Date: 2025-03-29T05:58:35+00:00

Actual source code: sbaij.c

      1: /*
      2:     Defines the basic matrix operations for the SBAIJ (compressed row)
      3:   matrix storage format.
      4: */
      5: #include <../src/mat/impls/baij/seq/baij.h>
      6: #include <../src/mat/impls/sbaij/seq/sbaij.h>
      7: #include <petscblaslapack.h>

      9: #include <../src/mat/impls/sbaij/seq/relax.h>
     10: #define USESHORT
     11: #include <../src/mat/impls/sbaij/seq/relax.h>

     13: /* defines MatSetValues_Seq_Hash(), MatAssemblyEnd_Seq_Hash(), MatSetUp_Seq_Hash() */
     14: #define TYPE SBAIJ
     15: #define TYPE_SBAIJ
     16: #define TYPE_BS
     17: #include "../src/mat/impls/aij/seq/seqhashmatsetvalues.h"
     18: #undef TYPE_BS
     19: #define TYPE_BS _BS
     20: #define TYPE_BS_ON
     21: #include "../src/mat/impls/aij/seq/seqhashmatsetvalues.h"
     22: #undef TYPE_BS
     23: #undef TYPE_SBAIJ
     24: #include "../src/mat/impls/aij/seq/seqhashmat.h"
     25: #undef TYPE
     26: #undef TYPE_BS_ON

     28: #if defined(PETSC_HAVE_ELEMENTAL)
     29: PETSC_INTERN PetscErrorCode MatConvert_SeqSBAIJ_Elemental(Mat, MatType, MatReuse, Mat *);
     30: #endif
     31: #if defined(PETSC_HAVE_SCALAPACK)
     32: PETSC_INTERN PetscErrorCode MatConvert_SBAIJ_ScaLAPACK(Mat, MatType, MatReuse, Mat *);
     33: #endif
     34: PETSC_INTERN PetscErrorCode MatConvert_MPISBAIJ_Basic(Mat, MatType, MatReuse, Mat *);

     36: /*
     37:      Checks for missing diagonals
     38: */
     39: static PetscErrorCode MatMissingDiagonal_SeqSBAIJ(Mat A, PetscBool *missing, PetscInt *dd)
     40: {
     41:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
     42:   PetscInt     *diag, *ii = a->i, i;

     44:   PetscFunctionBegin;
     45:   PetscCall(MatMarkDiagonal_SeqSBAIJ(A));
     46:   *missing = PETSC_FALSE;
     47:   if (A->rmap->n > 0 && !ii) {
     48:     *missing = PETSC_TRUE;
     49:     if (dd) *dd = 0;
     50:     PetscCall(PetscInfo(A, "Matrix has no entries therefore is missing diagonal\n"));
     51:   } else {
     52:     diag = a->diag;
     53:     for (i = 0; i < a->mbs; i++) {
     54:       if (diag[i] >= ii[i + 1]) {
     55:         *missing = PETSC_TRUE;
     56:         if (dd) *dd = i;
     57:         break;
     58:       }
     59:     }
     60:   }
     61:   PetscFunctionReturn(PETSC_SUCCESS);
     62: }

     64: PetscErrorCode MatMarkDiagonal_SeqSBAIJ(Mat A)
     65: {
     66:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
     67:   PetscInt      i, j;

     69:   PetscFunctionBegin;
     70:   if (!a->diag) {
     71:     PetscCall(PetscMalloc1(a->mbs, &a->diag));
     72:     a->free_diag = PETSC_TRUE;
     73:   }
     74:   for (i = 0; i < a->mbs; i++) {
     75:     a->diag[i] = a->i[i + 1];
     76:     for (j = a->i[i]; j < a->i[i + 1]; j++) {
     77:       if (a->j[j] == i) {
     78:         a->diag[i] = j;
     79:         break;
     80:       }
     81:     }
     82:   }
     83:   PetscFunctionReturn(PETSC_SUCCESS);
     84: }

     86: static PetscErrorCode MatGetRowIJ_SeqSBAIJ(Mat A, PetscInt oshift, PetscBool symmetric, PetscBool blockcompressed, PetscInt *nn, const PetscInt *inia[], const PetscInt *inja[], PetscBool *done)
     87: {
     88:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
     89:   PetscInt      i, j, n = a->mbs, nz = a->i[n], *tia, *tja, bs = A->rmap->bs, k, l, cnt;
     90:   PetscInt    **ia = (PetscInt **)inia, **ja = (PetscInt **)inja;

     92:   PetscFunctionBegin;
     93:   *nn = n;
     94:   if (!ia) PetscFunctionReturn(PETSC_SUCCESS);
     95:   if (symmetric) {
     96:     PetscCall(MatToSymmetricIJ_SeqAIJ(n, a->i, a->j, PETSC_FALSE, 0, 0, &tia, &tja));
     97:     nz = tia[n];
     98:   } else {
     99:     tia = a->i;
    100:     tja = a->j;
    101:   }

    103:   if (!blockcompressed && bs > 1) {
    104:     (*nn) *= bs;
    105:     /* malloc & create the natural set of indices */
    106:     PetscCall(PetscMalloc1((n + 1) * bs, ia));
    107:     if (n) {
    108:       (*ia)[0] = oshift;
    109:       for (j = 1; j < bs; j++) (*ia)[j] = (tia[1] - tia[0]) * bs + (*ia)[j - 1];
    110:     }

    112:     for (i = 1; i < n; i++) {
    113:       (*ia)[i * bs] = (tia[i] - tia[i - 1]) * bs + (*ia)[i * bs - 1];
    114:       for (j = 1; j < bs; j++) (*ia)[i * bs + j] = (tia[i + 1] - tia[i]) * bs + (*ia)[i * bs + j - 1];
    115:     }
    116:     if (n) (*ia)[n * bs] = (tia[n] - tia[n - 1]) * bs + (*ia)[n * bs - 1];

    118:     if (inja) {
    119:       PetscCall(PetscMalloc1(nz * bs * bs, ja));
    120:       cnt = 0;
    121:       for (i = 0; i < n; i++) {
    122:         for (j = 0; j < bs; j++) {
    123:           for (k = tia[i]; k < tia[i + 1]; k++) {
    124:             for (l = 0; l < bs; l++) (*ja)[cnt++] = bs * tja[k] + l;
    125:           }
    126:         }
    127:       }
    128:     }

    130:     if (symmetric) { /* deallocate memory allocated in MatToSymmetricIJ_SeqAIJ() */
    131:       PetscCall(PetscFree(tia));
    132:       PetscCall(PetscFree(tja));
    133:     }
    134:   } else if (oshift == 1) {
    135:     if (symmetric) {
    136:       nz = tia[A->rmap->n / bs];
    137:       /*  add 1 to i and j indices */
    138:       for (i = 0; i < A->rmap->n / bs + 1; i++) tia[i] = tia[i] + 1;
    139:       *ia = tia;
    140:       if (ja) {
    141:         for (i = 0; i < nz; i++) tja[i] = tja[i] + 1;
    142:         *ja = tja;
    143:       }
    144:     } else {
    145:       nz = a->i[A->rmap->n / bs];
    146:       /* malloc space and  add 1 to i and j indices */
    147:       PetscCall(PetscMalloc1(A->rmap->n / bs + 1, ia));
    148:       for (i = 0; i < A->rmap->n / bs + 1; i++) (*ia)[i] = a->i[i] + 1;
    149:       if (ja) {
    150:         PetscCall(PetscMalloc1(nz, ja));
    151:         for (i = 0; i < nz; i++) (*ja)[i] = a->j[i] + 1;
    152:       }
    153:     }
    154:   } else {
    155:     *ia = tia;
    156:     if (ja) *ja = tja;
    157:   }
    158:   PetscFunctionReturn(PETSC_SUCCESS);
    159: }

    161: static PetscErrorCode MatRestoreRowIJ_SeqSBAIJ(Mat A, PetscInt oshift, PetscBool symmetric, PetscBool blockcompressed, PetscInt *nn, const PetscInt *ia[], const PetscInt *ja[], PetscBool *done)
    162: {
    163:   PetscFunctionBegin;
    164:   if (!ia) PetscFunctionReturn(PETSC_SUCCESS);
    165:   if ((!blockcompressed && A->rmap->bs > 1) || (symmetric || oshift == 1)) {
    166:     PetscCall(PetscFree(*ia));
    167:     if (ja) PetscCall(PetscFree(*ja));
    168:   }
    169:   PetscFunctionReturn(PETSC_SUCCESS);
    170: }

    172: PetscErrorCode MatDestroy_SeqSBAIJ(Mat A)
    173: {
    174:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;

    176:   PetscFunctionBegin;
    177:   if (A->hash_active) {
    178:     PetscInt bs;
    179:     A->ops[0] = a->cops;
    180:     PetscCall(PetscHMapIJVDestroy(&a->ht));
    181:     PetscCall(MatGetBlockSize(A, &bs));
    182:     if (bs > 1) PetscCall(PetscHSetIJDestroy(&a->bht));
    183:     PetscCall(PetscFree(a->dnz));
    184:     PetscCall(PetscFree(a->bdnz));
    185:     A->hash_active = PETSC_FALSE;
    186:   }
    187:   PetscCall(PetscLogObjectState((PetscObject)A, "Rows=%" PetscInt_FMT ", NZ=%" PetscInt_FMT, A->rmap->N, a->nz));
    188:   PetscCall(MatSeqXAIJFreeAIJ(A, &a->a, &a->j, &a->i));
    189:   if (a->free_diag) PetscCall(PetscFree(a->diag));
    190:   PetscCall(ISDestroy(&a->row));
    191:   PetscCall(ISDestroy(&a->col));
    192:   PetscCall(ISDestroy(&a->icol));
    193:   PetscCall(PetscFree(a->idiag));
    194:   PetscCall(PetscFree(a->inode.size));
    195:   if (a->free_imax_ilen) PetscCall(PetscFree2(a->imax, a->ilen));
    196:   PetscCall(PetscFree(a->solve_work));
    197:   PetscCall(PetscFree(a->sor_work));
    198:   PetscCall(PetscFree(a->solves_work));
    199:   PetscCall(PetscFree(a->mult_work));
    200:   PetscCall(PetscFree(a->saved_values));
    201:   if (a->free_jshort) PetscCall(PetscFree(a->jshort));
    202:   PetscCall(PetscFree(a->inew));
    203:   PetscCall(MatDestroy(&a->parent));
    204:   PetscCall(PetscFree(A->data));

    206:   PetscCall(PetscObjectChangeTypeName((PetscObject)A, NULL));
    207:   PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatSeqSBAIJGetArray_C", NULL));
    208:   PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatSeqSBAIJRestoreArray_C", NULL));
    209:   PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatStoreValues_C", NULL));
    210:   PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatRetrieveValues_C", NULL));
    211:   PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatSeqSBAIJSetColumnIndices_C", NULL));
    212:   PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqsbaij_seqaij_C", NULL));
    213:   PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqsbaij_seqbaij_C", NULL));
    214:   PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatSeqSBAIJSetPreallocation_C", NULL));
    215:   PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatSeqSBAIJSetPreallocationCSR_C", NULL));
    216: #if defined(PETSC_HAVE_ELEMENTAL)
    217:   PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqsbaij_elemental_C", NULL));
    218: #endif
    219: #if defined(PETSC_HAVE_SCALAPACK)
    220:   PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqsbaij_scalapack_C", NULL));
    221: #endif
    222:   PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatFactorGetSolverType_C", NULL));
    223:   PetscFunctionReturn(PETSC_SUCCESS);
    224: }

    226: static PetscErrorCode MatSetOption_SeqSBAIJ(Mat A, MatOption op, PetscBool flg)
    227: {
    228:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
    229: #if defined(PETSC_USE_COMPLEX)
    230:   PetscInt bs;
    231: #endif

    233:   PetscFunctionBegin;
    234: #if defined(PETSC_USE_COMPLEX)
    235:   PetscCall(MatGetBlockSize(A, &bs));
    236: #endif
    237:   switch (op) {
    238:   case MAT_ROW_ORIENTED:
    239:     a->roworiented = flg;
    240:     break;
    241:   case MAT_KEEP_NONZERO_PATTERN:
    242:     a->keepnonzeropattern = flg;
    243:     break;
    244:   case MAT_NEW_NONZERO_LOCATIONS:
    245:     a->nonew = (flg ? 0 : 1);
    246:     break;
    247:   case MAT_NEW_NONZERO_LOCATION_ERR:
    248:     a->nonew = (flg ? -1 : 0);
    249:     break;
    250:   case MAT_NEW_NONZERO_ALLOCATION_ERR:
    251:     a->nonew = (flg ? -2 : 0);
    252:     break;
    253:   case MAT_UNUSED_NONZERO_LOCATION_ERR:
    254:     a->nounused = (flg ? -1 : 0);
    255:     break;
    256:   case MAT_HERMITIAN:
    257: #if defined(PETSC_USE_COMPLEX)
    258:     if (flg) { /* disable transpose ops */
    259:       PetscCheck(bs <= 1, PETSC_COMM_SELF, PETSC_ERR_SUP, "No support for Hermitian with block size greater than 1");
    260:       A->ops->multtranspose    = NULL;
    261:       A->ops->multtransposeadd = NULL;
    262:       A->symmetric             = PETSC_BOOL3_FALSE;
    263:     }
    264: #endif
    265:     break;
    266:   case MAT_SYMMETRIC:
    267:   case MAT_SPD:
    268: #if defined(PETSC_USE_COMPLEX)
    269:     if (flg) { /* An hermitian and symmetric matrix has zero imaginary part (restore back transpose ops) */
    270:       A->ops->multtranspose    = A->ops->mult;
    271:       A->ops->multtransposeadd = A->ops->multadd;
    272:     }
    273: #endif
    274:     break;
    275:   case MAT_IGNORE_LOWER_TRIANGULAR:
    276:     a->ignore_ltriangular = flg;
    277:     break;
    278:   case MAT_ERROR_LOWER_TRIANGULAR:
    279:     a->ignore_ltriangular = flg;
    280:     break;
    281:   case MAT_GETROW_UPPERTRIANGULAR:
    282:     a->getrow_utriangular = flg;
    283:     break;
    284:   default:
    285:     break;
    286:   }
    287:   PetscFunctionReturn(PETSC_SUCCESS);
    288: }

    290: PetscErrorCode MatGetRow_SeqSBAIJ(Mat A, PetscInt row, PetscInt *nz, PetscInt **idx, PetscScalar **v)
    291: {
    292:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;

    294:   PetscFunctionBegin;
    295:   PetscCheck(!A || a->getrow_utriangular, PETSC_COMM_SELF, PETSC_ERR_SUP, "MatGetRow is not supported for SBAIJ matrix format. Getting the upper triangular part of row, run with -mat_getrow_uppertriangular, call MatSetOption(mat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE) or MatGetRowUpperTriangular()");

    297:   /* Get the upper triangular part of the row */
    298:   PetscCall(MatGetRow_SeqBAIJ_private(A, row, nz, idx, v, a->i, a->j, a->a));
    299:   PetscFunctionReturn(PETSC_SUCCESS);
    300: }

