Actual source code: mpimatmatmult.c
1: /*
2: Defines matrix-matrix product routines for pairs of MPIAIJ matrices
3: C = A * B
4: */
5: #include <../src/mat/impls/aij/seq/aij.h>
6: #include <../src/mat/utils/freespace.h>
7: #include <../src/mat/impls/aij/mpi/mpiaij.h>
8: #include <petscbt.h>
9: #include <../src/mat/impls/dense/mpi/mpidense.h>
10: #include <petsc/private/vecimpl.h>
11: #include <petsc/private/sfimpl.h>
13: #if defined(PETSC_HAVE_HYPRE)
14: PETSC_INTERN PetscErrorCode MatMatMultSymbolic_AIJ_AIJ_wHYPRE(Mat, Mat, PetscReal, Mat);
15: #endif
17: PETSC_INTERN PetscErrorCode MatProductSymbolic_ABt_MPIAIJ_MPIAIJ(Mat C)
18: {
19: Mat_Product *product = C->product;
20: Mat B = product->B;
22: PetscFunctionBegin;
23: PetscCall(MatTranspose(B, MAT_INITIAL_MATRIX, &product->B));
24: PetscCall(MatDestroy(&B));
25: PetscCall(MatProductSymbolic_AB_MPIAIJ_MPIAIJ(C));
26: PetscFunctionReturn(PETSC_SUCCESS);
27: }
29: PETSC_INTERN PetscErrorCode MatProductSymbolic_AB_MPIAIJ_MPIAIJ(Mat C)
30: {
31: Mat_Product *product = C->product;
32: Mat A = product->A, B = product->B;
33: MatProductAlgorithm alg = product->alg;
34: PetscReal fill = product->fill;
35: PetscBool flg;
37: PetscFunctionBegin;
38: /* scalable */
39: PetscCall(PetscStrcmp(alg, "scalable", &flg));
40: if (flg) {
41: PetscCall(MatMatMultSymbolic_MPIAIJ_MPIAIJ(A, B, fill, C));
42: PetscFunctionReturn(PETSC_SUCCESS);
43: }
45: /* nonscalable */
46: PetscCall(PetscStrcmp(alg, "nonscalable", &flg));
47: if (flg) {
48: PetscCall(MatMatMultSymbolic_MPIAIJ_MPIAIJ_nonscalable(A, B, fill, C));
49: PetscFunctionReturn(PETSC_SUCCESS);
50: }
52: /* seqmpi */
53: PetscCall(PetscStrcmp(alg, "seqmpi", &flg));
54: if (flg) {
55: PetscCall(MatMatMultSymbolic_MPIAIJ_MPIAIJ_seqMPI(A, B, fill, C));
56: PetscFunctionReturn(PETSC_SUCCESS);
57: }
59: /* backend general code */
60: PetscCall(PetscStrcmp(alg, "backend", &flg));
61: if (flg) {
62: PetscCall(MatProductSymbolic_MPIAIJBACKEND(C));
63: PetscFunctionReturn(PETSC_SUCCESS);
64: }
66: #if defined(PETSC_HAVE_HYPRE)
67: PetscCall(PetscStrcmp(alg, "hypre", &flg));
68: if (flg) {
69: PetscCall(MatMatMultSymbolic_AIJ_AIJ_wHYPRE(A, B, fill, C));
70: PetscFunctionReturn(PETSC_SUCCESS);
71: }
72: #endif
73: SETERRQ(PetscObjectComm((PetscObject)C), PETSC_ERR_SUP, "Mat Product Algorithm is not supported");
74: }
76: PetscErrorCode MatDestroy_MPIAIJ_MatMatMult(void *data)
77: {
78: Mat_APMPI *ptap = (Mat_APMPI *)data;
80: PetscFunctionBegin;
81: PetscCall(PetscFree2(ptap->startsj_s, ptap->startsj_r));
82: PetscCall(PetscFree(ptap->bufa));
83: PetscCall(MatDestroy(&ptap->P_loc));
84: PetscCall(MatDestroy(&ptap->P_oth));
85: PetscCall(MatDestroy(&ptap->Pt));
86: PetscCall(PetscFree(ptap->api));
87: PetscCall(PetscFree(ptap->apj));
88: PetscCall(PetscFree(ptap->apa));
89: PetscCall(PetscFree(ptap));
90: PetscFunctionReturn(PETSC_SUCCESS);
91: }
93: PetscErrorCode MatMatMultNumeric_MPIAIJ_MPIAIJ_nonscalable(Mat A, Mat P, Mat C)
94: {
95: Mat_MPIAIJ *a = (Mat_MPIAIJ *)A->data, *c = (Mat_MPIAIJ *)C->data;
96: Mat_SeqAIJ *ad = (Mat_SeqAIJ *)a->A->data, *ao = (Mat_SeqAIJ *)a->B->data;
97: Mat_SeqAIJ *cd = (Mat_SeqAIJ *)c->A->data, *co = (Mat_SeqAIJ *)c->B->data;
98: PetscScalar *cda = cd->a, *coa = co->a;
99: Mat_SeqAIJ *p_loc, *p_oth;
100: PetscScalar *apa, *ca;
101: PetscInt cm = C->rmap->n;
102: Mat_APMPI *ptap;
103: PetscInt *api, *apj, *apJ, i, k;
104: PetscInt cstart = C->cmap->rstart;
105: PetscInt cdnz, conz, k0, k1;
106: const PetscScalar *dummy;
107: MPI_Comm comm;
108: PetscMPIInt size;
110: PetscFunctionBegin;
111: MatCheckProduct(C, 3);
112: ptap = (Mat_APMPI *)C->product->data;
113: PetscCheck(ptap, PetscObjectComm((PetscObject)C), PETSC_ERR_ARG_WRONGSTATE, "PtAP cannot be computed. Missing data");
114: PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
115: PetscCallMPI(MPI_Comm_size(comm, &size));
116: PetscCheck(ptap->P_oth || size <= 1, PetscObjectComm((PetscObject)C), PETSC_ERR_ARG_WRONGSTATE, "AP cannot be reused. Do not call MatProductClear()");
118: /* flag CPU mask for C */
119: #if defined(PETSC_HAVE_DEVICE)
