Date: 2026-06-01T23:13:33+00:00

Actual source code: normm.c

      1: #include <../src/mat/impls/shell/shell.h>

      3: typedef struct {
      4:   Mat A;
      5:   Mat D; /* local submatrix for diagonal part */
      6:   Vec w;
      7: } Mat_Normal;

      9: static PetscErrorCode MatIncreaseOverlap_Normal(Mat A, PetscInt is_max, IS is[], PetscInt ov)
     10: {
     11:   Mat_Normal *a;
     12:   Mat         pattern;

     14:   PetscFunctionBegin;
     15:   PetscCheck(ov >= 0, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_OUTOFRANGE, "Negative overlap specified");
     16:   PetscCall(MatShellGetContext(A, &a));
     17:   PetscCall(MatProductCreate(a->A, a->A, NULL, &pattern));
     18:   PetscCall(MatProductSetType(pattern, MATPRODUCT_AtB));
     19:   PetscCall(MatProductSetFromOptions(pattern));
     20:   PetscCall(MatProductSymbolic(pattern));
     21:   PetscCall(MatIncreaseOverlap(pattern, is_max, is, ov));
     22:   PetscCall(MatDestroy(&pattern));
     23:   PetscFunctionReturn(PETSC_SUCCESS);
     24: }

     26: static PetscErrorCode MatCreateSubMatrices_Normal(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
     27: {
     28:   Mat_Normal *a;
     29:   Mat         B, *suba;
     30:   IS         *row;
     31:   PetscScalar shift, scale;
     32:   PetscInt    M;

     34:   PetscFunctionBegin;
     35:   PetscCheck(irow == icol, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Not implemented");
     36:   PetscCall(MatShellGetScalingShifts(mat, &shift, &scale, (Vec *)MAT_SHELL_NOT_ALLOWED, (Vec *)MAT_SHELL_NOT_ALLOWED, (Vec *)MAT_SHELL_NOT_ALLOWED, (Mat *)MAT_SHELL_NOT_ALLOWED, (IS *)MAT_SHELL_NOT_ALLOWED, (IS *)MAT_SHELL_NOT_ALLOWED));
     37:   PetscCall(MatShellGetContext(mat, &a));
     38:   B = a->A;
     39:   if (scall != MAT_REUSE_MATRIX) PetscCall(PetscCalloc1(n, submat));
     40:   PetscCall(MatGetSize(B, &M, NULL));
     41:   PetscCall(PetscMalloc1(n, &row));
     42:   PetscCall(ISCreateStride(PETSC_COMM_SELF, M, 0, 1, &row[0]));
     43:   PetscCall(ISSetIdentity(row[0]));
     44:   for (M = 1; M < n; ++M) row[M] = row[0];
     45:   PetscCall(MatCreateSubMatrices(B, n, row, icol, MAT_INITIAL_MATRIX, &suba));
     46:   for (M = 0; M < n; ++M) {
     47:     PetscCall(MatCreateNormal(suba[M], *submat + M));
     48:     PetscCall(MatShift((*submat)[M], shift));
     49:     PetscCall(MatScale((*submat)[M], scale));
     50:   }
     51:   PetscCall(ISDestroy(&row[0]));
     52:   PetscCall(PetscFree(row));
     53:   PetscCall(MatDestroySubMatrices(n, &suba));
     54:   PetscFunctionReturn(PETSC_SUCCESS);
     55: }

     57: static PetscErrorCode MatPermute_Normal(Mat A, IS rowp, IS colp, Mat *B)
     58: {
     59:   Mat_Normal *a;
     60:   Mat         C, Aa;
     61:   IS          row;
     62:   PetscScalar shift, scale;