    302: PetscErrorCode MatRestoreRow_SeqSBAIJ(Mat A, PetscInt row, PetscInt *nz, PetscInt **idx, PetscScalar **v)
    303: {
    304:   PetscFunctionBegin;
    305:   if (idx) PetscCall(PetscFree(*idx));
    306:   if (v) PetscCall(PetscFree(*v));
    307:   PetscFunctionReturn(PETSC_SUCCESS);
    308: }

    310: static PetscErrorCode MatGetRowUpperTriangular_SeqSBAIJ(Mat A)
    311: {
    312:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;

    314:   PetscFunctionBegin;
    315:   a->getrow_utriangular = PETSC_TRUE;
    316:   PetscFunctionReturn(PETSC_SUCCESS);
    317: }

    319: static PetscErrorCode MatRestoreRowUpperTriangular_SeqSBAIJ(Mat A)
    320: {
    321:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;

    323:   PetscFunctionBegin;
    324:   a->getrow_utriangular = PETSC_FALSE;
    325:   PetscFunctionReturn(PETSC_SUCCESS);
    326: }

    328: static PetscErrorCode MatTranspose_SeqSBAIJ(Mat A, MatReuse reuse, Mat *B)
    329: {
    330:   PetscFunctionBegin;
    331:   if (reuse == MAT_REUSE_MATRIX) PetscCall(MatTransposeCheckNonzeroState_Private(A, *B));
    332:   if (reuse == MAT_INITIAL_MATRIX) {
    333:     PetscCall(MatDuplicate(A, MAT_COPY_VALUES, B));
    334:   } else if (reuse == MAT_REUSE_MATRIX) {
    335:     PetscCall(MatCopy(A, *B, SAME_NONZERO_PATTERN));
    336:   }
    337:   PetscFunctionReturn(PETSC_SUCCESS);
    338: }

    340: static PetscErrorCode MatView_SeqSBAIJ_ASCII(Mat A, PetscViewer viewer)
    341: {
    342:   Mat_SeqSBAIJ     *a = (Mat_SeqSBAIJ *)A->data;
    343:   PetscInt          i, j, bs = A->rmap->bs, k, l, bs2 = a->bs2;
    344:   PetscViewerFormat format;
    345:   PetscInt         *diag;
    346:   const char       *matname;

    348:   PetscFunctionBegin;
    349:   PetscCall(PetscViewerGetFormat(viewer, &format));
    350:   if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
    351:     PetscCall(PetscViewerASCIIPrintf(viewer, "  block size is %" PetscInt_FMT "\n", bs));
    352:   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
    353:     Mat aij;

    355:     if (A->factortype && bs > 1) {
    356:       PetscCall(PetscPrintf(PETSC_COMM_SELF, "Warning: matrix is factored with bs>1. MatView() with PETSC_VIEWER_ASCII_MATLAB is not supported and ignored!\n"));
    357:       PetscFunctionReturn(PETSC_SUCCESS);
    358:     }
    359:     PetscCall(MatConvert(A, MATSEQAIJ, MAT_INITIAL_MATRIX, &aij));
    360:     if (((PetscObject)A)->name) PetscCall(PetscObjectGetName((PetscObject)A, &matname));
    361:     if (((PetscObject)A)->name) PetscCall(PetscObjectSetName((PetscObject)aij, matname));
    362:     PetscCall(MatView_SeqAIJ(aij, viewer));
    363:     PetscCall(MatDestroy(&aij));
    364:   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
    365:     Mat B;

    367:     PetscCall(MatConvert(A, MATSEQAIJ, MAT_INITIAL_MATRIX, &B));
    368:     if (((PetscObject)A)->name) PetscCall(PetscObjectGetName((PetscObject)A, &matname));
    369:     if (((PetscObject)A)->name) PetscCall(PetscObjectSetName((PetscObject)B, matname));
    370:     PetscCall(MatView_SeqAIJ(B, viewer));
    371:     PetscCall(MatDestroy(&B));
    372:   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
    373:     PetscFunctionReturn(PETSC_SUCCESS);
    374:   } else {
    375:     PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_FALSE));
    376:     if (A->factortype) { /* for factored matrix */
    377:       PetscCheck(bs <= 1, PETSC_COMM_SELF, PETSC_ERR_SUP, "matrix is factored with bs>1. Not implemented yet");

    379:       diag = a->diag;
    380:       for (i = 0; i < a->mbs; i++) { /* for row block i */
    381:         PetscCall(PetscViewerASCIIPrintf(viewer, "row %" PetscInt_FMT ":", i));
    382:         /* diagonal entry */
    383: #if defined(PETSC_USE_COMPLEX)
    384:         if (PetscImaginaryPart(a->a[diag[i]]) > 0.0) {
    385:           PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g + %g i) ", a->j[diag[i]], (double)PetscRealPart(1.0 / a->a[diag[i]]), (double)PetscImaginaryPart(1.0 / a->a[diag[i]])));
    386:         } else if (PetscImaginaryPart(a->a[diag[i]]) < 0.0) {
    387:           PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g - %g i) ", a->j[diag[i]], (double)PetscRealPart(1.0 / a->a[diag[i]]), -(double)PetscImaginaryPart(1.0 / a->a[diag[i]])));
    388:         } else {
    389:           PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", a->j[diag[i]], (double)PetscRealPart(1.0 / a->a[diag[i]])));
    390:         }
    391: #else
    392:         PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", a->j[diag[i]], (double)(1 / a->a[diag[i]])));
    393: #endif
    394:         /* off-diagonal entries */
    395:         for (k = a->i[i]; k < a->i[i + 1] - 1; k++) {
    396: #if defined(PETSC_USE_COMPLEX)
    397:           if (PetscImaginaryPart(a->a[k]) > 0.0) {
    398:             PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g + %g i) ", bs * a->j[k], (double)PetscRealPart(a->a[k]), (double)PetscImaginaryPart(a->a[k])));
    399:           } else if (PetscImaginaryPart(a->a[k]) < 0.0) {
    400:             PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g - %g i) ", bs * a->j[k], (double)PetscRealPart(a->a[k]), -(double)PetscImaginaryPart(a->a[k])));
    401:           } else {
    402:             PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", bs * a->j[k], (double)PetscRealPart(a->a[k])));
    403:           }
    404: #else
    405:           PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", a->j[k], (double)a->a[k]));
    406: #endif
    407:         }
    408:         PetscCall(PetscViewerASCIIPrintf(viewer, "\n"));
    409:       }

    411:     } else {                         /* for non-factored matrix */
    412:       for (i = 0; i < a->mbs; i++) { /* for row block i */
    413:         for (j = 0; j < bs; j++) {   /* for row bs*i + j */
    414:           PetscCall(PetscViewerASCIIPrintf(viewer, "row %" PetscInt_FMT ":", i * bs + j));
    415:           for (k = a->i[i]; k < a->i[i + 1]; k++) { /* for column block */
    416:             for (l = 0; l < bs; l++) {              /* for column */
    417: #if defined(PETSC_USE_COMPLEX)
    418:               if (PetscImaginaryPart(a->a[bs2 * k + l * bs + j]) > 0.0) {
    419:                 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g + %g i) ", bs * a->j[k] + l, (double)PetscRealPart(a->a[bs2 * k + l * bs + j]), (double)PetscImaginaryPart(a->a[bs2 * k + l * bs + j])));
    420:               } else if (PetscImaginaryPart(a->a[bs2 * k + l * bs + j]) < 0.0) {
    421:                 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g - %g i) ", bs * a->j[k] + l, (double)PetscRealPart(a->a[bs2 * k + l * bs + j]), -(double)PetscImaginaryPart(a->a[bs2 * k + l * bs + j])));
    422:               } else {
    423:                 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", bs * a->j[k] + l, (double)PetscRealPart(a->a[bs2 * k + l * bs + j])));
    424:               }
    425: #else
    426:               PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", bs * a->j[k] + l, (double)a->a[bs2 * k + l * bs + j]));
    427: #endif
    428:             }
    429:           }
    430:           PetscCall(PetscViewerASCIIPrintf(viewer, "\n"));
    431:         }
    432:       }
    433:     }
    434:     PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_TRUE));
    435:   }
    436:   PetscCall(PetscViewerFlush(viewer));
    437:   PetscFunctionReturn(PETSC_SUCCESS);
    438: }

    440: #include <petscdraw.h>
    441: static PetscErrorCode MatView_SeqSBAIJ_Draw_Zoom(PetscDraw draw, void *Aa)
    442: {
    443:   Mat           A = (Mat)Aa;
    444:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
    445:   PetscInt      row, i, j, k, l, mbs = a->mbs, bs = A->rmap->bs, bs2 = a->bs2;
    446:   PetscReal     xl, yl, xr, yr, x_l, x_r, y_l, y_r;
    447:   MatScalar    *aa;
    448:   PetscViewer   viewer;
    449:   int           color;

    451:   PetscFunctionBegin;
    452:   PetscCall(PetscObjectQuery((PetscObject)A, "Zoomviewer", (PetscObject *)&viewer));
    453:   PetscCall(PetscDrawGetCoordinates(draw, &xl, &yl, &xr, &yr));

    455:   /* loop over matrix elements drawing boxes */

    457:   PetscDrawCollectiveBegin(draw);
    458:   PetscCall(PetscDrawString(draw, .3 * (xl + xr), .3 * (yl + yr), PETSC_DRAW_BLACK, "symmetric"));
    459:   /* Blue for negative, Cyan for zero and  Red for positive */
    460:   color = PETSC_DRAW_BLUE;
    461:   for (i = 0, row = 0; i < mbs; i++, row += bs) {
    462:     for (j = a->i[i]; j < a->i[i + 1]; j++) {
    463:       y_l = A->rmap->N - row - 1.0;
    464:       y_r = y_l + 1.0;
    465:       x_l = a->j[j] * bs;
    466:       x_r = x_l + 1.0;
    467:       aa  = a->a + j * bs2;
    468:       for (k = 0; k < bs; k++) {
    469:         for (l = 0; l < bs; l++) {
    470:           if (PetscRealPart(*aa++) >= 0.) continue;
    471:           PetscCall(PetscDrawRectangle(draw, x_l + k, y_l - l, x_r + k, y_r - l, color, color, color, color));
    472:         }
    473:       }
    474:     }
    475:   }
    476:   color = PETSC_DRAW_CYAN;
    477:   for (i = 0, row = 0; i < mbs; i++, row += bs) {
    478:     for (j = a->i[i]; j < a->i[i + 1]; j++) {
    479:       y_l = A->rmap->N - row - 1.0;
    480:       y_r = y_l + 1.0;
    481:       x_l = a->j[j] * bs;
    482:       x_r = x_l + 1.0;
    483:       aa  = a->a + j * bs2;
    484:       for (k = 0; k < bs; k++) {
    485:         for (l = 0; l < bs; l++) {
    486:           if (PetscRealPart(*aa++) != 0.) continue;
    487:           PetscCall(PetscDrawRectangle(draw, x_l + k, y_l - l, x_r + k, y_r - l, color, color, color, color));
    488:         }
    489:       }
    490:     }
    491:   }
    492:   color = PETSC_DRAW_RED;
    493:   for (i = 0, row = 0; i < mbs; i++, row += bs) {
    494:     for (j = a->i[i]; j < a->i[i + 1]; j++) {
    495:       y_l = A->rmap->N - row - 1.0;
    496:       y_r = y_l + 1.0;
    497:       x_l = a->j[j] * bs;
    498:       x_r = x_l + 1.0;
    499:       aa  = a->a + j * bs2;
    500:       for (k = 0; k < bs; k++) {
    501:         for (l = 0; l < bs; l++) {
    502:           if (PetscRealPart(*aa++) <= 0.) continue;
    503:           PetscCall(PetscDrawRectangle(draw, x_l + k, y_l - l, x_r + k, y_r - l, color, color, color, color));
    504:         }
    505:       }
    506:     }
    507:   }
    508:   PetscDrawCollectiveEnd(draw);
    509:   PetscFunctionReturn(PETSC_SUCCESS);
    510: }

    512: static PetscErrorCode MatView_SeqSBAIJ_Draw(Mat A, PetscViewer viewer)
    513: {
    514:   PetscReal xl, yl, xr, yr, w, h;
    515:   PetscDraw draw;
    516:   PetscBool isnull;

    518:   PetscFunctionBegin;
    519:   PetscCall(PetscViewerDrawGetDraw(viewer, 0, &draw));
    520:   PetscCall(PetscDrawIsNull(draw, &isnull));
    521:   if (isnull) PetscFunctionReturn(PETSC_SUCCESS);

    523:   xr = A->rmap->N;
    524:   yr = A->rmap->N;
    525:   h  = yr / 10.0;
    526:   w  = xr / 10.0;
    527:   xr += w;
    528:   yr += h;
    529:   xl = -w;
    530:   yl = -h;
    531:   PetscCall(PetscDrawSetCoordinates(draw, xl, yl, xr, yr));
    532:   PetscCall(PetscObjectCompose((PetscObject)A, "Zoomviewer", (PetscObject)viewer));
    533:   PetscCall(PetscDrawZoom(draw, MatView_SeqSBAIJ_Draw_Zoom, A));
    534:   PetscCall(PetscObjectCompose((PetscObject)A, "Zoomviewer", NULL));
    535:   PetscCall(PetscDrawSave(draw));
    536:   PetscFunctionReturn(PETSC_SUCCESS);
    537: }

    539: /* Used for both MPIBAIJ and MPISBAIJ matrices */
    540: #define MatView_SeqSBAIJ_Binary MatView_SeqBAIJ_Binary

    542: PetscErrorCode MatView_SeqSBAIJ(Mat A, PetscViewer viewer)
    543: {
    544:   PetscBool iascii, isbinary, isdraw;

    546:   PetscFunctionBegin;
    547:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &iascii));
    548:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
    549:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERDRAW, &isdraw));
    550:   if (iascii) {
    551:     PetscCall(MatView_SeqSBAIJ_ASCII(A, viewer));
    552:   } else if (isbinary) {
    553:     PetscCall(MatView_SeqSBAIJ_Binary(A, viewer));
    554:   } else if (isdraw) {
    555:     PetscCall(MatView_SeqSBAIJ_Draw(A, viewer));
    556:   } else {
    557:     Mat         B;
    558:     const char *matname;
    559:     PetscCall(MatConvert(A, MATSEQAIJ, MAT_INITIAL_MATRIX, &B));
    560:     if (((PetscObject)A)->name) PetscCall(PetscObjectGetName((PetscObject)A, &matname));
    561:     if (((PetscObject)A)->name) PetscCall(PetscObjectSetName((PetscObject)B, matname));
    562:     PetscCall(MatView(B, viewer));
    563:     PetscCall(MatDestroy(&B));
    564:   }
    565:   PetscFunctionReturn(PETSC_SUCCESS);
    566: }

    568: PetscErrorCode MatGetValues_SeqSBAIJ(Mat A, PetscInt m, const PetscInt im[], PetscInt n, const PetscInt in[], PetscScalar v[])
    569: {
    570:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
    571:   PetscInt     *rp, k, low, high, t, row, nrow, i, col, l, *aj = a->j;
    572:   PetscInt     *ai = a->i, *ailen = a->ilen;
    573:   PetscInt      brow, bcol, ridx, cidx, bs = A->rmap->bs, bs2 = a->bs2;
    574:   MatScalar    *ap, *aa = a->a;

