Actual source code: matproduct.c

  1: /*
  2:     Routines for matrix products. Calling procedure:

  4:     MatProductCreate(A,B,C,&D); or MatProductCreateWithMat(A,B,C,D)
  5:     MatProductSetType(D, MATPRODUCT_AB/AtB/ABt/PtAP/RARt/ABC)
  6:     MatProductSetAlgorithm(D, alg)
  7:     MatProductSetFill(D,fill)
  8:     MatProductSetFromOptions(D)
  9:       -> MatProductSetFromOptions_Private(D)
 10:            # Check matrix global sizes
 11:            if the matrices have the same setfromoptions routine, use it
 12:            if not, try:
 13:              -> Query MatProductSetFromOptions_Atype_Btype_Ctype_C(D) from A, B and C (in order)
 14:              if found -> run the specific setup that must set the symbolic operation (these callbacks should never fail)
 15:            if callback not found or no symbolic operation set
 16:              -> Query MatProductSetFromOptions_anytype_C(D) from A, B and C (in order) (e.g, matrices may have inner matrices like MATTRANSPOSEVIRTUAL)
 17:            if dispatch found but combination still not present do
 18:              -> check if B is dense and product type AtB or AB -> if true, basic looping of dense columns
 19:              -> check if triple product (PtAP, RARt or ABC) -> if true, set the Basic routines

 21:     #  The setfromoptions calls MatProductSetFromOptions_Atype_Btype_Ctype should
 22:     #    Check matrix local sizes for mpi matrices
 23:     #    Set default algorithm
 24:     #    Get runtime option
 25:     #    Set D->ops->productsymbolic = MatProductSymbolic_productype_Atype_Btype_Ctype if found

 27:     MatProductSymbolic(D)
 28:       # Call MatProductSymbolic_productype_Atype_Btype_Ctype()
 29:         the callback must set the numeric phase D->ops->productnumeric = MatProductNumeric_productype_Atype_Btype_Ctype

 31:     MatProductNumeric(D)
 32:       # Call the numeric phase

 34:     # The symbolic phases are allowed to set extra data structures and attach those to the product
 35:     # this additional data can be reused between multiple numeric phases with the same matrices
 36:     # if not needed, call
 37:     MatProductClear(D)
 38: */

 40: #include <petsc/private/matimpl.h>

 42: PETSC_INTERN PetscErrorCode MatProductSetFromOptions_SeqAIJ(Mat);
 43: PETSC_INTERN PetscErrorCode MatProductSetFromOptions_MPIAIJ(Mat);

 45: const char *const MatProductTypes[] = {"UNSPECIFIED", "AB", "AtB", "ABt", "PtAP", "RARt", "ABC"};

 47: /* these are basic implementations relying on the old function pointers
 48:  * they are dangerous and should be removed in the future */
 49: static PetscErrorCode MatProductNumeric_PtAP_Unsafe(Mat C)
 50: {
 51:   Mat_Product *product = C->product;
 52:   Mat          P = product->B, AP = product->Dwork;

 54:   PetscFunctionBegin;
 55:   /* AP = A*P */
 56:   PetscCall(MatProductNumeric(AP));
 57:   /* C = P^T*AP */
 58:   product->type = MATPRODUCT_AtB;
 59:   PetscCall((*C->ops->transposematmultnumeric)(P, AP, C));
 60:   product->type = MATPRODUCT_PtAP;
 61:   PetscFunctionReturn(PETSC_SUCCESS);
 62: }

 64: static PetscErrorCode MatProductSymbolic_PtAP_Unsafe(Mat C)
 65: {
 66:   Mat_Product *product = C->product;
 67:   Mat          A = product->A, P = product->B, AP;
 68:   PetscReal    fill = product->fill;

 70:   PetscFunctionBegin;
 71:   PetscCall(PetscInfo(C, "for A %s, P %s is used\n", ((PetscObject)product->A)->type_name, ((PetscObject)product->B)->type_name));
 72:   /* AP = A*P */
 73:   PetscCall(MatProductCreate(A, P, NULL, &AP));
 74:   PetscCall(MatProductSetType(AP, MATPRODUCT_AB));
 75:   PetscCall(MatProductSetAlgorithm(AP, MATPRODUCTALGORITHMDEFAULT));
 76:   PetscCall(MatProductSetFill(AP, fill));
 77:   PetscCall(MatProductSetFromOptions(AP));
 78:   PetscCall(MatProductSymbolic(AP));

 80:   /* C = P^T*AP */
 81:   PetscCall(MatProductSetType(C, MATPRODUCT_AtB));
 82:   PetscCall(MatProductSetAlgorithm(C, MATPRODUCTALGORITHMDEFAULT));
 83:   product->A = P;
 84:   product->B = AP;
 85:   PetscCall(MatProductSetFromOptions(C));
 86:   PetscCall(MatProductSymbolic(C));

 88:   /* resume user's original input matrix setting for A and B */
 89:   product->type  = MATPRODUCT_PtAP;
 90:   product->A     = A;
 91:   product->B     = P;
 92:   product->Dwork = AP;

 94:   C->ops->productnumeric = MatProductNumeric_PtAP_Unsafe;
 95:   PetscFunctionReturn(PETSC_SUCCESS);
 96: }

 98: static PetscErrorCode MatProductNumeric_RARt_Unsafe(Mat C)
 99: {
100:   Mat_Product *product = C->product;
101:   Mat          R = product->B, RA = product->Dwork;

103:   PetscFunctionBegin;
104:   /* RA = R*A */
105:   PetscCall(MatProductNumeric(RA));
106:   /* C = RA*R^T */
107:   product->type = MATPRODUCT_ABt;
108:   PetscCall((*C->ops->mattransposemultnumeric)(RA, R, C));
109:   product->type = MATPRODUCT_RARt;
110:   PetscFunctionReturn(PETSC_SUCCESS);
111: }

113: static PetscErrorCode MatProductSymbolic_RARt_Unsafe(Mat C)
114: {
115:   Mat_Product *product = C->product;
116:   Mat          A = product->A, R = product->B, RA;
117:   PetscReal    fill = product->fill;

119:   PetscFunctionBegin;
120:   PetscCall(PetscInfo(C, "for A %s, R %s is used\n", ((PetscObject)product->A)->type_name, ((PetscObject)product->B)->type_name));
121:   /* RA = R*A */
122:   PetscCall(MatProductCreate(R, A, NULL, &RA));
123:   PetscCall(MatProductSetType(RA, MATPRODUCT_AB));
124:   PetscCall(MatProductSetAlgorithm(RA, MATPRODUCTALGORITHMDEFAULT));
125:   PetscCall(MatProductSetFill(RA, fill));
126:   PetscCall(MatProductSetFromOptions(RA));
127:   PetscCall(MatProductSymbolic(RA));

129:   /* C = RA*R^T */
130:   PetscCall(MatProductSetType(C, MATPRODUCT_ABt));
131:   PetscCall(MatProductSetAlgorithm(C, MATPRODUCTALGORITHMDEFAULT));
132:   product->A = RA;
133:   PetscCall(MatProductSetFromOptions(C));
134:   PetscCall(MatProductSymbolic(C));

136:   /* resume user's original input matrix setting for A */
137:   product->type          = MATPRODUCT_RARt;
138:   product->A             = A;
139:   product->Dwork         = RA; /* save here so it will be destroyed with product C */
140:   C->ops->productnumeric = MatProductNumeric_RARt_Unsafe;
141:   PetscFunctionReturn(PETSC_SUCCESS);
142: }

144: static PetscErrorCode MatProductNumeric_ABC_Unsafe(Mat mat)
145: {
146:   Mat_Product *product = mat->product;
147:   Mat          A = product->A, BC = product->Dwork;

149:   PetscFunctionBegin;
150:   /* Numeric BC = B*C */
151:   PetscCall(MatProductNumeric(BC));
152:   /* Numeric mat = A*BC */
153:   product->type = MATPRODUCT_AB;
154:   PetscCall((*mat->ops->matmultnumeric)(A, BC, mat));
155:   product->type = MATPRODUCT_ABC;
156:   PetscFunctionReturn(PETSC_SUCCESS);
157: }

159: static PetscErrorCode MatProductSymbolic_ABC_Unsafe(Mat mat)
160: {
161:   Mat_Product *product = mat->product;
162:   Mat          B = product->B, C = product->C, BC;
163:   PetscReal    fill = product->fill;

165:   PetscFunctionBegin;
166:   PetscCall(PetscInfo(mat, "for A %s, B %s, C %s is used\n", ((PetscObject)product->A)->type_name, ((PetscObject)product->B)->type_name, ((PetscObject)product->C)->type_name));
167:   /* Symbolic BC = B*C */
168:   PetscCall(MatProductCreate(B, C, NULL, &BC));
169:   PetscCall(MatProductSetType(BC, MATPRODUCT_AB));
170:   PetscCall(MatProductSetAlgorithm(BC, MATPRODUCTALGORITHMDEFAULT));
171:   PetscCall(MatProductSetFill(BC, fill));
172:   PetscCall(MatProductSetFromOptions(BC));
173:   PetscCall(MatProductSymbolic(BC));

