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 PetscDefined(HAVE_ELEMENTAL)
 29: PETSC_INTERN PetscErrorCode MatConvert_SeqSBAIJ_Elemental(Mat, MatType, MatReuse, Mat *);
 30: #endif
 31: #if PetscDefined(HAVE_SCALAPACK) && (PetscDefined(USE_REAL_SINGLE) || PetscDefined(USE_REAL_DOUBLE))
 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: MatGetDiagonalMarkers(SeqSBAIJ, A->rmap->bs)

 38: static PetscErrorCode MatGetColumnReductions_SeqSBAIJ(Mat A, PetscInt type, PetscReal *reductions)
 39: {
 40:   Mat_SeqSBAIJ    *aij = (Mat_SeqSBAIJ *)A->data;
 41:   PetscInt         m, n, bs = A->rmap->bs, bs2 = aij->bs2;
 42:   PetscBool        implicit, hermitian;
 43:   const PetscInt  *ai = aij->i, *aj = aij->j;
 44:   const MatScalar *aa = aij->a;

 46:   PetscFunctionBegin;
 47:   PetscCall(MatGetSize(A, &m, &n));
 48:   PetscCheck(type == NORM_2 || type == NORM_1 || type == NORM_INFINITY || type == REDUCTION_SUM_REALPART || type == REDUCTION_MEAN_REALPART || type == REDUCTION_SUM_IMAGINARYPART || type == REDUCTION_MEAN_IMAGINARYPART, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_WRONG, "Unknown reduction type");
 49:   PetscCall(PetscArrayzero(reductions, n));
 50:   implicit  = (PetscBool)(m == n && (A->symmetric == PETSC_BOOL3_TRUE || A->hermitian == PETSC_BOOL3_TRUE));
 51:   hermitian = (PetscBool)(implicit && PetscDefined(USE_COMPLEX) && A->hermitian == PETSC_BOOL3_TRUE);
 52:   for (PetscInt i = 0; i < aij->mbs; i++) {
 53:     for (PetscInt k = ai[i]; k < ai[i + 1]; k++) {
 54:       const PetscBool offdiag = (PetscBool)(implicit && aj[k] != i);

 56:       for (PetscInt jb = 0; jb < bs; jb++) {
 57:         for (PetscInt ib = 0; ib < bs; ib++) {
 58:           const MatScalar value = aa[k * bs2 + jb * bs + ib];
 59:           const PetscInt  col = aj[k] * bs + jb, row = i * bs + ib;
 60:           PetscReal       reduction;

 62:           if (type == NORM_2) reduction = PetscAbsScalar(value * value);
 63:           else if (type == NORM_1 || type == NORM_INFINITY) reduction = PetscAbsScalar(value);
 64:           else if (type == REDUCTION_SUM_REALPART || type == REDUCTION_MEAN_REALPART) reduction = PetscRealPart(value);
 65:           else reduction = PetscImaginaryPart(value);
 66:           if (type == NORM_INFINITY) reductions[col] = PetscMax(reduction, reductions[col]);
 67:           else reductions[col] += reduction;
 68:           if (offdiag) {
 69:             if (hermitian && (type == REDUCTION_SUM_IMAGINARYPART || type == REDUCTION_MEAN_IMAGINARYPART)) reduction = -reduction;
 70:             if (type == NORM_INFINITY) reductions[row] = PetscMax(reduction, reductions[row]);
 71:             else reductions[row] += reduction;
 72:           }
 73:         }
 74:       }
 75:     }
 76:   }
 77:   if (type == NORM_2) {
 78:     for (PetscInt i = 0; i < n; i++) reductions[i] = PetscSqrtReal(reductions[i]);
 79:   } else if (type == REDUCTION_MEAN_REALPART || type == REDUCTION_MEAN_IMAGINARYPART) {
 80:     for (PetscInt i = 0; i < n; i++) reductions[i] /= m;
 81:   }
 82:   PetscFunctionReturn(PETSC_SUCCESS);
 83: }

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

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

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

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

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

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

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

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

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

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

225: static PetscErrorCode MatSetOption_SeqSBAIJ(Mat A, MatOption op, PetscBool flg)
226: {
227:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;

229:   PetscFunctionBegin;
230:   switch (op) {
231:   case MAT_ROW_ORIENTED:
232:     a->roworiented = flg;
233:     break;
234:   case MAT_KEEP_NONZERO_PATTERN:
235:     a->keepnonzeropattern = flg;
236:     break;
237:   case MAT_NEW_NONZERO_LOCATIONS:
238:     a->nonew = (flg ? 0 : 1);
239:     break;
240:   case MAT_NEW_NONZERO_LOCATION_ERR:
241:     a->nonew = (flg ? -1 : 0);
242:     break;
243:   case MAT_NEW_NONZERO_ALLOCATION_ERR:
244:     a->nonew = (flg ? -2 : 0);
245:     break;
246:   case MAT_UNUSED_NONZERO_LOCATION_ERR:
247:     a->nounused = (flg ? -1 : 0);
248:     break;
249:   case MAT_HERMITIAN:
250:     if (PetscDefined(USE_COMPLEX) && flg) { /* disable transpose ops */
251:       PetscInt bs;

253:       PetscCall(MatGetBlockSize(A, &bs));
254:       PetscCheck(bs <= 1, PETSC_COMM_SELF, PETSC_ERR_SUP, "No support for Hermitian with block size greater than 1");
255:       A->ops->multtranspose    = NULL;
256:       A->ops->multtransposeadd = NULL;
257:     }
258:     break;
259:   case MAT_SYMMETRIC:
260:   case MAT_SPD:
261:     if (PetscDefined(USE_COMPLEX) && flg) { /* An Hermitian and symmetric matrix has zero imaginary part (restore back transpose ops) */
262:       A->ops->multtranspose    = A->ops->mult;
263:       A->ops->multtransposeadd = A->ops->multadd;
264:     }
265:     break;
266:   case MAT_IGNORE_LOWER_TRIANGULAR:
267:     a->ignore_ltriangular = flg;
268:     break;
269:   case MAT_ERROR_LOWER_TRIANGULAR:
270:     a->ignore_ltriangular = flg;
271:     break;
272:   case MAT_GETROW_UPPERTRIANGULAR:
273:     a->getrow_utriangular = flg;
274:     break;
275:   default:
276:     break;
277:   }
278:   PetscFunctionReturn(PETSC_SUCCESS);
279: }

281: PetscErrorCode MatGetRow_SeqSBAIJ(Mat A, PetscInt row, PetscInt *nz, PetscInt **idx, PetscScalar **v)
282: {
283:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;

285:   PetscFunctionBegin;
286:   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()");

288:   /* Get the upper triangular part of the row */
289:   PetscCall(MatGetRow_SeqBAIJ_private(A, row, nz, idx, v, a->i, a->j, a->a));
290:   PetscFunctionReturn(PETSC_SUCCESS);
291: }

293: PetscErrorCode MatRestoreRow_SeqSBAIJ(Mat A, PetscInt row, PetscInt *nz, PetscInt **idx, PetscScalar **v)
294: {
295:   PetscFunctionBegin;
296:   if (idx) PetscCall(PetscFree(*idx));
297:   if (v) PetscCall(PetscFree(*v));
298:   PetscFunctionReturn(PETSC_SUCCESS);
299: }

301: static PetscErrorCode MatGetRowUpperTriangular_SeqSBAIJ(Mat A)
302: {
303:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;

305:   PetscFunctionBegin;
306:   a->getrow_utriangular = PETSC_TRUE;
307:   PetscFunctionReturn(PETSC_SUCCESS);
308: }

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

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

319: static PetscErrorCode MatTranspose_SeqSBAIJ(Mat A, MatReuse reuse, Mat *B)
320: {
321:   PetscFunctionBegin;
322:   if (reuse == MAT_REUSE_MATRIX) PetscCall(MatTransposeCheckNonzeroState_Private(A, *B));
323:   if (reuse == MAT_INITIAL_MATRIX) {
324:     PetscCall(MatDuplicate(A, MAT_COPY_VALUES, B));
325:   } else if (reuse == MAT_REUSE_MATRIX) {
326:     PetscCall(MatCopy(A, *B, SAME_NONZERO_PATTERN));
327:   }
328:   PetscFunctionReturn(PETSC_SUCCESS);
329: }

331: static PetscErrorCode MatView_SeqSBAIJ_ASCII(Mat A, PetscViewer viewer)
332: {
333:   Mat_SeqSBAIJ     *a = (Mat_SeqSBAIJ *)A->data;
334:   PetscInt          i, j, bs = A->rmap->bs, k, l, bs2 = a->bs2;
335:   PetscViewerFormat format;
336:   const PetscInt   *diag;
337:   const char       *matname;

339:   PetscFunctionBegin;
340:   PetscCall(PetscViewerGetFormat(viewer, &format));
341:   if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
342:   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
343:     Mat aij;

345:     if (A->factortype && bs > 1) {
346:       PetscCall(PetscPrintf(PETSC_COMM_SELF, "Warning: matrix is factored with bs>1. MatView() with PETSC_VIEWER_ASCII_MATLAB is not supported and ignored!\n"));
347:       PetscFunctionReturn(PETSC_SUCCESS);
348:     }
349:     PetscCall(MatConvert(A, MATSEQAIJ, MAT_INITIAL_MATRIX, &aij));
350:     if (((PetscObject)A)->name) PetscCall(PetscObjectGetName((PetscObject)A, &matname));
351:     if (((PetscObject)A)->name) PetscCall(PetscObjectSetName((PetscObject)aij, matname));
352:     PetscCall(MatView_SeqAIJ(aij, viewer));
353:     PetscCall(MatDestroy(&aij));
354:   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
355:     Mat B;

357:     PetscCall(MatConvert(A, MATSEQAIJ, MAT_INITIAL_MATRIX, &B));
358:     if (((PetscObject)A)->name) PetscCall(PetscObjectGetName((PetscObject)A, &matname));
359:     if (((PetscObject)A)->name) PetscCall(PetscObjectSetName((PetscObject)B, matname));
360:     PetscCall(MatView_SeqAIJ(B, viewer));
361:     PetscCall(MatDestroy(&B));
362:   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
363:     PetscFunctionReturn(PETSC_SUCCESS);
364:   } else {
365:     PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_FALSE));
366:     if (A->factortype) { /* for factored matrix */
367:       PetscCheck(bs <= 1, PETSC_COMM_SELF, PETSC_ERR_SUP, "matrix is factored with bs>1. Not implemented yet");
368:       PetscCall(MatGetDiagonalMarkers_SeqSBAIJ(A, &diag, NULL));
369:       for (i = 0; i < a->mbs; i++) { /* for row block i */
370:         PetscCall(PetscViewerASCIIPrintf(viewer, "row %" PetscInt_FMT ":", i));
371:         /* diagonal entry */
372:         if (PetscDefined(USE_COMPLEX) && PetscImaginaryPart(a->a[diag[i]]) > 0.0) {
373:           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]])));
374:         } else if (PetscDefined(USE_COMPLEX) && PetscImaginaryPart(a->a[diag[i]]) < 0.0) {
375:           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]])));
376:         } else {
377:           PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", a->j[diag[i]], (double)PetscRealPart(1.0 / a->a[diag[i]])));
378:         }
379:         /* off-diagonal entries */
380:         for (k = a->i[i]; k < a->i[i + 1] - 1; k++) {
381:           if (PetscDefined(USE_COMPLEX) && PetscImaginaryPart(a->a[k]) > 0.0) {
382:             PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g + %g i) ", bs * a->j[k], (double)PetscRealPart(a->a[k]), (double)PetscImaginaryPart(a->a[k])));
383:           } else if (PetscDefined(USE_COMPLEX) && PetscImaginaryPart(a->a[k]) < 0.0) {
384:             PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g - %g i) ", bs * a->j[k], (double)PetscRealPart(a->a[k]), -(double)PetscImaginaryPart(a->a[k])));
385:           } else {
386:             PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", bs * a->j[k], (double)PetscRealPart(a->a[k])));
387:           }
388:         }
389:         PetscCall(PetscViewerASCIIPrintf(viewer, "\n"));
390:       }

