellSetLocalVector() or DMShellSetCreateLocalVector()");
  /* Need to create a copy in order to attach the DM to the vector */
  PetscCall(VecDuplicate(X, gvec));
  PetscCall(VecZeroEntries(*gvec));
  PetscCall(VecSetDM(*gvec, dm));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetDestroyContext - set a function that destroys the context provided with `DMShellSetContext()`

  Collective

  Input Parameters:
+ dm         - the `DM` to attach the `destroyctx()` function to
- destroyctx - the function that destroys the context

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetDestroyContext(DM dm, PetscCtxDestroyFn *destroyctx)
{
  DM_Shell *shell = (DM_Shell *)dm->data;
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  shell->destroyctx = destroyctx;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMShellSetContext - set some data to be usable by this `DMSHELL`

  Collective

  Input Parameters:
+ dm  - `DMSHELL`
- ctx - the context

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMCreateMatrix()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetContext(DM dm, void *ctx)
{
  DM_Shell *shell = (DM_Shell *)dm->data;
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  shell->ctx = ctx;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMShellGetContext - Returns the user-provided context associated to the `DMSHELL`

  Collective

  Input Parameter:
. dm - `DMSHELL`

  Output Parameter:
. ctx - the context

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMCreateMatrix()`, `DMShellSetContext()`
@*/
PetscErrorCode DMShellGetContext(DM dm, void *ctx)
{
  DM_Shell *shell = (DM_Shell *)dm->data;
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  PetscCheck(isshell, PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Can only use with DMSHELL type DMs");
  *(void **)ctx = shell->ctx;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMShellSetMatrix - sets a template matrix associated with the `DMSHELL`

  Collective

  Input Parameters:
+ dm - `DMSHELL`
- J  - template matrix

  Level: advanced

  Developer Notes:
  To avoid circular references, if `J` is already associated to the same `DM`, then `MatDuplicate`(`SHARE_NONZERO_PATTERN`) is called, followed by removing the `DM` reference from the private template.

.seealso: `DM`, `DMSHELL`, `DMCreateMatrix()`, `DMShellSetCreateMatrix()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetMatrix(DM dm, Mat J)
{
  DM_Shell *shell = (DM_Shell *)dm->data;
  PetscBool isshell;
  DM        mdm;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscValidHeaderSpecific(J, MAT_CLASSID, 2);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  if (J == shell->A) PetscFunctionReturn(PETSC_SUCCESS);
  PetscCall(MatGetDM(J, &mdm));
  PetscCall(PetscObjectReference((PetscObject)J));
  PetscCall(MatDestroy(&shell->A));
  if (mdm == dm) {
    PetscCall(MatDuplicate(J, MAT_SHARE_NONZERO_PATTERN, &shell->A));
    PetscCall(MatSetDM(shell->A, NULL));
  } else shell->A = J;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetCreateMatrix - sets the routine to create a matrix associated with the `DMSHELL`

  Logically Collective

  Input Parameters:
+ dm   - the `DMSHELL`
- func - the function to create a matrix

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMCreateMatrix()`, `DMShellSetMatrix()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetCreateMatrix(DM dm, PetscErrorCode (*func)(DM, Mat *))
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  dm->ops->creatematrix = func;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMShellSetGlobalVector - sets a template global vector associated with the `DMSHELL`

