mat/utils/gcreate.c

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

#include <../src/mat/impls/aij/seq/aij.h>
#include <../src/mat/impls/aij/mpi/mpiaij.h>

PetscErrorCode MatSetBlockSizes_Default(Mat mat, PetscInt rbs, PetscInt cbs)
{
  PetscFunctionBegin;
  if (!mat->preallocated) PetscFunctionReturn(PETSC_SUCCESS);
  PetscCheck(mat->rmap->bs <= 0 || mat->rmap->bs == rbs, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Cannot change row block size %" PetscInt_FMT " to %" PetscInt_FMT, mat->rmap->bs, rbs);
  PetscCheck(mat->cmap->bs <= 0 || mat->cmap->bs == cbs, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Cannot change column block size %" PetscInt_FMT " to %" PetscInt_FMT, mat->cmap->bs, cbs);
  PetscFunctionReturn(PETSC_SUCCESS);
}

PetscErrorCode MatShift_Basic(Mat Y, PetscScalar a)
{
  PetscInt    i, start, end, oldValA = 0, oldValB = 0;
  PetscScalar alpha = a;
  PetscBool   prevoption;
  PetscBool   isSeqAIJDerived, isMPIAIJDerived; // all classes sharing SEQAIJHEADER or MPIAIJHEADER
  Mat         A = NULL, B = NULL;

  PetscFunctionBegin;
  PetscCall(MatGetOption(Y, MAT_NO_OFF_PROC_ENTRIES, &prevoption));
  PetscCall(MatSetOption(Y, MAT_NO_OFF_PROC_ENTRIES, PETSC_TRUE));
  PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)Y, &isSeqAIJDerived, MATSEQAIJ, MATSEQBAIJ, MATSEQSBAIJ, ""));
  PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)Y, &isMPIAIJDerived, MATMPIAIJ, MATMPIBAIJ, MATMPISBAIJ, ""));

  if (isSeqAIJDerived) A = Y;
  else if (isMPIAIJDerived) {
    Mat_MPIAIJ *mpiaij = (Mat_MPIAIJ *)Y->data;
    A                  = mpiaij->A;
    B                  = mpiaij->B;
  }

  if (A) {
    oldValA                        = ((Mat_SeqAIJ *)A->data)->nonew;
    ((Mat_SeqAIJ *)A->data)->nonew = 0; // so that new nonzero locations are allowed
  }
  if (B) {
    oldValB                        = ((Mat_SeqAIJ *)B->data)->nonew;
    ((Mat_SeqAIJ *)B->data)->nonew = 0;
  }

  PetscCall(MatGetOwnershipRange(Y, &start, &end));
  for (i = start; i < end; i++) {
    if (i < Y->cmap->N) PetscCall(MatSetValues(Y, 1, &i, 1, &i, &alpha, ADD_VALUES));
  }
  PetscCall(MatAssemblyBegin(Y, MAT_FINAL_ASSEMBLY));
  PetscCall(MatAssemblyEnd(Y, MAT_FINAL_ASSEMBLY));
  PetscCall(MatSetOption(Y, MAT_NO_OFF_PROC_ENTRIES, prevoption));
  if (A) ((Mat_SeqAIJ *)A->data)->nonew = oldValA;
  if (B) ((Mat_SeqAIJ *)B->data)->nonew = oldValB;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  MatCreate - Creates a matrix where the type is determined
  from either a call to `MatSetType()` or from the options database
  with a call to `MatSetFromOptions()`.

  Collective

  Input Parameter:
. comm - MPI communicator

  Output Parameter:
. A - the matrix

  Options Database Keys:
+ -mat_type seqaij   - `MATSEQAIJ` type, uses `MatCreateSeqAIJ()`
. -mat_type mpiaij   - `MATMPIAIJ` type, uses `MatCreateAIJ()`
. -mat_type seqdense - `MATSEQDENSE`, uses `MatCreateSeqDense()`
. -mat_type mpidense - `MATMPIDENSE` type, uses `MatCreateDense()`
. -mat_type seqbaij  - `MATSEQBAIJ` type, uses `MatCreateSeqBAIJ()`
- -mat_type mpibaij  - `MATMPIBAIJ` type, uses `MatCreateBAIJ()`

   See the manpages for particular formats (e.g., `MATSEQAIJ`)
   for additional format-specific options.

  Level: beginner

  Notes:
  The default matrix type is `MATAIJ`, using the routines `MatCreateSeqAIJ()` or
  `MatCreateAIJ()` if you do not set a type in the options database. If you never call
  `MatSetType()` or `MatSetFromOptions()` it will generate an error when you try to use the
  matrix.

.seealso: [](ch_matrices), `Mat`, `MatCreateSeqAIJ()`, `MatCreateAIJ()`,
          `MatCreateSeqDense()`, `MatCreateDense()`,
          `MatCreateSeqBAIJ()`, `MatCreateBAIJ()`,
          `MatCreateSeqSBAIJ()`, `MatCreateSBAIJ()`,
          `MatConvert()`
@*/
PetscErrorCode MatCreate(MPI_Comm comm, Mat *A)
{
  Mat B;

  PetscFunctionBegin;
  PetscAssertPointer(A, 2);
  PetscCall(MatInitializePackage());

  PetscCall(PetscHeaderCreate(B, MAT_CLASSID, "Mat", "Matrix", "Mat", comm, MatDestroy, MatView));
  PetscCall(PetscLayoutCreate(comm, &B->rmap));
  PetscCall(PetscLayoutCreate(comm, &B->cmap));
  PetscCall(PetscStrallocpy(VECSTANDARD, &B->defaultvectype));
  PetscCall(PetscStrallocpy(PETSCRANDER48, &B->defaultrandtype));