392:     } else {                         /* for non-factored matrix */
393:       for (i = 0; i < a->mbs; i++) { /* for row block i */
394:         for (j = 0; j < bs; j++) {   /* for row bs*i + j */
395:           PetscCall(PetscViewerASCIIPrintf(viewer, "row %" PetscInt_FMT ":", i * bs + j));
396:           for (k = a->i[i]; k < a->i[i + 1]; k++) { /* for column block */
397:             for (l = 0; l < bs; l++) {              /* for column */
398:               if (PetscDefined(USE_COMPLEX) && PetscImaginaryPart(a->a[bs2 * k + l * bs + j]) > 0.0) {
399:                 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])));
400:               } else if (PetscDefined(USE_COMPLEX) && PetscImaginaryPart(a->a[bs2 * k + l * bs + j]) < 0.0) {
401:                 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])));
402:               } else {
403:                 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", bs * a->j[k] + l, (double)PetscRealPart(a->a[bs2 * k + l * bs + j])));
404:               }
405:             }
406:           }
407:           PetscCall(PetscViewerASCIIPrintf(viewer, "\n"));
408:         }
409:       }
410:     }
411:     PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_TRUE));
412:   }
413:   PetscCall(PetscViewerFlush(viewer));
414:   PetscFunctionReturn(PETSC_SUCCESS);
415: }

417: #include <petscdraw.h>
418: static PetscErrorCode MatView_SeqSBAIJ_Draw_Zoom(PetscDraw draw, void *Aa)
419: {
420:   Mat           A = (Mat)Aa;
421:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
422:   PetscInt      row, i, j, k, l, mbs = a->mbs, bs = A->rmap->bs, bs2 = a->bs2;
423:   PetscReal     xl, yl, xr, yr, x_l, x_r, y_l, y_r;
424:   MatScalar    *aa;
425:   PetscViewer   viewer;
426:   int           color;

428:   PetscFunctionBegin;
429:   PetscCall(PetscObjectQuery((PetscObject)A, "Zoomviewer", (PetscObject *)&viewer));
430:   PetscCall(PetscDrawGetCoordinates(draw, &xl, &yl, &xr, &yr));

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

434:   PetscDrawCollectiveBegin(draw);
435:   PetscCall(PetscDrawString(draw, .3 * (xl + xr), .3 * (yl + yr), PETSC_DRAW_BLACK, "symmetric"));
436:   /* Blue for negative, Cyan for zero and  Red for positive */
437:   color = PETSC_DRAW_BLUE;
438:   for (i = 0, row = 0; i < mbs; i++, row += bs) {
439:     for (j = a->i[i]; j < a->i[i + 1]; j++) {
440:       y_l = A->rmap->N - row - 1.0;
441:       y_r = y_l + 1.0;
442:       x_l = a->j[j] * bs;
443:       x_r = x_l + 1.0;
444:       aa  = a->a + j * bs2;
445:       for (k = 0; k < bs; k++) {
446:         for (l = 0; l < bs; l++) {
447:           if (PetscRealPart(*aa++) >= 0.) continue;
448:           PetscCall(PetscDrawRectangle(draw, x_l + k, y_l - l, x_r + k, y_r - l, color, color, color, color));
449:         }
450:       }
451:     }
452:   }
453:   color = PETSC_DRAW_CYAN;
454:   for (i = 0, row = 0; i < mbs; i++, row += bs) {
455:     for (j = a->i[i]; j < a->i[i + 1]; j++) {
456:       y_l = A->rmap->N - row - 1.0;
457:       y_r = y_l + 1.0;
458:       x_l = a->j[j] * bs;
459:       x_r = x_l + 1.0;
460:       aa  = a->a + j * bs2;
461:       for (k = 0; k < bs; k++) {
462:         for (l = 0; l < bs; l++) {
463:           if (PetscRealPart(*aa++) != 0.) continue;
464:           PetscCall(PetscDrawRectangle(draw, x_l + k, y_l - l, x_r + k, y_r - l, color, color, color, color));
465:         }
466:       }
467:     }
468:   }
469:   color = PETSC_DRAW_RED;
470:   for (i = 0, row = 0; i < mbs; i++, row += bs) {
471:     for (j = a->i[i]; j < a->i[i + 1]; j++) {
472:       y_l = A->rmap->N - row - 1.0;
473:       y_r = y_l + 1.0;
474:       x_l = a->j[j] * bs;
475:       x_r = x_l + 1.0;
476:       aa  = a->a + j * bs2;
477:       for (k = 0; k < bs; k++) {
478:         for (l = 0; l < bs; l++) {
479:           if (PetscRealPart(*aa++) <= 0.) continue;
480:           PetscCall(PetscDrawRectangle(draw, x_l + k, y_l - l, x_r + k, y_r - l, color, color, color, color));
481:         }
482:       }
483:     }
484:   }
485:   PetscDrawCollectiveEnd(draw);
486:   PetscFunctionReturn(PETSC_SUCCESS);
487: }

489: static PetscErrorCode MatView_SeqSBAIJ_Draw(Mat A, PetscViewer viewer)
490: {
491:   PetscReal xl, yl, xr, yr, w, h;
492:   PetscDraw draw;
493:   PetscBool isnull;

495:   PetscFunctionBegin;
496:   PetscCall(PetscViewerDrawGetDraw(viewer, 0, &draw));
497:   PetscCall(PetscDrawIsNull(draw, &isnull));
498:   if (isnull) PetscFunctionReturn(PETSC_SUCCESS);

500:   xr = A->rmap->N;
501:   yr = A->rmap->N;
502:   h  = yr / 10.0;
503:   w  = xr / 10.0;
504:   xr += w;
505:   yr += h;
506:   xl = -w;
507:   yl = -h;
508:   PetscCall(PetscDrawSetCoordinates(draw, xl, yl, xr, yr));
509:   PetscCall(PetscObjectCompose((PetscObject)A, "Zoomviewer", (PetscObject)viewer));
510:   PetscCall(PetscDrawZoom(draw, MatView_SeqSBAIJ_Draw_Zoom, A));
511:   PetscCall(PetscObjectCompose((PetscObject)A, "Zoomviewer", NULL));
512:   PetscCall(PetscDrawSave(draw));
513:   PetscFunctionReturn(PETSC_SUCCESS);
514: }

516: /* Used for both MPIBAIJ and MPISBAIJ matrices */
517: #define MatView_SeqSBAIJ_Binary MatView_SeqBAIJ_Binary

519: PetscErrorCode MatView_SeqSBAIJ(Mat A, PetscViewer viewer)
520: {
521:   PetscBool isascii, isbinary, isdraw;

523:   PetscFunctionBegin;
524:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
525:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
526:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERDRAW, &isdraw));
527:   if (isascii) {
528:     PetscCall(MatView_SeqSBAIJ_ASCII(A, viewer));
529:   } else if (isbinary) {
530:     PetscCall(MatView_SeqSBAIJ_Binary(A, viewer));
531:   } else if (isdraw) {
532:     PetscCall(MatView_SeqSBAIJ_Draw(A, viewer));
533:   } else {
534:     Mat         B;
535:     const char *matname;
536:     PetscCall(MatConvert(A, MATSEQAIJ, MAT_INITIAL_MATRIX, &B));
537:     if (((PetscObject)A)->name) PetscCall(PetscObjectGetName((PetscObject)A, &matname));
538:     if (((PetscObject)A)->name) PetscCall(PetscObjectSetName((PetscObject)B, matname));
539:     PetscCall(MatView(B, viewer));
540:     PetscCall(MatDestroy(&B));
541:   }
542:   PetscFunctionReturn(PETSC_SUCCESS);
543: }

545: PetscErrorCode MatGetValues_SeqSBAIJ(Mat A, PetscInt m, const PetscInt im[], PetscInt n, const PetscInt in[], PetscScalar v[])
546: {
547:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
548:   PetscInt     *rp, k, low, high, t, row, nrow, i, col, l, *aj = a->j;
549:   PetscInt     *ai = a->i, *ailen = a->ilen;
550:   PetscInt      brow, bcol, ridx, cidx, bs = A->rmap->bs, bs2 = a->bs2;
551:   MatScalar    *ap, *aa = a->a;
552:   PetscBool     roworiented = a->roworiented;
553:   PetscScalar  *value;

555:   PetscFunctionBegin;
556:   for (k = 0; k < m; k++) { /* loop over rows */
557:     row = im[k];
558:     if (row < 0) continue; /* negative row */
559:     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);
560:     brow = row / bs;
561:     rp   = aj + ai[brow];
562:     ap   = aa + bs2 * ai[brow];
563:     nrow = ailen[brow];
564:     for (l = 0; l < n; l++) {  /* loop over columns */
565:       if (in[l] < 0) continue; /* negative column */
566:       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);
567:       value = roworiented ? &v[l + k * n] : &v[k + l * m];
568:       col   = in[l];
569:       bcol  = col / bs;
570:       cidx  = col % bs;
571:       ridx  = row % bs;
572:       high  = nrow;
573:       low   = 0; /* assume unsorted */
574:       while (high - low > 5) {
575:         t = (low + high) / 2;
576:         if (rp[t] > bcol) high = t;
577:         else low = t;
578:       }
579:       for (i = low; i < high; i++) {
580:         if (rp[i] > bcol) break;
581:         if (rp[i] == bcol) {
582:           *value = ap[bs2 * i + bs * cidx + ridx];
583:           goto finished;
584:         }
585:       }
586:       *value = 0.0;
587:     finished:;
588:     }
589:   }
590:   PetscFunctionReturn(PETSC_SUCCESS);
591: }

593: static PetscErrorCode MatPermute_SeqSBAIJ(Mat A, IS rowp, IS colp, Mat *B)
594: {
595:   Mat       C;
596:   PetscBool flg = (PetscBool)(rowp == colp);

598:   PetscFunctionBegin;
599:   PetscCall(MatConvert(A, MATSEQBAIJ, MAT_INITIAL_MATRIX, &C));
600:   PetscCall(MatPermute(C, rowp, colp, B));
601:   PetscCall(MatDestroy(&C));
602:   if (!flg) PetscCall(ISEqual(rowp, colp, &flg));
603:   if (flg) PetscCall(MatConvert(*B, MATSEQSBAIJ, MAT_INPLACE_MATRIX, B));
604:   PetscFunctionReturn(PETSC_SUCCESS);
605: }

607: PetscErrorCode MatSetValuesBlocked_SeqSBAIJ(Mat A, PetscInt m, const PetscInt im[], PetscInt n, const PetscInt in[], const PetscScalar v[], InsertMode is)
608: {
609:   Mat_SeqSBAIJ      *a = (Mat_SeqSBAIJ *)A->data;
610:   PetscInt          *rp, k, low, high, t, ii, jj, row, nrow, i, col, l, rmax, N, lastcol = -1;
611:   PetscInt          *imax = a->imax, *ai = a->i, *ailen = a->ilen;
612:   PetscInt          *aj = a->j, nonew = a->nonew, bs2 = a->bs2, bs = A->rmap->bs, stepval;
613:   PetscBool          roworiented = a->roworiented;
614:   const PetscScalar *value       = v;
615:   MatScalar         *ap, *aa = a->a, *bap;

617:   PetscFunctionBegin;
618:   if (roworiented) stepval = (n - 1) * bs;
619:   else stepval = (m - 1) * bs;
620:   for (k = 0; k < m; k++) { /* loop over added rows */
621:     row = im[k];
622:     if (row < 0) continue;
623:     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);
624:     rp   = aj + ai[row];
625:     ap   = aa + bs2 * ai[row];
626:     rmax = imax[row];
627:     nrow = ailen[row];
628:     low  = 0;
629:     high = nrow;
630:     for (l = 0; l < n; l++) { /* loop over added columns */
631:       if (in[l] < 0) continue;
632:       col = in[l];
633:       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);
634:       if (col < row) {
635:         PetscCheck(a->ignore_ltriangular, 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)");
636:         continue; /* ignore lower triangular block */
637:       }
638:       if (roworiented) value = v + k * (stepval + bs) * bs + l * bs;
639:       else value = v + l * (stepval + bs) * bs + k * bs;

641:       if (col <= lastcol) low = 0;
642:       else high = nrow;