     64:   PetscFunctionBegin;
     65:   PetscCheck(rowp == colp, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_INCOMP, "Row permutation and column permutation must be the same");
     66:   PetscCall(MatShellGetScalingShifts(A, &shift, &scale, (Vec *)MAT_SHELL_NOT_ALLOWED, (Vec *)MAT_SHELL_NOT_ALLOWED, (Vec *)MAT_SHELL_NOT_ALLOWED, (Mat *)MAT_SHELL_NOT_ALLOWED, (IS *)MAT_SHELL_NOT_ALLOWED, (IS *)MAT_SHELL_NOT_ALLOWED));
     67:   PetscCall(MatShellGetContext(A, &a));
     68:   Aa = a->A;
     69:   PetscCall(ISCreateStride(PetscObjectComm((PetscObject)Aa), Aa->rmap->n, Aa->rmap->rstart, 1, &row));
     70:   PetscCall(ISSetIdentity(row));
     71:   PetscCall(MatPermute(Aa, row, colp, &C));
     72:   PetscCall(ISDestroy(&row));
     73:   PetscCall(MatCreateNormal(C, B));
     74:   PetscCall(MatDestroy(&C));
     75:   PetscCall(MatShift(*B, shift));
     76:   PetscCall(MatScale(*B, scale));
     77:   PetscFunctionReturn(PETSC_SUCCESS);
     78: }

     80: static PetscErrorCode MatDuplicate_Normal(Mat A, MatDuplicateOption op, Mat *B)
     81: {
     82:   Mat_Normal *a;
     83:   Mat         C;

     85:   PetscFunctionBegin;
     86:   PetscCall(MatShellGetContext(A, &a));
     87:   PetscCall(MatDuplicate(a->A, op, &C));
     88:   PetscCall(MatCreateNormal(C, B));
     89:   PetscCall(MatDestroy(&C));
     90:   if (op == MAT_COPY_VALUES) PetscCall(MatCopy(A, *B, SAME_NONZERO_PATTERN));
     91:   PetscFunctionReturn(PETSC_SUCCESS);
     92: }

     94: static PetscErrorCode MatCopy_Normal(Mat A, Mat B, MatStructure str)
     95: {
     96:   Mat_Normal *a, *b;

     98:   PetscFunctionBegin;
     99:   PetscCall(MatShellGetContext(A, &a));
    100:   PetscCall(MatShellGetContext(B, &b));
    101:   PetscCall(MatCopy(a->A, b->A, str));
    102:   PetscFunctionReturn(PETSC_SUCCESS);
    103: }

    105: static PetscErrorCode MatMult_Normal(Mat N, Vec x, Vec y)
    106: {
    107:   Mat_Normal *Na;

    109:   PetscFunctionBegin;
    110:   PetscCall(MatShellGetContext(N, &Na));
    111:   PetscCall(MatMult(Na->A, x, Na->w));
    112:   PetscCall(MatMultTranspose(Na->A, Na->w, y));
    113:   PetscFunctionReturn(PETSC_SUCCESS);
    114: }

    116: static PetscErrorCode MatDestroy_Normal(Mat N)
    117: {
    118:   Mat_Normal *Na;

    120:   PetscFunctionBegin;
    121:   PetscCall(MatShellGetContext(N, &Na));
    122:   PetscCall(MatDestroy(&Na->A));
    123:   PetscCall(MatDestroy(&Na->D));
    124:   PetscCall(VecDestroy(&Na->w));
    125:   PetscCall(PetscFree(Na));
    126:   PetscCall(PetscObjectComposeFunction((PetscObject)N, "MatNormalGetMat_C", NULL));
    127:   PetscCall(PetscObjectComposeFunction((PetscObject)N, "MatConvert_normal_seqaij_C", NULL));
    128:   PetscCall(PetscObjectComposeFunction((PetscObject)N, "MatConvert_normal_mpiaij_C", NULL));
    129: #if defined(PETSC_HAVE_HYPRE)
    130:   PetscCall(PetscObjectComposeFunction((PetscObject)N, "MatConvert_normal_hypre_C", NULL));
    131: #endif
    132:   PetscCall(PetscObjectComposeFunction((PetscObject)N, "MatProductSetFromOptions_normal_seqdense_C", NULL));
    133:   PetscCall(PetscObjectComposeFunction((PetscObject)N, "MatProductSetFromOptions_normal_mpidense_C", NULL));
    134:   PetscCall(PetscObjectComposeFunction((PetscObject)N, "MatShellSetContext_C", NULL));
    135:   PetscFunctionReturn(PETSC_SUCCESS);
    136: }