    576:   PetscFunctionBegin;
    577:   for (k = 0; k < m; k++) { /* loop over rows */
    578:     row  = im[k];
    579:     brow = row / bs;
    580:     if (row < 0) {
    581:       v += n;
    582:       continue;
    583:     } /* negative row */
    584:     PetscCheck(row < A->rmap->N, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Row too large: row %" PetscInt_FMT " max %" PetscInt_FMT, row, A->rmap->N - 1);
    585:     rp   = aj + ai[brow];
    586:     ap   = aa + bs2 * ai[brow];
    587:     nrow = ailen[brow];
    588:     for (l = 0; l < n; l++) { /* loop over columns */
    589:       if (in[l] < 0) {
    590:         v++;
    591:         continue;
    592:       } /* negative column */
    593:       PetscCheck(in[l] < A->cmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Column too large: col %" PetscInt_FMT " max %" PetscInt_FMT, in[l], A->cmap->n - 1);
    594:       col  = in[l];
    595:       bcol = col / bs;
    596:       cidx = col % bs;
    597:       ridx = row % bs;
    598:       high = nrow;
    599:       low  = 0; /* assume unsorted */
    600:       while (high - low > 5) {
    601:         t = (low + high) / 2;
    602:         if (rp[t] > bcol) high = t;
    603:         else low = t;
    604:       }
    605:       for (i = low; i < high; i++) {
    606:         if (rp[i] > bcol) break;
    607:         if (rp[i] == bcol) {
    608:           *v++ = ap[bs2 * i + bs * cidx + ridx];
    609:           goto finished;
    610:         }
    611:       }
    612:       *v++ = 0.0;
    613:     finished:;
    614:     }
    615:   }
    616:   PetscFunctionReturn(PETSC_SUCCESS);
    617: }

    619: static PetscErrorCode MatPermute_SeqSBAIJ(Mat A, IS rowp, IS colp, Mat *B)
    620: {
    621:   Mat       C;
    622:   PetscBool flg = (PetscBool)(rowp == colp);

    624:   PetscFunctionBegin;
    625:   PetscCall(MatConvert(A, MATSEQBAIJ, MAT_INITIAL_MATRIX, &C));
    626:   PetscCall(MatPermute(C, rowp, colp, B));
    627:   PetscCall(MatDestroy(&C));
    628:   if (!flg) PetscCall(ISEqual(rowp, colp, &flg));
    629:   if (flg) PetscCall(MatConvert(*B, MATSEQSBAIJ, MAT_INPLACE_MATRIX, B));
    630:   PetscFunctionReturn(PETSC_SUCCESS);
    631: }

    633: PetscErrorCode MatSetValuesBlocked_SeqSBAIJ(Mat A, PetscInt m, const PetscInt im[], PetscInt n, const PetscInt in[], const PetscScalar v[], InsertMode is)
    634: {
    635:   Mat_SeqSBAIJ      *a = (Mat_SeqSBAIJ *)A->data;
    636:   PetscInt          *rp, k, low, high, t, ii, jj, row, nrow, i, col, l, rmax, N, lastcol = -1;
    637:   PetscInt          *imax = a->imax, *ai = a->i, *ailen = a->ilen;
    638:   PetscInt          *aj = a->j, nonew = a->nonew, bs2 = a->bs2, bs = A->rmap->bs, stepval;
    639:   PetscBool          roworiented = a->roworiented;
    640:   const PetscScalar *value       = v;
    641:   MatScalar         *ap, *aa = a->a, *bap;

    643:   PetscFunctionBegin;
    644:   if (roworiented) stepval = (n - 1) * bs;
    645:   else stepval = (m - 1) * bs;
    646:   for (k = 0; k < m; k++) { /* loop over added rows */
    647:     row = im[k];
    648:     if (row < 0) continue;
    649:     PetscCheck(row < a->mbs, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Block index row too large %" PetscInt_FMT " max %" PetscInt_FMT, row, a->mbs - 1);
    650:     rp   = aj + ai[row];
    651:     ap   = aa + bs2 * ai[row];
    652:     rmax = imax[row];
    653:     nrow = ailen[row];
    654:     low  = 0;
    655:     high = nrow;
    656:     for (l = 0; l < n; l++) { /* loop over added columns */
    657:       if (in[l] < 0) continue;
    658:       col = in[l];
    659:       PetscCheck(col < a->nbs, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Block index column too large %" PetscInt_FMT " max %" PetscInt_FMT, col, a->nbs - 1);
    660:       if (col < row) {
    661:         if (a->ignore_ltriangular) continue; /* ignore lower triangular block */
    662:         else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_USER, "Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
    663:       }
    664:       if (roworiented) value = v + k * (stepval + bs) * bs + l * bs;
    665:       else value = v + l * (stepval + bs) * bs + k * bs;

    667:       if (col <= lastcol) low = 0;
    668:       else high = nrow;

    670:       lastcol = col;
    671:       while (high - low > 7) {
    672:         t = (low + high) / 2;
    673:         if (rp[t] > col) high = t;
    674:         else low = t;
    675:       }
    676:       for (i = low; i < high; i++) {
    677:         if (rp[i] > col) break;
    678:         if (rp[i] == col) {
    679:           bap = ap + bs2 * i;
    680:           if (roworiented) {
    681:             if (is == ADD_VALUES) {
    682:               for (ii = 0; ii < bs; ii++, value += stepval) {
    683:                 for (jj = ii; jj < bs2; jj += bs) bap[jj] += *value++;
    684:               }
    685:             } else {
    686:               for (ii = 0; ii < bs; ii++, value += stepval) {
    687:                 for (jj = ii; jj < bs2; jj += bs) bap[jj] = *value++;
    688:               }
    689:             }
    690:           } else {
    691:             if (is == ADD_VALUES) {
    692:               for (ii = 0; ii < bs; ii++, value += stepval) {
    693:                 for (jj = 0; jj < bs; jj++) *bap++ += *value++;
    694:               }
    695:             } else {
    696:               for (ii = 0; ii < bs; ii++, value += stepval) {
    697:                 for (jj = 0; jj < bs; jj++) *bap++ = *value++;
    698:               }
    699:             }
    700:           }
    701:           goto noinsert2;
    702:         }
    703:       }
    704:       if (nonew == 1) goto noinsert2;
    705:       PetscCheck(nonew != -1, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Inserting a new block index nonzero block (%" PetscInt_FMT ", %" PetscInt_FMT ") in the matrix", row, col);
    706:       MatSeqXAIJReallocateAIJ(A, a->mbs, bs2, nrow, row, col, rmax, aa, ai, aj, rp, ap, imax, nonew, MatScalar);
    707:       N = nrow++ - 1;
    708:       high++;
    709:       /* shift up all the later entries in this row */
    710:       PetscCall(PetscArraymove(rp + i + 1, rp + i, N - i + 1));
    711:       PetscCall(PetscArraymove(ap + bs2 * (i + 1), ap + bs2 * i, bs2 * (N - i + 1)));
    712:       PetscCall(PetscArrayzero(ap + bs2 * i, bs2));
    713:       rp[i] = col;
    714:       bap   = ap + bs2 * i;
    715:       if (roworiented) {
    716:         for (ii = 0; ii < bs; ii++, value += stepval) {
    717:           for (jj = ii; jj < bs2; jj += bs) bap[jj] = *value++;
    718:         }
    719:       } else {
    720:         for (ii = 0; ii < bs; ii++, value += stepval) {
    721:           for (jj = 0; jj < bs; jj++) *bap++ = *value++;
    722:         }
    723:       }
    724:     noinsert2:;
    725:       low = i;
    726:     }
    727:     ailen[row] = nrow;
    728:   }
    729:   PetscFunctionReturn(PETSC_SUCCESS);
    730: }

    732: static PetscErrorCode MatAssemblyEnd_SeqSBAIJ(Mat A, MatAssemblyType mode)
    733: {
    734:   Mat_SeqSBAIJ *a      = (Mat_SeqSBAIJ *)A->data;
    735:   PetscInt      fshift = 0, i, *ai = a->i, *aj = a->j, *imax = a->imax;
    736:   PetscInt      m = A->rmap->N, *ip, N, *ailen = a->ilen;
    737:   PetscInt      mbs = a->mbs, bs2 = a->bs2, rmax = 0;
    738:   MatScalar    *aa = a->a, *ap;

    740:   PetscFunctionBegin;
    741:   if (mode == MAT_FLUSH_ASSEMBLY || (A->was_assembled && A->ass_nonzerostate == A->nonzerostate)) PetscFunctionReturn(PETSC_SUCCESS);

    743:   if (m) rmax = ailen[0];
    744:   for (i = 1; i < mbs; i++) {
    745:     /* move each row back by the amount of empty slots (fshift) before it*/
    746:     fshift += imax[i - 1] - ailen[i - 1];
    747:     rmax = PetscMax(rmax, ailen[i]);
    748:     if (fshift) {
    749:       ip = aj + ai[i];
    750:       ap = aa + bs2 * ai[i];
    751:       N  = ailen[i];
    752:       PetscCall(PetscArraymove(ip - fshift, ip, N));
    753:       PetscCall(PetscArraymove(ap - bs2 * fshift, ap, bs2 * N));
    754:     }
    755:     ai[i] = ai[i - 1] + ailen[i - 1];
    756:   }
    757:   if (mbs) {
    758:     fshift += imax[mbs - 1] - ailen[mbs - 1];
    759:     ai[mbs] = ai[mbs - 1] + ailen[mbs - 1];
    760:   }
    761:   /* reset ilen and imax for each row */
    762:   for (i = 0; i < mbs; i++) ailen[i] = imax[i] = ai[i + 1] - ai[i];
    763:   a->nz = ai[mbs];

    765:   /* diagonals may have moved, reset it */
    766:   if (a->diag) PetscCall(PetscArraycpy(a->diag, ai, mbs));
    767:   PetscCheck(!fshift || a->nounused != -1, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Unused space detected in matrix: %" PetscInt_FMT " X %" PetscInt_FMT " block size %" PetscInt_FMT ", %" PetscInt_FMT " unneeded", m, A->cmap->n, A->rmap->bs, fshift * bs2);

    769:   PetscCall(PetscInfo(A, "Matrix size: %" PetscInt_FMT " X %" PetscInt_FMT ", block size %" PetscInt_FMT "; storage space: %" PetscInt_FMT " unneeded, %" PetscInt_FMT " used\n", m, A->rmap->N, A->rmap->bs, fshift * bs2, a->nz * bs2));
    770:   PetscCall(PetscInfo(A, "Number of mallocs during MatSetValues is %" PetscInt_FMT "\n", a->reallocs));
    771:   PetscCall(PetscInfo(A, "Most nonzeros blocks in any row is %" PetscInt_FMT "\n", rmax));

    773:   A->info.mallocs += a->reallocs;
    774:   a->reallocs         = 0;
    775:   A->info.nz_unneeded = (PetscReal)fshift * bs2;
    776:   a->idiagvalid       = PETSC_FALSE;
    777:   a->rmax             = rmax;

    779:   if (A->cmap->n < 65536 && A->cmap->bs == 1) {
    780:     if (a->jshort && a->free_jshort) {
    781:       /* when matrix data structure is changed, previous jshort must be replaced */
    782:       PetscCall(PetscFree(a->jshort));
    783:     }
    784:     PetscCall(PetscMalloc1(a->i[A->rmap->n], &a->jshort));
    785:     for (i = 0; i < a->i[A->rmap->n]; i++) a->jshort[i] = (short)a->j[i];
    786:     A->ops->mult   = MatMult_SeqSBAIJ_1_ushort;
    787:     A->ops->sor    = MatSOR_SeqSBAIJ_ushort;
    788:     a->free_jshort = PETSC_TRUE;
    789:   }
    790:   PetscFunctionReturn(PETSC_SUCCESS);
    791: }

    793: /* Only add/insert a(i,j) with i<=j (blocks).
    794:    Any a(i,j) with i>j input by user is ignored.
    795: */

    797: PetscErrorCode MatSetValues_SeqSBAIJ(Mat A, PetscInt m, const PetscInt im[], PetscInt n, const PetscInt in[], const PetscScalar v[], InsertMode is)
    798: {
    799:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
    800:   PetscInt     *rp, k, low, high, t, ii, row, nrow, i, col, l, rmax, N, lastcol = -1;
    801:   PetscInt     *imax = a->imax, *ai = a->i, *ailen = a->ilen, roworiented = a->roworiented;
    802:   PetscInt     *aj = a->j, nonew = a->nonew, bs = A->rmap->bs, brow, bcol;
    803:   PetscInt      ridx, cidx, bs2                 = a->bs2;
    804:   MatScalar    *ap, value, *aa                  = a->a, *bap;

    806:   PetscFunctionBegin;
    807:   for (k = 0; k < m; k++) { /* loop over added rows */
    808:     row  = im[k];           /* row number */
    809:     brow = row / bs;        /* block row number */
    810:     if (row < 0) continue;
    811:     PetscCheck(row < A->rmap->N, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Row too large: row %" PetscInt_FMT " max %" PetscInt_FMT, row, A->rmap->N - 1);
    812:     rp   = aj + ai[brow];       /*ptr to beginning of column value of the row block*/
    813:     ap   = aa + bs2 * ai[brow]; /*ptr to beginning of element value of the row block*/
    814:     rmax = imax[brow];          /* maximum space allocated for this row */
    815:     nrow = ailen[brow];         /* actual length of this row */
    816:     low  = 0;
    817:     high = nrow;
    818:     for (l = 0; l < n; l++) { /* loop over added columns */
    819:       if (in[l] < 0) continue;
    820:       PetscCheck(in[l] < A->cmap->N, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Column too large: col %" PetscInt_FMT " max %" PetscInt_FMT, in[l], A->cmap->N - 1);
    821:       col  = in[l];
    822:       bcol = col / bs; /* block col number */

    824:       if (brow > bcol) {
    825:         if (a->ignore_ltriangular) continue; /* ignore lower triangular values */
    826:         else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_USER, "Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
    827:       }

    829:       ridx = row % bs;
    830:       cidx = col % bs; /*row and col index inside the block */
    831:       if ((brow == bcol && ridx <= cidx) || (brow < bcol)) {
    832:         /* element value a(k,l) */
    833:         if (roworiented) value = v[l + k * n];
    834:         else value = v[k + l * m];

    836:         /* move pointer bap to a(k,l) quickly and add/insert value */
    837:         if (col <= lastcol) low = 0;
    838:         else high = nrow;

    840:         lastcol = col;
    841:         while (high - low > 7) {
    842:           t = (low + high) / 2;
    843:           if (rp[t] > bcol) high = t;
    844:           else low = t;
    845:         }
    846:         for (i = low; i < high; i++) {
    847:           if (rp[i] > bcol) break;
    848:           if (rp[i] == bcol) {
    849:             bap = ap + bs2 * i + bs * cidx + ridx;
    850:             if (is == ADD_VALUES) *bap += value;
    851:             else *bap = value;
    852:             /* for diag block, add/insert its symmetric element a(cidx,ridx) */
    853:             if (brow == bcol && ridx < cidx) {
    854:               bap = ap + bs2 * i + bs * ridx + cidx;
    855:               if (is == ADD_VALUES) *bap += value;
    856:               else *bap = value;
    857:             }
    858:             goto noinsert1;
    859:           }
    860:         }