  Logically Collective

  Input Parameters:
+ dm - `DMSHELL`
- X  - template vector

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMCreateGlobalVector()`, `DMShellSetMatrix()`, `DMShellSetCreateGlobalVector()`
@*/
PetscErrorCode DMShellSetGlobalVector(DM dm, Vec X)
{
  DM_Shell *shell = (DM_Shell *)dm->data;
  PetscBool isshell;
  DM        vdm;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscValidHeaderSpecific(X, VEC_CLASSID, 2);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  PetscCall(VecGetDM(X, &vdm));
  /*
      if the vector proposed as the new base global vector for the DM is a DM vector associated
      with the same DM then the current base global vector for the DM is ok and if we replace it with the new one
      we get a circular dependency that prevents the DM from being destroy when it should be.
      This occurs when SNESSet/GetNPC() is used with a SNES that does not have a user provided
      DM attached to it since the inner SNES (which shares the DM with the outer SNES) tries
      to set its input vector (which is associated with the DM) as the base global vector.
      Thanks to Juan P. Mendez Granado Re: [petsc-maint] Nonlinear conjugate gradien
      for pointing out the problem.
   */
  if (vdm == dm) PetscFunctionReturn(PETSC_SUCCESS);
  PetscCall(PetscObjectReference((PetscObject)X));
  PetscCall(VecDestroy(&shell->Xglobal));
  shell->Xglobal = X;
  PetscCall(DMClearGlobalVectors(dm));
  PetscCall(DMClearNamedGlobalVectors(dm));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMShellGetGlobalVector - Returns the template global vector associated with the `DMSHELL`, or `NULL` if it was not set

  Not Collective

  Input Parameters:
+ dm - `DMSHELL`
- X  - template vector

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetGlobalVector()`, `DMShellSetCreateGlobalVector()`, `DMCreateGlobalVector()`
@*/
PetscErrorCode DMShellGetGlobalVector(DM dm, Vec *X)
{
  DM_Shell *shell = (DM_Shell *)dm->data;
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscAssertPointer(X, 2);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  *X = shell->Xglobal;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetCreateGlobalVector - sets the routine to create a global vector associated with the `DMSHELL`

  Logically Collective

  Input Parameters:
+ dm   - the `DMSHELL`
- func - the creation routine

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetGlobalVector()`, `DMShellSetCreateMatrix()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetCreateGlobalVector(DM dm, PetscErrorCode (*func)(DM, Vec *))
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  dm->ops->createglobalvector = func;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMShellSetLocalVector - sets a template local vector associated with the `DMSHELL`

  Logically Collective

  Input Parameters:
+ dm - `DMSHELL`
- X  - template vector

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMCreateLocalVector()`, `DMShellSetMatrix()`, `DMShellSetCreateLocalVector()`
@*/
PetscErrorCode DMShellSetLocalVector(DM dm, Vec X)
{
  DM_Shell *shell = (DM_Shell *)dm->data;
  PetscBool isshell;
  DM        vdm;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscValidHeaderSpecific(X, VEC_CLASSID, 2);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  PetscCall(VecGetDM(X, &vdm));
  /*
      if the vector proposed as the new base global vector for the DM is a DM vector associated
      with the same DM then the current base global vector for the DM is ok and if we replace it with the new one
      we get a circular dependency that prevents the DM from being destroy when it should be.
      This occurs when SNESSet/GetNPC() is used with a SNES that does not have a user provided
      DM attached to it since the inner SNES (which shares the DM with the outer SNES) tries
      to set its input vector (which is associated with the DM) as the base global vector.
      Thanks to Juan P. Mendez Granado Re: [petsc-maint] Nonlinear conjugate gradien
      for pointing out the problem.
   */
  if (vdm == dm) PetscFunctionReturn(PETSC_SUCCESS);
  PetscCall(PetscObjectReference((PetscObject)X));
  PetscCall(VecDestroy(&shell->Xlocal));
  shell->Xlocal = X;
  PetscCall(DMClearLocalVectors(dm));
  PetscCall(DMClearNamedLocalVectors(dm));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetCreateLocalVector - sets the routine to create a local vector associated with the `DMSHELL`

  Logically Collective

  Input Parameters:
+ dm   - the `DMSHELL`
- func - the creation routine

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetLocalVector()`, `DMShellSetCreateMatrix()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetCreateLocalVector(DM dm, PetscErrorCode (*func)(DM, Vec *))
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  dm->ops->createlocalvector = func;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetGlobalToLocal - Sets the routines used to perform a global to local scatter

  Logically Collective

  Input Parameters:
+ dm    - the `DMSHELL`
. begin - the routine that begins the global to local scatter
- end   - the routine that ends the global to local scatter

  Level: advanced

  Note:
  If these functions are not provided but `DMShellSetGlobalToLocalVecScatter()` is called then
  `DMGlobalToLocalBeginDefaultShell()`/`DMGlobalToLocalEndDefaultShell()` are used to perform the transfers