644:       lastcol = col;
645:       while (high - low > 7) {
646:         t = (low + high) / 2;
647:         if (rp[t] > col) high = t;
648:         else low = t;
649:       }
650:       for (i = low; i < high; i++) {
651:         if (rp[i] > col) break;
652:         if (rp[i] == col) {
653:           bap = ap + bs2 * i;
654:           if (roworiented) {
655:             if (is == ADD_VALUES) {
656:               for (ii = 0; ii < bs; ii++, value += stepval) {
657:                 for (jj = ii; jj < bs2; jj += bs) bap[jj] += *value++;
658:               }
659:             } else {
660:               for (ii = 0; ii < bs; ii++, value += stepval) {
661:                 for (jj = ii; jj < bs2; jj += bs) bap[jj] = *value++;
662:               }
663:             }
664:           } else {
665:             if (is == ADD_VALUES) {
666:               for (ii = 0; ii < bs; ii++, value += stepval) {
667:                 for (jj = 0; jj < bs; jj++) *bap++ += *value++;
668:               }
669:             } else {
670:               for (ii = 0; ii < bs; ii++, value += stepval) {
671:                 for (jj = 0; jj < bs; jj++) *bap++ = *value++;
672:               }
673:             }
674:           }
675:           goto noinsert2;
676:         }
677:       }
678:       if (nonew == 1) goto noinsert2;
679:       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);
680:       MatSeqXAIJReallocateAIJ(A, a->mbs, bs2, nrow, row, col, rmax, aa, ai, aj, rp, ap, imax, nonew, MatScalar);
681:       N = nrow++ - 1;
682:       high++;
683:       /* shift up all the later entries in this row */
684:       PetscCall(PetscArraymove(rp + i + 1, rp + i, N - i + 1));
685:       PetscCall(PetscArraymove(ap + bs2 * (i + 1), ap + bs2 * i, bs2 * (N - i + 1)));
686:       PetscCall(PetscArrayzero(ap + bs2 * i, bs2));
687:       rp[i] = col;
688:       bap   = ap + bs2 * i;
689:       if (roworiented) {
690:         for (ii = 0; ii < bs; ii++, value += stepval) {
691:           for (jj = ii; jj < bs2; jj += bs) bap[jj] = *value++;
692:         }
693:       } else {
694:         for (ii = 0; ii < bs; ii++, value += stepval) {
695:           for (jj = 0; jj < bs; jj++) *bap++ = *value++;
696:         }
697:       }
698:     noinsert2:;
699:       low = i;
700:     }
701:     ailen[row] = nrow;
702:   }
703:   PetscFunctionReturn(PETSC_SUCCESS);
704: }

706: static PetscErrorCode MatAssemblyEnd_SeqSBAIJ(Mat A, MatAssemblyType mode)
707: {
708:   Mat_SeqSBAIJ *a      = (Mat_SeqSBAIJ *)A->data;
709:   PetscInt      fshift = 0, i, *ai = a->i, *aj = a->j, *imax = a->imax;
710:   PetscInt      m = A->rmap->N, *ip, N, *ailen = a->ilen;
711:   PetscInt      mbs = a->mbs, bs2 = a->bs2, rmax = 0;
712:   MatScalar    *aa = a->a, *ap;

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

717:   if (m) rmax = ailen[0];
718:   for (i = 1; i < mbs; i++) {
719:     /* move each row back by the amount of empty slots (fshift) before it*/
720:     fshift += imax[i - 1] - ailen[i - 1];
721:     rmax = PetscMax(rmax, ailen[i]);
722:     if (fshift) {
723:       ip = aj + ai[i];
724:       ap = aa + bs2 * ai[i];
725:       N  = ailen[i];
726:       PetscCall(PetscArraymove(ip - fshift, ip, N));
727:       PetscCall(PetscArraymove(ap - bs2 * fshift, ap, bs2 * N));
728:     }
729:     ai[i] = ai[i - 1] + ailen[i - 1];
730:   }
731:   if (mbs) {
732:     fshift += imax[mbs - 1] - ailen[mbs - 1];
733:     ai[mbs] = ai[mbs - 1] + ailen[mbs - 1];
734:   }
735:   /* reset ilen and imax for each row */
736:   for (i = 0; i < mbs; i++) ailen[i] = imax[i] = ai[i + 1] - ai[i];
737:   a->nz = ai[mbs];

739:   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);

741:   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));
742:   PetscCall(PetscInfo(A, "Number of mallocs during MatSetValues is %" PetscInt_FMT "\n", a->reallocs));
743:   PetscCall(PetscInfo(A, "Most nonzeros blocks in any row is %" PetscInt_FMT "\n", rmax));

745:   A->info.mallocs += a->reallocs;
746:   a->reallocs         = 0;
747:   A->info.nz_unneeded = (PetscReal)fshift * bs2;
748:   a->idiagvalid       = PETSC_FALSE;
749:   a->rmax             = rmax;

751:   if (A->cmap->n < 65536 && A->cmap->bs == 1) {
752:     if (a->jshort && a->free_jshort) {
753:       /* when matrix data structure is changed, previous jshort must be replaced */
754:       PetscCall(PetscFree(a->jshort));
755:     }
756:     PetscCall(PetscMalloc1(a->i[A->rmap->n], &a->jshort));
757:     for (i = 0; i < a->i[A->rmap->n]; i++) a->jshort[i] = (short)a->j[i];
758:     A->ops->mult   = MatMult_SeqSBAIJ_1_ushort;
759:     A->ops->sor    = MatSOR_SeqSBAIJ_ushort;
760:     a->free_jshort = PETSC_TRUE;
761:   }
762:   PetscFunctionReturn(PETSC_SUCCESS);
763: }

765: /* Only add/insert a(i,j) with i<=j (blocks).
766:    Any a(i,j) with i>j input by user is ignored.
767: */

769: PetscErrorCode MatSetValues_SeqSBAIJ(Mat A, PetscInt m, const PetscInt im[], PetscInt n, const PetscInt in[], const PetscScalar v[], InsertMode is)
770: {
771:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
772:   PetscInt     *rp, k, low, high, t, ii, row, nrow, i, col, l, rmax, N, lastcol = -1;
773:   PetscInt     *imax = a->imax, *ai = a->i, *ailen = a->ilen, roworiented = a->roworiented;
774:   PetscInt     *aj = a->j, nonew = a->nonew, bs = A->rmap->bs, brow, bcol;
775:   PetscInt      ridx, cidx, bs2                 = a->bs2;
776:   MatScalar    *ap, value, *aa                  = a->a, *bap;

778:   PetscFunctionBegin;
779:   for (k = 0; k < m; k++) { /* loop over added rows */
780:     row  = im[k];           /* row number */
781:     brow = row / bs;        /* block row number */
782:     if (row < 0) continue;
783:     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);
784:     rp   = aj + ai[brow];       /*ptr to beginning of column value of the row block*/
785:     ap   = aa + bs2 * ai[brow]; /*ptr to beginning of element value of the row block*/
786:     rmax = imax[brow];          /* maximum space allocated for this row */
787:     nrow = ailen[brow];         /* actual length of this row */
788:     low  = 0;
789:     high = nrow;
790:     for (l = 0; l < n; l++) { /* loop over added columns */
791:       if (in[l] < 0) continue;
792:       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);
793:       col  = in[l];
794:       bcol = col / bs; /* block col number */

796:       if (brow > bcol) {
797:         PetscCheck(a->ignore_ltriangular, 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)");
798:         continue; /* ignore lower triangular values */
799:       }

801:       ridx = row % bs;
802:       cidx = col % bs; /*row and col index inside the block */
803:       if ((brow == bcol && ridx <= cidx) || (brow < bcol)) {
804:         /* element value a(k,l) */
805:         if (roworiented) value = v[l + k * n];
806:         else value = v[k + l * m];

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

812:         lastcol = col;
813:         while (high - low > 7) {
814:           t = (low + high) / 2;
815:           if (rp[t] > bcol) high = t;
816:           else low = t;
817:         }
818:         for (i = low; i < high; i++) {
819:           if (rp[i] > bcol) break;
820:           if (rp[i] == bcol) {
821:             bap = ap + bs2 * i + bs * cidx + ridx;
822:             if (is == ADD_VALUES) *bap += value;
823:             else *bap = value;
824:             /* for diag block, add/insert its symmetric element a(cidx,ridx) */
825:             if (brow == bcol && ridx < cidx) {
826:               bap = ap + bs2 * i + bs * ridx + cidx;
827:               if (is == ADD_VALUES) *bap += value;
828:               else *bap = value;
829:             }
830:             goto noinsert1;
831:           }
832:         }

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

838:         N = nrow++ - 1;
839:         high++;
840:         /* shift up all the later entries in this row */
841:         PetscCall(PetscArraymove(rp + i + 1, rp + i, N - i + 1));
842:         PetscCall(PetscArraymove(ap + bs2 * (i + 1), ap + bs2 * i, bs2 * (N - i + 1)));
843:         PetscCall(PetscArrayzero(ap + bs2 * i, bs2));
844:         rp[i]                          = bcol;
845:         ap[bs2 * i + bs * cidx + ridx] = value;
846:         /* for diag block, add/insert its symmetric element a(cidx,ridx) */
847:         if (brow == bcol && ridx < cidx) ap[bs2 * i + bs * ridx + cidx] = value;
848:       noinsert1:;
849:         low = i;
850:       }
851:     } /* end of loop over added columns */
852:     ailen[brow] = nrow;
853:   } /* end of loop over added rows */
854:   PetscFunctionReturn(PETSC_SUCCESS);
855: }

857: static PetscErrorCode MatICCFactor_SeqSBAIJ(Mat inA, IS row, const MatFactorInfo *info)
858: {
859:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)inA->data;
860:   Mat           outA;
861:   PetscBool     row_identity;

863:   PetscFunctionBegin;
864:   PetscCheck(info->levels == 0, PETSC_COMM_SELF, PETSC_ERR_SUP, "Only levels=0 is supported for in-place icc");
865:   PetscCall(ISIdentity(row, &row_identity));
866:   PetscCheck(row_identity, PETSC_COMM_SELF, PETSC_ERR_SUP, "Matrix reordering is not supported");
867:   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()! */

869:   outA = inA;
870:   PetscCall(PetscFree(inA->solvertype));
871:   PetscCall(PetscStrallocpy(MATSOLVERPETSC, &inA->solvertype));

873:   inA->factortype = MAT_FACTOR_ICC;
874:   PetscCall(MatSeqSBAIJSetNumericFactorization_inplace(inA, row_identity));

876:   PetscCall(PetscObjectReference((PetscObject)row));
877:   PetscCall(ISDestroy(&a->row));
878:   a->row = row;
879:   PetscCall(PetscObjectReference((PetscObject)row));
880:   PetscCall(ISDestroy(&a->col));
881:   a->col = row;

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

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

888:   PetscCall(MatCholeskyFactorNumeric(outA, inA, info));
889:   PetscFunctionReturn(PETSC_SUCCESS);
890: }

892: static PetscErrorCode MatSeqSBAIJSetColumnIndices_SeqSBAIJ(Mat mat, PetscInt *indices)
893: {
894:   Mat_SeqSBAIJ *baij = (Mat_SeqSBAIJ *)mat->data;
895:   PetscInt      i, nz, n;

897:   PetscFunctionBegin;
898:   nz = baij->maxnz;
899:   n  = mat->cmap->n;
900:   for (i = 0; i < nz; i++) baij->j[i] = indices[i];

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

905:   PetscCall(MatSetOption(mat, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
906:   PetscFunctionReturn(PETSC_SUCCESS);
907: }

909: /*@
910:   MatSeqSBAIJSetColumnIndices - Set the column indices for all the rows
911:   in a `MATSEQSBAIJ` matrix.

913:   Input Parameters:
914: + mat     - the `MATSEQSBAIJ` matrix
915: - indices - the column indices

917:   Level: advanced

919:   Notes:
920:   This can be called if you have precomputed the nonzero structure of the
921:   matrix and want to provide it to the matrix object to improve the performance
922:   of the `MatSetValues()` operation.