120: if (C->offloadmask != PETSC_OFFLOAD_UNALLOCATED) C->offloadmask = PETSC_OFFLOAD_CPU;
121: if (c->A->offloadmask != PETSC_OFFLOAD_UNALLOCATED) c->A->offloadmask = PETSC_OFFLOAD_CPU;
122: if (c->B->offloadmask != PETSC_OFFLOAD_UNALLOCATED) c->B->offloadmask = PETSC_OFFLOAD_CPU;
123: #endif
125: /* 1) get P_oth = ptap->P_oth and P_loc = ptap->P_loc */
126: /* update numerical values of P_oth and P_loc */
127: PetscCall(MatGetBrowsOfAoCols_MPIAIJ(A, P, MAT_REUSE_MATRIX, &ptap->startsj_s, &ptap->startsj_r, &ptap->bufa, &ptap->P_oth));
128: PetscCall(MatMPIAIJGetLocalMat(P, MAT_REUSE_MATRIX, &ptap->P_loc));
130: /* 2) compute numeric C_loc = A_loc*P = Ad*P_loc + Ao*P_oth */
131: /* get data from symbolic products */
132: p_loc = (Mat_SeqAIJ *)ptap->P_loc->data;
133: p_oth = NULL;
134: if (size > 1) p_oth = (Mat_SeqAIJ *)ptap->P_oth->data;
136: /* get apa for storing dense row A[i,:]*P */
137: apa = ptap->apa;
139: api = ptap->api;
140: apj = ptap->apj;
141: /* trigger copy to CPU */
142: PetscCall(MatSeqAIJGetArrayRead(a->A, &dummy));
143: PetscCall(MatSeqAIJRestoreArrayRead(a->A, &dummy));
144: PetscCall(MatSeqAIJGetArrayRead(a->B, &dummy));
145: PetscCall(MatSeqAIJRestoreArrayRead(a->B, &dummy));
146: for (i = 0; i < cm; i++) {
147: /* compute apa = A[i,:]*P */
148: AProw_nonscalable(i, ad, ao, p_loc, p_oth, apa);
150: /* set values in C */
151: apJ = apj + api[i];
152: cdnz = cd->i[i + 1] - cd->i[i];
153: conz = co->i[i + 1] - co->i[i];
155: /* 1st off-diagonal part of C */
156: ca = PetscSafePointerPlusOffset(coa, co->i[i]);
157: k = 0;
158: for (k0 = 0; k0 < conz; k0++) {
159: if (apJ[k] >= cstart) break;
160: ca[k0] = apa[apJ[k]];
161: apa[apJ[k++]] = 0.0;
162: }
164: /* diagonal part of C */
165: ca = PetscSafePointerPlusOffset(cda, cd->i[i]);
166: for (k1 = 0; k1 < cdnz; k1++) {
167: ca[k1] = apa[apJ[k]];
168: apa[apJ[k++]] = 0.0;
169: }
171: /* 2nd off-diagonal part of C */
172: ca = PetscSafePointerPlusOffset(coa, co->i[i]);
173: for (; k0 < conz; k0++) {
174: ca[k0] = apa[apJ[k]];
175: apa[apJ[k++]] = 0.0;
176: }
177: }
178: PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
179: PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
180: PetscFunctionReturn(PETSC_SUCCESS);
181: }
183: PetscErrorCode MatMatMultSymbolic_MPIAIJ_MPIAIJ_nonscalable(Mat A, Mat P, PetscReal fill, Mat C)
184: {
185: MPI_Comm comm;
186: PetscMPIInt size;
187: Mat_APMPI *ptap;
188: PetscFreeSpaceList free_space = NULL, current_space = NULL;
189: Mat_MPIAIJ *a = (Mat_MPIAIJ *)A->data;
190: Mat_SeqAIJ *ad = (Mat_SeqAIJ *)a->A->data, *ao = (Mat_SeqAIJ *)a->B->data, *p_loc, *p_oth;
191: PetscInt *pi_loc, *pj_loc, *pi_oth, *pj_oth, *dnz, *onz;
192: PetscInt *adi = ad->i, *adj = ad->j, *aoi = ao->i, *aoj = ao->j, rstart = A->rmap->rstart;
193: PetscInt *lnk, i, pnz, row, *api, *apj, *Jptr, apnz, nspacedouble = 0, j, nzi;
194: PetscInt am = A->rmap->n, pN = P->cmap->N, pn = P->cmap->n, pm = P->rmap->n;
195: PetscBT lnkbt;
196: PetscReal afill;
197: MatType mtype;
199: PetscFunctionBegin;
200: MatCheckProduct(C, 4);
201: PetscCheck(!C->product->data, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Extra product struct not empty");
202: PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
203: PetscCallMPI(MPI_Comm_size(comm, &size));
205: /* create struct Mat_APMPI and attached it to C later */
206: PetscCall(PetscNew(&ptap));
208: /* get P_oth by taking rows of P (= non-zero cols of local A) from other processors */
209: PetscCall(MatGetBrowsOfAoCols_MPIAIJ(A, P, MAT_INITIAL_MATRIX, &ptap->startsj_s, &ptap->startsj_r, &ptap->bufa, &ptap->P_oth));
211: /* get P_loc by taking all local rows of P */
212: PetscCall(MatMPIAIJGetLocalMat(P, MAT_INITIAL_MATRIX, &ptap->P_loc));
214: p_loc = (Mat_SeqAIJ *)ptap->P_loc->data;
215: pi_loc = p_loc->i;
216: pj_loc = p_loc->j;
217: if (size > 1) {
218: p_oth = (Mat_SeqAIJ *)ptap->P_oth->data;
219: pi_oth = p_oth->i;
220: pj_oth = p_oth->j;
221: } else {
222: p_oth = NULL;
223: pi_oth = NULL;
224: pj_oth = NULL;
225: }
227: /* first, compute symbolic AP = A_loc*P = A_diag*P_loc + A_off*P_oth */