.seealso: `DM`, `DMSHELL`, `DMShellSetLocalToGlobal()`, `DMGlobalToLocalBeginDefaultShell()`, `DMGlobalToLocalEndDefaultShell()`
@*/
PetscErrorCode DMShellSetGlobalToLocal(DM dm, PetscErrorCode (*begin)(DM, Vec, InsertMode, Vec), PetscErrorCode (*end)(DM, Vec, InsertMode, Vec))
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  dm->ops->globaltolocalbegin = begin;
  dm->ops->globaltolocalend   = end;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetLocalToGlobal - Sets the routines used to perform a local to global scatter

  Logically Collective

  Input Parameters:
+ dm    - the `DMSHELL`
. begin - the routine that begins the local to global scatter
- end   - the routine that ends the local to global scatter

  Level: advanced

  Note:
  If these functions are not provided but `DMShellSetLocalToGlobalVecScatter()` is called then
  `DMLocalToGlobalBeginDefaultShell()`/`DMLocalToGlobalEndDefaultShell()` are used to perform the transfers

.seealso: `DM`, `DMSHELL`, `DMShellSetGlobalToLocal()`
@*/
PetscErrorCode DMShellSetLocalToGlobal(DM dm, PetscErrorCode (*begin)(DM, Vec, InsertMode, Vec), PetscErrorCode (*end)(DM, Vec, InsertMode, Vec))
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  dm->ops->localtoglobalbegin = begin;
  dm->ops->localtoglobalend   = end;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetLocalToLocal - Sets the routines used to perform a local to local scatter

  Logically Collective

  Input Parameters:
+ dm    - the `DMSHELL`
. begin - the routine that begins the local to local scatter
- end   - the routine that ends the local to local scatter

  Level: advanced

  Note:
  If these functions are not provided but `DMShellSetLocalToLocalVecScatter()` is called then
  `DMLocalToLocalBeginDefaultShell()`/`DMLocalToLocalEndDefaultShell()` are used to perform the transfers

.seealso: `DM`, `DMSHELL`, `DMShellSetGlobalToLocal()`, `DMLocalToLocalBeginDefaultShell()`, `DMLocalToLocalEndDefaultShell()`
@*/
PetscErrorCode DMShellSetLocalToLocal(DM dm, PetscErrorCode (*begin)(DM, Vec, InsertMode, Vec), PetscErrorCode (*end)(DM, Vec, InsertMode, Vec))
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  dm->ops->localtolocalbegin = begin;
  dm->ops->localtolocalend   = end;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMShellSetGlobalToLocalVecScatter - Sets a `VecScatter` context for global to local communication

  Logically Collective

  Input Parameters:
+ dm   - the `DMSHELL`
- gtol - the global to local `VecScatter` context

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetGlobalToLocal()`, `DMGlobalToLocalBeginDefaultShell()`, `DMGlobalToLocalEndDefaultShell()`
@*/
PetscErrorCode DMShellSetGlobalToLocalVecScatter(DM dm, VecScatter gtol)
{
  DM_Shell *shell = (DM_Shell *)dm->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscValidHeaderSpecific(gtol, PETSCSF_CLASSID, 2);
  PetscCall(PetscObjectReference((PetscObject)gtol));
  PetscCall(VecScatterDestroy(&shell->gtol));
  shell->gtol = gtol;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMShellSetLocalToGlobalVecScatter - Sets a` VecScatter` context for local to global communication

  Logically Collective

  Input Parameters:
+ dm   - the `DMSHELL`
- ltog - the local to global `VecScatter` context

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetLocalToGlobal()`, `DMLocalToGlobalBeginDefaultShell()`, `DMLocalToGlobalEndDefaultShell()`
@*/
PetscErrorCode DMShellSetLocalToGlobalVecScatter(DM dm, VecScatter ltog)
{
  DM_Shell *shell = (DM_Shell *)dm->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscValidHeaderSpecific(ltog, PETSCSF_CLASSID, 2);
  PetscCall(PetscObjectReference((PetscObject)ltog));
  PetscCall(VecScatterDestroy(&shell->ltog));
  shell->ltog = ltog;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMShellSetLocalToLocalVecScatter - Sets a `VecScatter` context for local to local communication