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

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

929: .seealso: [](ch_matrices), `Mat`, `MATSEQSBAIJ`, `MatCreateSeqSBAIJ`
930: @*/
931: PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat mat, PetscInt *indices)
932: {
933:   PetscFunctionBegin;
935:   PetscAssertPointer(indices, 2);
936:   PetscUseMethod(mat, "MatSeqSBAIJSetColumnIndices_C", (Mat, PetscInt *), (mat, indices));
937:   PetscFunctionReturn(PETSC_SUCCESS);
938: }

940: static PetscErrorCode MatCopy_SeqSBAIJ(Mat A, Mat B, MatStructure str)
941: {
942:   PetscBool isbaij;

944:   PetscFunctionBegin;
945:   PetscCall(PetscObjectTypeCompareAny((PetscObject)B, &isbaij, MATSEQSBAIJ, MATMPISBAIJ, ""));
946:   PetscCheck(isbaij, PetscObjectComm((PetscObject)B), PETSC_ERR_SUP, "Not for matrix type %s", ((PetscObject)B)->type_name);
947:   /* If the two matrices have the same copy implementation and nonzero pattern, use fast copy. */
948:   if (str == SAME_NONZERO_PATTERN && A->ops->copy == B->ops->copy) {
949:     Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
950:     Mat_SeqSBAIJ *b = (Mat_SeqSBAIJ *)B->data;

952:     PetscCheck(a->i[a->mbs] == b->i[b->mbs], PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Number of nonzeros in two matrices are different");
953:     PetscCheck(a->mbs == b->mbs, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Number of rows in two matrices are different");
954:     PetscCheck(a->bs2 == b->bs2, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Different block size");
955:     PetscCall(PetscArraycpy(b->a, a->a, a->bs2 * a->i[a->mbs]));
956:     PetscCall(PetscObjectStateIncrease((PetscObject)B));
957:   } else {
958:     PetscCall(MatGetRowUpperTriangular(A));
959:     PetscCall(MatCopy_Basic(A, B, str));
960:     PetscCall(MatRestoreRowUpperTriangular(A));
961:   }
962:   PetscFunctionReturn(PETSC_SUCCESS);
963: }

965: static PetscErrorCode MatSeqSBAIJGetArray_SeqSBAIJ(Mat A, PetscScalar *array[])
966: {
967:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;

969:   PetscFunctionBegin;
970:   *array = a->a;
971:   PetscFunctionReturn(PETSC_SUCCESS);
972: }

974: static PetscErrorCode MatSeqSBAIJRestoreArray_SeqSBAIJ(Mat A, PetscScalar *array[])
975: {
976:   PetscFunctionBegin;
977:   *array = NULL;
978:   PetscFunctionReturn(PETSC_SUCCESS);
979: }

981: PetscErrorCode MatAXPYGetPreallocation_SeqSBAIJ(Mat Y, Mat X, PetscInt *nnz)
982: {
983:   PetscInt      bs = Y->rmap->bs, mbs = Y->rmap->N / bs;
984:   Mat_SeqSBAIJ *x = (Mat_SeqSBAIJ *)X->data;
985:   Mat_SeqSBAIJ *y = (Mat_SeqSBAIJ *)Y->data;

987:   PetscFunctionBegin;
988:   /* Set the number of nonzeros in the new matrix */
989:   PetscCall(MatAXPYGetPreallocation_SeqX_private(mbs, x->i, x->j, y->i, y->j, nnz));
990:   PetscFunctionReturn(PETSC_SUCCESS);
991: }

993: static PetscErrorCode MatAXPY_SeqSBAIJ(Mat Y, PetscScalar a, Mat X, MatStructure str)
994: {
995:   Mat_SeqSBAIJ *x = (Mat_SeqSBAIJ *)X->data, *y = (Mat_SeqSBAIJ *)Y->data;
996:   PetscInt      bs = Y->rmap->bs, bs2 = bs * bs;
997:   PetscBLASInt  one = 1;

999:   PetscFunctionBegin;
1000:   if (str == UNKNOWN_NONZERO_PATTERN || (PetscDefined(USE_DEBUG) && str == SAME_NONZERO_PATTERN)) {
1001:     PetscBool e = x->nz == y->nz && x->mbs == y->mbs ? PETSC_TRUE : PETSC_FALSE;
1002:     if (e) {
1003:       PetscCall(PetscArraycmp(x->i, y->i, x->mbs + 1, &e));
1004:       if (e) {
1005:         PetscCall(PetscArraycmp(x->j, y->j, x->i[x->mbs], &e));
1006:         if (e) str = SAME_NONZERO_PATTERN;
1007:       }
1008:     }
1009:     if (!e) PetscCheck(str != SAME_NONZERO_PATTERN, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "MatStructure is not SAME_NONZERO_PATTERN");
1010:   }
1011:   if (str == SAME_NONZERO_PATTERN) {
1012:     PetscScalar  alpha = a;
1013:     PetscBLASInt bnz;
1014:     PetscCall(PetscBLASIntCast(x->nz * bs2, &bnz));
1015:     PetscCallBLAS("BLASaxpy", BLASaxpy_(&bnz, &alpha, x->a, &one, y->a, &one));
1016:     PetscCall(PetscObjectStateIncrease((PetscObject)Y));
1017:   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
1018:     PetscCall(MatSetOption(X, MAT_GETROW_UPPERTRIANGULAR, PETSC_TRUE));
1019:     PetscCall(MatAXPY_Basic(Y, a, X, str));
1020:     PetscCall(MatSetOption(X, MAT_GETROW_UPPERTRIANGULAR, PETSC_FALSE));
1021:   } else {
1022:     Mat       B;
1023:     PetscInt *nnz;
1024:     PetscCheck(bs == X->rmap->bs, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Matrices must have same block size");
1025:     PetscCall(MatGetRowUpperTriangular(X));
1026:     PetscCall(MatGetRowUpperTriangular(Y));
1027:     PetscCall(PetscMalloc1(Y->rmap->N, &nnz));
1028:     PetscCall(MatCreate(PetscObjectComm((PetscObject)Y), &B));
1029:     PetscCall(PetscObjectSetName((PetscObject)B, ((PetscObject)Y)->name));
1030:     PetscCall(MatSetSizes(B, Y->rmap->n, Y->cmap->n, Y->rmap->N, Y->cmap->N));
1031:     PetscCall(MatSetBlockSizesFromMats(B, Y, Y));
1032:     PetscCall(MatSetType(B, ((PetscObject)Y)->type_name));
1033:     PetscCall(MatAXPYGetPreallocation_SeqSBAIJ(Y, X, nnz));
1034:     PetscCall(MatSeqSBAIJSetPreallocation(B, bs, 0, nnz));

1036:     PetscCall(MatAXPY_BasicWithPreallocation(B, Y, a, X, str));

1038:     PetscCall(MatHeaderMerge(Y, &B));
1039:     PetscCall(PetscFree(nnz));
1040:     PetscCall(MatRestoreRowUpperTriangular(X));
1041:     PetscCall(MatRestoreRowUpperTriangular(Y));
1042:   }
1043:   PetscFunctionReturn(PETSC_SUCCESS);
1044: }

1046: static PetscErrorCode MatIsStructurallySymmetric_SeqSBAIJ(Mat A, PetscBool *flg)
1047: {
1048:   PetscFunctionBegin;
1049:   *flg = PETSC_TRUE;
1050:   PetscFunctionReturn(PETSC_SUCCESS);
1051: }

1053: static PetscErrorCode MatConjugate_SeqSBAIJ(Mat A)
1054: {
1055:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
1056:   PetscInt      i, nz = a->bs2 * a->i[a->mbs];
1057:   MatScalar    *aa = a->a;

1059:   PetscFunctionBegin;
1060:   for (i = 0; i < nz; i++) aa[i] = PetscConj(aa[i]);
1061:   PetscFunctionReturn(PETSC_SUCCESS);
1062: }

1064: static PetscErrorCode MatRealPart_SeqSBAIJ(Mat A)
1065: {
1066:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
1067:   PetscInt      i, nz = a->bs2 * a->i[a->mbs];
1068:   MatScalar    *aa = a->a;

1070:   PetscFunctionBegin;
1071:   for (i = 0; i < nz; i++) aa[i] = PetscRealPart(aa[i]);
1072:   PetscFunctionReturn(PETSC_SUCCESS);
1073: }

1075: static PetscErrorCode MatImaginaryPart_SeqSBAIJ(Mat A)
1076: {
1077:   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ *)A->data;
1078:   PetscInt      i, nz = a->bs2 * a->i[a->mbs];
1079:   MatScalar    *aa = a->a;

1081:   PetscFunctionBegin;
1082:   for (i = 0; i < nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
1083:   PetscFunctionReturn(PETSC_SUCCESS);
1084: }

1086: static PetscErrorCode MatZeroRowsColumns_SeqSBAIJ(Mat A, PetscInt is_n, const PetscInt is_idx[], PetscScalar diag, Vec x, Vec b)
1087: {
1088:   Mat_SeqSBAIJ      *baij = (Mat_SeqSBAIJ *)A->data;
1089:   PetscInt           i, j, k, count;
1090:   PetscInt           bs = A->rmap->bs, bs2 = baij->bs2, row, col;
1091:   PetscScalar        zero = 0.0;
1092:   MatScalar         *aa;
1093:   const PetscScalar *xx;
1094:   PetscScalar       *bb;
1095:   PetscBool         *zeroed, vecs = PETSC_FALSE;

1097:   PetscFunctionBegin;
1098:   /* fix right-hand side if needed */
1099:   if (x && b) {
1100:     PetscCall(VecGetArrayRead(x, &xx));
1101:     PetscCall(VecGetArray(b, &bb));
1102:     vecs = PETSC_TRUE;
1103:   }

1105:   /* zero the columns */
1106:   PetscCall(PetscCalloc1(A->rmap->n, &zeroed));
1107:   for (i = 0; i < is_n; i++) {
1108:     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]);
1109:     zeroed[is_idx[i]] = PETSC_TRUE;
1110:   }
1111:   if (vecs) {
1112:     for (i = 0; i < A->rmap->N; i++) {
1113:       row = i / bs;
1114:       for (j = baij->i[row]; j < baij->i[row + 1]; j++) {
1115:         for (k = 0; k < bs; k++) {
1116:           col = bs * baij->j[j] + k;
1117:           if (col <= i) continue;
1118:           aa = baij->a + j * bs2 + (i % bs) + bs * k;
1119:           if (!zeroed[i] && zeroed[col]) bb[i] -= aa[0] * xx[col];
1120:           if (zeroed[i] && !zeroed[col]) bb[col] -= aa[0] * xx[i];
1121:         }
1122:       }
1123:     }
1124:     for (i = 0; i < is_n; i++) bb[is_idx[i]] = diag * xx[is_idx[i]];
1125:   }

1127:   for (i = 0; i < A->rmap->N; i++) {
1128:     if (!zeroed[i]) {
1129:       row = i / bs;
1130:       for (j = baij->i[row]; j < baij->i[row + 1]; j++) {
1131:         for (k = 0; k < bs; k++) {
1132:           col = bs * baij->j[j] + k;
1133:           if (zeroed[col]) {
1134:             aa    = baij->a + j * bs2 + (i % bs) + bs * k;
1135:             aa[0] = 0.0;
1136:           }
1137:         }
1138:       }
1139:     }
1140:   }
1141:   PetscCall(PetscFree(zeroed));
1142:   if (vecs) {
1143:     PetscCall(VecRestoreArrayRead(x, &xx));
1144:     PetscCall(VecRestoreArray(b, &bb));
1145:   }

1147:   /* zero the rows */
1148:   for (i = 0; i < is_n; i++) {
1149:     row   = is_idx[i];
1150:     count = (baij->i[row / bs + 1] - baij->i[row / bs]) * bs;
1151:     aa    = baij->a + baij->i[row / bs] * bs2 + (row % bs);
1152:     for (k = 0; k < count; k++) {
1153:       aa[0] = zero;
1154:       aa += bs;
1155:     }
1156:     if (diag != 0.0) PetscUseTypeMethod(A, setvalues, 1, &row, 1, &row, &diag, INSERT_VALUES);
1157:   }
1158:   PetscCall(MatAssemblyEnd_SeqSBAIJ(A, MAT_FINAL_ASSEMBLY));
1159:   PetscFunctionReturn(PETSC_SUCCESS);
1160: }

1162: static PetscErrorCode MatShift_SeqSBAIJ(Mat Y, PetscScalar a)
1163: {
1164:   Mat_SeqSBAIJ *aij = (Mat_SeqSBAIJ *)Y->data;

1166:   PetscFunctionBegin;
1167:   if (!Y->preallocated || !aij->nz) PetscCall(MatSeqSBAIJSetPreallocation(Y, Y->rmap->bs, 1, NULL));
1168:   PetscCall(MatShift_Basic(Y, a));
1169:   PetscFunctionReturn(PETSC_SUCCESS);
1170: }

1172: PetscErrorCode MatEliminateZeros_SeqSBAIJ(Mat A, PetscBool keep)
1173: {
1174:   Mat_SeqSBAIJ *a      = (Mat_SeqSBAIJ *)A->data;
1175:   PetscInt      fshift = 0, fshift_prev = 0, i, *ai = a->i, *aj = a->j, *imax = a->imax, j, k;
1176:   PetscInt      m = A->rmap->N, *ailen = a->ilen;
1177:   PetscInt      mbs = a->mbs, bs2 = a->bs2, rmax = 0;
1178:   MatScalar    *aa = a->a, *ap;
1179:   PetscBool     zero;