    862:         if (nonew == 1) goto noinsert1;
    863:         PetscCheck(nonew != -1, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Inserting a new nonzero (%" PetscInt_FMT ", %" PetscInt_FMT ") in the matrix", row, col);
    864:         MatSeqXAIJReallocateAIJ(A, a->mbs, bs2, nrow, brow, bcol, rmax, aa, ai, aj, rp, ap, imax, nonew, MatScalar);

    866:         N = nrow++ - 1;
    867:         high++;
    868:         /* shift up all the later entries in this row */
    869:         PetscCall(PetscArraymove(rp + i + 1, rp + i, N - i + 1));
    870:         PetscCall(PetscArraymove(ap + bs2 * (i + 1), ap + bs2 * i, bs2 * (N - i + 1)));
    871:         PetscCall(PetscArrayzero(ap + bs2 * i, bs2));
    872:         rp[i]                          = bcol;
    873:         ap[bs2 * i + bs * cidx + ridx] = value;
    874:         /* for diag block, add/insert its symmetric element a(cidx,ridx) */
    875:         if (brow == bcol && ridx < cidx) ap[bs2 * i + bs * ridx + cidx] = value;
    876:       noinsert1:;
    877:         low = i;
    878:       }
    879:     } /* end of loop over added columns */
    880:     ailen[brow] = nrow;
    881:   } /* end of loop over added rows */
    882:   PetscFunctionReturn(PETSC_SUCCESS);
    883: }

    885: static PetscErrorCode MatICCFactor_SeqSBAIJ(Mat inA, IS row, const MatFactorInfo *info)
    886: {
    887:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)inA->data;
    888:   Mat           outA;
    889:   PetscBool     row_identity;

    891:   PetscFunctionBegin;
    892:   PetscCheck(info->levels == 0, PETSC_COMM_SELF, PETSC_ERR_SUP, "Only levels=0 is supported for in-place icc");
    893:   PetscCall(ISIdentity(row, &row_identity));
    894:   PetscCheck(row_identity, PETSC_COMM_SELF, PETSC_ERR_SUP, "Matrix reordering is not supported");
    895:   PetscCheck(inA->rmap->bs == 1, PETSC_COMM_SELF, PETSC_ERR_SUP, "Matrix block size %" PetscInt_FMT " is not supported", inA->rmap->bs); /* Need to replace MatCholeskyFactorSymbolic_SeqSBAIJ_MSR()! */

    897:   outA            = inA;
    898:   inA->factortype = MAT_FACTOR_ICC;
    899:   PetscCall(PetscFree(inA->solvertype));
    900:   PetscCall(PetscStrallocpy(MATSOLVERPETSC, &inA->solvertype));

    902:   PetscCall(MatMarkDiagonal_SeqSBAIJ(inA));
    903:   PetscCall(MatSeqSBAIJSetNumericFactorization_inplace(inA, row_identity));

    905:   PetscCall(PetscObjectReference((PetscObject)row));
    906:   PetscCall(ISDestroy(&a->row));
    907:   a->row = row;
    908:   PetscCall(PetscObjectReference((PetscObject)row));
    909:   PetscCall(ISDestroy(&a->col));
    910:   a->col = row;

    912:   /* Create the invert permutation so that it can be used in MatCholeskyFactorNumeric() */
    913:   if (a->icol) PetscCall(ISInvertPermutation(row, PETSC_DECIDE, &a->icol));

    915:   if (!a->solve_work) PetscCall(PetscMalloc1(inA->rmap->N + inA->rmap->bs, &a->solve_work));

    917:   PetscCall(MatCholeskyFactorNumeric(outA, inA, info));
    918:   PetscFunctionReturn(PETSC_SUCCESS);
    919: }

    921: static PetscErrorCode MatSeqSBAIJSetColumnIndices_SeqSBAIJ(Mat mat, PetscInt *indices)
    922: {
    923:   Mat_SeqSBAIJ *baij = (Mat_SeqSBAIJ *)mat->data;
    924:   PetscInt      i, nz, n;

    926:   PetscFunctionBegin;
    927:   nz = baij->maxnz;
    928:   n  = mat->cmap->n;
    929:   for (i = 0; i < nz; i++) baij->j[i] = indices[i];

    931:   baij->nz = nz;
    932:   for (i = 0; i < n; i++) baij->ilen[i] = baij->imax[i];

    934:   PetscCall(MatSetOption(mat, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
    935:   PetscFunctionReturn(PETSC_SUCCESS);
    936: }

    938: /*@
    939:   MatSeqSBAIJSetColumnIndices - Set the column indices for all the rows
    940:   in a `MATSEQSBAIJ` matrix.

    942:   Input Parameters:
    943: + mat     - the `MATSEQSBAIJ` matrix
    944: - indices - the column indices

    946:   Level: advanced

    948:   Notes:
    949:   This can be called if you have precomputed the nonzero structure of the
    950:   matrix and want to provide it to the matrix object to improve the performance
    951:   of the `MatSetValues()` operation.

    953:   You MUST have set the correct numbers of nonzeros per row in the call to
    954:   `MatCreateSeqSBAIJ()`, and the columns indices MUST be sorted.

    956:   MUST be called before any calls to `MatSetValues()`

    958: .seealso: [](ch_matrices), `Mat`, `MATSEQSBAIJ`, `MatCreateSeqSBAIJ`
    959: @*/
    960: PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat mat, PetscInt *indices)
    961: {
    962:   PetscFunctionBegin;
    964:   PetscAssertPointer(indices, 2);
    965:   PetscUseMethod(mat, "MatSeqSBAIJSetColumnIndices_C", (Mat, PetscInt *), (mat, indices));
    966:   PetscFunctionReturn(PETSC_SUCCESS);
    967: }

    969: static PetscErrorCode MatCopy_SeqSBAIJ(Mat A, Mat B, MatStructure str)
    970: {
    971:   PetscBool isbaij;

    973:   PetscFunctionBegin;
    974:   PetscCall(PetscObjectTypeCompareAny((PetscObject)B, &isbaij, MATSEQSBAIJ, MATMPISBAIJ, ""));
    975:   PetscCheck(isbaij, PetscObjectComm((PetscObject)B), PETSC_ERR_SUP, "Not for matrix type %s", ((PetscObject)B)->type_name);
    976:   /* If the two matrices have the same copy implementation and nonzero pattern, use fast copy. */
    977:   if (str == SAME_NONZERO_PATTERN && A->ops->copy == B->ops->copy) {
    978:     Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
    979:     Mat_SeqSBAIJ *b = (Mat_SeqSBAIJ *)B->data;

    981:     PetscCheck(a->i[a->mbs] == b->i[b->mbs], PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Number of nonzeros in two matrices are different");
    982:     PetscCheck(a->mbs == b->mbs, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Number of rows in two matrices are different");
    983:     PetscCheck(a->bs2 == b->bs2, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Different block size");
    984:     PetscCall(PetscArraycpy(b->a, a->a, a->bs2 * a->i[a->mbs]));
    985:     PetscCall(PetscObjectStateIncrease((PetscObject)B));
    986:   } else {
    987:     PetscCall(MatGetRowUpperTriangular(A));
    988:     PetscCall(MatCopy_Basic(A, B, str));
    989:     PetscCall(MatRestoreRowUpperTriangular(A));
    990:   }
    991:   PetscFunctionReturn(PETSC_SUCCESS);
    992: }

    994: static PetscErrorCode MatSeqSBAIJGetArray_SeqSBAIJ(Mat A, PetscScalar *array[])
    995: {
    996:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;

    998:   PetscFunctionBegin;
    999:   *array = a->a;
    1000:   PetscFunctionReturn(PETSC_SUCCESS);
    1001: }

    1003: static PetscErrorCode MatSeqSBAIJRestoreArray_SeqSBAIJ(Mat A, PetscScalar *array[])
    1004: {
    1005:   PetscFunctionBegin;
    1006:   *array = NULL;
    1007:   PetscFunctionReturn(PETSC_SUCCESS);
    1008: }

    1010: PetscErrorCode MatAXPYGetPreallocation_SeqSBAIJ(Mat Y, Mat X, PetscInt *nnz)
    1011: {
    1012:   PetscInt      bs = Y->rmap->bs, mbs = Y->rmap->N / bs;
    1013:   Mat_SeqSBAIJ *x = (Mat_SeqSBAIJ *)X->data;
    1014:   Mat_SeqSBAIJ *y = (Mat_SeqSBAIJ *)Y->data;

    1016:   PetscFunctionBegin;
    1017:   /* Set the number of nonzeros in the new matrix */
    1018:   PetscCall(MatAXPYGetPreallocation_SeqX_private(mbs, x->i, x->j, y->i, y->j, nnz));
    1019:   PetscFunctionReturn(PETSC_SUCCESS);
    1020: }

    1022: static PetscErrorCode MatAXPY_SeqSBAIJ(Mat Y, PetscScalar a, Mat X, MatStructure str)
    1023: {
    1024:   Mat_SeqSBAIJ *x = (Mat_SeqSBAIJ *)X->data, *y = (Mat_SeqSBAIJ *)Y->data;
    1025:   PetscInt      bs = Y->rmap->bs, bs2 = bs * bs;
    1026:   PetscBLASInt  one = 1;

    1028:   PetscFunctionBegin;
    1029:   if (str == UNKNOWN_NONZERO_PATTERN || (PetscDefined(USE_DEBUG) && str == SAME_NONZERO_PATTERN)) {
    1030:     PetscBool e = x->nz == y->nz && x->mbs == y->mbs ? PETSC_TRUE : PETSC_FALSE;
    1031:     if (e) {
    1032:       PetscCall(PetscArraycmp(x->i, y->i, x->mbs + 1, &e));
    1033:       if (e) {
    1034:         PetscCall(PetscArraycmp(x->j, y->j, x->i[x->mbs], &e));
    1035:         if (e) str = SAME_NONZERO_PATTERN;
    1036:       }
    1037:     }
    1038:     if (!e) PetscCheck(str != SAME_NONZERO_PATTERN, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "MatStructure is not SAME_NONZERO_PATTERN");
    1039:   }
    1040:   if (str == SAME_NONZERO_PATTERN) {
    1041:     PetscScalar  alpha = a;
    1042:     PetscBLASInt bnz;
    1043:     PetscCall(PetscBLASIntCast(x->nz * bs2, &bnz));
    1044:     PetscCallBLAS("BLASaxpy", BLASaxpy_(&bnz, &alpha, x->a, &one, y->a, &one));
    1045:     PetscCall(PetscObjectStateIncrease((PetscObject)Y));
    1046:   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
    1047:     PetscCall(MatSetOption(X, MAT_GETROW_UPPERTRIANGULAR, PETSC_TRUE));
    1048:     PetscCall(MatAXPY_Basic(Y, a, X, str));
    1049:     PetscCall(MatSetOption(X, MAT_GETROW_UPPERTRIANGULAR, PETSC_FALSE));
    1050:   } else {
    1051:     Mat       B;
    1052:     PetscInt *nnz;
    1053:     PetscCheck(bs == X->rmap->bs, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Matrices must have same block size");
    1054:     PetscCall(MatGetRowUpperTriangular(X));
    1055:     PetscCall(MatGetRowUpperTriangular(Y));
    1056:     PetscCall(PetscMalloc1(Y->rmap->N, &nnz));
    1057:     PetscCall(MatCreate(PetscObjectComm((PetscObject)Y), &B));
    1058:     PetscCall(PetscObjectSetName((PetscObject)B, ((PetscObject)Y)->name));
    1059:     PetscCall(MatSetSizes(B, Y->rmap->n, Y->cmap->n, Y->rmap->N, Y->cmap->N));
    1060:     PetscCall(MatSetBlockSizesFromMats(B, Y, Y));
    1061:     PetscCall(MatSetType(B, ((PetscObject)Y)->type_name));
    1062:     PetscCall(MatAXPYGetPreallocation_SeqSBAIJ(Y, X, nnz));
    1063:     PetscCall(MatSeqSBAIJSetPreallocation(B, bs, 0, nnz));

    1065:     PetscCall(MatAXPY_BasicWithPreallocation(B, Y, a, X, str));

    1067:     PetscCall(MatHeaderMerge(Y, &B));
    1068:     PetscCall(PetscFree(nnz));
    1069:     PetscCall(MatRestoreRowUpperTriangular(X));
    1070:     PetscCall(MatRestoreRowUpperTriangular(Y));
    1071:   }
    1072:   PetscFunctionReturn(PETSC_SUCCESS);
    1073: }

    1075: static PetscErrorCode MatIsStructurallySymmetric_SeqSBAIJ(Mat A, PetscBool *flg)
    1076: {
    1077:   PetscFunctionBegin;
    1078:   *flg = PETSC_TRUE;
    1079:   PetscFunctionReturn(PETSC_SUCCESS);
    1080: }

    1082: static PetscErrorCode MatConjugate_SeqSBAIJ(Mat A)
    1083: {
    1084: #if defined(PETSC_USE_COMPLEX)
    1085:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
    1086:   PetscInt      i, nz = a->bs2 * a->i[a->mbs];
    1087:   MatScalar    *aa = a->a;

    1089:   PetscFunctionBegin;
    1090:   for (i = 0; i < nz; i++) aa[i] = PetscConj(aa[i]);
    1091: #else
    1092:   PetscFunctionBegin;
    1093: #endif
    1094:   PetscFunctionReturn(PETSC_SUCCESS);
    1095: }

    1097: static PetscErrorCode MatRealPart_SeqSBAIJ(Mat A)
    1098: {
    1099:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
    1100:   PetscInt      i, nz = a->bs2 * a->i[a->mbs];
    1101:   MatScalar    *aa = a->a;

    1103:   PetscFunctionBegin;
    1104:   for (i = 0; i < nz; i++) aa[i] = PetscRealPart(aa[i]);
    1105:   PetscFunctionReturn(PETSC_SUCCESS);
    1106: }

    1108: static PetscErrorCode MatImaginaryPart_SeqSBAIJ(Mat A)
    1109: {
    1110:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
    1111:   PetscInt      i, nz = a->bs2 * a->i[a->mbs];
    1112:   MatScalar    *aa = a->a;

    1114:   PetscFunctionBegin;
    1115:   for (i = 0; i < nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
    1116:   PetscFunctionReturn(PETSC_SUCCESS);
    1117: }

    1119: static PetscErrorCode MatZeroRowsColumns_SeqSBAIJ(Mat A, PetscInt is_n, const PetscInt is_idx[], PetscScalar diag, Vec x, Vec b)
    1120: {
    1121:   Mat_SeqSBAIJ      *baij = (Mat_SeqSBAIJ *)A->data;
    1122:   PetscInt           i, j, k, count;
    1123:   PetscInt           bs = A->rmap->bs, bs2 = baij->bs2, row, col;
    1124:   PetscScalar        zero = 0.0;
    1125:   MatScalar         *aa;
    1126:   const PetscScalar *xx;
    1127:   PetscScalar       *bb;
    1128:   PetscBool         *zeroed, vecs = PETSC_FALSE;