    138: /*
    139:       Slow, nonscalable version
    140: */
    141: static PetscErrorCode MatGetDiagonal_Normal(Mat N, Vec v)
    142: {
    143:   Mat_Normal        *Na;
    144:   Mat                A;
    145:   PetscInt           i, j, rstart, rend, nnz;
    146:   const PetscInt    *cols;
    147:   PetscScalar       *work, *values;
    148:   const PetscScalar *mvalues;

    150:   PetscFunctionBegin;
    151:   PetscCall(MatShellGetContext(N, &Na));
    152:   A = Na->A;
    153:   PetscCall(PetscMalloc1(A->cmap->N, &work));
    154:   PetscCall(PetscArrayzero(work, A->cmap->N));
    155:   PetscCall(MatGetOwnershipRange(A, &rstart, &rend));
    156:   for (i = rstart; i < rend; i++) {
    157:     PetscCall(MatGetRow(A, i, &nnz, &cols, &mvalues));
    158:     for (j = 0; j < nnz; j++) work[cols[j]] += mvalues[j] * mvalues[j];
    159:     PetscCall(MatRestoreRow(A, i, &nnz, &cols, &mvalues));
    160:   }
    161:   PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, work, A->cmap->N, MPIU_SCALAR, MPIU_SUM, PetscObjectComm((PetscObject)N)));
    162:   rstart = N->cmap->rstart;
    163:   rend   = N->cmap->rend;
    164:   PetscCall(VecGetArray(v, &values));
    165:   PetscCall(PetscArraycpy(values, work + rstart, rend - rstart));
    166:   PetscCall(VecRestoreArray(v, &values));
    167:   PetscCall(PetscFree(work));
    168:   PetscFunctionReturn(PETSC_SUCCESS);
    169: }

    171: static PetscErrorCode MatGetDiagonalBlock_Normal(Mat N, Mat *D)
    172: {
    173:   Mat_Normal *Na;
    174:   Mat         M, A;

    176:   PetscFunctionBegin;
    177:   PetscCall(MatShellGetContext(N, &Na));
    178:   A = Na->A;
    179:   PetscCall(MatGetDiagonalBlock(A, &M));
    180:   PetscCall(MatCreateNormal(M, &Na->D));
    181:   *D = Na->D;
    182:   PetscFunctionReturn(PETSC_SUCCESS);
    183: }

    185: static PetscErrorCode MatNormalGetMat_Normal(Mat A, Mat *M)
    186: {
    187:   Mat_Normal *Aa;

    189:   PetscFunctionBegin;
    190:   PetscCall(MatShellGetContext(A, &Aa));
    191:   *M = Aa->A;
    192:   PetscFunctionReturn(PETSC_SUCCESS);
    193: }

    195: /*@
    196:   MatNormalGetMat - Gets the `Mat` object stored inside a `MATNORMAL`

    198:   Logically Collective

    200:   Input Parameter:
    201: . A - the `MATNORMAL` matrix

    203:   Output Parameter:
    204: . M - the matrix object stored inside `A`

    206:   Level: intermediate

    208: .seealso: [](ch_matrices), `Mat`, `MATNORMAL`, `MATNORMALHERMITIAN`, `MatCreateNormal()`
    209: @*/
    210: PetscErrorCode MatNormalGetMat(Mat A, Mat *M)
    211: {
    212:   PetscFunctionBegin;
    215:   PetscAssertPointer(M, 2);
    216:   PetscUseMethod(A, "MatNormalGetMat_C", (Mat, Mat *), (A, M));
    217:   PetscFunctionReturn(PETSC_SUCCESS);
    218: }