  B->symmetric                   = PETSC_BOOL3_UNKNOWN;
  B->hermitian                   = PETSC_BOOL3_UNKNOWN;
  B->structurally_symmetric      = PETSC_BOOL3_UNKNOWN;
  B->spd                         = PETSC_BOOL3_UNKNOWN;
  B->symmetry_eternal            = PETSC_FALSE;
  B->structural_symmetry_eternal = PETSC_FALSE;

  B->congruentlayouts = PETSC_DECIDE;
  B->preallocated     = PETSC_FALSE;
#if defined(PETSC_HAVE_DEVICE)
  B->boundtocpu = PETSC_TRUE;
#endif
  *A = B;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  MatCreateFromOptions - Creates a matrix whose type is set from the options database

  Collective

  Input Parameters:
+ comm   - MPI communicator
. prefix - [optional] prefix for the options database
. bs     - the blocksize (commonly 1)
. m      - the local number of rows (or `PETSC_DECIDE`)
. n      - the local number of columns (or `PETSC_DECIDE` or `PETSC_DETERMINE`)
. M      - the global number of rows (or `PETSC_DETERMINE`)
- N      - the global number of columns (or `PETSC_DETERMINE`)

  Output Parameter:
. A - the matrix

  Options Database Key:
. -mat_type - see `MatType`, for example `aij`, `aijcusparse`, `baij`, `sbaij`, dense, defaults to `aij`

  Level: beginner

.seealso: [](ch_matrices), `Mat`, `MatCreateSeqAIJ()`, `MatCreateAIJ()`,
          `MatCreateSeqDense()`, `MatCreateDense()`,
          `MatCreateSeqBAIJ()`, `MatCreateBAIJ()`,
          `MatCreateSeqSBAIJ()`, `MatCreateSBAIJ()`,
          `MatConvert()`, `MatCreate()`
@*/
PetscErrorCode MatCreateFromOptions(MPI_Comm comm, const char *prefix, PetscInt bs, PetscInt m, PetscInt n, PetscInt M, PetscInt N, Mat *A)
{
  PetscFunctionBegin;
  PetscAssertPointer(A, 8);
  PetscCall(MatCreate(comm, A));
  if (prefix) PetscCall(MatSetOptionsPrefix(*A, prefix));
  PetscCall(MatSetBlockSize(*A, bs));
  PetscCall(MatSetSizes(*A, m, n, M, N));
  PetscCall(MatSetFromOptions(*A));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  MatSetErrorIfFailure - Causes `Mat` to generate an immediate error, for example a zero pivot, is detected.

  Logically Collective

  Input Parameters:
+ mat - matrix obtained from `MatCreate()`
- flg - `PETSC_TRUE` indicates you want the error generated

  Level: advanced

  Note:
  If this flag is not set then the matrix operation will note the error and continue. The error may cause a later `PC` or `KSP` error
  or result in a `KSPConvergedReason` indicating the method did not converge.

.seealso: [](ch_matrices), `Mat`, `PCSetErrorIfFailure()`, `KSPConvergedReason`, `SNESConvergedReason`
@*/
PetscErrorCode MatSetErrorIfFailure(Mat mat, PetscBool flg)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(mat, MAT_CLASSID, 1);
  PetscValidLogicalCollectiveBool(mat, flg, 2);
  mat->erroriffailure = flg;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  MatSetSizes - Sets the local and global sizes, and checks to determine compatibility

  Collective

  Input Parameters:
+ A - the matrix
. m - number of local rows (or `PETSC_DECIDE`)
. n - number of local columns (or `PETSC_DECIDE`)
. M - number of global rows (or `PETSC_DETERMINE`)
- N - number of global columns (or `PETSC_DETERMINE`)

  Level: beginner

  Notes:
  `m` (`n`) and `M` (`N`) cannot be both `PETSC_DECIDE`
  If one processor calls this with `M` (`N`) of `PETSC_DECIDE` then all processors must, otherwise the program will hang.

  If `PETSC_DECIDE` is not used for the arguments 'm' and 'n', then the
  user must ensure that they are chosen to be compatible with the
  vectors. To do this, one first considers the matrix-vector product
  'y = A x'. The `m` that is used in the above routine must match the
  local size of 'y'. Likewise, the `n` used must match the local size of 'x'.

  If `m` and `n` are not `PETSC_DECIDE`, then the values determine the `PetscLayout` of the matrix and the ranges returned by
  `MatGetOwnershipRange()`,  `MatGetOwnershipRanges()`, `MatGetOwnershipRangeColumn()`, and `MatGetOwnershipRangesColumn()`.

  You cannot change the sizes once they have been set.

  The sizes must be set before `MatSetUp()` or MatXXXSetPreallocation() is called.