    1130:   PetscFunctionBegin;
    1131:   /* fix right-hand side if needed */
    1132:   if (x && b) {
    1133:     PetscCall(VecGetArrayRead(x, &xx));
    1134:     PetscCall(VecGetArray(b, &bb));
    1135:     vecs = PETSC_TRUE;
    1136:   }

    1138:   /* zero the columns */
    1139:   PetscCall(PetscCalloc1(A->rmap->n, &zeroed));
    1140:   for (i = 0; i < is_n; i++) {
    1141:     PetscCheck(is_idx[i] >= 0 && is_idx[i] < A->rmap->N, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "row %" PetscInt_FMT " out of range", is_idx[i]);
    1142:     zeroed[is_idx[i]] = PETSC_TRUE;
    1143:   }
    1144:   if (vecs) {
    1145:     for (i = 0; i < A->rmap->N; i++) {
    1146:       row = i / bs;
    1147:       for (j = baij->i[row]; j < baij->i[row + 1]; j++) {
    1148:         for (k = 0; k < bs; k++) {
    1149:           col = bs * baij->j[j] + k;
    1150:           if (col <= i) continue;
    1151:           aa = baij->a + j * bs2 + (i % bs) + bs * k;
    1152:           if (!zeroed[i] && zeroed[col]) bb[i] -= aa[0] * xx[col];
    1153:           if (zeroed[i] && !zeroed[col]) bb[col] -= aa[0] * xx[i];
    1154:         }
    1155:       }
    1156:     }
    1157:     for (i = 0; i < is_n; i++) bb[is_idx[i]] = diag * xx[is_idx[i]];
    1158:   }

    1160:   for (i = 0; i < A->rmap->N; i++) {
    1161:     if (!zeroed[i]) {
    1162:       row = i / bs;
    1163:       for (j = baij->i[row]; j < baij->i[row + 1]; j++) {
    1164:         for (k = 0; k < bs; k++) {
    1165:           col = bs * baij->j[j] + k;
    1166:           if (zeroed[col]) {
    1167:             aa    = baij->a + j * bs2 + (i % bs) + bs * k;
    1168:             aa[0] = 0.0;
    1169:           }
    1170:         }
    1171:       }
    1172:     }
    1173:   }
    1174:   PetscCall(PetscFree(zeroed));
    1175:   if (vecs) {
    1176:     PetscCall(VecRestoreArrayRead(x, &xx));
    1177:     PetscCall(VecRestoreArray(b, &bb));
    1178:   }

    1180:   /* zero the rows */
    1181:   for (i = 0; i < is_n; i++) {
    1182:     row   = is_idx[i];
    1183:     count = (baij->i[row / bs + 1] - baij->i[row / bs]) * bs;
    1184:     aa    = baij->a + baij->i[row / bs] * bs2 + (row % bs);
    1185:     for (k = 0; k < count; k++) {
    1186:       aa[0] = zero;
    1187:       aa += bs;
    1188:     }
    1189:     if (diag != 0.0) PetscUseTypeMethod(A, setvalues, 1, &row, 1, &row, &diag, INSERT_VALUES);
    1190:   }
    1191:   PetscCall(MatAssemblyEnd_SeqSBAIJ(A, MAT_FINAL_ASSEMBLY));
    1192:   PetscFunctionReturn(PETSC_SUCCESS);
    1193: }

    1195: static PetscErrorCode MatShift_SeqSBAIJ(Mat Y, PetscScalar a)
    1196: {
    1197:   Mat_SeqSBAIJ *aij = (Mat_SeqSBAIJ *)Y->data;

    1199:   PetscFunctionBegin;
    1200:   if (!Y->preallocated || !aij->nz) PetscCall(MatSeqSBAIJSetPreallocation(Y, Y->rmap->bs, 1, NULL));
    1201:   PetscCall(MatShift_Basic(Y, a));
    1202:   PetscFunctionReturn(PETSC_SUCCESS);
    1203: }

    1205: PetscErrorCode MatEliminateZeros_SeqSBAIJ(Mat A, PetscBool keep)
    1206: {
    1207:   Mat_SeqSBAIJ *a      = (Mat_SeqSBAIJ *)A->data;
    1208:   PetscInt      fshift = 0, fshift_prev = 0, i, *ai = a->i, *aj = a->j, *imax = a->imax, j, k;
    1209:   PetscInt      m = A->rmap->N, *ailen = a->ilen;
    1210:   PetscInt      mbs = a->mbs, bs2 = a->bs2, rmax = 0;
    1211:   MatScalar    *aa = a->a, *ap;
    1212:   PetscBool     zero;

    1214:   PetscFunctionBegin;
    1215:   PetscCheck(A->assembled, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Cannot eliminate zeros for unassembled matrix");
    1216:   if (m) rmax = ailen[0];
    1217:   for (i = 1; i <= mbs; i++) {
    1218:     for (k = ai[i - 1]; k < ai[i]; k++) {
    1219:       zero = PETSC_TRUE;
    1220:       ap   = aa + bs2 * k;
    1221:       for (j = 0; j < bs2 && zero; j++) {
    1222:         if (ap[j] != 0.0) zero = PETSC_FALSE;
    1223:       }
    1224:       if (zero && (aj[k] != i - 1 || !keep)) fshift++;
    1225:       else {
    1226:         if (zero && aj[k] == i - 1) PetscCall(PetscInfo(A, "Keep the diagonal block at row %" PetscInt_FMT "\n", i - 1));
    1227:         aj[k - fshift] = aj[k];
    1228:         PetscCall(PetscArraymove(ap - bs2 * fshift, ap, bs2));
    1229:       }
    1230:     }
    1231:     ai[i - 1] -= fshift_prev;
    1232:     fshift_prev  = fshift;
    1233:     ailen[i - 1] = imax[i - 1] = ai[i] - fshift - ai[i - 1];
    1234:     a->nonzerorowcnt += ((ai[i] - fshift - ai[i - 1]) > 0);
    1235:     rmax = PetscMax(rmax, ailen[i - 1]);
    1236:   }
    1237:   if (fshift) {
    1238:     if (mbs) {
    1239:       ai[mbs] -= fshift;
    1240:       a->nz = ai[mbs];
    1241:     }
    1242:     PetscCall(PetscInfo(A, "Matrix size: %" PetscInt_FMT " X %" PetscInt_FMT "; zeros eliminated: %" PetscInt_FMT "; nonzeros left: %" PetscInt_FMT "\n", m, A->cmap->n, fshift, a->nz));
    1243:     A->nonzerostate++;
    1244:     A->info.nz_unneeded += (PetscReal)fshift;
    1245:     a->rmax = rmax;
    1246:     PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
    1247:     PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
    1248:   }
    1249:   PetscFunctionReturn(PETSC_SUCCESS);
    1250: }

    1252: static struct _MatOps MatOps_Values = {MatSetValues_SeqSBAIJ,
    1253:                                        MatGetRow_SeqSBAIJ,
    1254:                                        MatRestoreRow_SeqSBAIJ,
    1255:                                        MatMult_SeqSBAIJ_N,
    1256:                                        /*  4*/ MatMultAdd_SeqSBAIJ_N,
    1257:                                        MatMult_SeqSBAIJ_N, /* transpose versions are same as non-transpose versions */
    1258:                                        MatMultAdd_SeqSBAIJ_N,
    1259:                                        NULL,
    1260:                                        NULL,
    1261:                                        NULL,
    1262:                                        /* 10*/ NULL,
    1263:                                        NULL,
    1264:                                        MatCholeskyFactor_SeqSBAIJ,
    1265:                                        MatSOR_SeqSBAIJ,
    1266:                                        MatTranspose_SeqSBAIJ,
    1267:                                        /* 15*/ MatGetInfo_SeqSBAIJ,
    1268:                                        MatEqual_SeqSBAIJ,
    1269:                                        MatGetDiagonal_SeqSBAIJ,
    1270:                                        MatDiagonalScale_SeqSBAIJ,
    1271:                                        MatNorm_SeqSBAIJ,
    1272:                                        /* 20*/ NULL,
    1273:                                        MatAssemblyEnd_SeqSBAIJ,
    1274:                                        MatSetOption_SeqSBAIJ,
    1275:                                        MatZeroEntries_SeqSBAIJ,
    1276:                                        /* 24*/ NULL,
    1277:                                        NULL,
    1278:                                        NULL,
    1279:                                        NULL,
    1280:                                        NULL,
    1281:                                        /* 29*/ MatSetUp_Seq_Hash,
    1282:                                        NULL,
    1283:                                        NULL,
    1284:                                        NULL,
    1285:                                        NULL,
    1286:                                        /* 34*/ MatDuplicate_SeqSBAIJ,
    1287:                                        NULL,
    1288:                                        NULL,
    1289:                                        NULL,
    1290:                                        MatICCFactor_SeqSBAIJ,
    1291:                                        /* 39*/ MatAXPY_SeqSBAIJ,
    1292:                                        MatCreateSubMatrices_SeqSBAIJ,
    1293:                                        MatIncreaseOverlap_SeqSBAIJ,
    1294:                                        MatGetValues_SeqSBAIJ,
    1295:                                        MatCopy_SeqSBAIJ,
    1296:                                        /* 44*/ NULL,
    1297:                                        MatScale_SeqSBAIJ,
    1298:                                        MatShift_SeqSBAIJ,
    1299:                                        NULL,
    1300:                                        MatZeroRowsColumns_SeqSBAIJ,
    1301:                                        /* 49*/ NULL,
    1302:                                        MatGetRowIJ_SeqSBAIJ,
    1303:                                        MatRestoreRowIJ_SeqSBAIJ,
    1304:                                        NULL,
    1305:                                        NULL,
    1306:                                        /* 54*/ NULL,
    1307:                                        NULL,
    1308:                                        NULL,
    1309:                                        MatPermute_SeqSBAIJ,
    1310:                                        MatSetValuesBlocked_SeqSBAIJ,
    1311:                                        /* 59*/ MatCreateSubMatrix_SeqSBAIJ,
    1312:                                        NULL,
    1313:                                        NULL,
    1314:                                        NULL,
    1315:                                        NULL,
    1316:                                        /* 64*/ NULL,
    1317:                                        NULL,
    1318:                                        NULL,
    1319:                                        NULL,
    1320:                                        NULL,
    1321:                                        /* 69*/ MatGetRowMaxAbs_SeqSBAIJ,
    1322:                                        NULL,
    1323:                                        MatConvert_MPISBAIJ_Basic,
    1324:                                        NULL,
    1325:                                        NULL,
    1326:                                        /* 74*/ NULL,
    1327:                                        NULL,
    1328:                                        NULL,
    1329:                                        NULL,
    1330:                                        NULL,
    1331:                                        /* 79*/ NULL,
    1332:                                        NULL,
    1333:                                        NULL,
    1334:                                        MatGetInertia_SeqSBAIJ,
    1335:                                        MatLoad_SeqSBAIJ,
    1336:                                        /* 84*/ NULL,
    1337:                                        NULL,
    1338:                                        MatIsStructurallySymmetric_SeqSBAIJ,
    1339:                                        NULL,
    1340:                                        NULL,
    1341:                                        /* 89*/ NULL,
    1342:                                        NULL,
    1343:                                        NULL,
    1344:                                        NULL,
    1345:                                        NULL,
    1346:                                        /* 94*/ NULL,
    1347:                                        NULL,
    1348:                                        NULL,
    1349:                                        NULL,
    1350:                                        NULL,
    1351:                                        /* 99*/ NULL,
    1352:                                        NULL,
    1353:                                        NULL,
    1354:                                        MatConjugate_SeqSBAIJ,
    1355:                                        NULL,
    1356:                                        /*104*/ NULL,
    1357:                                        MatRealPart_SeqSBAIJ,
    1358:                                        MatImaginaryPart_SeqSBAIJ,
    1359:                                        MatGetRowUpperTriangular_SeqSBAIJ,
    1360:                                        MatRestoreRowUpperTriangular_SeqSBAIJ,
    1361:                                        /*109*/ NULL,
    1362:                                        NULL,
    1363:                                        NULL,
    1364:                                        NULL,
    1365:                                        MatMissingDiagonal_SeqSBAIJ,
    1366:                                        /*114*/ NULL,
    1367:                                        NULL,
    1368:                                        NULL,
    1369:                                        NULL,
    1370:                                        NULL,
    1371:                                        /*119*/ NULL,
    1372:                                        NULL,
    1373:                                        NULL,
    1374:                                        NULL,
    1375:                                        NULL,
    1376:                                        /*124*/ NULL,
    1377:                                        NULL,
    1378:                                        NULL,
    1379:                                        NULL,
    1380:                                        NULL,
    1381:                                        /*129*/ NULL,
    1382:                                        NULL,
    1383:                                        NULL,
    1384:                                        NULL,
    1385:                                        NULL,
    1386:                                        /*134*/ NULL,
    1387:                                        NULL,
    1388:                                        NULL,
    1389:                                        NULL,
    1390:                                        NULL,
    1391:                                        /*139*/ MatSetBlockSizes_Default,
    1392:                                        NULL,
    1393:                                        NULL,
    1394:                                        NULL,
    1395:                                        NULL,
    1396:                                        /*144*/ MatCreateMPIMatConcatenateSeqMat_SeqSBAIJ,
    1397:                                        NULL,
    1398:                                        NULL,
    1399:                                        NULL,
    1400:                                        NULL,
    1401:                                        NULL,
    1402:                                        /*150*/ NULL,
    1403:                                        MatEliminateZeros_SeqSBAIJ,
    1404:                                        NULL,
    1405:                                        NULL,
    1406:                                        NULL,
    1407:                                        /*155*/ NULL,
    1408:                                        MatCopyHashToXAIJ_Seq_Hash};

    1410: static PetscErrorCode MatStoreValues_SeqSBAIJ(Mat mat)
    1411: {
    1412:   Mat_SeqSBAIJ *aij = (Mat_SeqSBAIJ *)mat->data;
    1413:   PetscInt      nz  = aij->i[mat->rmap->N] * mat->rmap->bs * aij->bs2;

    1415:   PetscFunctionBegin;
    1416:   PetscCheck(aij->nonew == 1, PETSC_COMM_SELF, PETSC_ERR_ORDER, "Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");

    1418:   /* allocate space for values if not already there */
    1419:   if (!aij->saved_values) PetscCall(PetscMalloc1(nz + 1, &aij->saved_values));

    1421:   /* copy values over */
    1422:   PetscCall(PetscArraycpy(aij->saved_values, aij->a, nz));
    1423:   PetscFunctionReturn(PETSC_SUCCESS);
    1424: }

    1426: static PetscErrorCode MatRetrieveValues_SeqSBAIJ(Mat mat)
    1427: {
    1428:   Mat_SeqSBAIJ *aij = (Mat_SeqSBAIJ *)mat->data;
    1429:   PetscInt      nz  = aij->i[mat->rmap->N] * mat->rmap->bs * aij->bs2;