228: PetscCall(PetscMalloc1(am + 2, &api));
229: ptap->api = api;
230: api[0] = 0;
232: /* create and initialize a linked list */
233: PetscCall(PetscLLCondensedCreate(pN, pN, &lnk, &lnkbt));
235: /* Initial FreeSpace size is fill*(nnz(A)+nnz(P)) */
236: PetscCall(PetscFreeSpaceGet(PetscRealIntMultTruncate(fill, PetscIntSumTruncate(adi[am], PetscIntSumTruncate(aoi[am], pi_loc[pm]))), &free_space));
237: current_space = free_space;
239: MatPreallocateBegin(comm, am, pn, dnz, onz);
240: for (i = 0; i < am; i++) {
241: /* diagonal portion of A */
242: nzi = adi[i + 1] - adi[i];
243: for (j = 0; j < nzi; j++) {
244: row = *adj++;
245: pnz = pi_loc[row + 1] - pi_loc[row];
246: Jptr = pj_loc + pi_loc[row];
247: /* add non-zero cols of P into the sorted linked list lnk */
248: PetscCall(PetscLLCondensedAddSorted(pnz, Jptr, lnk, lnkbt));
249: }
250: /* off-diagonal portion of A */
251: nzi = aoi[i + 1] - aoi[i];
252: for (j = 0; j < nzi; j++) {
253: row = *aoj++;
254: pnz = pi_oth[row + 1] - pi_oth[row];
255: Jptr = pj_oth + pi_oth[row];
256: PetscCall(PetscLLCondensedAddSorted(pnz, Jptr, lnk, lnkbt));
257: }
258: /* add possible missing diagonal entry */
259: if (C->force_diagonals) {
260: j = i + rstart; /* column index */
261: PetscCall(PetscLLCondensedAddSorted(1, &j, lnk, lnkbt));
262: }
264: apnz = lnk[0];
265: api[i + 1] = api[i] + apnz;
267: /* if free space is not available, double the total space in the list */
268: if (current_space->local_remaining < apnz) {
269: PetscCall(PetscFreeSpaceGet(PetscIntSumTruncate(apnz, current_space->total_array_size), ¤t_space));
270: nspacedouble++;
271: }
273: /* Copy data into free space, then initialize lnk */
274: PetscCall(PetscLLCondensedClean(pN, apnz, current_space->array, lnk, lnkbt));
275: PetscCall(MatPreallocateSet(i + rstart, apnz, current_space->array, dnz, onz));
277: current_space->array += apnz;
278: current_space->local_used += apnz;
279: current_space->local_remaining -= apnz;
280: }
282: /* Allocate space for apj, initialize apj, and */
283: /* destroy list of free space and other temporary array(s) */
284: PetscCall(PetscMalloc1(api[am] + 1, &ptap->apj));
285: apj = ptap->apj;
286: PetscCall(PetscFreeSpaceContiguous(&free_space, ptap->apj));
287: PetscCall(PetscLLDestroy(lnk, lnkbt));
289: /* malloc apa to store dense row A[i,:]*P */
290: PetscCall(PetscCalloc1(pN, &ptap->apa));
292: /* set and assemble symbolic parallel matrix C */
293: PetscCall(MatSetSizes(C, am, pn, PETSC_DETERMINE, PETSC_DETERMINE));
294: PetscCall(MatSetBlockSizesFromMats(C, A, P));
296: PetscCall(MatGetType(A, &mtype));
297: PetscCall(MatSetType(C, mtype));
298: PetscCall(MatMPIAIJSetPreallocation(C, 0, dnz, 0, onz));
299: MatPreallocateEnd(dnz, onz);
301: PetscCall(MatSetValues_MPIAIJ_CopyFromCSRFormat_Symbolic(C, apj, api));
302: PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
303: PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
304: PetscCall(MatSetOption(C, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
306: C->ops->matmultnumeric = MatMatMultNumeric_MPIAIJ_MPIAIJ_nonscalable;
307: C->ops->productnumeric = MatProductNumeric_AB;
309: /* attach the supporting struct to C for reuse */
310: C->product->data = ptap;
311: C->product->destroy = MatDestroy_MPIAIJ_MatMatMult;
313: /* set MatInfo */
314: afill = (PetscReal)api[am] / (adi[am] + aoi[am] + pi_loc[pm] + 1) + 1.e-5;
315: if (afill < 1.0) afill = 1.0;
316: C->info.mallocs = nspacedouble;
317: C->info.fill_ratio_given = fill;
318: C->info.fill_ratio_needed = afill;
320: #if defined(PETSC_USE_INFO)
321: if (api[am]) {
322: PetscCall(PetscInfo(C, "Reallocs %" PetscInt_FMT "; Fill ratio: given %g needed %g.\n", nspacedouble, (double)fill, (double)afill));
323: PetscCall(PetscInfo(C, "Use MatMatMult(A,B,MatReuse,%g,&C) for best performance.;\n", (double)afill));
324: } else {
325: PetscCall(PetscInfo(C, "Empty matrix product\n"));
326: }
327: #endif
328: PetscFunctionReturn(PETSC_SUCCESS);
329: }
331: static PetscErrorCode MatMatMultSymbolic_MPIAIJ_MPIDense(Mat, Mat, PetscReal, Mat);
332: static PetscErrorCode MatMatMultNumeric_MPIAIJ_MPIDense(Mat, Mat, Mat);