175:   /* Symbolic mat = A*BC */
176:   PetscCall(MatProductSetType(mat, MATPRODUCT_AB));
177:   PetscCall(MatProductSetAlgorithm(mat, MATPRODUCTALGORITHMDEFAULT));
178:   product->B     = BC;
179:   product->Dwork = BC;
180:   PetscCall(MatProductSetFromOptions(mat));
181:   PetscCall(MatProductSymbolic(mat));

183:   /* resume user's original input matrix setting for B */
184:   product->type            = MATPRODUCT_ABC;
185:   product->B               = B;
186:   mat->ops->productnumeric = MatProductNumeric_ABC_Unsafe;
187:   PetscFunctionReturn(PETSC_SUCCESS);
188: }

190: static PetscErrorCode MatProductSymbolic_Unsafe(Mat mat)
191: {
192:   Mat_Product *product = mat->product;

194:   PetscFunctionBegin;
195:   switch (product->type) {
196:   case MATPRODUCT_PtAP:
197:     PetscCall(MatProductSymbolic_PtAP_Unsafe(mat));
198:     break;
199:   case MATPRODUCT_RARt:
200:     PetscCall(MatProductSymbolic_RARt_Unsafe(mat));
201:     break;
202:   case MATPRODUCT_ABC:
203:     PetscCall(MatProductSymbolic_ABC_Unsafe(mat));
204:     break;
205:   default:
206:     SETERRQ(PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "ProductType %s is not supported", MatProductTypes[product->type]);
207:   }
208:   PetscFunctionReturn(PETSC_SUCCESS);
209: }

211: /*@
212:   MatProductReplaceMats - Replace the input matrices for the matrix-matrix product operation inside the computed matrix

214:   Collective

216:   Input Parameters:
217: + A - the matrix or `NULL` if not being replaced
218: . B - the matrix or `NULL` if not being replaced
219: . C - the matrix or `NULL` if not being replaced
220: - D - the matrix whose values are computed via a matrix-matrix product operation

222:   Level: intermediate

224:   Note:
225:   To reuse the symbolic phase, the input matrices must have exactly the same data structure as the replaced one.
226:   If the type of any of the input matrices is different than what was previously used, or their symmetry flag changed but
227:   the symbolic phase took advantage of their symmetry, the product is cleared and `MatProductSetFromOptions()`
228:   and `MatProductSymbolic()` are invoked again.

230: .seealso: [](ch_matrices), `MatProduct`, `Mat`, `MatProductCreate()`, `MatProductSetFromOptions()`, `MatProductSymbolic()`, `MatProductClear()`
231: @*/
232: PetscErrorCode MatProductReplaceMats(Mat A, Mat B, Mat C, Mat D)
233: {
234:   Mat_Product *product;
235:   PetscBool    flgA = PETSC_TRUE, flgB = PETSC_TRUE, flgC = PETSC_TRUE, isset, issym;

237:   PetscFunctionBegin;
239:   MatCheckProduct(D, 4);
240:   product = D->product;
241:   if (A) {
243:     PetscCall(PetscObjectReference((PetscObject)A));
244:     PetscCall(PetscObjectTypeCompare((PetscObject)product->A, ((PetscObject)A)->type_name, &flgA));
245:     PetscCall(MatIsSymmetricKnown(A, &isset, &issym));
246:     if (product->symbolic_used_the_fact_A_is_symmetric && isset && !issym) { /* symbolic was built around a symmetric A, but the new A is not anymore */
247:       flgA                                           = PETSC_FALSE;
248:       product->symbolic_used_the_fact_A_is_symmetric = PETSC_FALSE; /* reinit */
249:     }
250:     PetscCall(MatDestroy(&product->A));
251:     product->A = A;
252:   }
253:   if (B) {
255:     PetscCall(PetscObjectReference((PetscObject)B));
256:     PetscCall(PetscObjectTypeCompare((PetscObject)product->B, ((PetscObject)B)->type_name, &flgB));
257:     PetscCall(MatIsSymmetricKnown(B, &isset, &issym));
258:     if (product->symbolic_used_the_fact_B_is_symmetric && isset && !issym) {
259:       flgB                                           = PETSC_FALSE;
260:       product->symbolic_used_the_fact_B_is_symmetric = PETSC_FALSE; /* reinit */
261:     }
262:     PetscCall(MatDestroy(&product->B));
263:     product->B = B;
264:   }
265:   if (C) {
267:     PetscCall(PetscObjectReference((PetscObject)C));
268:     PetscCall(PetscObjectTypeCompare((PetscObject)product->C, ((PetscObject)C)->type_name, &flgC));
269:     PetscCall(MatIsSymmetricKnown(C, &isset, &issym));
270:     if (product->symbolic_used_the_fact_C_is_symmetric && isset && !issym) {
271:       flgC                                           = PETSC_FALSE;
272:       product->symbolic_used_the_fact_C_is_symmetric = PETSC_FALSE; /* reinit */
273:     }
274:     PetscCall(MatDestroy(&product->C));
275:     product->C = C;
276:   }
277:   /* Any of the replaced mats is of a different type, reset */
278:   if (!flgA || !flgB || !flgC) {
279:     if (D->product->destroy) PetscCall((*D->product->destroy)(&D->product->data));
280:     D->product->destroy = NULL;
281:     D->product->data    = NULL;
282:     if (D->ops->productnumeric || D->ops->productsymbolic) {
283:       PetscCall(MatProductSetFromOptions(D));
284:       PetscCall(MatProductSymbolic(D));
285:     }
286:   }
287:   PetscFunctionReturn(PETSC_SUCCESS);
288: }

290: static PetscErrorCode MatProductNumeric_X_Dense(Mat C)
291: {
292:   Mat_Product *product = C->product;
293:   Mat          A = product->A, B = product->B;
294:   PetscInt     k, K              = B->cmap->N;
295:   PetscBool    t = PETSC_TRUE, iscuda = PETSC_FALSE;
296:   PetscBool    Bcpu = PETSC_TRUE, Ccpu = PETSC_TRUE;
297:   char        *Btype = NULL, *Ctype = NULL;

299:   PetscFunctionBegin;
300:   switch (product->type) {
301:   case MATPRODUCT_AB:
302:     t = PETSC_FALSE;
303:   case MATPRODUCT_AtB:
304:     break;
305:   default:
306:     SETERRQ(PetscObjectComm((PetscObject)C), PETSC_ERR_SUP, "MatProductNumeric type %s not supported for %s and %s matrices", MatProductTypes[product->type], ((PetscObject)A)->type_name, ((PetscObject)B)->type_name);
307:   }
308:   if (PetscDefined(HAVE_CUDA)) {
309:     VecType vtype;

311:     PetscCall(MatGetVecType(A, &vtype));
312:     PetscCall(PetscStrcmp(vtype, VECCUDA, &iscuda));
313:     if (!iscuda) PetscCall(PetscStrcmp(vtype, VECSEQCUDA, &iscuda));
314:     if (!iscuda) PetscCall(PetscStrcmp(vtype, VECMPICUDA, &iscuda));
315:     if (iscuda) { /* Make sure we have up-to-date data on the GPU */
316:       PetscCall(PetscStrallocpy(((PetscObject)B)->type_name, &Btype));
317:       PetscCall(PetscStrallocpy(((PetscObject)C)->type_name, &Ctype));
318:       PetscCall(MatConvert(B, MATDENSECUDA, MAT_INPLACE_MATRIX, &B));
319:       if (!C->assembled) { /* need to flag the matrix as assembled, otherwise MatConvert will complain */
320:         PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
321:         PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
322:       }
323:       PetscCall(MatConvert(C, MATDENSECUDA, MAT_INPLACE_MATRIX, &C));
324:     } else { /* Make sure we have up-to-date data on the CPU */
325: #if PetscDefined(HAVE_CUDA) || PetscDefined(HAVE_VIENNACL)
326:       Bcpu = B->boundtocpu;
327:       Ccpu = C->boundtocpu;
328: #endif
329:       PetscCall(MatBindToCPU(B, PETSC_TRUE));
330:       PetscCall(MatBindToCPU(C, PETSC_TRUE));
331:     }
332:   }
333:   for (k = 0; k < K; k++) {
334:     Vec x, y;

336:     PetscCall(MatDenseGetColumnVecRead(B, k, &x));
337:     PetscCall(MatDenseGetColumnVecWrite(C, k, &y));
338:     if (t) {
339:       PetscCall(MatMultTranspose(A, x, y));
340:     } else {
341:       PetscCall(MatMult(A, x, y));
342:     }
343:     PetscCall(MatDenseRestoreColumnVecRead(B, k, &x));
344:     PetscCall(MatDenseRestoreColumnVecWrite(C, k, &y));
345:   }
346:   if (PetscDefined(HAVE_CUDA)) {
347:     if (iscuda) {
348:       PetscCall(MatConvert(B, Btype, MAT_INPLACE_MATRIX, &B));
349:       PetscCall(MatConvert(C, Ctype, MAT_INPLACE_MATRIX, &C));
350:     } else {
351:       PetscCall(MatBindToCPU(B, Bcpu));
352:       PetscCall(MatBindToCPU(C, Ccpu));
353:     }
354:   }
355:   PetscCall(PetscFree(Btype));
356:   PetscCall(PetscFree(Ctype));
357:   PetscFunctionReturn(PETSC_SUCCESS);
358: }