  Logically Collective

  Input Parameters:
+ dm   - the `DMSHELL`
- ltol - the local to local `VecScatter` context

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetLocalToLocal()`, `DMLocalToLocalBeginDefaultShell()`, `DMLocalToLocalEndDefaultShell()`
@*/
PetscErrorCode DMShellSetLocalToLocalVecScatter(DM dm, VecScatter ltol)
{
  DM_Shell *shell = (DM_Shell *)dm->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscValidHeaderSpecific(ltol, PETSCSF_CLASSID, 2);
  PetscCall(PetscObjectReference((PetscObject)ltol));
  PetscCall(VecScatterDestroy(&shell->ltol));
  shell->ltol = ltol;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetCoarsen - Set the routine used to coarsen the `DMSHELL`

  Logically Collective

  Input Parameters:
+ dm      - the `DMSHELL`
- coarsen - the routine that coarsens the `DM`

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetRefine()`, `DMCoarsen()`, `DMShellGetCoarsen()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetCoarsen(DM dm, PetscErrorCode (*coarsen)(DM, MPI_Comm, DM *))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  dm->ops->coarsen = coarsen;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellGetCoarsen - Get the routine used to coarsen the `DMSHELL`

  Logically Collective

  Input Parameter:
. dm - the `DMSHELL`

  Output Parameter:
. coarsen - the routine that coarsens the `DM`

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetCoarsen()`, `DMCoarsen()`, `DMShellSetRefine()`, `DMRefine()`
@*/
PetscErrorCode DMShellGetCoarsen(DM dm, PetscErrorCode (**coarsen)(DM, MPI_Comm, DM *))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  PetscCheck(isshell, PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Can only use with DMSHELL type DMs");
  *coarsen = dm->ops->coarsen;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetRefine - Set the routine used to refine the `DMSHELL`

  Logically Collective

  Input Parameters:
+ dm     - the `DMSHELL`
- refine - the routine that refines the `DM`

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetCoarsen()`, `DMRefine()`, `DMShellGetRefine()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetRefine(DM dm, PetscErrorCode (*refine)(DM, MPI_Comm, DM *))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  dm->ops->refine = refine;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellGetRefine - Get the routine used to refine the `DMSHELL`

  Logically Collective

  Input Parameter:
. dm - the `DMSHELL`

  Output Parameter:
. refine - the routine that refines the `DM`

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetCoarsen()`, `DMCoarsen()`, `DMShellSetRefine()`, `DMRefine()`
@*/
PetscErrorCode DMShellGetRefine(DM dm, PetscErrorCode (**refine)(DM, MPI_Comm, DM *))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  PetscCheck(isshell, PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Can only use with DMSHELL type DMs");
  *refine = dm->ops->refine;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetCreateInterpolation - Set the routine used to create the interpolation operator

  Logically Collective

  Input Parameters:
+ dm     - the `DMSHELL`
- interp - the routine to create the interpolation

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetCreateInjection()`, `DMCreateInterpolation()`, `DMShellGetCreateInterpolation()`, `DMShellSetCreateRestriction()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetCreateInterpolation(DM dm, PetscErrorCode (*interp)(DM, DM, Mat *, Vec *))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  dm->ops->createinterpolation = interp;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellGetCreateInterpolation - Get the routine used to create the interpolation operator

  Logically Collective

  Input Parameter:
. dm - the `DMSHELL`

  Output Parameter:
. interp - the routine to create the interpolation

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellGetCreateInjection()`, `DMCreateInterpolation()`, `DMShellGetCreateRestriction()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellGetCreateInterpolation(DM dm, PetscErrorCode (**interp)(DM, DM, Mat *, Vec *))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  PetscCheck(isshell, PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Can only use with DMSHELL type DMs");
  *interp = dm->ops->createinterpolation;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetCreateRestriction - Set the routine used to create the restriction operator

  Logically Collective

  Input Parameters:
+ dm          - the `DMSHELL`
- restriction - the routine to create the restriction