.seealso: [](ch_matrices), `Mat`, `MatGetSize()`, `PetscSplitOwnership()`, `MatGetOwnershipRange()`, `MatGetOwnershipRanges()`,
          `MatGetOwnershipRangeColumn()`, `MatGetOwnershipRangesColumn()`, `PetscLayout`, `VecSetSizes()`
@*/
PetscErrorCode MatSetSizes(Mat A, PetscInt m, PetscInt n, PetscInt M, PetscInt N)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(A, MAT_CLASSID, 1);
  PetscValidLogicalCollectiveInt(A, M, 4);
  PetscValidLogicalCollectiveInt(A, N, 5);
  PetscCheck(M <= 0 || m <= M, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Local row size %" PetscInt_FMT " cannot be larger than global row size %" PetscInt_FMT, m, M);
  PetscCheck(N <= 0 || n <= N, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Local column size %" PetscInt_FMT " cannot be larger than global column size %" PetscInt_FMT, n, N);
  PetscCheck((A->rmap->n < 0 || A->rmap->N < 0) || (A->rmap->n == m && (M <= 0 || A->rmap->N == M)), PETSC_COMM_SELF, PETSC_ERR_SUP, "Cannot change/reset row sizes to %" PetscInt_FMT " local %" PetscInt_FMT " global after previously setting them to %" PetscInt_FMT " local %" PetscInt_FMT " global", m, M,
             A->rmap->n, A->rmap->N);
  PetscCheck((A->cmap->n < 0 || A->cmap->N < 0) || (A->cmap->n == n && (N <= 0 || A->cmap->N == N)), PETSC_COMM_SELF, PETSC_ERR_SUP, "Cannot change/reset column sizes to %" PetscInt_FMT " local %" PetscInt_FMT " global after previously setting them to %" PetscInt_FMT " local %" PetscInt_FMT " global", n, N,
             A->cmap->n, A->cmap->N);
  A->rmap->n = m;
  A->cmap->n = n;
  A->rmap->N = M > -1 ? M : A->rmap->N;
  A->cmap->N = N > -1 ? N : A->cmap->N;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  MatSetFromOptions - Creates a matrix where the type is determined
  from the options database.

  Collective

  Input Parameter:
. B - the matrix

  Options Database Keys:
+ -mat_type seqaij   - `MATSEQAIJ` type, uses `MatCreateSeqAIJ()`
. -mat_type mpiaij   - `MATMPIAIJ` type, uses `MatCreateAIJ()`
. -mat_type seqdense - `MATSEQDENSE` type, uses `MatCreateSeqDense()`
. -mat_type mpidense - `MATMPIDENSE`, uses `MatCreateDense()`
. -mat_type seqbaij  - `MATSEQBAIJ`, uses `MatCreateSeqBAIJ()`
- -mat_type mpibaij  - `MATMPIBAIJ`, uses `MatCreateBAIJ()`

   See the manpages for particular formats (e.g., `MATSEQAIJ`)
   for additional format-specific options.

  Level: beginner

  Notes:
  Generates a parallel MPI matrix if the communicator has more than one processor.  The default
  matrix type is `MATAIJ`, using the routines `MatCreateSeqAIJ()` and `MatCreateAIJ()` if you
  do not select a type in the options database.

.seealso: [](ch_matrices), `Mat`, `MatCreateSeqAIJ()`, `MatCreateAIJ()`,
          `MatCreateSeqDense()`, `MatCreateDense()`,
          `MatCreateSeqBAIJ()`, `MatCreateBAIJ()`,
          `MatCreateSeqSBAIJ()`, `MatCreateSBAIJ()`,
          `MatConvert()`
@*/
PetscErrorCode MatSetFromOptions(Mat B)
{
  const char *deft = MATAIJ;
  char        type[256];
  PetscBool   flg, set;
  PetscInt    bind_below = 0, newbs = -1;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(B, MAT_CLASSID, 1);

  PetscObjectOptionsBegin((PetscObject)B);

  PetscCall(PetscOptionsInt("-mat_block_size", "Set the blocksize used to store the matrix", "MatSetBlockSize", newbs, &newbs, &flg));
  if (flg) {
    PetscCall(PetscLayoutSetBlockSize(B->rmap, newbs));
    PetscCall(PetscLayoutSetBlockSize(B->cmap, newbs));
  }

  PetscCall(PetscOptionsFList("-mat_type", "Matrix type", "MatSetType", MatList, deft, type, 256, &flg));
  if (flg) {
    PetscCall(MatSetType(B, type));
  } else if (!((PetscObject)B)->type_name) {
    PetscCall(MatSetType(B, deft));
  }

  PetscCall(PetscOptionsName("-mat_is_symmetric", "Checks if mat is symmetric on MatAssemblyEnd()", "MatIsSymmetric", &B->checksymmetryonassembly));
  PetscCall(PetscOptionsReal("-mat_is_symmetric", "Checks if mat is symmetric on MatAssemblyEnd()", "MatIsSymmetric", B->checksymmetrytol, &B->checksymmetrytol, NULL));
  PetscCall(PetscOptionsBool("-mat_null_space_test", "Checks if provided null space is correct in MatAssemblyEnd()", "MatSetNullSpaceTest", B->checknullspaceonassembly, &B->checknullspaceonassembly, NULL));
  PetscCall(PetscOptionsBool("-mat_error_if_failure", "Generate an error if an error occurs when factoring the matrix", "MatSetErrorIfFailure", B->erroriffailure, &B->erroriffailure, NULL));

  PetscTryTypeMethod(B, setfromoptions, PetscOptionsObject);

  flg = PETSC_FALSE;
  PetscCall(PetscOptionsBool("-mat_new_nonzero_location_err", "Generate an error if new nonzeros are created in the matrix nonzero structure (useful to test preallocation)", "MatSetOption", flg, &flg, &set));
  if (set) PetscCall(MatSetOption(B, MAT_NEW_NONZERO_LOCATION_ERR, flg));
  flg = PETSC_FALSE;
  PetscCall(PetscOptionsBool("-mat_new_nonzero_allocation_err", "Generate an error if new nonzeros are allocated in the matrix nonzero structure (useful to test preallocation)", "MatSetOption", flg, &flg, &set));
  if (set) PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, flg));
  flg = PETSC_FALSE;
  PetscCall(PetscOptionsBool("-mat_ignore_zero_entries", "For AIJ/IS matrices this will stop zero values from creating a zero location in the matrix", "MatSetOption", flg, &flg, &set));
  if (set) PetscCall(MatSetOption(B, MAT_IGNORE_ZERO_ENTRIES, flg));

  flg = PETSC_FALSE;
  PetscCall(PetscOptionsBool("-mat_form_explicit_transpose", "Hint to form an explicit transpose for operations like MatMultTranspose", "MatSetOption", flg, &flg, &set));
  if (set) PetscCall(MatSetOption(B, MAT_FORM_EXPLICIT_TRANSPOSE, flg));