360: static PetscErrorCode MatProductSymbolic_X_Dense(Mat C)
361: {
362:   Mat_Product *product = C->product;
363:   Mat          A = product->A, B = product->B;
364:   PetscBool    isdense;

366:   PetscFunctionBegin;
367:   switch (product->type) {
368:   case MATPRODUCT_AB:
369:     PetscCall(MatSetSizes(C, A->rmap->n, B->cmap->n, A->rmap->N, B->cmap->N));
370:     break;
371:   case MATPRODUCT_AtB:
372:     PetscCall(MatSetSizes(C, A->cmap->n, B->cmap->n, A->cmap->N, B->cmap->N));
373:     break;
374:   default:
375:     SETERRQ(PetscObjectComm((PetscObject)C), PETSC_ERR_SUP, "MatProductSymbolic type %s not supported for %s and %s matrices", MatProductTypes[product->type], ((PetscObject)A)->type_name, ((PetscObject)B)->type_name);
376:   }
377:   PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)C, &isdense, MATSEQDENSE, MATMPIDENSE, ""));
378:   if (!isdense) {
379:     PetscCall(MatSetType(C, ((PetscObject)B)->type_name));
380:     PetscCall(MatSetVecType(C, B->defaultvectype));
381:     /* If matrix type of C was not set or not dense, we need to reset the pointer */
382:     C->ops->productsymbolic = MatProductSymbolic_X_Dense;
383:   }
384:   C->ops->productnumeric = MatProductNumeric_X_Dense;
385:   PetscCall(MatSetUp(C));
386:   PetscFunctionReturn(PETSC_SUCCESS);
387: }

389: /* a single driver to query the dispatching */
390: static PetscErrorCode MatProductSetFromOptions_Private(Mat mat)
391: {
392:   Mat_Product      *product = mat->product;
393:   PetscInt          Am, An, Bm, Bn, Cm, Cn;
394:   Mat               A = product->A, B = product->B, C = product->C;
395:   const char *const Bnames[] = {"B", "R", "P"};
396:   const char       *bname;
397:   PetscErrorCode (*fA)(Mat);
398:   PetscErrorCode (*fB)(Mat);
399:   PetscErrorCode (*fC)(Mat);
400:   PetscErrorCode (*f)(Mat) = NULL;

402:   PetscFunctionBegin;
403:   mat->ops->productsymbolic = NULL;
404:   mat->ops->productnumeric  = NULL;
405:   if (product->type == MATPRODUCT_UNSPECIFIED) PetscFunctionReturn(PETSC_SUCCESS);
406:   PetscCheck(A, PetscObjectComm((PetscObject)mat), PETSC_ERR_PLIB, "Missing A mat");
407:   PetscCheck(B, PetscObjectComm((PetscObject)mat), PETSC_ERR_PLIB, "Missing B mat");
408:   PetscCheck(product->type != MATPRODUCT_ABC || C, PetscObjectComm((PetscObject)mat), PETSC_ERR_PLIB, "Missing C mat");
409:   if (product->type != MATPRODUCT_ABC) C = NULL; /* do not use C if not needed */
410:   if (product->type == MATPRODUCT_RARt) bname = Bnames[1];
411:   else if (product->type == MATPRODUCT_PtAP) bname = Bnames[2];
412:   else bname = Bnames[0];

414:   /* Check matrices sizes */
415:   Am = A->rmap->N;
416:   An = A->cmap->N;
417:   Bm = B->rmap->N;
418:   Bn = B->cmap->N;
419:   Cm = C ? C->rmap->N : 0;
420:   Cn = C ? C->cmap->N : 0;
421:   if (product->type == MATPRODUCT_RARt || product->type == MATPRODUCT_ABt) {
422:     PetscInt t = Bn;
423:     Bn         = Bm;
424:     Bm         = t;
425:   }
426:   if (product->type == MATPRODUCT_AtB) An = Am;

428:   PetscCheck(An == Bm, PetscObjectComm((PetscObject)mat), PETSC_ERR_ARG_SIZ, "Matrix dimensions of A and %s are incompatible for MatProductType %s: A %" PetscInt_FMT "x%" PetscInt_FMT ", %s %" PetscInt_FMT "x%" PetscInt_FMT, bname,
429:              MatProductTypes[product->type], A->rmap->N, A->cmap->N, bname, B->rmap->N, B->cmap->N);
430:   PetscCheck(!Cm || Cm == Bn, PetscObjectComm((PetscObject)mat), PETSC_ERR_ARG_SIZ, "Matrix dimensions of B and C are incompatible for MatProductType %s: B %" PetscInt_FMT "x%" PetscInt_FMT ", C %" PetscInt_FMT "x%" PetscInt_FMT,
431:              MatProductTypes[product->type], B->rmap->N, B->cmap->N, Cm, Cn);

433:   /* graph products use the host CSR structure, including for AIJ device types */
434:   if (mat->structure_only && (product->type == MATPRODUCT_AB || product->type == MATPRODUCT_AtB)) {
435:     PetscBool aseq, bseq, ampi, bmpi;

437:     PetscCall(PetscObjectBaseTypeCompare((PetscObject)A, MATSEQAIJ, &aseq));
438:     PetscCall(PetscObjectBaseTypeCompare((PetscObject)B, MATSEQAIJ, &bseq));
439:     PetscCall(PetscObjectBaseTypeCompare((PetscObject)A, MATMPIAIJ, &ampi));
440:     PetscCall(PetscObjectBaseTypeCompare((PetscObject)B, MATMPIAIJ, &bmpi));
441:     if (aseq && bseq) {
442:       PetscCall(MatProductSetFromOptions_SeqAIJ(mat));
443:       PetscFunctionReturn(PETSC_SUCCESS);
444:     } else if (ampi && bmpi) {
445:       PetscCall(MatProductSetFromOptions_MPIAIJ(mat));
446:       PetscFunctionReturn(PETSC_SUCCESS);
447:     }
448:   }

450:   fA = A->ops->productsetfromoptions;
451:   fB = B->ops->productsetfromoptions;
452:   fC = C ? C->ops->productsetfromoptions : fA;
453:   if (C) {
454:     PetscCall(PetscInfo(mat, "MatProductType %s for A %s, %s %s, C %s\n", MatProductTypes[product->type], ((PetscObject)A)->type_name, bname, ((PetscObject)B)->type_name, ((PetscObject)C)->type_name));
455:   } else {
456:     PetscCall(PetscInfo(mat, "MatProductType %s for A %s, %s %s\n", MatProductTypes[product->type], ((PetscObject)A)->type_name, bname, ((PetscObject)B)->type_name));
457:   }
458:   if (fA == fB && fA == fC && fA) {
459:     PetscCall(PetscInfo(mat, "  matching op\n"));
460:     PetscCall((*fA)(mat));
461:   }
462:   /* We may have found f but it did not succeed */
463:   if (!mat->ops->productsymbolic) { /* query MatProductSetFromOptions_Atype_Btype_Ctype */
464:     char mtypes[256];
465:     PetscCall(PetscStrncpy(mtypes, "MatProductSetFromOptions_", sizeof(mtypes)));
466:     PetscCall(PetscStrlcat(mtypes, ((PetscObject)A)->type_name, sizeof(mtypes)));
467:     PetscCall(PetscStrlcat(mtypes, "_", sizeof(mtypes)));
468:     PetscCall(PetscStrlcat(mtypes, ((PetscObject)B)->type_name, sizeof(mtypes)));
469:     if (C) {
470:       PetscCall(PetscStrlcat(mtypes, "_", sizeof(mtypes)));
471:       PetscCall(PetscStrlcat(mtypes, ((PetscObject)C)->type_name, sizeof(mtypes)));
472:     }
473:     PetscCall(PetscStrlcat(mtypes, "_C", sizeof(mtypes)));
474: #if defined(__clang__)
475:     PETSC_PRAGMA_DIAGNOSTIC_IGNORED_BEGIN("-Wformat-pedantic")
476: #elif defined(__GNUC__) || defined(__GNUG__)
477:     PETSC_PRAGMA_DIAGNOSTIC_IGNORED_BEGIN("-Wformat")
478: #endif
479:     PetscCall(PetscObjectQueryFunction((PetscObject)A, mtypes, &f));
480:     PetscCall(PetscInfo(mat, "  querying %s from A? %p\n", mtypes, f));
481:     if (!f) {
482:       PetscCall(PetscObjectQueryFunction((PetscObject)B, mtypes, &f));
483:       PetscCall(PetscInfo(mat, "  querying %s from %s? %p\n", mtypes, bname, f));
484:     }
485:     if (!f && C) {
486:       PetscCall(PetscObjectQueryFunction((PetscObject)C, mtypes, &f));
487:       PetscCall(PetscInfo(mat, "  querying %s from C? %p\n", mtypes, f));
488:     }
489:     if (f) PetscCall((*f)(mat));