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetCreateInjection()`, `DMCreateInterpolation()`, `DMShellGetCreateRestriction()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetCreateRestriction(DM dm, PetscErrorCode (*restriction)(DM, DM, Mat *))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  dm->ops->createrestriction = restriction;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellGetCreateRestriction - Get the routine used to create the restriction operator

  Logically Collective

  Input Parameter:
. dm - the `DMSHELL`

  Output Parameter:
. restriction - the routine to create the restriction

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetCreateInjection()`, `DMCreateInterpolation()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellGetCreateRestriction(DM dm, PetscErrorCode (**restriction)(DM, DM, Mat *))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  PetscCheck(isshell, PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Can only use with DMSHELL type DMs");
  *restriction = dm->ops->createrestriction;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetCreateInjection - Set the routine used to create the injection operator

  Logically Collective

  Input Parameters:
+ dm     - the `DMSHELL`
- inject - the routine to create the injection

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellSetCreateInterpolation()`, `DMCreateInjection()`, `DMShellGetCreateInjection()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetCreateInjection(DM dm, PetscErrorCode (*inject)(DM, DM, Mat *))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  dm->ops->createinjection = inject;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellGetCreateInjection - Get the routine used to create the injection operator

  Logically Collective

  Input Parameter:
. dm - the `DMSHELL`

  Output Parameter:
. inject - the routine to create the injection

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMShellGetCreateInterpolation()`, `DMCreateInjection()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellGetCreateInjection(DM dm, PetscErrorCode (**inject)(DM, DM, Mat *))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  PetscCheck(isshell, PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Can only use with DMSHELL type DMs");
  *inject = dm->ops->createinjection;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetCreateFieldDecomposition - Set the routine used to create a decomposition of fields for the `DMSHELL`

  Logically Collective

  Input Parameters:
+ dm     - the `DMSHELL`
- decomp - the routine to create the decomposition

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMCreateFieldDecomposition()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetCreateFieldDecomposition(DM dm, PetscErrorCode (*decomp)(DM, PetscInt *, char ***, IS **, DM **))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  dm->ops->createfielddecomposition = decomp;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetCreateDomainDecomposition - Set the routine used to create a domain decomposition for the `DMSHELL`

  Logically Collective

  Input Parameters:
+ dm     - the `DMSHELL`
- decomp - the routine to create the decomposition

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMCreateDomainDecomposition()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetCreateDomainDecomposition(DM dm, PetscErrorCode (*decomp)(DM, PetscInt *, char ***, IS **, IS **, DM **))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  dm->ops->createdomaindecomposition = decomp;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetCreateDomainDecompositionScatters - Set the routine used to create the scatter contexts for domain decomposition with a `DMSHELL`

  Logically Collective

  Input Parameters:
+ dm      - the `DMSHELL`
- scatter - the routine to create the scatters

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMCreateDomainDecompositionScatters()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetCreateDomainDecompositionScatters(DM dm, PetscErrorCode (*scatter)(DM, PetscInt, DM *, VecScatter **, VecScatter **, VecScatter **))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  dm->ops->createddscatters = scatter;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellSetCreateSubDM - Set the routine used to create a sub `DM` from the `DMSHELL`

  Logically Collective

  Input Parameters:
+ dm    - the `DMSHELL`
- subdm - the routine to create the decomposition

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMCreateSubDM()`, `DMShellGetCreateSubDM()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellSetCreateSubDM(DM dm, PetscErrorCode (*subdm)(DM, PetscInt, const PetscInt[], IS *, DM *))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  if (!isshell) PetscFunctionReturn(PETSC_SUCCESS);
  dm->ops->createsubdm = subdm;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  DMShellGetCreateSubDM - Get the routine used to create a sub DM from the `DMSHELL`

  Logically Collective

  Input Parameter:
. dm - the `DMSHELL`

  Output Parameter:
. subdm - the routine to create the decomposition

  Level: advanced

.seealso: `DM`, `DMSHELL`, `DMCreateSubDM()`, `DMShellSetCreateSubDM()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellGetCreateSubDM(DM dm, PetscErrorCode (**subdm)(DM, PetscInt, const PetscInt[], IS *, DM *))
{
  PetscBool isshell;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
  PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMSHELL, &isshell));
  PetscCheck(isshell, PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Can only use with DMSHELL type DMs");
  *subdm = dm->ops->createsubdm;
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode DMDestroy_Shell(DM dm)
{
  DM_Shell *shell = (DM_Shell *)dm->data;