  /* Bind to CPU if below a user-specified size threshold.
   * This perhaps belongs in the options for the GPU Mat types, but MatBindToCPU() does nothing when called on non-GPU types,
   * and putting it here makes is more maintainable than duplicating this for all. */
  PetscCall(PetscOptionsInt("-mat_bind_below", "Set the size threshold (in local rows) below which the Mat is bound to the CPU", "MatBindToCPU", bind_below, &bind_below, &flg));
  if (flg && B->rmap->n < bind_below) PetscCall(MatBindToCPU(B, PETSC_TRUE));

  /* process any options handlers added with PetscObjectAddOptionsHandler() */
  PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)B, PetscOptionsObject));
  PetscOptionsEnd();
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  MatXAIJSetPreallocation - set preallocation for serial and parallel `MATAIJ`, `MATBAIJ`, and `MATSBAIJ` matrices and their unassembled versions.

  Collective

  Input Parameters:
+ A     - matrix being preallocated
. bs    - block size
. dnnz  - number of nonzero column blocks per block row of diagonal part of parallel matrix
. onnz  - number of nonzero column blocks per block row of off-diagonal part of parallel matrix
. dnnzu - number of nonzero column blocks per block row of upper-triangular part of diagonal part of parallel matrix
- onnzu - number of nonzero column blocks per block row of upper-triangular part of off-diagonal part of parallel matrix

  Level: beginner

.seealso: [](ch_matrices), `Mat`, `MatSeqAIJSetPreallocation()`, `MatMPIAIJSetPreallocation()`, `MatSeqBAIJSetPreallocation()`, `MatMPIBAIJSetPreallocation()`,
          `MatSeqSBAIJSetPreallocation()`, `MatMPISBAIJSetPreallocation()`,
          `PetscSplitOwnership()`
@*/
PetscErrorCode MatXAIJSetPreallocation(Mat A, PetscInt bs, const PetscInt dnnz[], const PetscInt onnz[], const PetscInt dnnzu[], const PetscInt onnzu[])
{
  PetscInt  cbs;
  PetscBool aij, is, hyp;

  PetscFunctionBegin;
  if (bs != PETSC_DECIDE) { /* don't mess with an already set block size */
    PetscCall(MatSetBlockSize(A, bs));
  }
  PetscCall(PetscLayoutSetUp(A->rmap));
  PetscCall(PetscLayoutSetUp(A->cmap));
  PetscCall(MatGetBlockSizes(A, &bs, &cbs));
  /* these routines assumes bs == cbs, this should be checked somehow */
  PetscCall(MatSeqBAIJSetPreallocation(A, bs, 0, dnnz));
  PetscCall(MatMPIBAIJSetPreallocation(A, bs, 0, dnnz, 0, onnz));
  PetscCall(MatSeqSBAIJSetPreallocation(A, bs, 0, dnnzu));
  PetscCall(MatMPISBAIJSetPreallocation(A, bs, 0, dnnzu, 0, onnzu));
  /*
    In general, we have to do extra work to preallocate for scalar (AIJ) or unassembled (IS) matrices so we check whether it will do any
    good before going on with it.
  */
  PetscCall(PetscObjectHasFunction((PetscObject)A, "MatMPIAIJSetPreallocation_C", &aij));
  PetscCall(PetscObjectHasFunction((PetscObject)A, "MatISSetPreallocation_C", &is));
  PetscCall(PetscObjectHasFunction((PetscObject)A, "MatHYPRESetPreallocation_C", &hyp));
  if (!aij && !is && !hyp) PetscCall(PetscObjectHasFunction((PetscObject)A, "MatSeqAIJSetPreallocation_C", &aij));
  if (aij || is || hyp) {
    if (bs == cbs && bs == 1) {
      PetscCall(MatSeqAIJSetPreallocation(A, 0, dnnz));
      PetscCall(MatMPIAIJSetPreallocation(A, 0, dnnz, 0, onnz));
      PetscCall(MatISSetPreallocation(A, 0, dnnz, 0, onnz));
#if defined(PETSC_HAVE_HYPRE)
      PetscCall(MatHYPRESetPreallocation(A, 0, dnnz, 0, onnz));
#endif
    } else { /* Convert block-row precallocation to scalar-row */
      PetscInt i, m, *sdnnz, *sonnz;
      PetscCall(MatGetLocalSize(A, &m, NULL));
      PetscCall(PetscMalloc2((!!dnnz) * m, &sdnnz, (!!onnz) * m, &sonnz));
      for (i = 0; i < m; i++) {
        if (dnnz) sdnnz[i] = dnnz[i / bs] * cbs;
        if (onnz) sonnz[i] = onnz[i / bs] * cbs;
      }
      PetscCall(MatSeqAIJSetPreallocation(A, 0, dnnz ? sdnnz : NULL));
      PetscCall(MatMPIAIJSetPreallocation(A, 0, dnnz ? sdnnz : NULL, 0, onnz ? sonnz : NULL));
      PetscCall(MatISSetPreallocation(A, 0, dnnz ? sdnnz : NULL, 0, onnz ? sonnz : NULL));
#if defined(PETSC_HAVE_HYPRE)
      PetscCall(MatHYPRESetPreallocation(A, 0, dnnz ? sdnnz : NULL, 0, onnz ? sonnz : NULL));
#endif
      PetscCall(PetscFree2(sdnnz, sonnz));
    }
  }
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  MatHeaderMerge - Merges some information from the header of `C` to `A`; the `C` object is then destroyed

  Collective, No Fortran Support

  Input Parameters:
+ A - a `Mat` being merged into
- C - the `Mat` providing the merge information

  Level: developer

  Notes:
  `A` and `C` must be of the same type.
  The object list and query function list in `A` are retained, as well as the object name, and prefix.
  The object state of `A` is increased by 1.