334: static PetscErrorCode MatProductSetFromOptions_MPIAIJ_MPIDense_AB(Mat C)
335: {
336: Mat_Product *product = C->product;
337: Mat A = product->A, B = product->B;
339: PetscFunctionBegin;
340: if (A->cmap->rstart != B->rmap->rstart || A->cmap->rend != B->rmap->rend)
341: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Matrix local dimensions are incompatible, (%" PetscInt_FMT ", %" PetscInt_FMT ") != (%" PetscInt_FMT ",%" PetscInt_FMT ")", A->cmap->rstart, A->cmap->rend, B->rmap->rstart, B->rmap->rend);
343: C->ops->matmultsymbolic = MatMatMultSymbolic_MPIAIJ_MPIDense;
344: C->ops->productsymbolic = MatProductSymbolic_AB;
345: PetscFunctionReturn(PETSC_SUCCESS);
346: }
348: static PetscErrorCode MatProductSetFromOptions_MPIAIJ_MPIDense_AtB(Mat C)
349: {
350: Mat_Product *product = C->product;
351: Mat A = product->A, B = product->B;
353: PetscFunctionBegin;
354: if (A->rmap->rstart != B->rmap->rstart || A->rmap->rend != B->rmap->rend)
355: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Matrix local dimensions are incompatible, (%" PetscInt_FMT ", %" PetscInt_FMT ") != (%" PetscInt_FMT ",%" PetscInt_FMT ")", A->rmap->rstart, A->rmap->rend, B->rmap->rstart, B->rmap->rend);
357: C->ops->transposematmultsymbolic = MatTransposeMatMultSymbolic_MPIAIJ_MPIDense;
358: C->ops->productsymbolic = MatProductSymbolic_AtB;
359: PetscFunctionReturn(PETSC_SUCCESS);
360: }
362: PETSC_INTERN PetscErrorCode MatProductSetFromOptions_MPIAIJ_MPIDense(Mat C)
363: {
364: Mat_Product *product = C->product;
366: PetscFunctionBegin;
367: switch (product->type) {
368: case MATPRODUCT_AB:
369: PetscCall(MatProductSetFromOptions_MPIAIJ_MPIDense_AB(C));
370: break;
371: case MATPRODUCT_AtB:
372: PetscCall(MatProductSetFromOptions_MPIAIJ_MPIDense_AtB(C));
373: break;
374: default:
375: break;
376: }
377: PetscFunctionReturn(PETSC_SUCCESS);
378: }
380: typedef struct {
381: Mat workB, workB1;
382: MPI_Request *rwaits, *swaits;
383: PetscInt nsends, nrecvs;
384: MPI_Datatype *stype, *rtype;
385: PetscInt blda;
386: } MPIAIJ_MPIDense;
388: static PetscErrorCode MatMPIAIJ_MPIDenseDestroy(void *ctx)
389: {
390: MPIAIJ_MPIDense *contents = (MPIAIJ_MPIDense *)ctx;
391: PetscInt i;
393: PetscFunctionBegin;
394: PetscCall(MatDestroy(&contents->workB));
395: PetscCall(MatDestroy(&contents->workB1));
396: for (i = 0; i < contents->nsends; i++) PetscCallMPI(MPI_Type_free(&contents->stype[i]));
397: for (i = 0; i < contents->nrecvs; i++) PetscCallMPI(MPI_Type_free(&contents->rtype[i]));
398: PetscCall(PetscFree4(contents->stype, contents->rtype, contents->rwaits, contents->swaits));
399: PetscCall(PetscFree(contents));
400: PetscFunctionReturn(PETSC_SUCCESS);
401: }
403: static PetscErrorCode MatMatMultSymbolic_MPIAIJ_MPIDense(Mat A, Mat B, PetscReal fill, Mat C)
404: {
405: Mat_MPIAIJ *aij = (Mat_MPIAIJ *)A->data;
406: PetscInt nz = aij->B->cmap->n, blda, m, M, n, N;
407: MPIAIJ_MPIDense *contents;
408: VecScatter ctx = aij->Mvctx;
409: PetscInt Am = A->rmap->n, Bm = B->rmap->n, BN = B->cmap->N, Bbn, Bbn1, bs, numBb;
410: MPI_Comm comm;
411: MPI_Datatype type1, *stype, *rtype;
412: const PetscInt *sindices, *sstarts, *rstarts;
413: PetscMPIInt *disp, nsends, nrecvs, nrows_to, nrows_from;
414: PetscBool cisdense;
416: PetscFunctionBegin;
417: MatCheckProduct(C, 4);
418: PetscCheck(!C->product->data, PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "Product data not empty");
419: PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
420: PetscCall(PetscObjectBaseTypeCompare((PetscObject)C, MATMPIDENSE, &cisdense));
421: if (!cisdense) PetscCall(MatSetType(C, ((PetscObject)B)->type_name));
422: PetscCall(MatGetLocalSize(C, &m, &n));
423: PetscCall(MatGetSize(C, &M, &N));
424: if (m == PETSC_DECIDE || n == PETSC_DECIDE || M == PETSC_DECIDE || N == PETSC_DECIDE) PetscCall(MatSetSizes(C, Am, B->cmap->n, A->rmap->N, BN));
425: PetscCall(MatSetBlockSizesFromMats(C, A, B));
426: PetscCall(MatSetUp(C));
427: PetscCall(MatDenseGetLDA(B, &blda));
428: PetscCall(PetscNew(&contents));