    220: static PetscErrorCode MatConvert_Normal_AIJ(Mat A, MatType newtype, MatReuse reuse, Mat *newmat)
    221: {
    222:   Mat_Normal *Aa;
    223:   Mat         B;
    224:   Vec         left, right, dshift;
    225:   PetscScalar scale, shift;
    226:   PetscInt    m, n, M, N;

    228:   PetscFunctionBegin;
    229:   PetscCall(MatShellGetContext(A, &Aa));
    230:   PetscCall(MatShellGetScalingShifts(A, &shift, &scale, &dshift, &left, &right, (Mat *)MAT_SHELL_NOT_ALLOWED, (IS *)MAT_SHELL_NOT_ALLOWED, (IS *)MAT_SHELL_NOT_ALLOWED));
    231:   PetscCall(MatGetSize(A, &M, &N));
    232:   PetscCall(MatGetLocalSize(A, &m, &n));
    233:   if (reuse == MAT_REUSE_MATRIX) {
    234:     B = *newmat;
    235:     PetscCall(MatProductReplaceMats(Aa->A, Aa->A, NULL, B));
    236:   } else {
    237:     PetscCall(MatProductCreate(Aa->A, Aa->A, NULL, &B));
    238:     PetscCall(MatProductSetType(B, MATPRODUCT_AtB));
    239:     PetscCall(MatProductSetFromOptions(B));
    240:     PetscCall(MatProductSymbolic(B));
    241:     PetscCall(MatSetOption(B, MAT_SYMMETRIC, PETSC_TRUE));
    242:   }
    243:   PetscCall(MatProductNumeric(B));
    244:   if (reuse == MAT_INPLACE_MATRIX) PetscCall(MatHeaderReplace(A, &B));
    245:   else if (reuse == MAT_INITIAL_MATRIX) *newmat = B;
    246:   PetscCall(MatConvert(*newmat, MATAIJ, MAT_INPLACE_MATRIX, newmat));
    247:   PetscCall(MatDiagonalScale(*newmat, left, right));
    248:   PetscCall(MatScale(*newmat, scale));
    249:   PetscCall(MatShift(*newmat, shift));
    250:   if (dshift) PetscCall(MatDiagonalSet(*newmat, dshift, ADD_VALUES));
    251:   PetscFunctionReturn(PETSC_SUCCESS);
    252: }

    254: #if defined(PETSC_HAVE_HYPRE)
    255: static PetscErrorCode MatConvert_Normal_HYPRE(Mat A, MatType type, MatReuse reuse, Mat *B)
    256: {
    257:   PetscFunctionBegin;
    258:   if (reuse == MAT_INITIAL_MATRIX) {
    259:     PetscCall(MatConvert(A, MATAIJ, reuse, B));
    260:     PetscCall(MatConvert(*B, type, MAT_INPLACE_MATRIX, B));
    261:   } else PetscCall(MatConvert_Basic(A, type, reuse, B)); /* fall back to basic convert */
    262:   PetscFunctionReturn(PETSC_SUCCESS);
    263: }
    264: #endif

    266: typedef struct {
    267:   Mat work[2];
    268: } Normal_Dense;

    270: static PetscErrorCode MatProductNumeric_Normal_Dense(Mat C)
    271: {
    272:   Mat           A, B;
    273:   Normal_Dense *contents;
    274:   Mat_Normal   *a;
    275:   Vec           right;
    276:   PetscScalar  *array, scale;