  Developer Note:
  This is somewhat different from `MatHeaderReplace()`, it would be nice to merge the code

.seealso: `Mat`, `MatHeaderReplace()`
 @*/
PetscErrorCode MatHeaderMerge(Mat A, Mat *C)
{
  PetscInt          refct;
  PetscOps          Abops;
  struct _MatOps    Aops;
  char             *mtype, *mname, *mprefix;
  Mat_Product      *product;
  Mat_Redundant    *redundant;
  PetscObjectState  state;
  PetscObjectList   olist;
  PetscFunctionList qlist;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(A, MAT_CLASSID, 1);
  PetscValidHeaderSpecific(*C, MAT_CLASSID, 2);
  if (A == *C) PetscFunctionReturn(PETSC_SUCCESS);
  PetscCheckSameTypeAndComm(A, 1, *C, 2);
  /* save the parts of A we need */
  Abops     = ((PetscObject)A)->bops[0];
  Aops      = A->ops[0];
  refct     = ((PetscObject)A)->refct;
  mtype     = ((PetscObject)A)->type_name;
  mname     = ((PetscObject)A)->name;
  state     = ((PetscObject)A)->state;
  mprefix   = ((PetscObject)A)->prefix;
  product   = A->product;
  redundant = A->redundant;
  qlist     = ((PetscObject)A)->qlist;
  olist     = ((PetscObject)A)->olist;

  /* zero these so the destroy below does not free them */
  ((PetscObject)A)->type_name = NULL;
  ((PetscObject)A)->name      = NULL;
  ((PetscObject)A)->qlist     = NULL;
  ((PetscObject)A)->olist     = NULL;

  /*
     free all the interior data structures from mat
     cannot use PetscUseTypeMethod(A,destroy); because compiler
     thinks it may print NULL type_name and name
  */
  PetscTryTypeMethod(A, destroy);

  PetscCall(PetscFree(A->defaultvectype));
  PetscCall(PetscFree(A->defaultrandtype));
  PetscCall(PetscLayoutDestroy(&A->rmap));
  PetscCall(PetscLayoutDestroy(&A->cmap));
  PetscCall(PetscComposedQuantitiesDestroy((PetscObject)A));

  /* copy C over to A */
  PetscCall(PetscFree(A->factorprefix));
  PetscCall(PetscMemcpy(A, *C, sizeof(struct _p_Mat)));

  /* return the parts of A we saved */
  ((PetscObject)A)->bops[0]   = Abops;
  A->ops[0]                   = Aops;
  ((PetscObject)A)->refct     = refct;
  ((PetscObject)A)->type_name = mtype;
  ((PetscObject)A)->name      = mname;
  ((PetscObject)A)->prefix    = mprefix;
  ((PetscObject)A)->state     = state + 1;
  A->product                  = product;
  A->redundant                = redundant;

  /* Append the saved lists */
  PetscCall(PetscFunctionListDuplicate(qlist, &((PetscObject)A)->qlist));
  PetscCall(PetscObjectListDuplicate(olist, &((PetscObject)A)->olist));
  PetscCall(PetscFunctionListDestroy(&qlist));
  PetscCall(PetscObjectListDestroy(&olist));

  /* since these two are copied into A we do not want them destroyed in C */
  ((PetscObject)*C)->qlist = NULL;
  ((PetscObject)*C)->olist = NULL;
  PetscCall(PetscHeaderDestroy(C));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  MatHeaderReplace - Replaces the internal data of matrix `A` by the internal data of matrix `C` while deleting the outer wrapper of `C`

  Input Parameters:
+ A - a `Mat` whose internal data is to be replaced
- C - the `Mat` providing new internal data for `A`

  Level: advanced

  Example Usage\:
.vb
  Mat C;
  MatCreateSeqAIJWithArrays(..., &C);
  MatHeaderReplace(A, &C);
  // C has been destroyed and A contains the matrix entries of C
.ve

  Note:
  This can be used inside a function provided to `SNESSetJacobian()`, `TSSetRHSJacobian()`, or `TSSetIJacobian()` in cases where the user code
  computes an entirely new sparse matrix  (generally with a different matrix nonzero structure/pattern) for each Newton update.
  It is usually better to reuse the matrix nonzero structure of `A` instead of constructing an entirely new one.