430: PetscCall(VecScatterGetRemote_Private(ctx, PETSC_TRUE /*send*/, &nsends, &sstarts, &sindices, NULL, NULL));
431: PetscCall(VecScatterGetRemoteOrdered_Private(ctx, PETSC_FALSE /*recv*/, &nrecvs, &rstarts, NULL, NULL, NULL));
433: /* Create column block of B and C for memory scalability when BN is too large */
434: /* Estimate Bbn, column size of Bb */
435: if (nz) {
436: Bbn1 = 2 * Am * BN / nz;
437: if (!Bbn1) Bbn1 = 1;
438: } else Bbn1 = BN;
440: bs = PetscAbs(B->cmap->bs);
441: Bbn1 = Bbn1 / bs * bs; /* Bbn1 is a multiple of bs */
442: if (Bbn1 > BN) Bbn1 = BN;
443: PetscCallMPI(MPIU_Allreduce(&Bbn1, &Bbn, 1, MPIU_INT, MPI_MAX, comm));
445: /* Enable runtime option for Bbn */
446: PetscOptionsBegin(comm, ((PetscObject)C)->prefix, "MatMatMult", "Mat");
447: PetscCall(PetscOptionsInt("-matmatmult_Bbn", "Number of columns in Bb", "MatMatMult", Bbn, &Bbn, NULL));
448: PetscOptionsEnd();
449: Bbn = PetscMin(Bbn, BN);
451: if (Bbn > 0 && Bbn < BN) {
452: numBb = BN / Bbn;
453: Bbn1 = BN - numBb * Bbn;
454: } else numBb = 0;
456: if (numBb) {
457: PetscCall(PetscInfo(C, "use Bb, BN=%" PetscInt_FMT ", Bbn=%" PetscInt_FMT "; numBb=%" PetscInt_FMT "\n", BN, Bbn, numBb));
458: if (Bbn1) { /* Create workB1 for the remaining columns */
459: PetscCall(PetscInfo(C, "use Bb1, BN=%" PetscInt_FMT ", Bbn1=%" PetscInt_FMT "\n", BN, Bbn1));
460: /* Create work matrix used to store off processor rows of B needed for local product */
461: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, nz, Bbn1, NULL, &contents->workB1));
462: } else contents->workB1 = NULL;
463: }
465: /* Create work matrix used to store off processor rows of B needed for local product */
466: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, nz, Bbn, NULL, &contents->workB));
468: /* Use MPI derived data type to reduce memory required by the send/recv buffers */
469: PetscCall(PetscMalloc4(nsends, &stype, nrecvs, &rtype, nrecvs, &contents->rwaits, nsends, &contents->swaits));
470: contents->stype = stype;
471: contents->nsends = nsends;
473: contents->rtype = rtype;
474: contents->nrecvs = nrecvs;
475: contents->blda = blda;
477: PetscCall(PetscMalloc1(Bm + 1, &disp));
478: for (PetscMPIInt i = 0; i < nsends; i++) {
479: PetscCall(PetscMPIIntCast(sstarts[i + 1] - sstarts[i], &nrows_to));
480: for (PetscInt j = 0; j < nrows_to; j++) PetscCall(PetscMPIIntCast(sindices[sstarts[i] + j], &disp[j])); /* rowB to be sent */
481: PetscCallMPI(MPI_Type_create_indexed_block(nrows_to, 1, disp, MPIU_SCALAR, &type1));
482: PetscCallMPI(MPI_Type_create_resized(type1, 0, blda * sizeof(PetscScalar), &stype[i]));
483: PetscCallMPI(MPI_Type_commit(&stype[i]));
484: PetscCallMPI(MPI_Type_free(&type1));
485: }
487: for (PetscMPIInt i = 0; i < nrecvs; i++) {
488: /* received values from a process form a (nrows_from x Bbn) row block in workB (column-wise) */
489: PetscCall(PetscMPIIntCast(rstarts[i + 1] - rstarts[i], &nrows_from));
490: disp[0] = 0;
491: PetscCallMPI(MPI_Type_create_indexed_block(1, nrows_from, disp, MPIU_SCALAR, &type1));
492: PetscCallMPI(MPI_Type_create_resized(type1, 0, nz * sizeof(PetscScalar), &rtype[i]));
493: PetscCallMPI(MPI_Type_commit(&rtype[i]));
494: PetscCallMPI(MPI_Type_free(&type1));
495: }
497: PetscCall(PetscFree(disp));
498: PetscCall(VecScatterRestoreRemote_Private(ctx, PETSC_TRUE /*send*/, &nsends, &sstarts, &sindices, NULL, NULL));
499: PetscCall(VecScatterRestoreRemoteOrdered_Private(ctx, PETSC_FALSE /*recv*/, &nrecvs, &rstarts, NULL, NULL, NULL));
500: PetscCall(MatSetOption(C, MAT_NO_OFF_PROC_ENTRIES, PETSC_TRUE));
501: PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
502: PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
504: C->product->data = contents;
505: C->product->destroy = MatMPIAIJ_MPIDenseDestroy;
506: C->ops->matmultnumeric = MatMatMultNumeric_MPIAIJ_MPIDense;
507: PetscFunctionReturn(PETSC_SUCCESS);
508: }
510: PETSC_INTERN PetscErrorCode MatMatMultNumericAdd_SeqAIJ_SeqDense(Mat, Mat, Mat, const PetscBool);
512: /*
513: Performs an efficient scatter on the rows of B needed by this process; this is
514: a modification of the VecScatterBegin_() routines.