    278:   PetscFunctionBegin;
    279:   MatCheckProduct(C, 1);
    280:   A = C->product->A;
    281:   B = C->product->B;
    282:   PetscCall(MatShellGetContext(A, &a));
    283:   contents = (Normal_Dense *)C->product->data;
    284:   PetscCheck(contents, PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "Product data empty");
    285:   PetscCall(MatShellGetScalingShifts(A, (PetscScalar *)MAT_SHELL_NOT_ALLOWED, &scale, (Vec *)MAT_SHELL_NOT_ALLOWED, (Vec *)MAT_SHELL_NOT_ALLOWED, &right, (Mat *)MAT_SHELL_NOT_ALLOWED, (IS *)MAT_SHELL_NOT_ALLOWED, (IS *)MAT_SHELL_NOT_ALLOWED));
    286:   if (right) {
    287:     PetscCall(MatCopy(B, C, SAME_NONZERO_PATTERN));
    288:     PetscCall(MatDiagonalScale(C, right, NULL));
    289:   }
    290:   PetscCall(MatProductNumeric(contents->work[0]));
    291:   PetscCall(MatDenseGetArrayWrite(C, &array));
    292:   PetscCall(MatDensePlaceArray(contents->work[1], array));
    293:   PetscCall(MatProductNumeric(contents->work[1]));
    294:   PetscCall(MatDenseRestoreArrayWrite(C, &array));
    295:   PetscCall(MatDenseResetArray(contents->work[1]));
    296:   PetscCall(MatSetOption(C, MAT_NO_OFF_PROC_ENTRIES, PETSC_TRUE));
    297:   PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
    298:   PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
    299:   PetscCall(MatScale(C, scale));
    300:   PetscFunctionReturn(PETSC_SUCCESS);
    301: }

    303: static PetscErrorCode MatNormal_DenseDestroy(PetscCtxRt ctx)
    304: {
    305:   Normal_Dense *contents = *(Normal_Dense **)ctx;

    307:   PetscFunctionBegin;
    308:   PetscCall(MatDestroy(contents->work));
    309:   PetscCall(MatDestroy(contents->work + 1));
    310:   PetscCall(PetscFree(contents));
    311:   PetscFunctionReturn(PETSC_SUCCESS);
    312: }

    314: static PetscErrorCode MatProductSymbolic_Normal_Dense(Mat C)
    315: {
    316:   Mat           A, B;
    317:   Normal_Dense *contents = NULL;
    318:   Mat_Normal   *a;
    319:   Vec           right;
    320:   PetscScalar  *array, scale;
    321:   PetscInt      n, N, m, M;

    323:   PetscFunctionBegin;
    324:   MatCheckProduct(C, 1);
    325:   PetscCheck(!C->product->data, PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "Product data not empty");
    326:   A = C->product->A;
    327:   B = C->product->B;
    328:   PetscCall(MatShellGetScalingShifts(A, (PetscScalar *)MAT_SHELL_NOT_ALLOWED, &scale, (Vec *)MAT_SHELL_NOT_ALLOWED, (Vec *)MAT_SHELL_NOT_ALLOWED, &right, (Mat *)MAT_SHELL_NOT_ALLOWED, (IS *)MAT_SHELL_NOT_ALLOWED, (IS *)MAT_SHELL_NOT_ALLOWED));
    329:   PetscCall(MatShellGetContext(A, &a));
    330:   PetscCall(MatGetLocalSize(C, &m, &n));
    331:   PetscCall(MatGetSize(C, &M, &N));
    332:   if (m == PETSC_DECIDE || n == PETSC_DECIDE || M == PETSC_DECIDE || N == PETSC_DECIDE) {
    333:     PetscCall(MatGetLocalSize(B, NULL, &n));
    334:     PetscCall(MatGetSize(B, NULL, &N));
    335:     PetscCall(MatGetLocalSize(A, &m, NULL));
    336:     PetscCall(MatGetSize(A, &M, NULL));
    337:     PetscCall(MatSetSizes(C, m, n, M, N));
    338:   }
    339:   PetscCall(MatSetType(C, ((PetscObject)B)->type_name));
    340:   PetscCall(MatSetUp(C));
    341:   PetscCall(PetscNew(&contents));
    342:   C->product->data    = contents;
    343:   C->product->destroy = MatNormal_DenseDestroy;
    344:   if (right) PetscCall(MatProductCreate(a->A, C, NULL, contents->work));
    345:   else PetscCall(MatProductCreate(a->A, B, NULL, contents->work));
    346:   PetscCall(MatProductSetType(contents->work[0], MATPRODUCT_AB));
    347:   PetscCall(MatProductSetFromOptions(contents->work[0]));
    348:   PetscCall(MatProductSymbolic(contents->work[0]));
    349:   PetscCall(MatProductCreate(a->A, contents->work[0], NULL, contents->work + 1));
    350:   PetscCall(MatProductSetType(contents->work[1], MATPRODUCT_AtB));
    351:   PetscCall(MatProductSetFromOptions(contents->work[1]));
    352:   PetscCall(MatProductSymbolic(contents->work[1]));
    353:   PetscCall(MatDenseGetArrayWrite(C, &array));
    354:   PetscCall(MatSeqDenseSetPreallocation(contents->work[1], array));
    355:   PetscCall(MatMPIDenseSetPreallocation(contents->work[1], array));
    356:   PetscCall(MatDenseRestoreArrayWrite(C, &array));
    357:   C->ops->productnumeric = MatProductNumeric_Normal_Dense;
    358:   PetscFunctionReturn(PETSC_SUCCESS);
    359: }