  Developer Note:
  This is somewhat different from `MatHeaderMerge()` it would be nice to merge the code

.seealso: `Mat`, `MatHeaderMerge()`
 @*/
PetscErrorCode MatHeaderReplace(Mat A, Mat *C)
{
  PetscInt         refct;
  PetscObjectState state;
  struct _p_Mat    buffer;
  MatStencilInfo   stencil;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(A, MAT_CLASSID, 1);
  PetscValidHeaderSpecific(*C, MAT_CLASSID, 2);
  if (A == *C) PetscFunctionReturn(PETSC_SUCCESS);
  PetscCheckSameComm(A, 1, *C, 2);
  PetscCheck(((PetscObject)*C)->refct == 1, PetscObjectComm((PetscObject)C), PETSC_ERR_ARG_WRONGSTATE, "Object C has refct %" PetscInt_FMT " > 1, would leave hanging reference", ((PetscObject)*C)->refct);

  /* swap C and A */
  refct   = ((PetscObject)A)->refct;
  state   = ((PetscObject)A)->state;
  stencil = A->stencil;
  PetscCall(PetscMemcpy(&buffer, A, sizeof(struct _p_Mat)));
  PetscCall(PetscMemcpy(A, *C, sizeof(struct _p_Mat)));
  PetscCall(PetscMemcpy(*C, &buffer, sizeof(struct _p_Mat)));
  ((PetscObject)A)->refct = refct;
  ((PetscObject)A)->state = state + 1;
  A->stencil              = stencil;

  ((PetscObject)*C)->refct = 1;
  PetscCall(MatDestroy(C));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  MatBindToCPU - marks a matrix to temporarily stay on the CPU and perform computations on the CPU

  Logically Collective

  Input Parameters:
+ A   - the matrix
- flg - bind to the CPU if value of `PETSC_TRUE`

  Level: intermediate

.seealso: [](ch_matrices), `Mat`, `MatBoundToCPU()`
@*/
PetscErrorCode MatBindToCPU(Mat A, PetscBool flg)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(A, MAT_CLASSID, 1);
  PetscValidLogicalCollectiveBool(A, flg, 2);
#if defined(PETSC_HAVE_DEVICE)
  if (A->boundtocpu == flg) PetscFunctionReturn(PETSC_SUCCESS);
  A->boundtocpu = flg;
  PetscTryTypeMethod(A, bindtocpu, flg);
#endif
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  MatBoundToCPU - query if a matrix is bound to the CPU

  Input Parameter:
. A - the matrix

  Output Parameter:
. flg - the logical flag

  Level: intermediate

.seealso: [](ch_matrices), `Mat`, `MatBindToCPU()`
@*/
PetscErrorCode MatBoundToCPU(Mat A, PetscBool *flg)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(A, MAT_CLASSID, 1);
  PetscAssertPointer(flg, 2);
#if defined(PETSC_HAVE_DEVICE)
  *flg = A->boundtocpu;
#else
  *flg = PETSC_TRUE;
#endif
  PetscFunctionReturn(PETSC_SUCCESS);
}

PetscErrorCode MatSetValuesCOO_Basic(Mat A, const PetscScalar coo_v[], InsertMode imode)
{
  IS              is_coo_i, is_coo_j;
  const PetscInt *coo_i, *coo_j;
  PetscInt        n, n_i, n_j;
  PetscScalar     zero = 0.;

  PetscFunctionBegin;
  PetscCall(PetscObjectQuery((PetscObject)A, "__PETSc_coo_i", (PetscObject *)&is_coo_i));
  PetscCall(PetscObjectQuery((PetscObject)A, "__PETSc_coo_j", (PetscObject *)&is_coo_j));
  PetscCheck(is_coo_i, PetscObjectComm((PetscObject)A), PETSC_ERR_COR, "Missing coo_i IS");
  PetscCheck(is_coo_j, PetscObjectComm((PetscObject)A), PETSC_ERR_COR, "Missing coo_j IS");
  PetscCall(ISGetLocalSize(is_coo_i, &n_i));
  PetscCall(ISGetLocalSize(is_coo_j, &n_j));
  PetscCheck(n_i == n_j, PETSC_COMM_SELF, PETSC_ERR_COR, "Wrong local size %" PetscInt_FMT " != %" PetscInt_FMT, n_i, n_j);
  PetscCall(ISGetIndices(is_coo_i, &coo_i));
  PetscCall(ISGetIndices(is_coo_j, &coo_j));
  if (imode != ADD_VALUES) PetscCall(MatZeroEntries(A));
  for (n = 0; n < n_i; n++) PetscCall(MatSetValue(A, coo_i[n], coo_j[n], coo_v ? coo_v[n] : zero, ADD_VALUES));
  PetscCall(ISRestoreIndices(is_coo_i, &coo_i));
  PetscCall(ISRestoreIndices(is_coo_j, &coo_j));
  PetscFunctionReturn(PETSC_SUCCESS);
}

PetscErrorCode MatSetPreallocationCOO_Basic(Mat A, PetscCount ncoo, PetscInt coo_i[], PetscInt coo_j[])
{
  Mat         preallocator;
  IS          is_coo_i, is_coo_j;
  PetscInt    ncoo_i;
  PetscScalar zero = 0.0;

  PetscFunctionBegin;
  PetscCall(PetscIntCast(ncoo, &ncoo_i));
  PetscCall(PetscLayoutSetUp(A->rmap));
  PetscCall(PetscLayoutSetUp(A->cmap));
  PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &preallocator));
  PetscCall(MatSetType(preallocator, MATPREALLOCATOR));
  PetscCall(MatSetSizes(preallocator, A->rmap->n, A->cmap->n, A->rmap->N, A->cmap->N));
  PetscCall(MatSetLayouts(preallocator, A->rmap, A->cmap));
  PetscCall(MatSetUp(preallocator));
  for (PetscCount n = 0; n < ncoo; n++) PetscCall(MatSetValue(preallocator, coo_i[n], coo_j[n], zero, INSERT_VALUES));
  PetscCall(MatAssemblyBegin(preallocator, MAT_FINAL_ASSEMBLY));
  PetscCall(MatAssemblyEnd(preallocator, MAT_FINAL_ASSEMBLY));
  PetscCall(MatPreallocatorPreallocate(preallocator, PETSC_TRUE, A));
  PetscCall(MatDestroy(&preallocator));
  PetscCall(ISCreateGeneral(PETSC_COMM_SELF, ncoo_i, coo_i, PETSC_COPY_VALUES, &is_coo_i));
  PetscCall(ISCreateGeneral(PETSC_COMM_SELF, ncoo_i, coo_j, PETSC_COPY_VALUES, &is_coo_j));
  PetscCall(PetscObjectCompose((PetscObject)A, "__PETSc_coo_i", (PetscObject)is_coo_i));
  PetscCall(PetscObjectCompose((PetscObject)A, "__PETSc_coo_j", (PetscObject)is_coo_j));
  PetscCall(ISDestroy(&is_coo_i));
  PetscCall(ISDestroy(&is_coo_j));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  MatSetPreallocationCOO - set preallocation for matrices using a coordinate format of the entries with global indices