  PetscFunctionBegin;
  if (shell->destroyctx) PetscCallBack("Destroy Context", (*shell->destroyctx)(&shell->ctx));
  PetscCall(MatDestroy(&shell->A));
  PetscCall(VecDestroy(&shell->Xglobal));
  PetscCall(VecDestroy(&shell->Xlocal));
  PetscCall(VecScatterDestroy(&shell->gtol));
  PetscCall(VecScatterDestroy(&shell->ltog));
  PetscCall(VecScatterDestroy(&shell->ltol));
  /* This was originally freed in DMDestroy(), but that prevents reference counting of backend objects */
  PetscCall(PetscFree(shell));
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode DMView_Shell(DM dm, PetscViewer v)
{
  DM_Shell *shell = (DM_Shell *)dm->data;

  PetscFunctionBegin;
  if (shell->Xglobal) PetscCall(VecView(shell->Xglobal, v));
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode DMLoad_Shell(DM dm, PetscViewer v)
{
  DM_Shell *shell = (DM_Shell *)dm->data;

  PetscFunctionBegin;
  PetscCall(VecCreate(PetscObjectComm((PetscObject)dm), &shell->Xglobal));
  PetscCall(VecLoad(shell->Xglobal, v));
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode DMCreateSubDM_Shell(DM dm, PetscInt numFields, const PetscInt fields[], IS *is, DM *subdm)
{
  PetscFunctionBegin;
  if (subdm) PetscCall(DMShellCreate(PetscObjectComm((PetscObject)dm), subdm));
  PetscCall(DMCreateSectionSubDM(dm, numFields, fields, NULL, NULL, is, subdm));
  PetscFunctionReturn(PETSC_SUCCESS);
}

PETSC_EXTERN PetscErrorCode DMCreate_Shell(DM dm)
{
  DM_Shell *shell;

  PetscFunctionBegin;
  PetscCall(PetscNew(&shell));
  dm->data = shell;

  dm->ops->destroy            = DMDestroy_Shell;
  dm->ops->createglobalvector = DMCreateGlobalVector_Shell;
  dm->ops->createlocalvector  = DMCreateLocalVector_Shell;
  dm->ops->creatematrix       = DMCreateMatrix_Shell;
  dm->ops->view               = DMView_Shell;
  dm->ops->load               = DMLoad_Shell;
  dm->ops->globaltolocalbegin = DMGlobalToLocalBeginDefaultShell;
  dm->ops->globaltolocalend   = DMGlobalToLocalEndDefaultShell;
  dm->ops->localtoglobalbegin = DMLocalToGlobalBeginDefaultShell;
  dm->ops->localtoglobalend   = DMLocalToGlobalEndDefaultShell;
  dm->ops->localtolocalbegin  = DMLocalToLocalBeginDefaultShell;
  dm->ops->localtolocalend    = DMLocalToLocalEndDefaultShell;
  dm->ops->createsubdm        = DMCreateSubDM_Shell;
  PetscCall(DMSetMatType(dm, MATDENSE));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  DMShellCreate - Creates a `DMSHELL` object, used to manage user-defined problem data

  Collective

  Input Parameter:
. comm - the processors that will share the global vector

  Output Parameter:
. dm - the `DMSHELL`

  Level: advanced

.seealso: `DMDestroy()`, `DMCreateGlobalVector()`, `DMCreateLocalVector()`, `DMShellSetContext()`, `DMShellGetContext()`
@*/
PetscErrorCode DMShellCreate(MPI_Comm comm, DM *dm)
{
  PetscFunctionBegin;
  PetscAssertPointer(dm, 2);
  PetscCall(DMCreate(comm, dm));
  PetscCall(DMSetType(*dm, DMSHELL));
  PetscCall(DMSetUp(*dm));
  PetscFunctionReturn(PETSC_SUCCESS);
}