    1431:   PetscFunctionBegin;
    1432:   PetscCheck(aij->nonew == 1, PETSC_COMM_SELF, PETSC_ERR_ORDER, "Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
    1433:   PetscCheck(aij->saved_values, PETSC_COMM_SELF, PETSC_ERR_ORDER, "Must call MatStoreValues(A);first");

    1435:   /* copy values over */
    1436:   PetscCall(PetscArraycpy(aij->a, aij->saved_values, nz));
    1437:   PetscFunctionReturn(PETSC_SUCCESS);
    1438: }

    1440: static PetscErrorCode MatSeqSBAIJSetPreallocation_SeqSBAIJ(Mat B, PetscInt bs, PetscInt nz, const PetscInt nnz[])
    1441: {
    1442:   Mat_SeqSBAIJ *b = (Mat_SeqSBAIJ *)B->data;
    1443:   PetscInt      i, mbs, nbs, bs2;
    1444:   PetscBool     skipallocation = PETSC_FALSE, flg = PETSC_FALSE, realalloc = PETSC_FALSE;

    1446:   PetscFunctionBegin;
    1447:   if (B->hash_active) {
    1448:     PetscInt bs;
    1449:     B->ops[0] = b->cops;
    1450:     PetscCall(PetscHMapIJVDestroy(&b->ht));
    1451:     PetscCall(MatGetBlockSize(B, &bs));
    1452:     if (bs > 1) PetscCall(PetscHSetIJDestroy(&b->bht));
    1453:     PetscCall(PetscFree(b->dnz));
    1454:     PetscCall(PetscFree(b->bdnz));
    1455:     B->hash_active = PETSC_FALSE;
    1456:   }
    1457:   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;

    1459:   PetscCall(MatSetBlockSize(B, bs));
    1460:   PetscCall(PetscLayoutSetUp(B->rmap));
    1461:   PetscCall(PetscLayoutSetUp(B->cmap));
    1462:   PetscCheck(B->rmap->N <= B->cmap->N, PETSC_COMM_SELF, PETSC_ERR_SUP, "SEQSBAIJ matrix cannot have more rows %" PetscInt_FMT " than columns %" PetscInt_FMT, B->rmap->N, B->cmap->N);
    1463:   PetscCall(PetscLayoutGetBlockSize(B->rmap, &bs));

    1465:   B->preallocated = PETSC_TRUE;

    1467:   mbs = B->rmap->N / bs;
    1468:   nbs = B->cmap->n / bs;
    1469:   bs2 = bs * bs;

    1471:   PetscCheck(mbs * bs == B->rmap->N && nbs * bs == B->cmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Number rows, cols must be divisible by blocksize");

    1473:   if (nz == MAT_SKIP_ALLOCATION) {
    1474:     skipallocation = PETSC_TRUE;
    1475:     nz             = 0;
    1476:   }

    1478:   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 3;
    1479:   PetscCheck(nz >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "nz cannot be less than 0: value %" PetscInt_FMT, nz);
    1480:   if (nnz) {
    1481:     for (i = 0; i < mbs; i++) {
    1482:       PetscCheck(nnz[i] >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "nnz cannot be less than 0: local row %" PetscInt_FMT " value %" PetscInt_FMT, i, nnz[i]);
    1483:       PetscCheck(nnz[i] <= nbs, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "nnz cannot be greater than block row length: local row %" PetscInt_FMT " value %" PetscInt_FMT " block rowlength %" PetscInt_FMT, i, nnz[i], nbs);
    1484:     }
    1485:   }

    1487:   B->ops->mult             = MatMult_SeqSBAIJ_N;
    1488:   B->ops->multadd          = MatMultAdd_SeqSBAIJ_N;
    1489:   B->ops->multtranspose    = MatMult_SeqSBAIJ_N;
    1490:   B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_N;

    1492:   PetscCall(PetscOptionsGetBool(((PetscObject)B)->options, ((PetscObject)B)->prefix, "-mat_no_unroll", &flg, NULL));
    1493:   if (!flg) {
    1494:     switch (bs) {
    1495:     case 1:
    1496:       B->ops->mult             = MatMult_SeqSBAIJ_1;
    1497:       B->ops->multadd          = MatMultAdd_SeqSBAIJ_1;
    1498:       B->ops->multtranspose    = MatMult_SeqSBAIJ_1;
    1499:       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_1;
    1500:       break;
    1501:     case 2:
    1502:       B->ops->mult             = MatMult_SeqSBAIJ_2;
    1503:       B->ops->multadd          = MatMultAdd_SeqSBAIJ_2;
    1504:       B->ops->multtranspose    = MatMult_SeqSBAIJ_2;
    1505:       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_2;
    1506:       break;
    1507:     case 3:
    1508:       B->ops->mult             = MatMult_SeqSBAIJ_3;
    1509:       B->ops->multadd          = MatMultAdd_SeqSBAIJ_3;
    1510:       B->ops->multtranspose    = MatMult_SeqSBAIJ_3;
    1511:       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_3;
    1512:       break;
    1513:     case 4:
    1514:       B->ops->mult             = MatMult_SeqSBAIJ_4;
    1515:       B->ops->multadd          = MatMultAdd_SeqSBAIJ_4;
    1516:       B->ops->multtranspose    = MatMult_SeqSBAIJ_4;
    1517:       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_4;
    1518:       break;
    1519:     case 5:
    1520:       B->ops->mult             = MatMult_SeqSBAIJ_5;
    1521:       B->ops->multadd          = MatMultAdd_SeqSBAIJ_5;
    1522:       B->ops->multtranspose    = MatMult_SeqSBAIJ_5;
    1523:       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_5;
    1524:       break;
    1525:     case 6:
    1526:       B->ops->mult             = MatMult_SeqSBAIJ_6;
    1527:       B->ops->multadd          = MatMultAdd_SeqSBAIJ_6;
    1528:       B->ops->multtranspose    = MatMult_SeqSBAIJ_6;
    1529:       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_6;
    1530:       break;
    1531:     case 7:
    1532:       B->ops->mult             = MatMult_SeqSBAIJ_7;
    1533:       B->ops->multadd          = MatMultAdd_SeqSBAIJ_7;
    1534:       B->ops->multtranspose    = MatMult_SeqSBAIJ_7;
    1535:       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_7;
    1536:       break;
    1537:     }
    1538:   }

    1540:   b->mbs = mbs;
    1541:   b->nbs = nbs;
    1542:   if (!skipallocation) {
    1543:     if (!b->imax) {
    1544:       PetscCall(PetscMalloc2(mbs, &b->imax, mbs, &b->ilen));

    1546:       b->free_imax_ilen = PETSC_TRUE;
    1547:     }
    1548:     if (!nnz) {
    1549:       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
    1550:       else if (nz <= 0) nz = 1;
    1551:       nz = PetscMin(nbs, nz);
    1552:       for (i = 0; i < mbs; i++) b->imax[i] = nz;
    1553:       PetscCall(PetscIntMultError(nz, mbs, &nz));
    1554:     } else {
    1555:       PetscInt64 nz64 = 0;
    1556:       for (i = 0; i < mbs; i++) {
    1557:         b->imax[i] = nnz[i];
    1558:         nz64 += nnz[i];
    1559:       }
    1560:       PetscCall(PetscIntCast(nz64, &nz));
    1561:     }
    1562:     /* b->ilen will count nonzeros in each block row so far. */
    1563:     for (i = 0; i < mbs; i++) b->ilen[i] = 0;
    1564:     /* nz=(nz+mbs)/2; */ /* total diagonal and superdiagonal nonzero blocks */

    1566:     /* allocate the matrix space */
    1567:     PetscCall(MatSeqXAIJFreeAIJ(B, &b->a, &b->j, &b->i));
    1568:     PetscCall(PetscShmgetAllocateArray(bs2 * nz, sizeof(PetscScalar), (void **)&b->a));
    1569:     PetscCall(PetscShmgetAllocateArray(nz, sizeof(PetscInt), (void **)&b->j));
    1570:     PetscCall(PetscShmgetAllocateArray(B->rmap->n + 1, sizeof(PetscInt), (void **)&b->i));
    1571:     b->free_a  = PETSC_TRUE;
    1572:     b->free_ij = PETSC_TRUE;
    1573:     PetscCall(PetscArrayzero(b->a, nz * bs2));
    1574:     PetscCall(PetscArrayzero(b->j, nz));
    1575:     b->free_a  = PETSC_TRUE;
    1576:     b->free_ij = PETSC_TRUE;

    1578:     /* pointer to beginning of each row */
    1579:     b->i[0] = 0;
    1580:     for (i = 1; i < mbs + 1; i++) b->i[i] = b->i[i - 1] + b->imax[i - 1];

    1582:   } else {
    1583:     b->free_a  = PETSC_FALSE;
    1584:     b->free_ij = PETSC_FALSE;
    1585:   }

    1587:   b->bs2     = bs2;
    1588:   b->nz      = 0;
    1589:   b->maxnz   = nz;
    1590:   b->inew    = NULL;
    1591:   b->jnew    = NULL;
    1592:   b->anew    = NULL;
    1593:   b->a2anew  = NULL;
    1594:   b->permute = PETSC_FALSE;

    1596:   B->was_assembled = PETSC_FALSE;
    1597:   B->assembled     = PETSC_FALSE;
    1598:   if (realalloc) PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
    1599:   PetscFunctionReturn(PETSC_SUCCESS);
    1600: }

    1602: static PetscErrorCode MatSeqSBAIJSetPreallocationCSR_SeqSBAIJ(Mat B, PetscInt bs, const PetscInt ii[], const PetscInt jj[], const PetscScalar V[])
    1603: {
    1604:   PetscInt      i, j, m, nz, anz, nz_max = 0, *nnz;
    1605:   PetscScalar  *values      = NULL;
    1606:   Mat_SeqSBAIJ *b           = (Mat_SeqSBAIJ *)B->data;
    1607:   PetscBool     roworiented = b->roworiented;
    1608:   PetscBool     ilw         = b->ignore_ltriangular;

    1610:   PetscFunctionBegin;
    1611:   PetscCheck(bs >= 1, PetscObjectComm((PetscObject)B), PETSC_ERR_ARG_OUTOFRANGE, "Invalid block size specified, must be positive but it is %" PetscInt_FMT, bs);
    1612:   PetscCall(PetscLayoutSetBlockSize(B->rmap, bs));
    1613:   PetscCall(PetscLayoutSetBlockSize(B->cmap, bs));
    1614:   PetscCall(PetscLayoutSetUp(B->rmap));
    1615:   PetscCall(PetscLayoutSetUp(B->cmap));
    1616:   PetscCall(PetscLayoutGetBlockSize(B->rmap, &bs));
    1617:   m = B->rmap->n / bs;

    1619:   PetscCheck(!ii[0], PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "ii[0] must be 0 but it is %" PetscInt_FMT, ii[0]);
    1620:   PetscCall(PetscMalloc1(m + 1, &nnz));
    1621:   for (i = 0; i < m; i++) {
    1622:     nz = ii[i + 1] - ii[i];
    1623:     PetscCheck(nz >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Row %" PetscInt_FMT " has a negative number of columns %" PetscInt_FMT, i, nz);
    1624:     PetscCheckSorted(nz, jj + ii[i]);
    1625:     anz = 0;
    1626:     for (j = 0; j < nz; j++) {
    1627:       /* count only values on the diagonal or above */
    1628:       if (jj[ii[i] + j] >= i) {
    1629:         anz = nz - j;
    1630:         break;
    1631:       }
    1632:     }
    1633:     nz_max = PetscMax(nz_max, nz);
    1634:     nnz[i] = anz;
    1635:   }
    1636:   PetscCall(MatSeqSBAIJSetPreallocation(B, bs, 0, nnz));
    1637:   PetscCall(PetscFree(nnz));

    1639:   values = (PetscScalar *)V;
    1640:   if (!values) PetscCall(PetscCalloc1(bs * bs * nz_max, &values));
    1641:   b->ignore_ltriangular = PETSC_TRUE;
    1642:   for (i = 0; i < m; i++) {
    1643:     PetscInt        ncols = ii[i + 1] - ii[i];
    1644:     const PetscInt *icols = jj + ii[i];

    1646:     if (!roworiented || bs == 1) {
    1647:       const PetscScalar *svals = values + (V ? (bs * bs * ii[i]) : 0);
    1648:       PetscCall(MatSetValuesBlocked_SeqSBAIJ(B, 1, &i, ncols, icols, svals, INSERT_VALUES));
    1649:     } else {
    1650:       for (j = 0; j < ncols; j++) {
    1651:         const PetscScalar *svals = values + (V ? (bs * bs * (ii[i] + j)) : 0);
    1652:         PetscCall(MatSetValuesBlocked_SeqSBAIJ(B, 1, &i, 1, &icols[j], svals, INSERT_VALUES));
    1653:       }
    1654:     }
    1655:   }
    1656:   if (!V) PetscCall(PetscFree(values));
    1657:   PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY));
    1658:   PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY));
    1659:   PetscCall(MatSetOption(B, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
    1660:   b->ignore_ltriangular = ilw;
    1661:   PetscFunctionReturn(PETSC_SUCCESS);
    1662: }

    1664: /*
    1665:    This is used to set the numeric factorization for both Cholesky and ICC symbolic factorization
    1666: */
    1667: PetscErrorCode MatSeqSBAIJSetNumericFactorization_inplace(Mat B, PetscBool natural)
    1668: {
    1669:   PetscBool flg = PETSC_FALSE;
    1670:   PetscInt  bs  = B->rmap->bs;

    1672:   PetscFunctionBegin;
    1673:   PetscCall(PetscOptionsGetBool(((PetscObject)B)->options, ((PetscObject)B)->prefix, "-mat_no_unroll", &flg, NULL));
    1674:   if (flg) bs = 8;

    1676:   if (!natural) {
    1677:     switch (bs) {
    1678:     case 1:
    1679:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_1_inplace;
    1680:       break;
    1681:     case 2:
    1682:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_2;
    1683:       break;
    1684:     case 3:
    1685:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_3;
    1686:       break;
    1687:     case 4:
    1688:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_4;
    1689:       break;
    1690:     case 5:
    1691:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_5;
    1692:       break;
    1693:     case 6:
    1694:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_6;
    1695:       break;
    1696:     case 7:
    1697:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_7;
    1698:       break;
    1699:     default:
    1700:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_N;
    1701:       break;
    1702:     }
    1703:   } else {
    1704:     switch (bs) {
    1705:     case 1:
    1706:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_1_NaturalOrdering_inplace;
    1707:       break;
    1708:     case 2:
    1709:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_2_NaturalOrdering;
    1710:       break;
    1711:     case 3:
    1712:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_3_NaturalOrdering;
    1713:       break;
    1714:     case 4:
    1715:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_4_NaturalOrdering;
    1716:       break;
    1717:     case 5:
    1718:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_5_NaturalOrdering;
    1719:       break;
    1720:     case 6:
    1721:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_6_NaturalOrdering;
    1722:       break;
    1723:     case 7:
    1724:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_7_NaturalOrdering;
    1725:       break;
    1726:     default:
    1727:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_N_NaturalOrdering;
    1728:       break;
    1729:     }
    1730:   }
    1731:   PetscFunctionReturn(PETSC_SUCCESS);
    1732: }