  Collective

  Input Parameters:
+ A     - matrix being preallocated
. ncoo  - number of entries
. coo_i - row indices
- coo_j - column indices

  Level: beginner

  Notes:
  The indices within `coo_i` and `coo_j` may be modified within this function. The caller should not rely on them
  having any specific value after this function returns. The arrays can be freed or reused immediately
  after this function returns.

  Entries can be repeated, see `MatSetValuesCOO()`. Entries with negative row or column indices are allowed
  but will be ignored. The corresponding entries in `MatSetValuesCOO()` will be ignored too. Remote entries
  are allowed and will be properly added or inserted to the matrix, unless the matrix option `MAT_IGNORE_OFF_PROC_ENTRIES`
  is set, in which case remote entries are ignored, or `MAT_NO_OFF_PROC_ENTRIES` is set, in which case an error will be generated.

  If you just want to create a sequential AIJ matrix (`MATSEQAIJ`), and your matrix entries in COO format are unique, you can also use
  `MatCreateSeqAIJFromTriple()`. But that is not recommended for iterative applications.

.seealso: [](ch_matrices), `Mat`, `MatSetValuesCOO()`, `MatSeqAIJSetPreallocation()`, `MatMPIAIJSetPreallocation()`, `MatSeqBAIJSetPreallocation()`,
          `MatMPIBAIJSetPreallocation()`, `MatSeqSBAIJSetPreallocation()`, `MatMPISBAIJSetPreallocation()`, `MatSetPreallocationCOOLocal()`,
          `DMSetMatrixPreallocateSkip()`, `MatCreateSeqAIJFromTriple()`
@*/
PetscErrorCode MatSetPreallocationCOO(Mat A, PetscCount ncoo, PetscInt coo_i[], PetscInt coo_j[])
{
  PetscErrorCode (*f)(Mat, PetscCount, PetscInt[], PetscInt[]) = NULL;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(A, MAT_CLASSID, 1);
  PetscValidType(A, 1);
  if (ncoo) PetscAssertPointer(coo_i, 3);
  if (ncoo) PetscAssertPointer(coo_j, 4);
  PetscCall(PetscLayoutSetUp(A->rmap));
  PetscCall(PetscLayoutSetUp(A->cmap));
  PetscCall(PetscObjectQueryFunction((PetscObject)A, "MatSetPreallocationCOO_C", &f));

  PetscCall(PetscLogEventBegin(MAT_PreallCOO, A, 0, 0, 0));
  if (f) {
    PetscCall((*f)(A, ncoo, coo_i, coo_j));
  } else { /* allow fallback, very slow */
    PetscCall(MatSetPreallocationCOO_Basic(A, ncoo, coo_i, coo_j));
  }
  PetscCall(PetscLogEventEnd(MAT_PreallCOO, A, 0, 0, 0));
  A->preallocated = PETSC_TRUE;
  A->nonzerostate++;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  MatSetPreallocationCOOLocal - set preallocation for matrices using a coordinate format of the entries with local indices

  Collective

  Input Parameters:
+ A     - matrix being preallocated
. ncoo  - number of entries
. coo_i - row indices (local numbering; may be modified)
- coo_j - column indices (local numbering; may be modified)

  Level: beginner

  Notes:
  The local indices are translated using the local to global mapping, thus `MatSetLocalToGlobalMapping()` must have been
  called prior to this function. For matrices created with `DMCreateMatrix()` the local to global mapping is often already provided.

  The indices `coo_i` and `coo_j` may be modified within this function. They might be translated to corresponding global
  indices, but the caller should not rely on them having any specific value after this function returns. The arrays
  can be freed or reused immediately after this function returns.

  Entries can be repeated, see `MatSetValuesCOO()`. Entries with negative row or column indices are allowed
  but will be ignored. The corresponding entries in `MatSetValuesCOO()` will be ignored too. Remote entries
  are allowed and will be properly added or inserted to the matrix.

.seealso: [](ch_matrices), `Mat`, `MatSetValuesCOO()`, `MatSeqAIJSetPreallocation()`, `MatMPIAIJSetPreallocation()`, `MatSeqBAIJSetPreallocation()`,
          `MatMPIBAIJSetPreallocation()`, `MatSeqSBAIJSetPreallocation()`, `MatMPISBAIJSetPreallocation()`, `MatSetPreallocationCOO()`,
          `DMSetMatrixPreallocateSkip()`
@*/
PetscErrorCode MatSetPreallocationCOOLocal(Mat A, PetscCount ncoo, PetscInt coo_i[], PetscInt coo_j[])
{
  PetscErrorCode (*f)(Mat, PetscCount, PetscInt[], PetscInt[]) = NULL;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(A, MAT_CLASSID, 1);
  PetscValidType(A, 1);
  if (ncoo) PetscAssertPointer(coo_i, 3);
  if (ncoo) PetscAssertPointer(coo_j, 4);
  PetscCall(PetscLayoutSetUp(A->rmap));
  PetscCall(PetscLayoutSetUp(A->cmap));