491:     /* We may have found f but it did not succeed */
492:     /* some matrices (i.e. MATTRANSPOSEVIRTUAL, MATSHELL constructed from MatConvert), knows what to do with their inner matrices */
493:     if (!mat->ops->productsymbolic) {
494:       PetscCall(PetscStrncpy(mtypes, "MatProductSetFromOptions_anytype_C", sizeof(mtypes)));
495:       PetscCall(PetscObjectQueryFunction((PetscObject)A, mtypes, &f));
496:       PetscCall(PetscInfo(mat, "  querying %s from A? %p\n", mtypes, f));
497:       if (!f) {
498:         PetscCall(PetscObjectQueryFunction((PetscObject)B, mtypes, &f));
499:         PetscCall(PetscInfo(mat, "  querying %s from %s? %p\n", mtypes, bname, f));
500:       }
501:       if (!f && C) {
502:         PetscCall(PetscObjectQueryFunction((PetscObject)C, mtypes, &f));
503:         PetscCall(PetscInfo(mat, "  querying %s from C? %p\n", mtypes, f));
504:       }
505:     }
506:     if (f) PetscCall((*f)(mat));
507:   }
508:   PETSC_PRAGMA_DIAGNOSTIC_IGNORED_END()
509:   /* We may have found f but it did not succeed */
510:   if (!mat->ops->productsymbolic) {
511:     /* we can still compute the product if B is of type dense */
512:     if (product->type == MATPRODUCT_AB || product->type == MATPRODUCT_AtB) {
513:       PetscBool isdense;

515:       PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)B, &isdense, MATSEQDENSE, MATMPIDENSE, ""));
516:       if (isdense) {
517:         mat->ops->productsymbolic = MatProductSymbolic_X_Dense;
518:         PetscCall(PetscInfo(mat, "  using basic looping over columns of a dense matrix\n"));
519:       }
520:     } else if (product->type != MATPRODUCT_ABt) { /* use MatProductSymbolic/Numeric_Unsafe() for triple products only */
521:       /*
522:          TODO: this should be changed to a proper setfromoptions, not setting the symbolic pointer here, because we do not know if
523:                the combination will succeed. In order to be sure, we need MatProductGetProductType to return the type of the result
524:                before computing the symbolic phase
525:       */
526:       PetscCall(PetscInfo(mat, "  symbolic product not supported, using MatProductSymbolic_Unsafe() implementation\n"));
527:       mat->ops->productsymbolic = MatProductSymbolic_Unsafe;
528:     }
529:   }
530:   if (!mat->ops->productsymbolic) PetscCall(PetscInfo(mat, "  symbolic product is not supported\n"));
531:   PetscFunctionReturn(PETSC_SUCCESS);
532: }

534: /*@
535:   MatProductSetFromOptions - Sets the options for the computation of a matrix-matrix product operation where the type,
536:   the algorithm etc are determined from the options database.

538:   Logically Collective

540:   Input Parameter:
541: . mat - the matrix whose values are computed via a matrix-matrix product operation

543:   Options Database Keys:
544: + -mat_product_clear                 - Clear intermediate data structures after `MatProductNumeric()` has been called
545: . -mat_product_algorithm algorithm   - Sets the algorithm, see `MatProductAlgorithm` for possible values
546: - -mat_product_algorithm_backend_cpu - Use the CPU to perform the computation even if the matrix is a GPU matrix

548:   Level: intermediate

550:   Note:
551:   The `-mat_product_clear` option reduces memory usage but means that the matrix cannot be re-used for a matrix-matrix product operation

553: .seealso: [](ch_matrices), `MatProduct`, `Mat`, `MatSetFromOptions()`, `MatProductCreate()`, `MatProductCreateWithMat()`, `MatProductNumeric()`,
554:           `MatProductSetType()`, `MatProductSetAlgorithm()`, `MatProductAlgorithm`
555: @*/
556: PetscErrorCode MatProductSetFromOptions(Mat mat)
557: {
558:   PetscFunctionBegin;
560:   MatCheckProduct(mat, 1);
561:   PetscCheck(!mat->product->data, PetscObjectComm((PetscObject)mat), PETSC_ERR_ORDER, "Cannot call MatProductSetFromOptions() with already present data");
562:   mat->product->setfromoptionscalled = PETSC_TRUE;
563:   PetscObjectOptionsBegin((PetscObject)mat);
564:   PetscCall(PetscOptionsBool("-mat_product_clear", "Clear intermediate data structures after MatProductNumeric() has been called", "MatProductClear", mat->product->clear, &mat->product->clear, NULL));
565:   PetscCall(PetscOptionsDeprecated("-mat_freeintermediatedatastructures", "-mat_product_clear", "3.13", "Or call MatProductClear() after MatProductNumeric()"));
566:   PetscOptionsEnd();
567:   PetscCall(MatProductSetFromOptions_Private(mat));
568:   PetscCheck(mat->product, PetscObjectComm((PetscObject)mat), PETSC_ERR_PLIB, "Missing product after setup phase");
569:   PetscFunctionReturn(PETSC_SUCCESS);
570: }

572: /*@
573:   MatProductView - View the private matrix-matrix algorithm object within a matrix

575:   Logically Collective

577:   Input Parameters:
578: + mat    - the matrix obtained with `MatProductCreate()` or `MatProductCreateWithMat()`
579: - viewer - where the information on the matrix-matrix algorithm of `mat` should be reviewed

581:   Level: intermediate

583:   Developer Note:
584:   Shouldn't this information be printed from an appropriate `MatView()` with perhaps certain formats set?

586: .seealso: [](ch_matrices), `MatProductType`, `Mat`, `MatProductSetFromOptions()`, `MatView()`, `MatProductCreate()`, `MatProductCreateWithMat()`
587: @*/
588: PetscErrorCode MatProductView(Mat mat, PetscViewer viewer)
589: {
590:   PetscFunctionBegin;
592:   if (!mat->product) PetscFunctionReturn(PETSC_SUCCESS);
593:   if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)mat), &viewer));
595:   PetscCheckSameComm(mat, 1, viewer, 2);
596:   if (mat->product->view) PetscCall((*mat->product->view)(mat, viewer));
597:   PetscFunctionReturn(PETSC_SUCCESS);
598: }

600: /* these are basic implementations relying on the old function pointers
601:  * they are dangerous and should be removed in the future */
602: PetscErrorCode MatProductNumeric_AB(Mat mat)
603: {
604:   Mat_Product *product = mat->product;
605:   Mat          A = product->A, B = product->B;

607:   PetscFunctionBegin;
608:   PetscCall((*mat->ops->matmultnumeric)(A, B, mat));
609:   PetscFunctionReturn(PETSC_SUCCESS);
610: }

612: PetscErrorCode MatProductNumeric_AtB(Mat mat)
613: {
614:   Mat_Product *product = mat->product;
615:   Mat          A = product->A, B = product->B;

617:   PetscFunctionBegin;
618:   PetscCall((*mat->ops->transposematmultnumeric)(A, B, mat));
619:   PetscFunctionReturn(PETSC_SUCCESS);
620: }

622: PetscErrorCode MatProductNumeric_ABt(Mat mat)
623: {
624:   Mat_Product *product = mat->product;
625:   Mat          A = product->A, B = product->B;

627:   PetscFunctionBegin;
628:   PetscCall((*mat->ops->mattransposemultnumeric)(A, B, mat));
629:   PetscFunctionReturn(PETSC_SUCCESS);
630: }

632: PetscErrorCode MatProductNumeric_PtAP(Mat mat)
633: {
634:   Mat_Product *product = mat->product;
635:   Mat          A = product->A, B = product->B;

637:   PetscFunctionBegin;
638:   PetscCall((*mat->ops->ptapnumeric)(A, B, mat));
639:   PetscFunctionReturn(PETSC_SUCCESS);
640: }

642: PetscErrorCode MatProductNumeric_RARt(Mat mat)
643: {
644:   Mat_Product *product = mat->product;
645:   Mat          A = product->A, B = product->B;

647:   PetscFunctionBegin;
648:   PetscCall((*mat->ops->rartnumeric)(A, B, mat));
649:   PetscFunctionReturn(PETSC_SUCCESS);
650: }

652: PetscErrorCode MatProductNumeric_ABC(Mat mat)
653: {
654:   Mat_Product *product = mat->product;
655:   Mat          A = product->A, B = product->B, C = product->C;

657:   PetscFunctionBegin;
658:   PetscCall((*mat->ops->matmatmultnumeric)(A, B, C, mat));
659:   PetscFunctionReturn(PETSC_SUCCESS);
660: }