1181:   PetscFunctionBegin;
1182:   PetscCheck(A->assembled, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Cannot eliminate zeros for unassembled matrix");
1183:   if (m) rmax = ailen[0];
1184:   for (i = 1, a->nonzerorowcnt = 0; i <= mbs; i++) {
1185:     for (k = ai[i - 1]; k < ai[i]; k++) {
1186:       zero = PETSC_TRUE;
1187:       ap   = aa + bs2 * k;
1188:       for (j = 0; j < bs2 && zero; j++) {
1189:         if (ap[j] != 0.0) zero = PETSC_FALSE;
1190:       }
1191:       if (zero && (aj[k] != i - 1 || !keep)) fshift++;
1192:       else {
1193:         if (zero && aj[k] == i - 1) PetscCall(PetscInfo(A, "Keep the diagonal block at row %" PetscInt_FMT "\n", i - 1));
1194:         aj[k - fshift] = aj[k];
1195:         PetscCall(PetscArraymove(ap - bs2 * fshift, ap, bs2));
1196:       }
1197:     }
1198:     ai[i - 1] -= fshift_prev;
1199:     fshift_prev  = fshift;
1200:     ailen[i - 1] = imax[i - 1] = ai[i] - fshift - ai[i - 1];
1201:     a->nonzerorowcnt += ((ai[i] - fshift - ai[i - 1]) > 0);
1202:     rmax = PetscMax(rmax, ailen[i - 1]);
1203:   }
1204:   if (fshift) {
1205:     if (mbs) {
1206:       ai[mbs] -= fshift;
1207:       a->nz = ai[mbs];
1208:     }
1209:     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));
1210:     A->nonzerostate++;
1211:     A->info.nz_unneeded += (PetscReal)fshift;
1212:     a->rmax = rmax;
1213:     PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
1214:     PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
1215:   }
1216:   PetscFunctionReturn(PETSC_SUCCESS);
1217: }

1219: static struct _MatOps MatOps_Values = {MatSetValues_SeqSBAIJ,
1220:                                        MatGetRow_SeqSBAIJ,
1221:                                        MatRestoreRow_SeqSBAIJ,
1222:                                        MatMult_SeqSBAIJ_N,
1223:                                        /*  4*/ MatMultAdd_SeqSBAIJ_N,
1224:                                        MatMult_SeqSBAIJ_N, /* transpose versions are same as non-transpose versions */
1225:                                        MatMultAdd_SeqSBAIJ_N,
1226:                                        NULL,
1227:                                        NULL,
1228:                                        NULL,
1229:                                        /* 10*/ NULL,
1230:                                        NULL,
1231:                                        MatCholeskyFactor_SeqSBAIJ,
1232:                                        MatSOR_SeqSBAIJ,
1233:                                        MatTranspose_SeqSBAIJ,
1234:                                        /* 15*/ MatGetInfo_SeqSBAIJ,
1235:                                        MatEqual_SeqSBAIJ,
1236:                                        MatGetDiagonal_SeqSBAIJ,
1237:                                        MatDiagonalScale_SeqSBAIJ,
1238:                                        MatNorm_SeqSBAIJ,
1239:                                        /* 20*/ NULL,
1240:                                        MatAssemblyEnd_SeqSBAIJ,
1241:                                        MatSetOption_SeqSBAIJ,
1242:                                        MatZeroEntries_SeqSBAIJ,
1243:                                        /* 24*/ NULL,
1244:                                        NULL,
1245:                                        NULL,
1246:                                        NULL,
1247:                                        NULL,
1248:                                        /* 29*/ MatSetUp_Seq_Hash,
1249:                                        NULL,
1250:                                        NULL,
1251:                                        NULL,
1252:                                        NULL,
1253:                                        /* 34*/ MatDuplicate_SeqSBAIJ,
1254:                                        NULL,
1255:                                        NULL,
1256:                                        NULL,
1257:                                        MatICCFactor_SeqSBAIJ,
1258:                                        /* 39*/ MatAXPY_SeqSBAIJ,
1259:                                        MatCreateSubMatrices_SeqSBAIJ,
1260:                                        MatIncreaseOverlap_SeqSBAIJ,
1261:                                        MatGetValues_SeqSBAIJ,
1262:                                        MatCopy_SeqSBAIJ,
1263:                                        /* 44*/ NULL,
1264:                                        MatScale_SeqSBAIJ,
1265:                                        MatShift_SeqSBAIJ,
1266:                                        NULL,
1267:                                        MatZeroRowsColumns_SeqSBAIJ,
1268:                                        /* 49*/ NULL,
1269:                                        MatGetRowIJ_SeqSBAIJ,
1270:                                        MatRestoreRowIJ_SeqSBAIJ,
1271:                                        NULL,
1272:                                        NULL,
1273:                                        /* 54*/ NULL,
1274:                                        NULL,
1275:                                        NULL,
1276:                                        MatPermute_SeqSBAIJ,
1277:                                        MatSetValuesBlocked_SeqSBAIJ,
1278:                                        /* 59*/ MatCreateSubMatrix_SeqSBAIJ,
1279:                                        NULL,
1280:                                        NULL,
1281:                                        NULL,
1282:                                        NULL,
1283:                                        /* 64*/ NULL,
1284:                                        NULL,
1285:                                        NULL,
1286:                                        NULL,
1287:                                        MatGetRowMaxAbs_SeqSBAIJ,
1288:                                        /* 69*/ NULL,
1289:                                        MatConvert_MPISBAIJ_Basic,
1290:                                        NULL,
1291:                                        NULL,
1292:                                        NULL,
1293:                                        /* 74*/ NULL,
1294:                                        NULL,
1295:                                        NULL,
1296:                                        MatGetInertia_SeqSBAIJ,
1297:                                        MatLoad_SeqSBAIJ,
1298:                                        /* 79*/ NULL,
1299:                                        NULL,
1300:                                        MatIsStructurallySymmetric_SeqSBAIJ,
1301:                                        NULL,
1302:                                        NULL,
1303:                                        /* 84*/ NULL,
1304:                                        NULL,
1305:                                        NULL,
1306:                                        NULL,
1307:                                        NULL,
1308:                                        /* 89*/ NULL,
1309:                                        NULL,
1310:                                        NULL,
1311:                                        NULL,
1312:                                        MatConjugate_SeqSBAIJ,
1313:                                        /* 94*/ NULL,
1314:                                        NULL,
1315:                                        MatRealPart_SeqSBAIJ,
1316:                                        MatImaginaryPart_SeqSBAIJ,
1317:                                        MatGetRowUpperTriangular_SeqSBAIJ,
1318:                                        /* 99*/ MatRestoreRowUpperTriangular_SeqSBAIJ,
1319:                                        NULL,
1320:                                        NULL,
1321:                                        NULL,
1322:                                        NULL,
1323:                                        /*104*/ NULL,
1324:                                        NULL,
1325:                                        NULL,
1326:                                        NULL,
1327:                                        NULL,
1328:                                        /*109*/ NULL,
1329:                                        NULL,
1330:                                        NULL,
1331:                                        NULL,
1332:                                        NULL,
1333:                                        /*114*/ NULL,
1334:                                        MatGetColumnReductions_SeqSBAIJ,
1335:                                        NULL,
1336:                                        NULL,
1337:                                        NULL,
1338:                                        /*119*/ NULL,
1339:                                        NULL,
1340:                                        NULL,
1341:                                        NULL,
1342:                                        NULL,
1343:                                        /*124*/ NULL,
1344:                                        MatSetBlockSizes_Default,
1345:                                        NULL,
1346:                                        NULL,
1347:                                        NULL,
1348:                                        /*129*/ MatCreateMPIMatConcatenateSeqMat_SeqSBAIJ,
1349:                                        NULL,
1350:                                        NULL,
1351:                                        NULL,
1352:                                        NULL,
1353:                                        /*134*/ NULL,
1354:                                        MatEliminateZeros_SeqSBAIJ,
1355:                                        NULL,
1356:                                        NULL,
1357:                                        NULL,
1358:                                        /*139*/ NULL,
1359:                                        MatCopyHashToXAIJ_Seq_Hash,
1360:                                        NULL,
1361:                                        NULL,
1362:                                        MatADot_Default,
1363:                                        /*144*/ MatANorm_Default,
1364:                                        NULL,
1365:                                        NULL,
1366:                                        NULL};

1368: static PetscErrorCode MatStoreValues_SeqSBAIJ(Mat mat)
1369: {
1370:   Mat_SeqSBAIJ *aij = (Mat_SeqSBAIJ *)mat->data;
1371:   PetscInt      nz  = aij->i[mat->rmap->N] * mat->rmap->bs * aij->bs2;

1373:   PetscFunctionBegin;
1374:   PetscCheck(aij->nonew == 1, PETSC_COMM_SELF, PETSC_ERR_ORDER, "Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");

1376:   /* allocate space for values if not already there */
1377:   if (!aij->saved_values) PetscCall(PetscMalloc1(nz + 1, &aij->saved_values));

1379:   /* copy values over */
1380:   PetscCall(PetscArraycpy(aij->saved_values, aij->a, nz));
1381:   PetscFunctionReturn(PETSC_SUCCESS);
1382: }

1384: static PetscErrorCode MatRetrieveValues_SeqSBAIJ(Mat mat)
1385: {
1386:   Mat_SeqSBAIJ *aij = (Mat_SeqSBAIJ *)mat->data;
1387:   PetscInt      nz  = aij->i[mat->rmap->N] * mat->rmap->bs * aij->bs2;

1389:   PetscFunctionBegin;
1390:   PetscCheck(aij->nonew == 1, PETSC_COMM_SELF, PETSC_ERR_ORDER, "Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
1391:   PetscCheck(aij->saved_values, PETSC_COMM_SELF, PETSC_ERR_ORDER, "Must call MatStoreValues(A);first");

1393:   /* copy values over */
1394:   PetscCall(PetscArraycpy(aij->a, aij->saved_values, nz));
1395:   PetscFunctionReturn(PETSC_SUCCESS);
1396: }

1398: static PetscErrorCode MatSeqSBAIJSetPreallocation_SeqSBAIJ(Mat B, PetscInt bs, PetscInt nz, const PetscInt nnz[])
1399: {
1400:   Mat_SeqSBAIJ *b = (Mat_SeqSBAIJ *)B->data;
1401:   PetscInt      i, mbs, nbs, bs2;
1402:   PetscBool     skipallocation = PETSC_FALSE, flg = PETSC_FALSE, realalloc = PETSC_FALSE;

1404:   PetscFunctionBegin;
1405:   if (B->hash_active) {
1406:     PetscInt bs;
1407:     B->ops[0] = b->cops;
1408:     PetscCall(PetscHMapIJVDestroy(&b->ht));
1409:     PetscCall(MatGetBlockSize(B, &bs));
1410:     if (bs > 1) PetscCall(PetscHSetIJDestroy(&b->bht));
1411:     PetscCall(PetscFree(b->dnz));
1412:     PetscCall(PetscFree(b->bdnz));
1413:     B->hash_active = PETSC_FALSE;
1414:   }
1415:   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;

1417:   PetscCall(MatSetBlockSize(B, bs));
1418:   PetscCall(PetscLayoutSetUp(B->rmap));
1419:   PetscCall(PetscLayoutSetUp(B->cmap));
1420:   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);
1421:   PetscCall(PetscLayoutGetBlockSize(B->rmap, &bs));

1423:   B->preallocated = PETSC_TRUE;

1425:   mbs = B->rmap->N / bs;
1426:   nbs = B->cmap->n / bs;
1427:   bs2 = bs * bs;

1429:   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");

1431:   if (nz == MAT_SKIP_ALLOCATION) {
1432:     skipallocation = PETSC_TRUE;
1433:     nz             = 0;
1434:   }

1436:   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 3;
1437:   PetscCheck(nz >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "nz cannot be less than 0: value %" PetscInt_FMT, nz);
1438:   if (nnz) {
1439:     for (i = 0; i < mbs; i++) {
1440:       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]);
1441:       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);
1442:     }
1443:   }

1445:   B->ops->mult             = MatMult_SeqSBAIJ_N;
1446:   B->ops->multadd          = MatMultAdd_SeqSBAIJ_N;
1447:   B->ops->multtranspose    = MatMult_SeqSBAIJ_N;
1448:   B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_N;