    1734: PETSC_INTERN PetscErrorCode MatConvert_SeqSBAIJ_SeqAIJ(Mat, MatType, MatReuse, Mat *);
    1735: PETSC_INTERN PetscErrorCode MatConvert_SeqSBAIJ_SeqBAIJ(Mat, MatType, MatReuse, Mat *);
    1736: static PetscErrorCode       MatFactorGetSolverType_petsc(Mat A, MatSolverType *type)
    1737: {
    1738:   PetscFunctionBegin;
    1739:   *type = MATSOLVERPETSC;
    1740:   PetscFunctionReturn(PETSC_SUCCESS);
    1741: }

    1743: PETSC_INTERN PetscErrorCode MatGetFactor_seqsbaij_petsc(Mat A, MatFactorType ftype, Mat *B)
    1744: {
    1745:   PetscInt n = A->rmap->n;

    1747:   PetscFunctionBegin;
    1748: #if defined(PETSC_USE_COMPLEX)
    1749:   if ((ftype == MAT_FACTOR_CHOLESKY || ftype == MAT_FACTOR_ICC) && A->hermitian == PETSC_BOOL3_TRUE && A->symmetric != PETSC_BOOL3_TRUE) {
    1750:     PetscCall(PetscInfo(A, "Hermitian MAT_FACTOR_CHOLESKY or MAT_FACTOR_ICC are not supported. Use MAT_FACTOR_LU instead.\n"));
    1751:     *B = NULL;
    1752:     PetscFunctionReturn(PETSC_SUCCESS);
    1753:   }
    1754: #endif

    1756:   PetscCall(MatCreate(PetscObjectComm((PetscObject)A), B));
    1757:   PetscCall(MatSetSizes(*B, n, n, n, n));
    1758:   if (ftype == MAT_FACTOR_CHOLESKY || ftype == MAT_FACTOR_ICC) {
    1759:     PetscCall(MatSetType(*B, MATSEQSBAIJ));
    1760:     PetscCall(MatSeqSBAIJSetPreallocation(*B, A->rmap->bs, MAT_SKIP_ALLOCATION, NULL));

    1762:     (*B)->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_SeqSBAIJ;
    1763:     (*B)->ops->iccfactorsymbolic      = MatICCFactorSymbolic_SeqSBAIJ;
    1764:     PetscCall(PetscStrallocpy(MATORDERINGNATURAL, (char **)&(*B)->preferredordering[MAT_FACTOR_CHOLESKY]));
    1765:     PetscCall(PetscStrallocpy(MATORDERINGNATURAL, (char **)&(*B)->preferredordering[MAT_FACTOR_ICC]));
    1766:   } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "Factor type not supported");

    1768:   (*B)->factortype     = ftype;
    1769:   (*B)->canuseordering = PETSC_TRUE;
    1770:   PetscCall(PetscFree((*B)->solvertype));
    1771:   PetscCall(PetscStrallocpy(MATSOLVERPETSC, &(*B)->solvertype));
    1772:   PetscCall(PetscObjectComposeFunction((PetscObject)*B, "MatFactorGetSolverType_C", MatFactorGetSolverType_petsc));
    1773:   PetscFunctionReturn(PETSC_SUCCESS);
    1774: }

    1776: /*@C
    1777:   MatSeqSBAIJGetArray - gives access to the array where the numerical data for a `MATSEQSBAIJ` matrix is stored

    1779:   Not Collective

    1781:   Input Parameter:
    1782: . A - a `MATSEQSBAIJ` matrix

    1784:   Output Parameter:
    1785: . array - pointer to the data

    1787:   Level: intermediate

    1789: .seealso: [](ch_matrices), `Mat`, `MATSEQSBAIJ`, `MatSeqSBAIJRestoreArray()`, `MatSeqAIJGetArray()`, `MatSeqAIJRestoreArray()`
    1790: @*/
    1791: PetscErrorCode MatSeqSBAIJGetArray(Mat A, PetscScalar *array[])
    1792: {
    1793:   PetscFunctionBegin;
    1794:   PetscUseMethod(A, "MatSeqSBAIJGetArray_C", (Mat, PetscScalar **), (A, array));
    1795:   PetscFunctionReturn(PETSC_SUCCESS);
    1796: }

    1798: /*@C
    1799:   MatSeqSBAIJRestoreArray - returns access to the array where the numerical data for a `MATSEQSBAIJ` matrix is stored obtained by `MatSeqSBAIJGetArray()`

    1801:   Not Collective

    1803:   Input Parameters:
    1804: + A     - a `MATSEQSBAIJ` matrix
    1805: - array - pointer to the data

    1807:   Level: intermediate

    1809: .seealso: [](ch_matrices), `Mat`, `MATSEQSBAIJ`, `MatSeqSBAIJGetArray()`, `MatSeqAIJGetArray()`, `MatSeqAIJRestoreArray()`
    1810: @*/
    1811: PetscErrorCode MatSeqSBAIJRestoreArray(Mat A, PetscScalar *array[])
    1812: {
    1813:   PetscFunctionBegin;
    1814:   PetscUseMethod(A, "MatSeqSBAIJRestoreArray_C", (Mat, PetscScalar **), (A, array));
    1815:   PetscFunctionReturn(PETSC_SUCCESS);
    1816: }

    1818: /*MC
    1819:   MATSEQSBAIJ - MATSEQSBAIJ = "seqsbaij" - A matrix type to be used for sequential symmetric block sparse matrices,
    1820:   based on block compressed sparse row format.  Only the upper triangular portion of the matrix is stored.

    1822:   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
    1823:   can call `MatSetOption`(`Mat`, `MAT_HERMITIAN`).

    1825:   Options Database Key:
    1826:   . -mat_type seqsbaij - sets the matrix type to "seqsbaij" during a call to `MatSetFromOptions()`

    1828:   Level: beginner

    1830:   Notes:
    1831:   By default if you insert values into the lower triangular part of the matrix they are simply ignored (since they are not
    1832:   stored and it is assumed they symmetric to the upper triangular). If you call `MatSetOption`(`Mat`,`MAT_IGNORE_LOWER_TRIANGULAR`,`PETSC_FALSE`) or use
    1833:   the options database `-mat_ignore_lower_triangular` false it will generate an error if you try to set a value in the lower triangular portion.

    1835:   The number of rows in the matrix must be less than or equal to the number of columns

    1837: .seealso: [](ch_matrices), `Mat`, `MATSEQSBAIJ`, `MatCreateSeqSBAIJ()`, `MatType`, `MATMPISBAIJ`
    1838: M*/
    1839: PETSC_EXTERN PetscErrorCode MatCreate_SeqSBAIJ(Mat B)
    1840: {
    1841:   Mat_SeqSBAIJ *b;
    1842:   PetscMPIInt   size;
    1843:   PetscBool     no_unroll = PETSC_FALSE, no_inode = PETSC_FALSE;

    1845:   PetscFunctionBegin;
    1846:   PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)B), &size));
    1847:   PetscCheck(size <= 1, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Comm must be of size 1");

    1849:   PetscCall(PetscNew(&b));
    1850:   B->data   = (void *)b;
    1851:   B->ops[0] = MatOps_Values;

    1853:   B->ops->destroy    = MatDestroy_SeqSBAIJ;
    1854:   B->ops->view       = MatView_SeqSBAIJ;
    1855:   b->row             = NULL;
    1856:   b->icol            = NULL;
    1857:   b->reallocs        = 0;
    1858:   b->saved_values    = NULL;
    1859:   b->inode.limit     = 5;
    1860:   b->inode.max_limit = 5;

    1862:   b->roworiented        = PETSC_TRUE;
    1863:   b->nonew              = 0;
    1864:   b->diag               = NULL;
    1865:   b->solve_work         = NULL;
    1866:   b->mult_work          = NULL;
    1867:   B->spptr              = NULL;
    1868:   B->info.nz_unneeded   = (PetscReal)b->maxnz * b->bs2;
    1869:   b->keepnonzeropattern = PETSC_FALSE;

    1871:   b->inew    = NULL;
    1872:   b->jnew    = NULL;
    1873:   b->anew    = NULL;
    1874:   b->a2anew  = NULL;
    1875:   b->permute = PETSC_FALSE;

    1877:   b->ignore_ltriangular = PETSC_TRUE;

    1879:   PetscCall(PetscOptionsGetBool(((PetscObject)B)->options, ((PetscObject)B)->prefix, "-mat_ignore_lower_triangular", &b->ignore_ltriangular, NULL));

    1881:   b->getrow_utriangular = PETSC_FALSE;

    1883:   PetscCall(PetscOptionsGetBool(((PetscObject)B)->options, ((PetscObject)B)->prefix, "-mat_getrow_uppertriangular", &b->getrow_utriangular, NULL));

    1885:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSeqSBAIJGetArray_C", MatSeqSBAIJGetArray_SeqSBAIJ));
    1886:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSeqSBAIJRestoreArray_C", MatSeqSBAIJRestoreArray_SeqSBAIJ));
    1887:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatStoreValues_C", MatStoreValues_SeqSBAIJ));
    1888:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatRetrieveValues_C", MatRetrieveValues_SeqSBAIJ));
    1889:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSeqSBAIJSetColumnIndices_C", MatSeqSBAIJSetColumnIndices_SeqSBAIJ));
    1890:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqsbaij_seqaij_C", MatConvert_SeqSBAIJ_SeqAIJ));
    1891:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqsbaij_seqbaij_C", MatConvert_SeqSBAIJ_SeqBAIJ));
    1892:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSeqSBAIJSetPreallocation_C", MatSeqSBAIJSetPreallocation_SeqSBAIJ));
    1893:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSeqSBAIJSetPreallocationCSR_C", MatSeqSBAIJSetPreallocationCSR_SeqSBAIJ));
    1894: #if defined(PETSC_HAVE_ELEMENTAL)
    1895:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqsbaij_elemental_C", MatConvert_SeqSBAIJ_Elemental));
    1896: #endif
    1897: #if defined(PETSC_HAVE_SCALAPACK)
    1898:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqsbaij_scalapack_C", MatConvert_SBAIJ_ScaLAPACK));
    1899: #endif

    1901:   B->symmetry_eternal            = PETSC_TRUE;
    1902:   B->structural_symmetry_eternal = PETSC_TRUE;
    1903:   B->symmetric                   = PETSC_BOOL3_TRUE;
    1904:   B->structurally_symmetric      = PETSC_BOOL3_TRUE;
    1905: #if defined(PETSC_USE_COMPLEX)
    1906:   B->hermitian = PETSC_BOOL3_FALSE;
    1907: #else
    1908:   B->hermitian = PETSC_BOOL3_TRUE;
    1909: #endif

    1911:   PetscCall(PetscObjectChangeTypeName((PetscObject)B, MATSEQSBAIJ));

    1913:   PetscOptionsBegin(PetscObjectComm((PetscObject)B), ((PetscObject)B)->prefix, "Options for SEQSBAIJ matrix", "Mat");
    1914:   PetscCall(PetscOptionsBool("-mat_no_unroll", "Do not optimize for inodes (slower)", NULL, no_unroll, &no_unroll, NULL));
    1915:   if (no_unroll) PetscCall(PetscInfo(B, "Not using Inode routines due to -mat_no_unroll\n"));
    1916:   PetscCall(PetscOptionsBool("-mat_no_inode", "Do not optimize for inodes (slower)", NULL, no_inode, &no_inode, NULL));
    1917:   if (no_inode) PetscCall(PetscInfo(B, "Not using Inode routines due to -mat_no_inode\n"));
    1918:   PetscCall(PetscOptionsInt("-mat_inode_limit", "Do not use inodes larger then this value", NULL, b->inode.limit, &b->inode.limit, NULL));
    1919:   PetscOptionsEnd();
    1920:   b->inode.use = (PetscBool)(!(no_unroll || no_inode));
    1921:   if (b->inode.limit > b->inode.max_limit) b->inode.limit = b->inode.max_limit;
    1922:   PetscFunctionReturn(PETSC_SUCCESS);
    1923: }

    1925: /*@
    1926:   MatSeqSBAIJSetPreallocation - Creates a sparse symmetric matrix in block AIJ (block
    1927:   compressed row) `MATSEQSBAIJ` format.  For good matrix assembly performance the
    1928:   user should preallocate the matrix storage by setting the parameter `nz`
    1929:   (or the array `nnz`).

    1931:   Collective

    1933:   Input Parameters:
    1934: + B   - the symmetric matrix
    1935: . bs  - size of block, the blocks are ALWAYS square. One can use `MatSetBlockSizes()` to set a different row and column blocksize but the row
    1936:         blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with `MatCreateVecs()`
    1937: . nz  - number of block nonzeros per block row (same for all rows)
    1938: - nnz - array containing the number of block nonzeros in the upper triangular plus
    1939:         diagonal portion of each block (possibly different for each block row) or `NULL`

    1941:   Options Database Keys:
    1942: + -mat_no_unroll  - uses code that does not unroll the loops in the block calculations (much slower)
    1943: - -mat_block_size - size of the blocks to use (only works if a negative bs is passed in

    1945:   Level: intermediate

    1947:   Notes:
    1948:   Specify the preallocated storage with either `nz` or `nnz` (not both).
    1949:   Set `nz` = `PETSC_DEFAULT` and `nnz` = `NULL` for PETSc to control dynamic memory
    1950:   allocation.  See [Sparse Matrices](sec_matsparse) for details.

    1952:   You can call `MatGetInfo()` to get information on how effective the preallocation was;
    1953:   for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
    1954:   You can also run with the option `-info` and look for messages with the string
    1955:   malloc in them to see if additional memory allocation was needed.

    1957:   If the `nnz` parameter is given then the `nz` parameter is ignored

    1959: .seealso: [](ch_matrices), `Mat`, [Sparse Matrices](sec_matsparse), `MATSEQSBAIJ`, `MatCreate()`, `MatCreateSeqAIJ()`, `MatSetValues()`, `MatCreateSBAIJ()`
    1960: @*/
    1961: PetscErrorCode MatSeqSBAIJSetPreallocation(Mat B, PetscInt bs, PetscInt nz, const PetscInt nnz[])
    1962: {
    1963:   PetscFunctionBegin;
    1967:   PetscTryMethod(B, "MatSeqSBAIJSetPreallocation_C", (Mat, PetscInt, PetscInt, const PetscInt[]), (B, bs, nz, nnz));
    1968:   PetscFunctionReturn(PETSC_SUCCESS);
    1969: }

    1971: /*@C
    1972:   MatSeqSBAIJSetPreallocationCSR - Creates a sparse parallel matrix in `MATSEQSBAIJ` format using the given nonzero structure and (optional) numerical values

    1974:   Input Parameters:
    1975: + B  - the matrix
    1976: . bs - size of block, the blocks are ALWAYS square.
    1977: . i  - the indices into `j` for the start of each local row (indices start with zero)
    1978: . j  - the column indices for each local row (indices start with zero) these must be sorted for each row
    1979: - v  - optional values in the matrix, use `NULL` if not provided

    1981:   Level: advanced

    1983:   Notes:
    1984:   The `i`,`j`,`v` values are COPIED with this routine; to avoid the copy use `MatCreateSeqSBAIJWithArrays()`

    1986:   The order of the entries in values is specified by the `MatOption` `MAT_ROW_ORIENTED`.  For example, C programs
    1987:   may want to use the default `MAT_ROW_ORIENTED` = `PETSC_TRUE` and use an array v[nnz][bs][bs] where the second index is
    1988:   over rows within a block and the last index is over columns within a block row.  Fortran programs will likely set
    1989:   `MAT_ROW_ORIENTED` = `PETSC_FALSE` and use a Fortran array v(bs,bs,nnz) in which the first index is over rows within a
    1990:   block column and the second index is over columns within a block.