662: /*@
663:   MatProductNumeric - Compute a matrix-matrix product operation with the numerical values

665:   Collective

667:   Input/Output Parameter:
668: . mat - the matrix whose values are computed via a matrix-matrix product operation

670:   Level: intermediate

672:   Note:
673:   `MatProductSymbolic()` must have been called on `mat` before calling this function

675: .seealso: [](ch_matrices), `MatProduct`, `Mat`, `MatProductSetAlgorithm()`, `MatProductSetType()`, `MatProductCreate()`, `MatSetType()`, `MatProductSymbolic()`
676: @*/
677: PetscErrorCode MatProductNumeric(Mat mat)
678: {
679:   PetscLogEvent eventtype = -1;

681:   PetscFunctionBegin;
683:   MatCheckProduct(mat, 1);
684:   PetscCheck(!mat->structure_only, PetscObjectComm((PetscObject)mat), PETSC_ERR_ARG_WRONGSTATE, "Cannot compute numerical values of a MAT_STRUCTURE_ONLY product");
685:   switch (mat->product->type) {
686:   case MATPRODUCT_AB:
687:     eventtype = MAT_MatMultNumeric;
688:     break;
689:   case MATPRODUCT_AtB:
690:     eventtype = MAT_TransposeMatMultNumeric;
691:     break;
692:   case MATPRODUCT_ABt:
693:     eventtype = MAT_MatTransposeMultNumeric;
694:     break;
695:   case MATPRODUCT_PtAP:
696:     eventtype = MAT_PtAPNumeric;
697:     break;
698:   case MATPRODUCT_RARt:
699:     eventtype = MAT_RARtNumeric;
700:     break;
701:   case MATPRODUCT_ABC:
702:     eventtype = MAT_MatMatMultNumeric;
703:     break;
704:   default:
705:     SETERRQ(PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "ProductType %s is not supported", MatProductTypes[mat->product->type]);
706:   }

708:   if (mat->ops->productnumeric) {
709:     PetscCall(PetscLogEventBegin(eventtype, mat, 0, 0, 0));
710:     PetscUseTypeMethod(mat, productnumeric);
711:     PetscCall(PetscLogEventEnd(eventtype, mat, 0, 0, 0));
712:   } else if (mat->product) {
713:     char errstr[256];

715:     if (mat->product->type == MATPRODUCT_ABC) {
716:       PetscCall(PetscSNPrintf(errstr, 256, "%s with A %s, B %s, C %s", MatProductTypes[mat->product->type], ((PetscObject)mat->product->A)->type_name, ((PetscObject)mat->product->B)->type_name, ((PetscObject)mat->product->C)->type_name));
717:     } else {
718:       PetscCall(PetscSNPrintf(errstr, 256, "%s with A %s, B %s", MatProductTypes[mat->product->type], ((PetscObject)mat->product->A)->type_name, ((PetscObject)mat->product->B)->type_name));
719:     }
720:     SETERRQ(PetscObjectComm((PetscObject)mat), PETSC_ERR_PLIB, "Unspecified numeric phase for product %s", errstr);
721:   }
722:   PetscCheck(mat->product, PetscObjectComm((PetscObject)mat), PETSC_ERR_PLIB, "Missing struct after numeric phase for product");

724:   if (mat->product->clear) PetscCall(MatProductClear(mat));
725:   PetscCall(PetscObjectStateIncrease((PetscObject)mat));
726:   PetscFunctionReturn(PETSC_SUCCESS);
727: }

729: /* these are basic implementations relying on the old function pointers
730:  * they are dangerous and should be removed in the future */
731: PetscErrorCode MatProductSymbolic_AB(Mat mat)
732: {
733:   Mat_Product *product = mat->product;
734:   Mat          A = product->A, B = product->B;

736:   PetscFunctionBegin;
737:   PetscCall((*mat->ops->matmultsymbolic)(A, B, product->fill, mat));
738:   mat->ops->productnumeric = MatProductNumeric_AB;
739:   PetscFunctionReturn(PETSC_SUCCESS);
740: }

742: PetscErrorCode MatProductSymbolic_AtB(Mat mat)
743: {
744:   Mat_Product *product = mat->product;
745:   Mat          A = product->A, B = product->B;

747:   PetscFunctionBegin;
748:   PetscCall((*mat->ops->transposematmultsymbolic)(A, B, product->fill, mat));
749:   mat->ops->productnumeric = MatProductNumeric_AtB;
750:   PetscFunctionReturn(PETSC_SUCCESS);
751: }

753: PetscErrorCode MatProductSymbolic_ABt(Mat mat)
754: {
755:   Mat_Product *product = mat->product;
756:   Mat          A = product->A, B = product->B;

758:   PetscFunctionBegin;
759:   PetscCall((*mat->ops->mattransposemultsymbolic)(A, B, product->fill, mat));
760:   mat->ops->productnumeric = MatProductNumeric_ABt;
761:   PetscFunctionReturn(PETSC_SUCCESS);
762: }

764: PetscErrorCode MatProductSymbolic_ABC(Mat mat)
765: {
766:   Mat_Product *product = mat->product;
767:   Mat          A = product->A, B = product->B, C = product->C;

769:   PetscFunctionBegin;
770:   PetscCall((*mat->ops->matmatmultsymbolic)(A, B, C, product->fill, mat));
771:   mat->ops->productnumeric = MatProductNumeric_ABC;
772:   PetscFunctionReturn(PETSC_SUCCESS);
773: }

775: /*@
776:   MatProductSymbolic - Perform the symbolic portion of a matrix-matrix product operation, this creates a data structure for use with the numerical
777:   product to be done with `MatProductNumeric()`

779:   Collective

781:   Input/Output Parameter:
782: . mat - the matrix whose values are to be computed via a matrix-matrix product operation

784:   Level: intermediate

786:   Notes:
787:   `MatProductSetFromOptions()` must have been called on `mat` before calling this function.
788:   For `MATPRODUCT_AB` and `MATPRODUCT_AtB` with AIJ inputs, setting `MAT_STRUCTURE_ONLY` on `mat` before
789:   `MatProductSetFromOptions()` requests an assembled graph without numerical values. These products use the
790:   native CPU symbolic algorithms (`sorted` for sequential AB, `outerproduct` for sequential AtB, and `scalable`
791:   for MPI products), overriding the selected algorithm, and return `MATSEQAIJ` or `MATMPIAIJ`, including for device AIJ inputs.
792:   Call `MatProductClear()` when the product context is no longer needed. `MatProductNumeric()` cannot be used on a structure-only result.

794: .seealso: [](ch_matrices), `MatProduct`, `Mat`, `MatProductCreate()`, `MatProductCreateWithMat()`, `MatProductSetFromOptions()`, `MatProductNumeric()`, `MatProductSetType()`, `MatProductSetAlgorithm()`
795: @*/
796: PetscErrorCode MatProductSymbolic(Mat mat)
797: {
798:   PetscLogEvent eventtype = -1;
799:   PetscBool     missing   = PETSC_FALSE;
800:   Mat_Product  *product   = mat->product;
801:   Mat           A         = product->A;
802:   Mat           B         = product->B;
803:   Mat           C         = product->C;

805:   PetscFunctionBegin;
807:   MatCheckProduct(mat, 1);
808:   PetscCheck(!mat->product->data, PetscObjectComm((PetscObject)mat), PETSC_ERR_ORDER, "Cannot run symbolic phase. Product data not empty");
809:   switch (mat->product->type) {
810:   case MATPRODUCT_AB:
811:     eventtype = MAT_MatMultSymbolic;
812:     break;
813:   case MATPRODUCT_AtB:
814:     eventtype = MAT_TransposeMatMultSymbolic;
815:     break;
816:   case MATPRODUCT_ABt:
817:     eventtype = MAT_MatTransposeMultSymbolic;
818:     break;
819:   case MATPRODUCT_PtAP:
820:     eventtype = MAT_PtAPSymbolic;
821:     break;
822:   case MATPRODUCT_RARt:
823:     eventtype = MAT_RARtSymbolic;
824:     break;
825:   case MATPRODUCT_ABC:
826:     eventtype = MAT_MatMatMultSymbolic;
827:     break;
828:   default:
829:     SETERRQ(PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "ProductType %s is not supported", MatProductTypes[mat->product->type]);
830:   }
831:   mat->ops->productnumeric = NULL;
832:   if (mat->ops->productsymbolic) {
833:     PetscCall(PetscLogEventBegin(eventtype, mat, 0, 0, 0));
834:     PetscUseTypeMethod(mat, productsymbolic);
835:     PetscCall(PetscLogEventEnd(eventtype, mat, 0, 0, 0));
836:   } else missing = PETSC_TRUE;
837:   if (missing || !mat->product || !mat->ops->productnumeric) {
838:     char errstr[256];