516: Input: If Bbidx = 0, uses B = Bb, else B = Bb1, see MatMatMultSymbolic_MPIAIJ_MPIDense()
517: */
519: static PetscErrorCode MatMPIDenseScatter(Mat A, Mat B, PetscInt Bbidx, Mat C, Mat *outworkB)
520: {
521: Mat_MPIAIJ *aij = (Mat_MPIAIJ *)A->data;
522: const PetscScalar *b;
523: PetscScalar *rvalues;
524: VecScatter ctx = aij->Mvctx;
525: const PetscInt *sindices, *sstarts, *rstarts;
526: const PetscMPIInt *sprocs, *rprocs;
527: PetscMPIInt nsends, nrecvs;
528: MPI_Request *swaits, *rwaits;
529: MPI_Comm comm;
530: PetscMPIInt tag = ((PetscObject)ctx)->tag, ncols, nrows, nsends_mpi, nrecvs_mpi;
531: MPIAIJ_MPIDense *contents;
532: Mat workB;
533: MPI_Datatype *stype, *rtype;
534: PetscInt blda;
536: PetscFunctionBegin;
537: MatCheckProduct(C, 4);
538: PetscCheck(C->product->data, PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "Product data empty");
539: PetscCall(PetscMPIIntCast(B->cmap->N, &ncols));
540: PetscCall(PetscMPIIntCast(aij->B->cmap->n, &nrows));
541: contents = (MPIAIJ_MPIDense *)C->product->data;
542: PetscCall(VecScatterGetRemote_Private(ctx, PETSC_TRUE /*send*/, &nsends, &sstarts, &sindices, &sprocs, NULL /*bs*/));
543: PetscCall(VecScatterGetRemoteOrdered_Private(ctx, PETSC_FALSE /*recv*/, &nrecvs, &rstarts, NULL, &rprocs, NULL /*bs*/));
544: PetscCall(PetscMPIIntCast(nsends, &nsends_mpi));
545: PetscCall(PetscMPIIntCast(nrecvs, &nrecvs_mpi));
546: if (Bbidx == 0) workB = *outworkB = contents->workB;
547: else workB = *outworkB = contents->workB1;
548: PetscCheck(nrows == workB->rmap->n, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Number of rows of workB %" PetscInt_FMT " not equal to columns of aij->B %d", workB->cmap->n, nrows);
549: swaits = contents->swaits;
550: rwaits = contents->rwaits;
552: PetscCall(MatDenseGetArrayRead(B, &b));
553: PetscCall(MatDenseGetLDA(B, &blda));
554: PetscCheck(blda == contents->blda, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cannot reuse an input matrix with lda %" PetscInt_FMT " != %" PetscInt_FMT, blda, contents->blda);
555: PetscCall(MatDenseGetArray(workB, &rvalues));
557: /* Post recv, use MPI derived data type to save memory */
558: PetscCall(PetscObjectGetComm((PetscObject)C, &comm));
559: rtype = contents->rtype;
560: for (PetscMPIInt i = 0; i < nrecvs; i++) PetscCallMPI(MPIU_Irecv(rvalues + (rstarts[i] - rstarts[0]), ncols, rtype[i], rprocs[i], tag, comm, rwaits + i));
562: stype = contents->stype;
563: for (PetscMPIInt i = 0; i < nsends; i++) PetscCallMPI(MPIU_Isend(b, ncols, stype[i], sprocs[i], tag, comm, swaits + i));
565: if (nrecvs) PetscCallMPI(MPI_Waitall(nrecvs_mpi, rwaits, MPI_STATUSES_IGNORE));
566: if (nsends) PetscCallMPI(MPI_Waitall(nsends_mpi, swaits, MPI_STATUSES_IGNORE));
568: PetscCall(VecScatterRestoreRemote_Private(ctx, PETSC_TRUE /*send*/, &nsends, &sstarts, &sindices, &sprocs, NULL));
569: PetscCall(VecScatterRestoreRemoteOrdered_Private(ctx, PETSC_FALSE /*recv*/, &nrecvs, &rstarts, NULL, &rprocs, NULL));
570: PetscCall(MatDenseRestoreArrayRead(B, &b));
571: PetscCall(MatDenseRestoreArray(workB, &rvalues));
572: PetscFunctionReturn(PETSC_SUCCESS);
573: }
575: static PetscErrorCode MatMatMultNumeric_MPIAIJ_MPIDense(Mat A, Mat B, Mat C)
576: {
577: Mat_MPIAIJ *aij = (Mat_MPIAIJ *)A->data;
578: Mat_MPIDense *bdense = (Mat_MPIDense *)B->data;
579: Mat_MPIDense *cdense = (Mat_MPIDense *)C->data;
580: Mat workB;
581: MPIAIJ_MPIDense *contents;
583: PetscFunctionBegin;
584: MatCheckProduct(C, 3);
585: PetscCheck(C->product->data, PetscObjectComm((PetscObject)C), PETSC_ERR_PLIB, "Product data empty");