1450:   PetscCall(PetscOptionsGetBool(((PetscObject)B)->options, ((PetscObject)B)->prefix, "-mat_no_unroll", &flg, NULL));
1451:   if (!flg) {
1452:     switch (bs) {
1453:     case 1:
1454:       B->ops->mult             = MatMult_SeqSBAIJ_1;
1455:       B->ops->multadd          = MatMultAdd_SeqSBAIJ_1;
1456:       B->ops->multtranspose    = MatMult_SeqSBAIJ_1;
1457:       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_1;
1458:       break;
1459:     case 2:
1460:       B->ops->mult             = MatMult_SeqSBAIJ_2;
1461:       B->ops->multadd          = MatMultAdd_SeqSBAIJ_2;
1462:       B->ops->multtranspose    = MatMult_SeqSBAIJ_2;
1463:       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_2;
1464:       break;
1465:     case 3:
1466:       B->ops->mult             = MatMult_SeqSBAIJ_3;
1467:       B->ops->multadd          = MatMultAdd_SeqSBAIJ_3;
1468:       B->ops->multtranspose    = MatMult_SeqSBAIJ_3;
1469:       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_3;
1470:       break;
1471:     case 4:
1472:       B->ops->mult             = MatMult_SeqSBAIJ_4;
1473:       B->ops->multadd          = MatMultAdd_SeqSBAIJ_4;
1474:       B->ops->multtranspose    = MatMult_SeqSBAIJ_4;
1475:       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_4;
1476:       break;
1477:     case 5:
1478:       B->ops->mult             = MatMult_SeqSBAIJ_5;
1479:       B->ops->multadd          = MatMultAdd_SeqSBAIJ_5;
1480:       B->ops->multtranspose    = MatMult_SeqSBAIJ_5;
1481:       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_5;
1482:       break;
1483:     case 6:
1484:       B->ops->mult             = MatMult_SeqSBAIJ_6;
1485:       B->ops->multadd          = MatMultAdd_SeqSBAIJ_6;
1486:       B->ops->multtranspose    = MatMult_SeqSBAIJ_6;
1487:       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_6;
1488:       break;
1489:     case 7:
1490:       B->ops->mult             = MatMult_SeqSBAIJ_7;
1491:       B->ops->multadd          = MatMultAdd_SeqSBAIJ_7;
1492:       B->ops->multtranspose    = MatMult_SeqSBAIJ_7;
1493:       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_7;
1494:       break;
1495:     }
1496:   }

1498:   b->mbs = mbs;
1499:   b->nbs = nbs;
1500:   if (!skipallocation) {
1501:     if (!b->imax) {
1502:       PetscCall(PetscMalloc2(mbs, &b->imax, mbs, &b->ilen));

1504:       b->free_imax_ilen = PETSC_TRUE;
1505:     }
1506:     if (!nnz) {
1507:       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
1508:       else if (nz <= 0) nz = 1;
1509:       nz = PetscMin(nbs, nz);
1510:       for (i = 0; i < mbs; i++) b->imax[i] = nz;
1511:       PetscCall(PetscIntMultError(nz, mbs, &nz));
1512:     } else {
1513:       PetscInt64 nz64 = 0;
1514:       for (i = 0; i < mbs; i++) {
1515:         b->imax[i] = nnz[i];
1516:         nz64 += nnz[i];
1517:       }
1518:       PetscCall(PetscIntCast(nz64, &nz));
1519:     }
1520:     /* b->ilen will count nonzeros in each block row so far. */
1521:     for (i = 0; i < mbs; i++) b->ilen[i] = 0;
1522:     /* nz=(nz+mbs)/2; */ /* total diagonal and superdiagonal nonzero blocks */

1524:     /* allocate the matrix space */
1525:     PetscCall(MatSeqXAIJFreeAIJ(B, &b->a, &b->j, &b->i));
1526:     PetscCall(PetscShmgetAllocateArray(bs2 * nz, sizeof(PetscScalar), (void **)&b->a));
1527:     PetscCall(PetscShmgetAllocateArray(nz, sizeof(PetscInt), (void **)&b->j));
1528:     PetscCall(PetscShmgetAllocateArray(B->rmap->n + 1, sizeof(PetscInt), (void **)&b->i));
1529:     b->free_a  = PETSC_TRUE;
1530:     b->free_ij = PETSC_TRUE;
1531:     PetscCall(PetscArrayzero(b->a, nz * bs2));
1532:     PetscCall(PetscArrayzero(b->j, nz));
1533:     b->free_a  = PETSC_TRUE;
1534:     b->free_ij = PETSC_TRUE;

1536:     /* pointer to beginning of each row */
1537:     b->i[0] = 0;
1538:     for (i = 1; i < mbs + 1; i++) b->i[i] = b->i[i - 1] + b->imax[i - 1];

1540:   } else {
1541:     b->free_a  = PETSC_FALSE;
1542:     b->free_ij = PETSC_FALSE;
1543:   }

1545:   b->bs2     = bs2;
1546:   b->nz      = 0;
1547:   b->maxnz   = nz;
1548:   b->inew    = NULL;
1549:   b->jnew    = NULL;
1550:   b->anew    = NULL;
1551:   b->a2anew  = NULL;
1552:   b->permute = PETSC_FALSE;

1554:   B->was_assembled = PETSC_FALSE;
1555:   B->assembled     = PETSC_FALSE;
1556:   if (realalloc) PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
1557:   PetscFunctionReturn(PETSC_SUCCESS);
1558: }

1560: static PetscErrorCode MatSeqSBAIJSetPreallocationCSR_SeqSBAIJ(Mat B, PetscInt bs, const PetscInt ii[], const PetscInt jj[], const PetscScalar V[])
1561: {
1562:   PetscInt      i, j, m, nz, anz, nz_max = 0, *nnz;
1563:   PetscScalar  *values      = NULL;
1564:   Mat_SeqSBAIJ *b           = (Mat_SeqSBAIJ *)B->data;
1565:   PetscBool     roworiented = b->roworiented;
1566:   PetscBool     ilw         = b->ignore_ltriangular;

1568:   PetscFunctionBegin;
1569:   PetscCheck(bs >= 1, PetscObjectComm((PetscObject)B), PETSC_ERR_ARG_OUTOFRANGE, "Invalid block size specified, must be positive but it is %" PetscInt_FMT, bs);
1570:   PetscCall(PetscLayoutSetBlockSize(B->rmap, bs));
1571:   PetscCall(PetscLayoutSetBlockSize(B->cmap, bs));
1572:   PetscCall(PetscLayoutSetUp(B->rmap));
1573:   PetscCall(PetscLayoutSetUp(B->cmap));
1574:   PetscCall(PetscLayoutGetBlockSize(B->rmap, &bs));
1575:   m = B->rmap->n / bs;

1577:   PetscCheck(!ii[0], PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "ii[0] must be 0 but it is %" PetscInt_FMT, ii[0]);
1578:   PetscCall(PetscMalloc1(m + 1, &nnz));
1579:   for (i = 0; i < m; i++) {
1580:     nz = ii[i + 1] - ii[i];
1581:     PetscCheck(nz >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Row %" PetscInt_FMT " has a negative number of columns %" PetscInt_FMT, i, nz);
1582:     PetscCheckSorted(nz, jj + ii[i]);
1583:     anz = 0;
1584:     for (j = 0; j < nz; j++) {
1585:       /* count only values on the diagonal or above */
1586:       if (jj[ii[i] + j] >= i) {
1587:         anz = nz - j;
1588:         break;
1589:       }
1590:     }
1591:     nz_max = PetscMax(nz_max, nz);
1592:     nnz[i] = anz;
1593:   }
1594:   PetscCall(MatSeqSBAIJSetPreallocation(B, bs, 0, nnz));
1595:   PetscCall(PetscFree(nnz));

1597:   values = (PetscScalar *)V;
1598:   if (!values) PetscCall(PetscCalloc1(bs * bs * nz_max, &values));
1599:   b->ignore_ltriangular = PETSC_TRUE;
1600:   for (i = 0; i < m; i++) {
1601:     PetscInt        ncols = ii[i + 1] - ii[i];
1602:     const PetscInt *icols = jj + ii[i];

1604:     if (!roworiented || bs == 1) {
1605:       const PetscScalar *svals = values + (V ? (bs * bs * ii[i]) : 0);
1606:       PetscCall(MatSetValuesBlocked_SeqSBAIJ(B, 1, &i, ncols, icols, svals, INSERT_VALUES));
1607:     } else {
1608:       for (j = 0; j < ncols; j++) {
1609:         const PetscScalar *svals = values + (V ? (bs * bs * (ii[i] + j)) : 0);
1610:         PetscCall(MatSetValuesBlocked_SeqSBAIJ(B, 1, &i, 1, &icols[j], svals, INSERT_VALUES));
1611:       }
1612:     }
1613:   }
1614:   if (!V) PetscCall(PetscFree(values));
1615:   PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY));
1616:   PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY));
1617:   PetscCall(MatSetOption(B, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
1618:   b->ignore_ltriangular = ilw;
1619:   PetscFunctionReturn(PETSC_SUCCESS);
1620: }

1622: /*
1623:    This is used to set the numeric factorization for both Cholesky and ICC symbolic factorization
1624: */
1625: PetscErrorCode MatSeqSBAIJSetNumericFactorization_inplace(Mat B, PetscBool natural)
1626: {
1627:   PetscBool flg = PETSC_FALSE;
1628:   PetscInt  bs  = B->rmap->bs;

1630:   PetscFunctionBegin;
1631:   PetscCall(PetscOptionsGetBool(((PetscObject)B)->options, ((PetscObject)B)->prefix, "-mat_no_unroll", &flg, NULL));
1632:   if (flg) bs = 8;

1634:   if (!natural) {
1635:     switch (bs) {
1636:     case 1:
1637:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_1_inplace;
1638:       break;
1639:     case 2:
1640:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_2;
1641:       break;
1642:     case 3:
1643:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_3;
1644:       break;
1645:     case 4:
1646:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_4;
1647:       break;
1648:     case 5:
1649:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_5;
1650:       break;
1651:     case 6:
1652:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_6;
1653:       break;
1654:     case 7:
1655:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_7;
1656:       break;
1657:     default:
1658:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_N;
1659:       break;
1660:     }
1661:   } else {
1662:     switch (bs) {
1663:     case 1:
1664:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_1_NaturalOrdering_inplace;
1665:       break;
1666:     case 2:
1667:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_2_NaturalOrdering;
1668:       break;
1669:     case 3:
1670:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_3_NaturalOrdering;
1671:       break;
1672:     case 4:
1673:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_4_NaturalOrdering;
1674:       break;
1675:     case 5:
1676:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_5_NaturalOrdering;
1677:       break;
1678:     case 6:
1679:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_6_NaturalOrdering;
1680:       break;
1681:     case 7:
1682:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_7_NaturalOrdering;
1683:       break;
1684:     default:
1685:       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_N_NaturalOrdering;
1686:       break;
1687:     }
1688:   }
1689:   PetscFunctionReturn(PETSC_SUCCESS);
1690: }

1692: PETSC_INTERN PetscErrorCode MatConvert_SeqSBAIJ_SeqAIJ(Mat, MatType, MatReuse, Mat *);
1693: PETSC_INTERN PetscErrorCode MatConvert_SeqSBAIJ_SeqBAIJ(Mat, MatType, MatReuse, Mat *);
1694: static PetscErrorCode       MatFactorGetSolverType_petsc(Mat A, MatSolverType *type)
1695: {
1696:   PetscFunctionBegin;
1697:   *type = MATSOLVERPETSC;
1698:   PetscFunctionReturn(PETSC_SUCCESS);
1699: }

1701: PETSC_INTERN PetscErrorCode MatGetFactor_seqsbaij_petsc(Mat A, MatFactorType ftype, Mat *B)
1702: {
1703:   PetscInt n = A->rmap->n;

1705:   PetscFunctionBegin;
1706:   if (PetscDefined(USE_COMPLEX) && (ftype == MAT_FACTOR_CHOLESKY || ftype == MAT_FACTOR_ICC) && A->hermitian == PETSC_BOOL3_TRUE && A->symmetric != PETSC_BOOL3_TRUE) {
1707:     PetscCall(PetscInfo(A, "Hermitian MAT_FACTOR_CHOLESKY or MAT_FACTOR_ICC are not supported. Use MAT_FACTOR_LU instead.\n"));
1708:     *B = NULL;
1709:     PetscFunctionReturn(PETSC_SUCCESS);
1710:   }

1712:   PetscCall(MatCreate(PetscObjectComm((PetscObject)A), B));
1713:   PetscCall(MatSetSizes(*B, n, n, n, n));
1714:   PetscCheck(ftype == MAT_FACTOR_CHOLESKY || ftype == MAT_FACTOR_ICC, PETSC_COMM_SELF, PETSC_ERR_SUP, "Factor type not supported");
1715:   PetscCall(MatSetType(*B, MATSEQSBAIJ));
1716:   PetscCall(MatSeqSBAIJSetPreallocation(*B, A->rmap->bs, MAT_SKIP_ALLOCATION, NULL));

1718:   (*B)->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_SeqSBAIJ;
1719:   (*B)->ops->iccfactorsymbolic      = MatICCFactorSymbolic_SeqSBAIJ;
1720:   PetscCall(PetscStrallocpy(MATORDERINGNATURAL, (char **)&(*B)->preferredordering[MAT_FACTOR_CHOLESKY]));
1721:   PetscCall(PetscStrallocpy(MATORDERINGNATURAL, (char **)&(*B)->preferredordering[MAT_FACTOR_ICC]));