840:     if (mat->product->type == MATPRODUCT_ABC) {
841:       PetscCall(PetscSNPrintf(errstr, 256, "%s with A %s, B %s, C %s", MatProductTypes[mat->product->type], ((PetscObject)mat->product->A)->type_name, ((PetscObject)mat->product->B)->type_name, ((PetscObject)mat->product->C)->type_name));
842:     } else {
843:       PetscCall(PetscSNPrintf(errstr, 256, "%s with A %s, B %s", MatProductTypes[mat->product->type], ((PetscObject)mat->product->A)->type_name, ((PetscObject)mat->product->B)->type_name));
844:     }
845:     PetscCheck(mat->product->setfromoptionscalled, PetscObjectComm((PetscObject)mat), PETSC_ERR_PLIB, "Unspecified symbolic phase for product %s. Call MatProductSetFromOptions() first", errstr);
846:     PetscCheck(!missing, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Unspecified symbolic phase for product %s. The product is not supported", errstr);
847:     PetscCheck(mat->product, PetscObjectComm((PetscObject)mat), PETSC_ERR_PLIB, "Missing struct after symbolic phase for product %s", errstr);
848:   }
849:   PetscCall(MatGetNonzeroState(mat->product->A, &mat->product->Anonzerostate));
850: #if PetscDefined(HAVE_DEVICE)
851:   PetscBool bindingpropagates;
852:   bindingpropagates = (PetscBool)((A->boundtocpu && A->bindingpropagates) || (B->boundtocpu && B->bindingpropagates));
853:   if (C) bindingpropagates = (PetscBool)(bindingpropagates || (C->boundtocpu && C->bindingpropagates));
854:   if (bindingpropagates) {
855:     PetscCall(MatBindToCPU(mat, PETSC_TRUE));
856:     PetscCall(MatSetBindingPropagates(mat, PETSC_TRUE));
857:   }
858: #endif
859:   /* set block sizes */
860:   switch (product->type) {
861:   case MATPRODUCT_PtAP:
862:     if (B->cmap->bs > 1) PetscCall(MatSetBlockSizes(mat, B->cmap->bs, B->cmap->bs));
863:     break;
864:   case MATPRODUCT_RARt:
865:     if (B->rmap->bs > 1) PetscCall(MatSetBlockSizes(mat, B->rmap->bs, B->rmap->bs));
866:     break;
867:   case MATPRODUCT_ABC:
868:     PetscCall(MatSetBlockSizesFromMats(mat, A, C));
869:     break;
870:   case MATPRODUCT_AB:
871:     PetscCall(MatSetBlockSizesFromMats(mat, A, B));
872:     break;
873:   case MATPRODUCT_AtB:
874:     if (A->cmap->bs > 1 || B->cmap->bs > 1) PetscCall(MatSetBlockSizes(mat, A->cmap->bs, B->cmap->bs));
875:     break;
876:   case MATPRODUCT_ABt:
877:     if (A->rmap->bs > 1 || B->rmap->bs > 1) PetscCall(MatSetBlockSizes(mat, A->rmap->bs, B->rmap->bs));
878:     break;
879:   default:
880:     SETERRQ(PetscObjectComm((PetscObject)mat), PETSC_ERR_PLIB, "Not for ProductType %s", MatProductTypes[product->type]);
881:   }
882:   PetscFunctionReturn(PETSC_SUCCESS);
883: }

885: /*@
886:   MatProductSetFill - Set an expected fill of the matrix whose values are computed via a matrix-matrix product operation

888:   Collective

890:   Input Parameters:
891: + mat  - the matrix whose values are to be computed via a matrix-matrix product operation
892: - fill - expected fill as ratio of nnz(mat)/(nnz(A) + nnz(B) + nnz(C)); use `PETSC_DETERMINE` or `PETSC_CURRENT` if you do not have a good estimate.
893:          If the product is a dense matrix, this value is not used.

895:   Level: intermediate

897:   Notes:
898:   Use `fill` of `PETSC_DETERMINE` to use the default value.

900:   The deprecated `PETSC_DEFAULT` is also supported to mean use the current value.

902: .seealso: [](ch_matrices), `MatProduct`, `PETSC_DETERMINE`, `Mat`, `MatProductSetFromOptions()`, `MatProductSetType()`, `MatProductSetAlgorithm()`, `MatProductCreate()`
903: @*/
904: PetscErrorCode MatProductSetFill(Mat mat, PetscReal fill)
905: {
906:   PetscFunctionBegin;
908:   MatCheckProduct(mat, 1);
909:   if (fill == (PetscReal)PETSC_DETERMINE) mat->product->fill = mat->product->default_fill;
910:   else if (fill != (PetscReal)PETSC_CURRENT) mat->product->fill = fill;
911:   PetscFunctionReturn(PETSC_SUCCESS);
912: }

914: /*@
915:   MatProductSetAlgorithm - Requests a particular algorithm for a matrix-matrix product operation that will perform to compute the given matrix

917:   Collective

919:   Input Parameters:
920: + mat - the matrix whose values are computed via a matrix-matrix product operation
921: - alg - particular implementation algorithm of the matrix product, e.g., `MATPRODUCTALGORITHMDEFAULT`.

923:   Options Database Key:
924: . -mat_product_algorithm algorithm - Sets the algorithm, see `MatProductAlgorithm`

926:   Level: intermediate

928: .seealso: [](ch_matrices), `MatProduct`, `Mat`, `MatProductClear()`, `MatProductSetType()`, `MatProductSetFill()`, `MatProductCreate()`, `MatProductAlgorithm`, `MatProductType`, `MatProductGetAlgorithm()`
929: @*/
930: PetscErrorCode MatProductSetAlgorithm(Mat mat, MatProductAlgorithm alg)
931: {
932:   PetscFunctionBegin;
934:   MatCheckProduct(mat, 1);
935:   PetscCall(PetscFree(mat->product->alg));
936:   PetscCall(PetscStrallocpy(alg, &mat->product->alg));
937:   PetscFunctionReturn(PETSC_SUCCESS);
938: }

940: /*@
941:   MatProductGetAlgorithm - Returns the selected algorithm for a matrix-matrix product operation

943:   Not Collective

945:   Input Parameter:
946: . mat - the matrix whose values are computed via a matrix-matrix product operation

948:   Output Parameter:
949: . alg - the selected algorithm of the matrix product, e.g., `MATPRODUCTALGORITHMDEFAULT`.

951:   Level: intermediate

953: .seealso: [](ch_matrices), `MatProduct`, `Mat`, `MatProductSetAlgorithm()`
954: @*/
955: PetscErrorCode MatProductGetAlgorithm(Mat mat, MatProductAlgorithm *alg)
956: {
957:   PetscFunctionBegin;
959:   PetscAssertPointer(alg, 2);
960:   if (mat->product) *alg = mat->product->alg;
961:   else *alg = NULL;
962:   PetscFunctionReturn(PETSC_SUCCESS);
963: }

965: /*@
966:   MatProductSetType - Sets a particular matrix-matrix product operation to be used to compute the values of the given matrix

968:   Collective

970:   Input Parameters:
971: + mat        - the matrix whose values are computed via a matrix-matrix product operation
972: - productype - matrix product type, e.g., `MATPRODUCT_AB`,`MATPRODUCT_AtB`,`MATPRODUCT_ABt`,`MATPRODUCT_PtAP`,`MATPRODUCT_RARt`,`MATPRODUCT_ABC`,
973:                see `MatProductType`

975:   Level: intermediate

977:   Note:
978:   The small t represents the transpose operation.

980: .seealso: [](ch_matrices), `MatProduct`, `Mat`, `MatProductCreate()`, `MatProductType`,
981:           `MATPRODUCT_AB`, `MATPRODUCT_AtB`, `MATPRODUCT_ABt`, `MATPRODUCT_PtAP`, `MATPRODUCT_RARt`, `MATPRODUCT_ABC`
982: @*/
983: PetscErrorCode MatProductSetType(Mat mat, MatProductType productype)
984: {
985:   PetscFunctionBegin;
987:   MatCheckProduct(mat, 1);
989:   if (productype != mat->product->type) {
990:     if (mat->product->destroy) PetscCall((*mat->product->destroy)(&mat->product->data));
991:     mat->product->destroy     = NULL;
992:     mat->product->data        = NULL;
993:     mat->ops->productsymbolic = NULL;
994:     mat->ops->productnumeric  = NULL;
995:   }
996:   mat->product->type = productype;
997:   PetscFunctionReturn(PETSC_SUCCESS);
998: }

1000: /*@
1001:   MatProductClear - Clears from the matrix any internal data structures related to the computation of the values of the matrix from matrix-matrix product operations

1003:   Collective

1005:   Input Parameter:
1006: . mat - the matrix whose values are to be computed via a matrix-matrix product operation

1008:   Options Database Key:
1009: . -mat_product_clear - Clear intermediate data structures after `MatProductNumeric()` has been called

1011:   Level: intermediate

1013:   Notes:
1014:   This function should be called to remove any intermediate data used to compute the matrix to free up memory.