    1992:   Any entries provided that lie below the diagonal are ignored

    1994:   Though this routine has Preallocation() in the name it also sets the exact nonzero locations of the matrix entries
    1995:   and usually the numerical values as well

    1997: .seealso: [](ch_matrices), `Mat`, `MATSEQSBAIJ`, `MatCreate()`, `MatCreateSeqSBAIJ()`, `MatSetValuesBlocked()`, `MatSeqSBAIJSetPreallocation()`
    1998: @*/
    1999: PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat B, PetscInt bs, const PetscInt i[], const PetscInt j[], const PetscScalar v[])
    2000: {
    2001:   PetscFunctionBegin;
    2005:   PetscTryMethod(B, "MatSeqSBAIJSetPreallocationCSR_C", (Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]), (B, bs, i, j, v));
    2006:   PetscFunctionReturn(PETSC_SUCCESS);
    2007: }

    2009: /*@
    2010:   MatCreateSeqSBAIJ - Creates a sparse symmetric matrix in (block
    2011:   compressed row) `MATSEQSBAIJ` format.  For good matrix assembly performance the
    2012:   user should preallocate the matrix storage by setting the parameter `nz`
    2013:   (or the array `nnz`).

    2015:   Collective

    2017:   Input Parameters:
    2018: + comm - MPI communicator, set to `PETSC_COMM_SELF`
    2019: . bs   - size of block, the blocks are ALWAYS square. One can use `MatSetBlockSizes()` to set a different row and column blocksize but the row
    2020:           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
    2021: . m    - number of rows
    2022: . n    - number of columns
    2023: . nz   - number of block nonzeros per block row (same for all rows)
    2024: - nnz  - array containing the number of block nonzeros in the upper triangular plus
    2025:          diagonal portion of each block (possibly different for each block row) or `NULL`

    2027:   Output Parameter:
    2028: . A - the symmetric matrix

    2030:   Options Database Keys:
    2031: + -mat_no_unroll  - uses code that does not unroll the loops in the block calculations (much slower)
    2032: - -mat_block_size - size of the blocks to use

    2034:   Level: intermediate

    2036:   Notes:
    2037:   It is recommended that one use `MatCreateFromOptions()` or the `MatCreate()`, `MatSetType()` and/or `MatSetFromOptions()`,
    2038:   MatXXXXSetPreallocation() paradigm instead of this routine directly.
    2039:   [MatXXXXSetPreallocation() is, for example, `MatSeqAIJSetPreallocation()`]

    2041:   The number of rows and columns must be divisible by blocksize.
    2042:   This matrix type does not support complex Hermitian operation.

    2044:   Specify the preallocated storage with either `nz` or `nnz` (not both).
    2045:   Set `nz` = `PETSC_DEFAULT` and `nnz` = `NULL` for PETSc to control dynamic memory
    2046:   allocation.  See [Sparse Matrices](sec_matsparse) for details.

    2048:   If the `nnz` parameter is given then the `nz` parameter is ignored

    2050: .seealso: [](ch_matrices), `Mat`, [Sparse Matrices](sec_matsparse), `MATSEQSBAIJ`, `MatCreate()`, `MatCreateSeqAIJ()`, `MatSetValues()`, `MatCreateSBAIJ()`
    2051: @*/
    2052: PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm comm, PetscInt bs, PetscInt m, PetscInt n, PetscInt nz, const PetscInt nnz[], Mat *A)
    2053: {
    2054:   PetscFunctionBegin;
    2055:   PetscCall(MatCreate(comm, A));
    2056:   PetscCall(MatSetSizes(*A, m, n, m, n));
    2057:   PetscCall(MatSetType(*A, MATSEQSBAIJ));
    2058:   PetscCall(MatSeqSBAIJSetPreallocation(*A, bs, nz, (PetscInt *)nnz));
    2059:   PetscFunctionReturn(PETSC_SUCCESS);
    2060: }

    2062: PetscErrorCode MatDuplicate_SeqSBAIJ(Mat A, MatDuplicateOption cpvalues, Mat *B)
    2063: {
    2064:   Mat           C;
    2065:   Mat_SeqSBAIJ *c, *a  = (Mat_SeqSBAIJ *)A->data;
    2066:   PetscInt      i, mbs = a->mbs, nz = a->nz, bs2 = a->bs2;

    2068:   PetscFunctionBegin;
    2069:   PetscCheck(A->assembled, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_WRONGSTATE, "Cannot duplicate unassembled matrix");
    2070:   PetscCheck(a->i[mbs] == nz, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Corrupt matrix");

    2072:   *B = NULL;
    2073:   PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &C));
    2074:   PetscCall(MatSetSizes(C, A->rmap->N, A->cmap->n, A->rmap->N, A->cmap->n));
    2075:   PetscCall(MatSetBlockSizesFromMats(C, A, A));
    2076:   PetscCall(MatSetType(C, MATSEQSBAIJ));
    2077:   c = (Mat_SeqSBAIJ *)C->data;

    2079:   C->preallocated       = PETSC_TRUE;
    2080:   C->factortype         = A->factortype;
    2081:   c->row                = NULL;
    2082:   c->icol               = NULL;
    2083:   c->saved_values       = NULL;
    2084:   c->keepnonzeropattern = a->keepnonzeropattern;
    2085:   C->assembled          = PETSC_TRUE;

    2087:   PetscCall(PetscLayoutReference(A->rmap, &C->rmap));
    2088:   PetscCall(PetscLayoutReference(A->cmap, &C->cmap));
    2089:   c->bs2 = a->bs2;
    2090:   c->mbs = a->mbs;
    2091:   c->nbs = a->nbs;

    2093:   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
    2094:     c->imax           = a->imax;
    2095:     c->ilen           = a->ilen;
    2096:     c->free_imax_ilen = PETSC_FALSE;
    2097:   } else {
    2098:     PetscCall(PetscMalloc2(mbs + 1, &c->imax, mbs + 1, &c->ilen));
    2099:     for (i = 0; i < mbs; i++) {
    2100:       c->imax[i] = a->imax[i];
    2101:       c->ilen[i] = a->ilen[i];
    2102:     }
    2103:     c->free_imax_ilen = PETSC_TRUE;
    2104:   }

    2106:   /* allocate the matrix space */
    2107:   PetscCall(PetscShmgetAllocateArray(bs2 * nz, sizeof(PetscScalar), (void **)&c->a));
    2108:   c->free_a = PETSC_TRUE;
    2109:   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
    2110:     PetscCall(PetscArrayzero(c->a, bs2 * nz));
    2111:     c->i       = a->i;
    2112:     c->j       = a->j;
    2113:     c->free_ij = PETSC_FALSE;
    2114:     c->parent  = A;
    2115:     PetscCall(PetscObjectReference((PetscObject)A));
    2116:     PetscCall(MatSetOption(A, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
    2117:     PetscCall(MatSetOption(C, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
    2118:   } else {
    2119:     PetscCall(PetscShmgetAllocateArray(nz, sizeof(PetscInt), (void **)&c->j));
    2120:     PetscCall(PetscShmgetAllocateArray(mbs + 1, sizeof(PetscInt), (void **)&c->i));
    2121:     PetscCall(PetscArraycpy(c->i, a->i, mbs + 1));
    2122:     c->free_ij = PETSC_TRUE;
    2123:   }
    2124:   if (mbs > 0) {
    2125:     if (cpvalues != MAT_SHARE_NONZERO_PATTERN) PetscCall(PetscArraycpy(c->j, a->j, nz));
    2126:     if (cpvalues == MAT_COPY_VALUES) {
    2127:       PetscCall(PetscArraycpy(c->a, a->a, bs2 * nz));
    2128:     } else {
    2129:       PetscCall(PetscArrayzero(c->a, bs2 * nz));
    2130:     }
    2131:     if (a->jshort) {
    2132:       /* cannot share jshort, it is reallocated in MatAssemblyEnd_SeqSBAIJ() */
    2133:       /* if the parent matrix is reassembled, this child matrix will never notice */
    2134:       PetscCall(PetscMalloc1(nz, &c->jshort));
    2135:       PetscCall(PetscArraycpy(c->jshort, a->jshort, nz));

    2137:       c->free_jshort = PETSC_TRUE;
    2138:     }
    2139:   }

    2141:   c->roworiented = a->roworiented;
    2142:   c->nonew       = a->nonew;

    2144:   if (a->diag) {
    2145:     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
    2146:       c->diag      = a->diag;
    2147:       c->free_diag = PETSC_FALSE;
    2148:     } else {
    2149:       PetscCall(PetscMalloc1(mbs, &c->diag));
    2150:       for (i = 0; i < mbs; i++) c->diag[i] = a->diag[i];
    2151:       c->free_diag = PETSC_TRUE;
    2152:     }
    2153:   }
    2154:   c->nz         = a->nz;
    2155:   c->maxnz      = a->nz; /* Since we allocate exactly the right amount */
    2156:   c->solve_work = NULL;
    2157:   c->mult_work  = NULL;

    2159:   *B = C;
    2160:   PetscCall(PetscFunctionListDuplicate(((PetscObject)A)->qlist, &((PetscObject)C)->qlist));
    2161:   PetscFunctionReturn(PETSC_SUCCESS);
    2162: }

    2164: /* Used for both SeqBAIJ and SeqSBAIJ matrices */
    2165: #define MatLoad_SeqSBAIJ_Binary MatLoad_SeqBAIJ_Binary

    2167: PetscErrorCode MatLoad_SeqSBAIJ(Mat mat, PetscViewer viewer)
    2168: {
    2169:   PetscBool isbinary;

    2171:   PetscFunctionBegin;
    2172:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
    2173:   PetscCheck(isbinary, PetscObjectComm((PetscObject)viewer), PETSC_ERR_SUP, "Viewer type %s not yet supported for reading %s matrices", ((PetscObject)viewer)->type_name, ((PetscObject)mat)->type_name);
    2174:   PetscCall(MatLoad_SeqSBAIJ_Binary(mat, viewer));
    2175:   PetscFunctionReturn(PETSC_SUCCESS);
    2176: }

    2178: /*@
    2179:   MatCreateSeqSBAIJWithArrays - Creates an sequential `MATSEQSBAIJ` matrix using matrix elements
    2180:   (upper triangular entries in CSR format) provided by the user.

    2182:   Collective

    2184:   Input Parameters:
    2185: + comm - must be an MPI communicator of size 1
    2186: . bs   - size of block
    2187: . m    - number of rows
    2188: . n    - number of columns
    2189: . i    - row indices; that is i[0] = 0, i[row] = i[row-1] + number of block elements in that row block row of the matrix
    2190: . j    - column indices
    2191: - a    - matrix values

    2193:   Output Parameter:
    2194: . mat - the matrix

    2196:   Level: advanced

    2198:   Notes:
    2199:   The `i`, `j`, and `a` arrays are not copied by this routine, the user must free these arrays
    2200:   once the matrix is destroyed

    2202:   You cannot set new nonzero locations into this matrix, that will generate an error.

    2204:   The `i` and `j` indices are 0 based

    2206:   When block size is greater than 1 the matrix values must be stored using the `MATSBAIJ` storage format. For block size of 1
    2207:   it is the regular CSR format excluding the lower triangular elements.

    2209: .seealso: [](ch_matrices), `Mat`, `MATSEQSBAIJ`, `MatCreate()`, `MatCreateSBAIJ()`, `MatCreateSeqSBAIJ()`
    2210: @*/
    2211: PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm comm, PetscInt bs, PetscInt m, PetscInt n, PetscInt i[], PetscInt j[], PetscScalar a[], Mat *mat)
    2212: {
    2213:   PetscInt      ii;
    2214:   Mat_SeqSBAIJ *sbaij;

    2216:   PetscFunctionBegin;
    2217:   PetscCheck(bs == 1, PETSC_COMM_SELF, PETSC_ERR_SUP, "block size %" PetscInt_FMT " > 1 is not supported yet", bs);
    2218:   PetscCheck(m == 0 || i[0] == 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "i (row indices) must start with 0");

    2220:   PetscCall(MatCreate(comm, mat));
    2221:   PetscCall(MatSetSizes(*mat, m, n, m, n));
    2222:   PetscCall(MatSetType(*mat, MATSEQSBAIJ));
    2223:   PetscCall(MatSeqSBAIJSetPreallocation(*mat, bs, MAT_SKIP_ALLOCATION, NULL));
    2224:   sbaij = (Mat_SeqSBAIJ *)(*mat)->data;
    2225:   PetscCall(PetscMalloc2(m, &sbaij->imax, m, &sbaij->ilen));

    2227:   sbaij->i = i;
    2228:   sbaij->j = j;
    2229:   sbaij->a = a;

    2231:   sbaij->nonew          = -1; /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
    2232:   sbaij->free_a         = PETSC_FALSE;
    2233:   sbaij->free_ij        = PETSC_FALSE;
    2234:   sbaij->free_imax_ilen = PETSC_TRUE;

    2236:   for (ii = 0; ii < m; ii++) {
    2237:     sbaij->ilen[ii] = sbaij->imax[ii] = i[ii + 1] - i[ii];
    2238:     PetscCheck(i[ii + 1] >= i[ii], PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Negative row length in i (row indices) row = %" PetscInt_FMT " length = %" PetscInt_FMT, ii, i[ii + 1] - i[ii]);
    2239:   }
    2240:   if (PetscDefined(USE_DEBUG)) {
    2241:     for (ii = 0; ii < sbaij->i[m]; ii++) {
    2242:       PetscCheck(j[ii] >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Negative column index at location = %" PetscInt_FMT " index = %" PetscInt_FMT, ii, j[ii]);
    2243:       PetscCheck(j[ii] < n, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Column index too large at location = %" PetscInt_FMT " index = %" PetscInt_FMT, ii, j[ii]);
    2244:     }
    2245:   }

    2247:   PetscCall(MatAssemblyBegin(*mat, MAT_FINAL_ASSEMBLY));
    2248:   PetscCall(MatAssemblyEnd(*mat, MAT_FINAL_ASSEMBLY));
    2249:   PetscFunctionReturn(PETSC_SUCCESS);
    2250: }

    2252: PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqSBAIJ(MPI_Comm comm, Mat inmat, PetscInt n, MatReuse scall, Mat *outmat)
    2253: {
    2254:   PetscFunctionBegin;
    2255:   PetscCall(MatCreateMPIMatConcatenateSeqMat_MPISBAIJ(comm, inmat, n, scall, outmat));
    2256:   PetscFunctionReturn(PETSC_SUCCESS);
    2257: }