1723:   (*B)->factortype     = ftype;
1724:   (*B)->canuseordering = PETSC_TRUE;
1725:   PetscCall(PetscFree((*B)->solvertype));
1726:   PetscCall(PetscStrallocpy(MATSOLVERPETSC, &(*B)->solvertype));
1727:   PetscCall(PetscObjectComposeFunction((PetscObject)*B, "MatFactorGetSolverType_C", MatFactorGetSolverType_petsc));
1728:   PetscFunctionReturn(PETSC_SUCCESS);
1729: }

1731: /*@C
1732:   MatSeqSBAIJGetArray - gives access to the array where the numerical data for a `MATSEQSBAIJ` matrix is stored

1734:   Not Collective

1736:   Input Parameter:
1737: . A - a `MATSEQSBAIJ` matrix

1739:   Output Parameter:
1740: . array - pointer to the data

1742:   Level: intermediate

1744: .seealso: [](ch_matrices), `Mat`, `MATSEQSBAIJ`, `MatSeqSBAIJRestoreArray()`, `MatSeqAIJGetArray()`, `MatSeqAIJRestoreArray()`
1745: @*/
1746: PetscErrorCode MatSeqSBAIJGetArray(Mat A, PetscScalar *array[])
1747: {
1748:   PetscFunctionBegin;
1749:   PetscUseMethod(A, "MatSeqSBAIJGetArray_C", (Mat, PetscScalar **), (A, array));
1750:   PetscFunctionReturn(PETSC_SUCCESS);
1751: }

1753: /*@C
1754:   MatSeqSBAIJRestoreArray - returns access to the array where the numerical data for a `MATSEQSBAIJ` matrix is stored obtained by `MatSeqSBAIJGetArray()`

1756:   Not Collective

1758:   Input Parameters:
1759: + A     - a `MATSEQSBAIJ` matrix
1760: - array - pointer to the data

1762:   Level: intermediate

1764: .seealso: [](ch_matrices), `Mat`, `MATSEQSBAIJ`, `MatSeqSBAIJGetArray()`, `MatSeqAIJGetArray()`, `MatSeqAIJRestoreArray()`
1765: @*/
1766: PetscErrorCode MatSeqSBAIJRestoreArray(Mat A, PetscScalar *array[])
1767: {
1768:   PetscFunctionBegin;
1769:   PetscUseMethod(A, "MatSeqSBAIJRestoreArray_C", (Mat, PetscScalar **), (A, array));
1770:   PetscFunctionReturn(PETSC_SUCCESS);
1771: }

1773: /*MC
1774:   MATSEQSBAIJ - MATSEQSBAIJ = "seqsbaij" - A matrix type to be used for sequential symmetric block sparse matrices,
1775:   based on block compressed sparse row format.  Only the upper triangular portion of the matrix is stored.

1777:   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
1778:   can call `MatSetOption`(`Mat`, `MAT_HERMITIAN`).

1780:   Options Database Key:
1781:   . -mat_type seqsbaij - sets the matrix type to "seqsbaij" during a call to `MatSetFromOptions()`

1783:   Level: beginner

1785:   Notes:
1786:   By default if you insert values into the lower triangular part of the matrix they are simply ignored (since they are not
1787:   stored and it is assumed they symmetric to the upper triangular). If you call `MatSetOption`(`Mat`,`MAT_IGNORE_LOWER_TRIANGULAR`,`PETSC_FALSE`) or use
1788:   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.

1790:   The number of rows in the matrix must be less than or equal to the number of columns

1792: .seealso: [](ch_matrices), `Mat`, `MATSEQSBAIJ`, `MatCreateSeqSBAIJ()`, `MatType`, `MATMPISBAIJ`
1793: M*/
1794: PETSC_EXTERN PetscErrorCode MatCreate_SeqSBAIJ(Mat B)
1795: {
1796:   Mat_SeqSBAIJ *b;
1797:   PetscMPIInt   size;
1798:   PetscBool     no_unroll = PETSC_FALSE, no_inode = PETSC_FALSE;

1800:   PetscFunctionBegin;
1801:   PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)B), &size));
1802:   PetscCheck(size <= 1, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Comm must be of size 1");

1804:   PetscCall(PetscNew(&b));
1805:   B->data   = (void *)b;
1806:   B->ops[0] = MatOps_Values;

1808:   B->ops->destroy    = MatDestroy_SeqSBAIJ;
1809:   B->ops->view       = MatView_SeqSBAIJ;
1810:   b->row             = NULL;
1811:   b->icol            = NULL;
1812:   b->reallocs        = 0;
1813:   b->saved_values    = NULL;
1814:   b->inode.limit     = 5;
1815:   b->inode.max_limit = 5;

1817:   b->roworiented        = PETSC_TRUE;
1818:   b->nonew              = 0;
1819:   b->diag               = NULL;
1820:   b->solve_work         = NULL;
1821:   b->mult_work          = NULL;
1822:   B->spptr              = NULL;
1823:   B->info.nz_unneeded   = (PetscReal)b->maxnz * b->bs2;
1824:   b->keepnonzeropattern = PETSC_FALSE;

1826:   b->inew    = NULL;
1827:   b->jnew    = NULL;
1828:   b->anew    = NULL;
1829:   b->a2anew  = NULL;
1830:   b->permute = PETSC_FALSE;

1832:   b->ignore_ltriangular = PETSC_TRUE;

1834:   PetscCall(PetscOptionsGetBool(((PetscObject)B)->options, ((PetscObject)B)->prefix, "-mat_ignore_lower_triangular", &b->ignore_ltriangular, NULL));

1836:   b->getrow_utriangular = PETSC_FALSE;

1838:   PetscCall(PetscOptionsGetBool(((PetscObject)B)->options, ((PetscObject)B)->prefix, "-mat_getrow_uppertriangular", &b->getrow_utriangular, NULL));

1840:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSeqSBAIJGetArray_C", MatSeqSBAIJGetArray_SeqSBAIJ));
1841:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSeqSBAIJRestoreArray_C", MatSeqSBAIJRestoreArray_SeqSBAIJ));
1842:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatStoreValues_C", MatStoreValues_SeqSBAIJ));
1843:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatRetrieveValues_C", MatRetrieveValues_SeqSBAIJ));
1844:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSeqSBAIJSetColumnIndices_C", MatSeqSBAIJSetColumnIndices_SeqSBAIJ));
1845:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqsbaij_seqaij_C", MatConvert_SeqSBAIJ_SeqAIJ));
1846:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqsbaij_seqbaij_C", MatConvert_SeqSBAIJ_SeqBAIJ));
1847:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSeqSBAIJSetPreallocation_C", MatSeqSBAIJSetPreallocation_SeqSBAIJ));
1848:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSeqSBAIJSetPreallocationCSR_C", MatSeqSBAIJSetPreallocationCSR_SeqSBAIJ));
1849: #if PetscDefined(HAVE_ELEMENTAL)
1850:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqsbaij_elemental_C", MatConvert_SeqSBAIJ_Elemental));
1851: #endif
1852: #if PetscDefined(HAVE_SCALAPACK) && (PetscDefined(USE_REAL_SINGLE) || PetscDefined(USE_REAL_DOUBLE))
1853:   PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqsbaij_scalapack_C", MatConvert_SBAIJ_ScaLAPACK));
1854: #endif

1856:   B->symmetry_eternal            = PETSC_TRUE;
1857:   B->structural_symmetry_eternal = PETSC_TRUE;
1858:   B->symmetric                   = PETSC_BOOL3_TRUE;
1859:   B->structurally_symmetric      = PETSC_BOOL3_TRUE;
1860: #if !PetscDefined(USE_COMPLEX)
1861:   B->hermitian = PETSC_BOOL3_TRUE;
1862: #endif

1864:   PetscCall(PetscObjectChangeTypeName((PetscObject)B, MATSEQSBAIJ));

1866:   PetscOptionsBegin(PetscObjectComm((PetscObject)B), ((PetscObject)B)->prefix, "Options for SEQSBAIJ matrix", "Mat");
1867:   PetscCall(PetscOptionsBool("-mat_no_unroll", "Do not optimize for inodes (slower)", NULL, no_unroll, &no_unroll, NULL));
1868:   if (no_unroll) PetscCall(PetscInfo(B, "Not using Inode routines due to -mat_no_unroll\n"));
1869:   PetscCall(PetscOptionsBool("-mat_no_inode", "Do not optimize for inodes (slower)", NULL, no_inode, &no_inode, NULL));
1870:   if (no_inode) PetscCall(PetscInfo(B, "Not using Inode routines due to -mat_no_inode\n"));
1871:   PetscCall(PetscOptionsInt("-mat_inode_limit", "Do not use inodes larger than this value", NULL, b->inode.limit, &b->inode.limit, NULL));
1872:   PetscOptionsEnd();
1873:   b->inode.use = (PetscBool)(!(no_unroll || no_inode));
1874:   if (b->inode.limit > b->inode.max_limit) b->inode.limit = b->inode.max_limit;
1875:   PetscFunctionReturn(PETSC_SUCCESS);
1876: }

1878: /*@
1879:   MatSeqSBAIJSetPreallocation - Creates a sparse symmetric matrix in block AIJ (block
1880:   compressed row) `MATSEQSBAIJ` format.  For good matrix assembly performance the
1881:   user should preallocate the matrix storage by setting the parameter `nz`
1882:   (or the array `nnz`).

1884:   Collective

1886:   Input Parameters:
1887: + B   - the symmetric matrix
1888: . bs  - size of block, the blocks are ALWAYS square. One can use `MatSetBlockSizes()` to set a different row and column blocksize but the row
1889:         blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with `MatCreateVecs()`
1890: . nz  - number of block nonzeros per block row (same for all rows)
1891: - nnz - array containing the number of block nonzeros in the upper triangular plus
1892:         diagonal portion of each block (possibly different for each block row) or `NULL`

1894:   Options Database Keys:
1895: + -mat_no_unroll  - uses code that does not unroll the loops in the block calculations (much slower)
1896: - -mat_block_size - size of the blocks to use (only works if a negative bs is passed in

1898:   Level: intermediate

1900:   Notes:
1901:   Specify the preallocated storage with either `nz` or `nnz` (not both).
1902:   Set `nz` = `PETSC_DEFAULT` and `nnz` = `NULL` for PETSc to control dynamic memory
1903:   allocation.  See [Sparse Matrices](sec_matsparse) for details.

1905:   You can call `MatGetInfo()` to get information on how effective the preallocation was;
1906:   for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
1907:   You can also run with the option `-info` and look for messages with the string
1908:   malloc in them to see if additional memory allocation was needed.

1910:   If the `nnz` parameter is given then the `nz` parameter is ignored

1912: .seealso: [](ch_matrices), `Mat`, [Sparse Matrices](sec_matsparse), `MATSEQSBAIJ`, `MatCreate()`, `MatCreateSeqAIJ()`, `MatSetValues()`, `MatCreateSBAIJ()`
1913: @*/
1914: PetscErrorCode MatSeqSBAIJSetPreallocation(Mat B, PetscInt bs, PetscInt nz, const PetscInt nnz[])
1915: {
1916:   PetscFunctionBegin;
1920:   PetscTryMethod(B, "MatSeqSBAIJSetPreallocation_C", (Mat, PetscInt, PetscInt, const PetscInt[]), (B, bs, nz, nnz));
1921:   PetscFunctionReturn(PETSC_SUCCESS);
1922: }

1924: /*@C
1925:   MatSeqSBAIJSetPreallocationCSR - Creates a sparse parallel matrix in `MATSEQSBAIJ` format using the given nonzero structure and (optional) numerical values

1927:   Input Parameters:
1928: + B  - the matrix
1929: . bs - size of block, the blocks are ALWAYS square.
1930: . i  - the indices into `j` for the start of each local row (indices start with zero)
1931: . j  - the column indices for each local row (indices start with zero) these must be sorted for each row
1932: - v  - optional values in the matrix, use `NULL` if not provided

1934:   Level: advanced

1936:   Notes:
1937:   The `i`,`j`,`v` values are COPIED with this routine; to avoid the copy use `MatCreateSeqSBAIJWithArrays()`

1939:   The order of the entries in values is specified by the `MatOption` `MAT_ROW_ORIENTED`.  For example, C programs
1940:   may want to use the default `MAT_ROW_ORIENTED` = `PETSC_TRUE` and use an array v[nnz][bs][bs] where the second index is
1941:   over rows within a block and the last index is over columns within a block row.  Fortran programs will likely set
1942:   `MAT_ROW_ORIENTED` = `PETSC_FALSE` and use a Fortran array v(bs,bs,nnz) in which the first index is over rows within a
1943:   block column and the second index is over columns within a block.