1016:   After having called this function, matrix-matrix product operations can no longer be used on `mat`

1018:   Developer Note:
1019:   This frees the `Mat_Product` context that was attached to the matrix during `MatProductCreate()` or `MatProductCreateWithMat()`

1021: .seealso: [](ch_matrices), `MatProduct`, `Mat`, `MatProductCreate()`
1022: @*/
1023: PetscErrorCode MatProductClear(Mat mat)
1024: {
1025:   Mat_Product *product = mat->product;

1027:   PetscFunctionBegin;
1029:   if (product) {
1030:     PetscCall(MatDestroy(&product->A));
1031:     PetscCall(MatDestroy(&product->B));
1032:     PetscCall(MatDestroy(&product->C));
1033:     PetscCall(PetscFree(product->alg));
1034:     PetscCall(MatDestroy(&product->Dwork));
1035:     if (product->destroy) PetscCall((*product->destroy)(&product->data));
1036:   }
1037:   PetscCall(PetscFree(mat->product));
1038:   mat->ops->productsymbolic = NULL;
1039:   mat->ops->productnumeric  = NULL;
1040:   PetscFunctionReturn(PETSC_SUCCESS);
1041: }

1043: /* Create a supporting struct and attach it to the matrix product */
1044: PetscErrorCode MatProductCreate_Private(Mat A, Mat B, Mat C, Mat D)
1045: {
1046:   Mat_Product *product = NULL;

1048:   PetscFunctionBegin;
1050:   PetscCheck(!D->product, PetscObjectComm((PetscObject)D), PETSC_ERR_PLIB, "Product already present");
1051:   PetscCall(PetscNew(&product));
1052:   product->A                    = A;
1053:   product->B                    = B;
1054:   product->C                    = C;
1055:   product->type                 = MATPRODUCT_UNSPECIFIED;
1056:   product->Dwork                = NULL;
1057:   product->api_user             = PETSC_FALSE;
1058:   product->clear                = PETSC_FALSE;
1059:   product->setfromoptionscalled = PETSC_FALSE;
1060:   PetscObjectParameterSetDefault(product, fill, 2);
1061:   D->product = product;

1063:   PetscCall(MatProductSetAlgorithm(D, MATPRODUCTALGORITHMDEFAULT));
1064:   PetscCall(MatProductSetFill(D, PETSC_DEFAULT));

1066:   PetscCall(PetscObjectReference((PetscObject)A));
1067:   PetscCall(PetscObjectReference((PetscObject)B));
1068:   PetscCall(PetscObjectReference((PetscObject)C));
1069:   PetscFunctionReturn(PETSC_SUCCESS);
1070: }

1072: /*@
1073:   MatProductCreateWithMat - Set a given matrix to have its values computed via matrix-matrix operations on other matrices.

1075:   Collective

1077:   Input Parameters:
1078: + A - the first matrix
1079: . B - the second matrix
1080: . C - the third matrix (optional, use `NULL` if not needed)
1081: - D - the matrix whose values are to be computed via a matrix-matrix product operation

1083:   Level: intermediate

1085:   Notes:
1086:   Use `MatProductCreate()` if the matrix you wish computed `D` does not exist

1088:   See `MatProductCreate()` for details on the usage of the matrix-matrix product operations

1090:   Any product data currently attached to `D` will be freed

1092: .seealso: [](ch_matrices), `MatProduct`, `Mat`, `MatProductType`, `MatProductSetType()`, `MatProductAlgorithm`,
1093:           `MatProductSetAlgorithm`, `MatProductCreate()`, `MatProductClear()`
1094: @*/
1095: PetscErrorCode MatProductCreateWithMat(Mat A, Mat B, Mat C, Mat D)
1096: {
1097:   PetscFunctionBegin;
1100:   MatCheckPreallocated(A, 1);
1101:   PetscCheck(A->assembled, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_WRONGSTATE, "Not for unassembled matrix");
1102:   PetscCheck(!A->factortype, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix");

1106:   MatCheckPreallocated(B, 2);
1107:   PetscCheck(B->assembled, PetscObjectComm((PetscObject)B), PETSC_ERR_ARG_WRONGSTATE, "Not for unassembled matrix");
1108:   PetscCheck(!B->factortype, PetscObjectComm((PetscObject)B), PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix");

1110:   if (C) {
1113:     MatCheckPreallocated(C, 3);
1114:     PetscCheck(C->assembled, PetscObjectComm((PetscObject)C), PETSC_ERR_ARG_WRONGSTATE, "Not for unassembled matrix");
1115:     PetscCheck(!C->factortype, PetscObjectComm((PetscObject)C), PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix");
1116:   }

1120:   MatCheckPreallocated(D, 4);
1121:   PetscCheck(D->assembled, PetscObjectComm((PetscObject)D), PETSC_ERR_ARG_WRONGSTATE, "Not for unassembled matrix");
1122:   PetscCheck(!D->factortype, PetscObjectComm((PetscObject)D), PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix");

1124:   /* Create a supporting struct and attach it to D */
1125:   PetscCall(MatProductClear(D));
1126:   PetscCall(MatProductCreate_Private(A, B, C, D));
1127:   PetscFunctionReturn(PETSC_SUCCESS);
1128: }

1130: /*@
1131:   MatProductCreate - create a matrix to hold the result of a matrix-matrix (or matrix-matrix-matrix) product operation

1133:   Collective

1135:   Input Parameters:
1136: + A - the first matrix
1137: . B - the second matrix
1138: - C - the third matrix (or `NULL`)

1140:   Output Parameter:
1141: . D - the matrix whose values are to be computed via a matrix-matrix product operation

1143:   Level: intermediate

1145:   Example:
1146: .vb
1147:     MatProductCreate(A,B,C,&D); or MatProductCreateWithMat(A,B,C,D)
1148:     MatProductSetType(D, MATPRODUCT_AB or MATPRODUCT_AtB or MATPRODUCT_ABt or MATPRODUCT_PtAP or MATPRODUCT_RARt or MATPRODUCT_ABC)
1149:     MatProductSetAlgorithm(D, alg)
1150:     MatProductSetFill(D,fill)
1151:     MatProductSetFromOptions(D)
1152:     MatProductSymbolic(D)
1153:     MatProductNumeric(D)
1154:     Change numerical values in some of the matrices
1155:     MatProductNumeric(D)
1156: .ve

1158:   Notes:
1159:   Use `MatProductCreateWithMat()` if `D` the matrix you wish computed already exists.

1161:   The information computed during the symbolic stage can be reused for new numerical computations with the same non-zero structure of the input matrices.

1163:   Developer Notes:
1164:   It is undocumented what happens if the nonzero structure of the input matrices changes. Is the symbolic stage automatically redone? Does it crash?
1165:   Is there error checking for it?

1167:   On this call, auxiliary data needed to compute the product is stored in `D` in a `Mat_Product` context. A call to `MatProductClear()` frees this
1168:   information.

1170:   Each `MatProductAlgorithm` associated with a particular `MatType` stores additional data needed for the product computation
1171:   (generally this data is computed in `MatProductSymbolic()`) inside the `Mat_Product` context in a `MatProductCtx_XXX` data structure
1172:   and provides a `MatProductCtxDestroy_XXX()` routine to free that data. The `MatProductAlgorithm` and `MatType` specific destroy routine is called by
1173:   `MatProductClear()`.

1175: .seealso: [](ch_matrices), `MatProduct`, `Mat`, `MatProductCreateWithMat()`, `MatProductSetType()`, `MatProductSetAlgorithm()`, `MatProductClear()`,
1176:           `MatProductSymbolic()`, `MatProductNumeric()`, `MatProductAlgorithm`, `MatProductType`
1177: @*/
1178: PetscErrorCode MatProductCreate(Mat A, Mat B, Mat C, Mat *D)
1179: {
1180:   PetscFunctionBegin;
1185:   PetscCheck(!A->factortype, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix A");
1186:   PetscCheck(!B->factortype, PetscObjectComm((PetscObject)B), PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix B");

1188:   if (C) {
1191:     PetscCheck(!C->factortype, PetscObjectComm((PetscObject)C), PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix C");
1192:   }

1194:   PetscAssertPointer(D, 4);
1195:   PetscCall(MatCreate(PetscObjectComm((PetscObject)A), D));
1196:   /* Delay setting type of D to the MatProduct symbolic phase, as we allow sparse A and dense B */
1197:   PetscCall(MatProductCreate_Private(A, B, C, *D));
1198:   PetscFunctionReturn(PETSC_SUCCESS);
1199: }

1201: /*
1202:    These are safe basic implementations of ABC, RARt and PtAP
1203:    that do not rely on mat->ops->matmatop function pointers.
1204:    They only use the MatProduct API and are currently used by
1205:    cuSPARSE and KOKKOS-KERNELS backends
1206: */
1207: typedef struct {
1208:   Mat BC;
1209:   Mat ABC;
1210: } MatProductCtx_MatMatMatPrivate;

1212: static PetscErrorCode MatProductCtxDestroy_MatMatMatPrivate(PetscCtxRt data)
1213: {
1214:   MatProductCtx_MatMatMatPrivate *mmdata = *(MatProductCtx_MatMatMatPrivate **)data;