  PetscCall(PetscObjectQueryFunction((PetscObject)A, "MatSetPreallocationCOOLocal_C", &f));
  if (f) {
    PetscCall((*f)(A, ncoo, coo_i, coo_j));
    A->nonzerostate++;
  } else {
    PetscInt               ncoo_i;
    ISLocalToGlobalMapping ltog_row, ltog_col;

    PetscCall(MatGetLocalToGlobalMapping(A, &ltog_row, &ltog_col));
    if (ltog_row) {
      PetscCall(PetscIntCast(ncoo, &ncoo_i));
      PetscCall(ISLocalToGlobalMappingApply(ltog_row, ncoo_i, coo_i, coo_i));
    }
    if (ltog_col) {
      PetscCall(PetscIntCast(ncoo, &ncoo_i));
      PetscCall(ISLocalToGlobalMappingApply(ltog_col, ncoo_i, coo_j, coo_j));
    }
    PetscCall(MatSetPreallocationCOO(A, ncoo, coo_i, coo_j));
  }
  A->preallocated = PETSC_TRUE;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  MatSetValuesCOO - set values at once in a matrix preallocated using `MatSetPreallocationCOO()`

  Collective

  Input Parameters:
+ A     - matrix being preallocated
. coo_v - the matrix values (can be `NULL`)
- imode - the insert mode

  Level: beginner

  Notes:
  The values must follow the order of the indices prescribed with `MatSetPreallocationCOO()` or `MatSetPreallocationCOOLocal()`.

  When repeated entries are specified in the COO indices the `coo_v` values are first properly summed, regardless of the value of imode.
  The imode flag indicates if coo_v must be added to the current values of the matrix (`ADD_VALUES`) or overwritten (`INSERT_VALUES`).

  `MatAssemblyBegin()` and `MatAssemblyEnd()` do not need to be called after this routine. It automatically handles the assembly process.

.seealso: [](ch_matrices), `Mat`, `MatSetPreallocationCOO()`, `MatSetPreallocationCOOLocal()`, `InsertMode`, `INSERT_VALUES`, `ADD_VALUES`
@*/
PetscErrorCode MatSetValuesCOO(Mat A, const PetscScalar coo_v[], InsertMode imode)
{
  PetscErrorCode (*f)(Mat, const PetscScalar[], InsertMode) = NULL;
  PetscBool oldFlg;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(A, MAT_CLASSID, 1);
  PetscValidType(A, 1);
  MatCheckPreallocated(A, 1);
  PetscValidLogicalCollectiveEnum(A, imode, 3);
  PetscCall(PetscObjectQueryFunction((PetscObject)A, "MatSetValuesCOO_C", &f));
  PetscCall(PetscLogEventBegin(MAT_SetVCOO, A, 0, 0, 0));
  if (f) {
    PetscCall((*f)(A, coo_v, imode)); // all known COO implementations do not use MatStash. They do their own off-proc communication
    PetscCall(MatGetOption(A, MAT_NO_OFF_PROC_ENTRIES, &oldFlg));
    PetscCall(MatSetOption(A, MAT_NO_OFF_PROC_ENTRIES, PETSC_TRUE)); // set A->nooffprocentries to avoid costly MatStash scatter in MatAssembly
  } else {
    PetscCall(MatSetValuesCOO_Basic(A, coo_v, imode)); // fall back to MatSetValues, which might use MatStash
  }
  PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
  PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
  if (f) PetscCall(MatSetOption(A, MAT_NO_OFF_PROC_ENTRIES, oldFlg));
  PetscCall(PetscLogEventEnd(MAT_SetVCOO, A, 0, 0, 0));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  MatSetBindingPropagates - Sets whether the state of being bound to the CPU for a GPU matrix type propagates to child and some other associated objects

  Input Parameters:
+ A   - the matrix
- flg - flag indicating whether the boundtocpu flag should be propagated

  Level: developer

  Notes:
  If the value of flg is set to true, the following will occur
+   `MatCreateSubMatrices()` and `MatCreateRedundantMatrix()` - bind created matrices to CPU if the input matrix is bound to the CPU.
-   `MatCreateVecs()` - bind created vectors to CPU if the input matrix is bound to the CPU.

  The bindingpropagates flag itself is also propagated by the above routines.

  Developer Notes:
  If the fine-scale `DMDA` has the `-dm_bind_below` option set to true, then `DMCreateInterpolationScale()` calls `MatSetBindingPropagates()`
  on the restriction/interpolation operator to set the bindingpropagates flag to true.

.seealso: [](ch_matrices), `Mat`, `VecSetBindingPropagates()`, `MatGetBindingPropagates()`
@*/
PetscErrorCode MatSetBindingPropagates(Mat A, PetscBool flg)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(A, MAT_CLASSID, 1);
#if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA) || defined(PETSC_HAVE_HIP)
  A->bindingpropagates = flg;
#endif
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  MatGetBindingPropagates - Gets whether the state of being bound to the CPU for a GPU matrix type propagates to child and some other associated objects

  Input Parameter:
. A - the matrix

  Output Parameter:
. flg - flag indicating whether the boundtocpu flag will be propagated

  Level: developer

.seealso: [](ch_matrices), `Mat`, `MatSetBindingPropagates()`
@*/
PetscErrorCode MatGetBindingPropagates(Mat A, PetscBool *flg)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(A, MAT_CLASSID, 1);
  PetscAssertPointer(flg, 2);
#if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA) || defined(PETSC_HAVE_HIP)
  *flg = A->bindingpropagates;
#else
  *flg = PETSC_FALSE;
#endif
  PetscFunctionReturn(PETSC_SUCCESS);
}