    361: static PetscErrorCode MatProductSetFromOptions_Normal_Dense(Mat C)
    362: {
    363:   Mat_Product *product = C->product;

    365:   PetscFunctionBegin;
    366:   if (product->type == MATPRODUCT_AB) C->ops->productsymbolic = MatProductSymbolic_Normal_Dense;
    367:   PetscFunctionReturn(PETSC_SUCCESS);
    368: }

    370: /*MC
    371:   MATNORMAL - a matrix that behaves like A'*A for `MatMult()` while only containing A

    373:   Level: intermediate

    375:   Developer Notes:
    376:   This is implemented on top of `MATSHELL` to get support for scaling and shifting without requiring duplicate code

    378:   Users can not call `MatShellSetOperation()` operations on this class, there is some error checking for that incorrect usage

    380: .seealso: [](ch_matrices), `Mat`, `MatCreateNormal()`, `MatMult()`, `MatNormalGetMat()`, `MATNORMALHERMITIAN`, `MatCreateNormalHermitian()`
    381: M*/

    383: /*@
    384:   MatCreateNormal - Creates a new `MATNORMAL` matrix object that behaves like $A^T A$.

    386:   Collective

    388:   Input Parameter:
    389: . A - the (possibly rectangular) matrix

    391:   Output Parameter:
    392: . N - the matrix that represents $A^T A $

    394:   Level: intermediate

    396:   Notes:
    397:   The product $A^T A$ is NOT actually formed! Rather the new matrix
    398:   object performs the matrix-vector product, `MatMult()`, by first multiplying by
    399:   $A$ and then $A^T$

    401:   If `MatGetFactor()` is called on this matrix with `MAT_FACTOR_QR` then the inner matrix `A` is used for the factorization

    403: .seealso: [](ch_matrices), `Mat`, `MATNORMAL`, `MatMult()`, `MatNormalGetMat()`, `MATNORMALHERMITIAN`, `MatCreateNormalHermitian()`
    404: @*/
    405: PetscErrorCode MatCreateNormal(Mat A, Mat *N)
    406: {
    407:   Mat_Normal *Na;
    408:   VecType     vtype;

    410:   PetscFunctionBegin;
    411:   PetscCall(MatCreate(PetscObjectComm((PetscObject)A), N));
    412:   PetscCall(PetscLayoutReference(A->cmap, &(*N)->rmap));
    413:   PetscCall(PetscLayoutReference(A->cmap, &(*N)->cmap));
    414:   PetscCall(MatSetType(*N, MATSHELL));
    415:   PetscCall(PetscNew(&Na));
    416:   PetscCall(MatShellSetContext(*N, Na));
    417:   PetscCall(PetscObjectReference((PetscObject)A));
    418:   Na->A = A;
    419:   PetscCall(MatCreateVecs(A, NULL, &Na->w));