586: contents = (MPIAIJ_MPIDense *)C->product->data;
587: /* diagonal block of A times all local rows of B */
588: /* TODO: this calls a symbolic multiplication every time, which could be avoided */
589: PetscCall(MatMatMult(aij->A, bdense->A, MAT_REUSE_MATRIX, PETSC_CURRENT, &cdense->A));
590: if (contents->workB->cmap->n == B->cmap->N) {
591: /* get off processor parts of B needed to complete C=A*B */
592: PetscCall(MatMPIDenseScatter(A, B, 0, C, &workB));
594: /* off-diagonal block of A times nonlocal rows of B */
595: PetscCall(MatMatMultNumericAdd_SeqAIJ_SeqDense(aij->B, workB, cdense->A, PETSC_TRUE));
596: } else {
597: Mat Bb, Cb;
598: PetscInt BN = B->cmap->N, n = contents->workB->cmap->n;
599: PetscBool ccpu;
601: PetscCheck(n > 0, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Column block size %" PetscInt_FMT " must be positive", n);
602: /* Prevent from unneeded copies back and forth from the GPU
603: when getting and restoring the submatrix
604: We need a proper GPU code for AIJ * dense in parallel */
605: PetscCall(MatBoundToCPU(C, &ccpu));
606: PetscCall(MatBindToCPU(C, PETSC_TRUE));
607: for (PetscInt i = 0; i < BN; i += n) {
608: PetscCall(MatDenseGetSubMatrix(B, PETSC_DECIDE, PETSC_DECIDE, i, PetscMin(i + n, BN), &Bb));
609: PetscCall(MatDenseGetSubMatrix(C, PETSC_DECIDE, PETSC_DECIDE, i, PetscMin(i + n, BN), &Cb));
611: /* get off processor parts of B needed to complete C=A*B */
612: PetscCall(MatMPIDenseScatter(A, Bb, (i + n) > BN, C, &workB));
614: /* off-diagonal block of A times nonlocal rows of B */
615: cdense = (Mat_MPIDense *)Cb->data;
616: PetscCall(MatMatMultNumericAdd_SeqAIJ_SeqDense(aij->B, workB, cdense->A, PETSC_TRUE));
617: PetscCall(MatDenseRestoreSubMatrix(B, &Bb));
618: PetscCall(MatDenseRestoreSubMatrix(C, &Cb));
619: }
620: PetscCall(MatBindToCPU(C, ccpu));
621: }
622: PetscFunctionReturn(PETSC_SUCCESS);
623: }
625: PetscErrorCode MatMatMultNumeric_MPIAIJ_MPIAIJ(Mat A, Mat P, Mat C)
626: {
627: Mat_MPIAIJ *a = (Mat_MPIAIJ *)A->data, *c = (Mat_MPIAIJ *)C->data;
628: Mat_SeqAIJ *ad = (Mat_SeqAIJ *)a->A->data, *ao = (Mat_SeqAIJ *)a->B->data;
629: Mat_SeqAIJ *cd = (Mat_SeqAIJ *)c->A->data, *co = (Mat_SeqAIJ *)c->B->data;
630: PetscInt *adi = ad->i, *adj, *aoi = ao->i, *aoj;
631: PetscScalar *ada, *aoa, *cda = cd->a, *coa = co->a;
632: Mat_SeqAIJ *p_loc, *p_oth;
633: PetscInt *pi_loc, *pj_loc, *pi_oth, *pj_oth, *pj;
634: PetscScalar *pa_loc, *pa_oth, *pa, valtmp, *ca;
635: PetscInt cm = C->rmap->n, anz, pnz;
636: Mat_APMPI *ptap;
637: PetscScalar *apa_sparse;
638: const PetscScalar *dummy;
639: PetscInt *api, *apj, *apJ, i, j, k, row;
640: PetscInt cstart = C->cmap->rstart;
641: PetscInt cdnz, conz, k0, k1, nextp;
642: MPI_Comm comm;
643: PetscMPIInt size;
645: PetscFunctionBegin;
646: MatCheckProduct(C, 3);
647: ptap = (Mat_APMPI *)C->product->data;
648: PetscCheck(ptap, PetscObjectComm((PetscObject)C), PETSC_ERR_ARG_WRONGSTATE, "PtAP cannot be computed. Missing data");
649: PetscCall(PetscObjectGetComm((PetscObject)C, &comm));
650: PetscCallMPI(MPI_Comm_size(comm, &size));
651: PetscCheck(ptap->P_oth || size <= 1, PetscObjectComm((PetscObject)C), PETSC_ERR_ARG_WRONGSTATE, "AP cannot be reused. Do not call MatProductClear()");
653: /* flag CPU mask for C */
654: #if defined(PETSC_HAVE_DEVICE)
655: if (C->offloadmask != PETSC_OFFLOAD_UNALLOCATED) C->offloadmask = PETSC_OFFLOAD_CPU;
656: if (c->A->offloadmask != PETSC_OFFLOAD_UNALLOCATED) c->A->offloadmask = PETSC_OFFLOAD_CPU;
657: if (c->B->offloadmask != PETSC_OFFLOAD_UNALLOCATED) c->B->offloadmask = PETSC_OFFLOAD_CPU;
658: #endif
659: apa_sparse = ptap->apa;