1216:   PetscFunctionBegin;
1217:   PetscCall(MatDestroy(&mmdata->BC));
1218:   PetscCall(MatDestroy(&mmdata->ABC));
1219:   PetscCall(PetscFree(mmdata));
1220:   PetscFunctionReturn(PETSC_SUCCESS);
1221: }

1223: static PetscErrorCode MatProductNumeric_ABC_Basic(Mat mat)
1224: {
1225:   Mat_Product                    *product = mat->product;
1226:   MatProductCtx_MatMatMatPrivate *mmabc;

1228:   PetscFunctionBegin;
1229:   MatCheckProduct(mat, 1);
1230:   PetscCheck(mat->product->data, PetscObjectComm((PetscObject)mat), PETSC_ERR_PLIB, "Product data empty");
1231:   mmabc = (MatProductCtx_MatMatMatPrivate *)mat->product->data;
1232:   PetscCheck(mmabc->BC->ops->productnumeric, PetscObjectComm((PetscObject)mat), PETSC_ERR_PLIB, "Missing numeric stage");
1233:   /* use function pointer directly to prevent logging */
1234:   PetscCall((*mmabc->BC->ops->productnumeric)(mmabc->BC));
1235:   /* swap ABC product stuff with that of ABC for the numeric phase on mat */
1236:   mat->product             = mmabc->ABC->product;
1237:   mat->ops->productnumeric = mmabc->ABC->ops->productnumeric;
1238:   /* use function pointer directly to prevent logging */
1239:   PetscUseTypeMethod(mat, productnumeric);
1240:   mat->ops->productnumeric = MatProductNumeric_ABC_Basic;
1241:   mat->product             = product;
1242:   PetscFunctionReturn(PETSC_SUCCESS);
1243: }

1245: PetscErrorCode MatProductSymbolic_ABC_Basic(Mat mat)
1246: {
1247:   Mat_Product                    *product = mat->product;
1248:   Mat                             A, B, C;
1249:   MatProductType                  p1, p2;
1250:   MatProductCtx_MatMatMatPrivate *mmabc;
1251:   const char                     *prefix;

1253:   PetscFunctionBegin;
1254:   MatCheckProduct(mat, 1);
1255:   PetscCheck(!mat->product->data, PetscObjectComm((PetscObject)mat), PETSC_ERR_PLIB, "Product data not empty");
1256:   PetscCall(MatGetOptionsPrefix(mat, &prefix));
1257:   PetscCall(PetscNew(&mmabc));
1258:   product->data    = mmabc;
1259:   product->destroy = MatProductCtxDestroy_MatMatMatPrivate;
1260:   switch (product->type) {
1261:   case MATPRODUCT_PtAP:
1262:     p1 = MATPRODUCT_AB;
1263:     p2 = MATPRODUCT_AtB;
1264:     A  = product->B;
1265:     B  = product->A;
1266:     C  = product->B;
1267:     if (A->cmap->bs > 0 && C->cmap->bs > 0) PetscCall(MatSetBlockSizes(mat, A->cmap->bs, C->cmap->bs));
1268:     break;
1269:   case MATPRODUCT_RARt:
1270:     p1 = MATPRODUCT_ABt;
1271:     p2 = MATPRODUCT_AB;
1272:     A  = product->B;
1273:     B  = product->A;
1274:     C  = product->B;
1275:     if (A->rmap->bs > 0 && C->rmap->bs > 0) PetscCall(MatSetBlockSizes(mat, A->rmap->bs, C->rmap->bs));
1276:     break;
1277:   case MATPRODUCT_ABC:
1278:     p1 = MATPRODUCT_AB;
1279:     p2 = MATPRODUCT_AB;
1280:     A  = product->A;
1281:     B  = product->B;
1282:     C  = product->C;
1283:     PetscCall(MatSetBlockSizesFromMats(mat, A, C));
1284:     break;
1285:   default:
1286:     SETERRQ(PetscObjectComm((PetscObject)mat), PETSC_ERR_PLIB, "Not for ProductType %s", MatProductTypes[product->type]);
1287:   }
1288:   PetscCall(MatProductCreate(B, C, NULL, &mmabc->BC));
1289:   PetscCall(MatSetOptionsPrefix(mmabc->BC, prefix));
1290:   PetscCall(MatAppendOptionsPrefix(mmabc->BC, "P1_"));
1291:   PetscCall(MatProductSetType(mmabc->BC, p1));
1292:   PetscCall(MatProductSetAlgorithm(mmabc->BC, MATPRODUCTALGORITHMDEFAULT));
1293:   PetscCall(MatProductSetFill(mmabc->BC, product->fill));
1294:   mmabc->BC->product->api_user = product->api_user;
1295:   PetscCall(MatProductSetFromOptions(mmabc->BC));
1296:   PetscCheck(mmabc->BC->ops->productsymbolic, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Symbolic ProductType %s not supported with %s and %s", MatProductTypes[p1], ((PetscObject)B)->type_name, ((PetscObject)C)->type_name);
1297:   /* use function pointer directly to prevent logging */
1298:   PetscCall((*mmabc->BC->ops->productsymbolic)(mmabc->BC));

1300:   PetscCall(MatProductCreate(A, mmabc->BC, NULL, &mmabc->ABC));
1301:   PetscCall(MatSetOptionsPrefix(mmabc->ABC, prefix));
1302:   PetscCall(MatAppendOptionsPrefix(mmabc->ABC, "P2_"));
1303:   PetscCall(MatProductSetType(mmabc->ABC, p2));
1304:   PetscCall(MatProductSetAlgorithm(mmabc->ABC, MATPRODUCTALGORITHMDEFAULT));
1305:   PetscCall(MatProductSetFill(mmabc->ABC, product->fill));
1306:   mmabc->ABC->product->api_user = product->api_user;
1307:   PetscCall(MatProductSetFromOptions(mmabc->ABC));
1308:   PetscCheck(mmabc->ABC->ops->productsymbolic, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Symbolic ProductType %s not supported with %s and %s", MatProductTypes[p2], ((PetscObject)A)->type_name, ((PetscObject)mmabc->BC)->type_name);
1309:   /* swap ABC product stuff with that of ABC for the symbolic phase on mat */
1310:   mat->product              = mmabc->ABC->product;
1311:   mat->ops->productsymbolic = mmabc->ABC->ops->productsymbolic;
1312:   /* use function pointer directly to prevent logging */
1313:   PetscUseTypeMethod(mat, productsymbolic);
1314:   mmabc->ABC->ops->productnumeric = mat->ops->productnumeric;
1315:   mat->ops->productsymbolic       = MatProductSymbolic_ABC_Basic;
1316:   mat->ops->productnumeric        = MatProductNumeric_ABC_Basic;
1317:   mat->product                    = product;
1318:   PetscFunctionReturn(PETSC_SUCCESS);
1319: }

1321: /*@
1322:   MatProductGetType - Returns the type of matrix-matrix product associated with computing values for the given matrix

1324:   Not Collective

1326:   Input Parameter:
1327: . mat - the matrix whose values are to be computed via a matrix-matrix product operation

1329:   Output Parameter:
1330: . mtype - the `MatProductType`

1332:   Level: intermediate

1334: .seealso: [](ch_matrices), `MatProduct`, `Mat`, `MatProductCreateWithMat()`, `MatProductSetType()`, `MatProductCreate()`, `MatProductType`, `MatProductAlgorithm`
1335: @*/
1336: PetscErrorCode MatProductGetType(Mat mat, MatProductType *mtype)
1337: {
1338:   PetscFunctionBegin;
1340:   PetscAssertPointer(mtype, 2);
1341:   *mtype = MATPRODUCT_UNSPECIFIED;
1342:   if (mat->product) *mtype = mat->product->type;
1343:   PetscFunctionReturn(PETSC_SUCCESS);
1344: }

1346: /*@
1347:   MatProductGetMats - Returns the matrices associated with the matrix-matrix product associated with computing values for the given matrix

1349:   Not Collective

1351:   Input Parameter:
1352: . mat - the matrix whose values are to be computed via a matrix-matrix product operation

1354:   Output Parameters:
1355: + A - the first matrix
1356: . B - the second matrix
1357: - C - the third matrix (may be `NULL` for some `MatProductType`)

1359:   Level: intermediate

1361: .seealso: [](ch_matrices), `MatProduct`, `Mat`, `MatProductCreateWithMat()`, `MatProductSetType()`, `MatProductSetAlgorithm()`, `MatProductCreate()`
1362: @*/
1363: PetscErrorCode MatProductGetMats(Mat mat, Mat *A, Mat *B, Mat *C)
1364: {
1365:   PetscFunctionBegin;
1367:   if (A) *A = mat->product ? mat->product->A : NULL;
1368:   if (B) *B = mat->product ? mat->product->B : NULL;
1369:   if (C) *C = mat->product ? mat->product->C : NULL;
1370:   PetscFunctionReturn(PETSC_SUCCESS);
1371: }