    421:   PetscCall(MatSetBlockSize(*N, A->cmap->bs));
    422:   PetscCall(MatShellSetOperation(*N, MATOP_DESTROY, (PetscErrorCodeFn *)MatDestroy_Normal));
    423:   PetscCall(MatShellSetOperation(*N, MATOP_MULT, (PetscErrorCodeFn *)MatMult_Normal));
    424:   PetscCall(MatShellSetOperation(*N, MATOP_MULT_TRANSPOSE, (PetscErrorCodeFn *)MatMult_Normal));
    425:   PetscCall(MatShellSetOperation(*N, MATOP_DUPLICATE, (PetscErrorCodeFn *)MatDuplicate_Normal));
    426:   PetscCall(MatShellSetOperation(*N, MATOP_GET_DIAGONAL, (PetscErrorCodeFn *)MatGetDiagonal_Normal));
    427:   PetscCall(MatShellSetOperation(*N, MATOP_GET_DIAGONAL_BLOCK, (PetscErrorCodeFn *)MatGetDiagonalBlock_Normal));
    428:   PetscCall(MatShellSetOperation(*N, MATOP_COPY, (PetscErrorCodeFn *)MatCopy_Normal));
    429:   (*N)->ops->increaseoverlap   = MatIncreaseOverlap_Normal;
    430:   (*N)->ops->createsubmatrices = MatCreateSubMatrices_Normal;
    431:   (*N)->ops->permute           = MatPermute_Normal;

    433:   PetscCall(PetscObjectComposeFunction((PetscObject)*N, "MatNormalGetMat_C", MatNormalGetMat_Normal));
    434:   PetscCall(PetscObjectComposeFunction((PetscObject)*N, "MatConvert_normal_seqaij_C", MatConvert_Normal_AIJ));
    435:   PetscCall(PetscObjectComposeFunction((PetscObject)*N, "MatConvert_normal_mpiaij_C", MatConvert_Normal_AIJ));
    436: #if defined(PETSC_HAVE_HYPRE)
    437:   PetscCall(PetscObjectComposeFunction((PetscObject)*N, "MatConvert_normal_hypre_C", MatConvert_Normal_HYPRE));
    438: #endif
    439:   PetscCall(PetscObjectComposeFunction((PetscObject)*N, "MatProductSetFromOptions_normal_seqdense_C", MatProductSetFromOptions_Normal_Dense));
    440:   PetscCall(PetscObjectComposeFunction((PetscObject)*N, "MatProductSetFromOptions_normal_mpidense_C", MatProductSetFromOptions_Normal_Dense));
    441:   PetscCall(PetscObjectComposeFunction((PetscObject)*N, "MatShellSetContext_C", MatShellSetContext_Immutable));
    442:   PetscCall(PetscObjectComposeFunction((PetscObject)*N, "MatShellSetContextDestroy_C", MatShellSetContextDestroy_Immutable));
    443:   PetscCall(PetscObjectComposeFunction((PetscObject)*N, "MatShellSetManageScalingShifts_C", MatShellSetManageScalingShifts_Immutable));
    444:   PetscCall(MatSetOption(*N, MAT_SYMMETRIC, PETSC_TRUE));
    445:   PetscCall(MatGetVecType(A, &vtype));
    446:   PetscCall(MatSetVecType(*N, vtype));
    447: #if defined(PETSC_HAVE_DEVICE)
    448:   PetscCall(MatBindToCPU(*N, A->boundtocpu));
    449: #endif
    450:   PetscCall(MatSetUp(*N));
    451:   PetscCall(PetscObjectChangeTypeName((PetscObject)*N, MATNORMAL));
    452:   PetscFunctionReturn(PETSC_SUCCESS);
    453: }