1945:   Any entries provided that lie below the diagonal are ignored

1947:   Though this routine has Preallocation() in the name it also sets the exact nonzero locations of the matrix entries
1948:   and usually the numerical values as well

1950: .seealso: [](ch_matrices), `Mat`, `MATSEQSBAIJ`, `MatCreate()`, `MatCreateSeqSBAIJ()`, `MatSetValuesBlocked()`, `MatSeqSBAIJSetPreallocation()`
1951: @*/
1952: PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat B, PetscInt bs, const PetscInt i[], const PetscInt j[], const PetscScalar v[])
1953: {
1954:   PetscFunctionBegin;
1958:   PetscTryMethod(B, "MatSeqSBAIJSetPreallocationCSR_C", (Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]), (B, bs, i, j, v));
1959:   PetscFunctionReturn(PETSC_SUCCESS);
1960: }

1962: /*@
1963:   MatCreateSeqSBAIJ - Creates a sparse symmetric matrix in (block
1964:   compressed row) `MATSEQSBAIJ` format.  For good matrix assembly performance the
1965:   user should preallocate the matrix storage by setting the parameter `nz`
1966:   (or the array `nnz`).

1968:   Collective

1970:   Input Parameters:
1971: + comm - MPI communicator, set to `PETSC_COMM_SELF`
1972: . bs   - size of block, the blocks are ALWAYS square. One can use `MatSetBlockSizes()` to set a different row and column blocksize but the row
1973:           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
1974: . m    - number of rows
1975: . n    - number of columns
1976: . nz   - number of block nonzeros per block row (same for all rows)
1977: - nnz  - array containing the number of block nonzeros in the upper triangular plus
1978:          diagonal portion of each block (possibly different for each block row) or `NULL`

1980:   Output Parameter:
1981: . A - the symmetric matrix

1983:   Options Database Keys:
1984: + -mat_no_unroll  - uses code that does not unroll the loops in the block calculations (much slower)
1985: - -mat_block_size - size of the blocks to use

1987:   Level: intermediate

1989:   Notes:
1990:   It is recommended that one use `MatCreateFromOptions()` or the `MatCreate()`, `MatSetType()` and/or `MatSetFromOptions()`,
1991:   MatXXXXSetPreallocation() paradigm instead of this routine directly.
1992:   [MatXXXXSetPreallocation() is, for example, `MatSeqAIJSetPreallocation()`]

1994:   The number of rows and columns must be divisible by blocksize.
1995:   This matrix type does not support complex Hermitian operation.

1997:   Specify the preallocated storage with either `nz` or `nnz` (not both).
1998:   Set `nz` = `PETSC_DEFAULT` and `nnz` = `NULL` for PETSc to control dynamic memory
1999:   allocation.  See [Sparse Matrices](sec_matsparse) for details.

2001:   If the `nnz` parameter is given then the `nz` parameter is ignored

2003: .seealso: [](ch_matrices), `Mat`, [Sparse Matrices](sec_matsparse), `MATSEQSBAIJ`, `MatCreate()`, `MatCreateSeqAIJ()`, `MatSetValues()`, `MatCreateSBAIJ()`
2004: @*/
2005: PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm comm, PetscInt bs, PetscInt m, PetscInt n, PetscInt nz, const PetscInt nnz[], Mat *A)
2006: {
2007:   PetscFunctionBegin;
2008:   PetscCall(MatCreate(comm, A));
2009:   PetscCall(MatSetSizes(*A, m, n, m, n));
2010:   PetscCall(MatSetType(*A, MATSEQSBAIJ));
2011:   PetscCall(MatSeqSBAIJSetPreallocation(*A, bs, nz, (PetscInt *)nnz));
2012:   PetscFunctionReturn(PETSC_SUCCESS);
2013: }

2015: PetscErrorCode MatDuplicate_SeqSBAIJ(Mat A, MatDuplicateOption cpvalues, Mat *B)
2016: {
2017:   Mat           C;
2018:   Mat_SeqSBAIJ *c, *a  = (Mat_SeqSBAIJ *)A->data;
2019:   PetscInt      i, mbs = a->mbs, nz = a->nz, bs2 = a->bs2;

2021:   PetscFunctionBegin;
2022:   PetscCheck(A->assembled, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_WRONGSTATE, "Cannot duplicate unassembled matrix");
2023:   PetscCheck(a->i[mbs] == nz, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Corrupt matrix");

2025:   *B = NULL;
2026:   PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &C));
2027:   PetscCall(MatSetSizes(C, A->rmap->N, A->cmap->n, A->rmap->N, A->cmap->n));
2028:   PetscCall(MatSetBlockSizesFromMats(C, A, A));
2029:   PetscCall(MatSetType(C, MATSEQSBAIJ));
2030:   c = (Mat_SeqSBAIJ *)C->data;

2032:   C->preallocated       = PETSC_TRUE;
2033:   C->factortype         = A->factortype;
2034:   c->row                = NULL;
2035:   c->icol               = NULL;
2036:   c->saved_values       = NULL;
2037:   c->keepnonzeropattern = a->keepnonzeropattern;
2038:   C->assembled          = PETSC_TRUE;

2040:   PetscCall(PetscLayoutReference(A->rmap, &C->rmap));
2041:   PetscCall(PetscLayoutReference(A->cmap, &C->cmap));
2042:   c->bs2 = a->bs2;
2043:   c->mbs = a->mbs;
2044:   c->nbs = a->nbs;

2046:   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2047:     c->imax           = a->imax;
2048:     c->ilen           = a->ilen;
2049:     c->free_imax_ilen = PETSC_FALSE;
2050:   } else {
2051:     PetscCall(PetscMalloc2(mbs + 1, &c->imax, mbs + 1, &c->ilen));
2052:     for (i = 0; i < mbs; i++) {
2053:       c->imax[i] = a->imax[i];
2054:       c->ilen[i] = a->ilen[i];
2055:     }
2056:     c->free_imax_ilen = PETSC_TRUE;
2057:   }

2059:   /* allocate the matrix space */
2060:   PetscCall(PetscShmgetAllocateArray(bs2 * nz, sizeof(PetscScalar), (void **)&c->a));
2061:   c->free_a = PETSC_TRUE;
2062:   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2063:     PetscCall(PetscArrayzero(c->a, bs2 * nz));
2064:     c->i       = a->i;
2065:     c->j       = a->j;
2066:     c->free_ij = PETSC_FALSE;
2067:     c->parent  = A;
2068:     PetscCall(PetscObjectReference((PetscObject)A));
2069:     PetscCall(MatSetOption(A, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
2070:     PetscCall(MatSetOption(C, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
2071:   } else {
2072:     PetscCall(PetscShmgetAllocateArray(nz, sizeof(PetscInt), (void **)&c->j));
2073:     PetscCall(PetscShmgetAllocateArray(mbs + 1, sizeof(PetscInt), (void **)&c->i));
2074:     PetscCall(PetscArraycpy(c->i, a->i, mbs + 1));
2075:     c->free_ij = PETSC_TRUE;
2076:   }
2077:   if (mbs > 0) {
2078:     if (cpvalues != MAT_SHARE_NONZERO_PATTERN) PetscCall(PetscArraycpy(c->j, a->j, nz));
2079:     if (cpvalues == MAT_COPY_VALUES) {
2080:       PetscCall(PetscArraycpy(c->a, a->a, bs2 * nz));
2081:     } else {
2082:       PetscCall(PetscArrayzero(c->a, bs2 * nz));
2083:     }
2084:     if (a->jshort) {
2085:       /* cannot share jshort, it is reallocated in MatAssemblyEnd_SeqSBAIJ() */
2086:       /* if the parent matrix is reassembled, this child matrix will never notice */
2087:       PetscCall(PetscMalloc1(nz, &c->jshort));
2088:       PetscCall(PetscArraycpy(c->jshort, a->jshort, nz));

2090:       c->free_jshort = PETSC_TRUE;
2091:     }
2092:   }

2094:   c->roworiented = a->roworiented;
2095:   c->nonew       = a->nonew;
2096:   c->nz          = a->nz;
2097:   c->maxnz       = a->nz; /* Since we allocate exactly the right amount */
2098:   c->solve_work  = NULL;
2099:   c->mult_work   = NULL;

2101:   *B = C;
2102:   PetscCall(PetscFunctionListDuplicate(((PetscObject)A)->qlist, &((PetscObject)C)->qlist));
2103:   PetscFunctionReturn(PETSC_SUCCESS);
2104: }

2106: /* Used for both SeqBAIJ and SeqSBAIJ matrices */
2107: #define MatLoad_SeqSBAIJ_Binary MatLoad_SeqBAIJ_Binary

2109: PetscErrorCode MatLoad_SeqSBAIJ(Mat mat, PetscViewer viewer)
2110: {
2111:   PetscBool isbinary;

2113:   PetscFunctionBegin;
2114:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
2115:   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);
2116:   PetscCall(MatLoad_SeqSBAIJ_Binary(mat, viewer));
2117:   PetscFunctionReturn(PETSC_SUCCESS);
2118: }

2120: /*@
2121:   MatCreateSeqSBAIJWithArrays - Creates an sequential `MATSEQSBAIJ` matrix using matrix elements
2122:   (upper triangular entries in CSR format) provided by the user.

2124:   Collective

2126:   Input Parameters:
2127: + comm - must be an MPI communicator of size 1
2128: . bs   - size of block
2129: . m    - number of rows
2130: . n    - number of columns
2131: . 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
2132: . j    - column indices
2133: - a    - matrix values

2135:   Output Parameter:
2136: . mat - the matrix

2138:   Level: advanced

2140:   Notes:
2141:   The `i`, `j`, and `a` arrays are not copied by this routine, the user must free these arrays
2142:   once the matrix is destroyed

2144:   You cannot set new nonzero locations into this matrix, that will generate an error.

2146:   The `i` and `j` indices are 0 based

2148:   When block size is greater than 1 the matrix values must be stored using the `MATSBAIJ` storage format. For block size of 1
2149:   it is the regular CSR format excluding the lower triangular elements.

2151: .seealso: [](ch_matrices), `Mat`, `MATSEQSBAIJ`, `MatCreate()`, `MatCreateSBAIJ()`, `MatCreateSeqSBAIJ()`
2152: @*/
2153: PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm comm, PetscInt bs, PetscInt m, PetscInt n, PetscInt i[], PetscInt j[], PetscScalar a[], Mat *mat)
2154: {
2155:   Mat_SeqSBAIJ *sbaij;

2157:   PetscFunctionBegin;
2158:   PetscCheck(bs == 1, PETSC_COMM_SELF, PETSC_ERR_SUP, "block size %" PetscInt_FMT " > 1 is not supported yet", bs);
2159:   PetscCheck(m == 0 || i[0] == 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "i (row indices) must start with 0");

2161:   PetscCall(MatCreate(comm, mat));
2162:   PetscCall(MatSetSizes(*mat, m, n, m, n));
2163:   PetscCall(MatSetType(*mat, MATSEQSBAIJ));
2164:   PetscCall(MatSeqSBAIJSetPreallocation(*mat, bs, MAT_SKIP_ALLOCATION, NULL));
2165:   sbaij = (Mat_SeqSBAIJ *)(*mat)->data;
2166:   PetscCall(PetscMalloc2(m, &sbaij->imax, m, &sbaij->ilen));

2168:   sbaij->i = i;
2169:   sbaij->j = j;
2170:   sbaij->a = a;

2172:   sbaij->nonew          = -1; /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
2173:   sbaij->free_a         = PETSC_FALSE;
2174:   sbaij->free_ij        = PETSC_FALSE;
2175:   sbaij->free_imax_ilen = PETSC_TRUE;

2177:   for (PetscInt ii = 0; ii < m; ii++) {
2178:     sbaij->ilen[ii] = sbaij->imax[ii] = i[ii + 1] - i[ii];
2179:     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]);
2180:   }
2181:   if (PetscDefined(USE_DEBUG)) {
2182:     for (PetscInt ii = 0; ii < sbaij->i[m]; ii++) {
2183:       PetscCheck(j[ii] >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Negative column index at location = %" PetscInt_FMT " index = %" PetscInt_FMT, ii, j[ii]);
2184:       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]);
2185:     }
2186:   }

2188:   PetscCall(MatAssemblyBegin(*mat, MAT_FINAL_ASSEMBLY));
2189:   PetscCall(MatAssemblyEnd(*mat, MAT_FINAL_ASSEMBLY));
2190:   PetscFunctionReturn(PETSC_SUCCESS);
2191: }

2193: PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqSBAIJ(MPI_Comm comm, Mat inmat, PetscInt n, MatReuse scall, Mat *outmat)
2194: {
2195:   PetscFunctionBegin;
2196:   PetscCall(MatCreateMPIMatConcatenateSeqMat_MPISBAIJ(comm, inmat, n, scall, outmat));
2197:   PetscFunctionReturn(PETSC_SUCCESS);
2198: }