661: /* 1) get P_oth = ptap->P_oth and P_loc = ptap->P_loc */
662: /* update numerical values of P_oth and P_loc */
663: PetscCall(MatGetBrowsOfAoCols_MPIAIJ(A, P, MAT_REUSE_MATRIX, &ptap->startsj_s, &ptap->startsj_r, &ptap->bufa, &ptap->P_oth));
664: PetscCall(MatMPIAIJGetLocalMat(P, MAT_REUSE_MATRIX, &ptap->P_loc));
666: /* 2) compute numeric C_loc = A_loc*P = Ad*P_loc + Ao*P_oth */
667: /* get data from symbolic products */
668: p_loc = (Mat_SeqAIJ *)ptap->P_loc->data;
669: pi_loc = p_loc->i;
670: pj_loc = p_loc->j;
671: pa_loc = p_loc->a;
672: if (size > 1) {
673: p_oth = (Mat_SeqAIJ *)ptap->P_oth->data;
674: pi_oth = p_oth->i;
675: pj_oth = p_oth->j;
676: pa_oth = p_oth->a;
677: } else {
678: p_oth = NULL;
679: pi_oth = NULL;
680: pj_oth = NULL;
681: pa_oth = NULL;
682: }
684: /* trigger copy to CPU */
685: PetscCall(MatSeqAIJGetArrayRead(a->A, &dummy));
686: PetscCall(MatSeqAIJRestoreArrayRead(a->A, &dummy));
687: PetscCall(MatSeqAIJGetArrayRead(a->B, &dummy));
688: PetscCall(MatSeqAIJRestoreArrayRead(a->B, &dummy));
689: api = ptap->api;
690: apj = ptap->apj;
691: for (i = 0; i < cm; i++) {
692: apJ = apj + api[i];
694: /* diagonal portion of A */
695: anz = adi[i + 1] - adi[i];
696: adj = ad->j + adi[i];
697: ada = ad->a + adi[i];
698: for (j = 0; j < anz; j++) {
699: row = adj[j];
700: pnz = pi_loc[row + 1] - pi_loc[row];
701: pj = pj_loc + pi_loc[row];
702: pa = pa_loc + pi_loc[row];
703: /* perform sparse axpy */
704: valtmp = ada[j];
705: nextp = 0;
706: for (k = 0; nextp < pnz; k++) {
707: if (apJ[k] == pj[nextp]) { /* column of AP == column of P */
708: apa_sparse[k] += valtmp * pa[nextp++];
709: }
710: }
711: PetscCall(PetscLogFlops(2.0 * pnz));
712: }
714: /* off-diagonal portion of A */
715: anz = aoi[i + 1] - aoi[i];
716: aoj = PetscSafePointerPlusOffset(ao->j, aoi[i]);
717: aoa = PetscSafePointerPlusOffset(ao->a, aoi[i]);
718: for (j = 0; j < anz; j++) {
719: row = aoj[j];
720: pnz = pi_oth[row + 1] - pi_oth[row];
721: pj = pj_oth + pi_oth[row];
722: pa = pa_oth + pi_oth[row];
723: /* perform sparse axpy */
724: valtmp = aoa[j];
725: nextp = 0;
726: for (k = 0; nextp < pnz; k++) {
727: if (apJ[k] == pj[nextp]) { /* column of AP == column of P */
728: apa_sparse[k] += valtmp * pa[nextp++];
729: }
730: }
731: PetscCall(PetscLogFlops(2.0 * pnz));
732: }
734: /* set values in C */
735: cdnz = cd->i[i + 1] - cd->i[i];
736: conz = co->i[i + 1] - co->i[i];
738: /* 1st off-diagonal part of C */
739: ca = PetscSafePointerPlusOffset(coa, co->i[i]);
740: k = 0;
741: for (k0 = 0; k0 < conz; k0++) {
742: if (apJ[k] >= cstart) break;
743: ca[k0] = apa_sparse[k];
744: apa_sparse[k] = 0.0;
745: k++;
746: }
748: /* diagonal part of C */
749: ca = cda + cd->i[i];
750: for (k1 = 0; k1 < cdnz; k1++) {
751: ca[k1] = apa_sparse[k];
752: apa_sparse[k] = 0.0;
753: k++;
754: }
756: /* 2nd off-diagonal part of C */
757: ca = PetscSafePointerPlusOffset(coa, co->i[i]);
758: for (; k0 < conz; k0++) {
759: ca[k0] = apa_sparse[k];
760: apa_sparse[k] = 0.0;
761: k++;
762: }
763: }
764: PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
765: PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
766: PetscFunctionReturn(PETSC_SUCCESS);
767: }
769: /* same as MatMatMultSymbolic_MPIAIJ_MPIAIJ_nonscalable(), except using LLCondensed to avoid O(BN) memory requirement */
770: PetscErrorCode MatMatMultSymbolic_MPIAIJ_MPIAIJ(Mat A, Mat P, PetscReal fill, Mat C)
771: {
772: MPI_Comm comm;
773: PetscMPIInt size;
774: Mat_APMPI *ptap;
775: PetscFreeSpaceList free_space = NULL, current_space = NULL;
776: Mat_MPIAIJ *a = (Mat_MPIAIJ *)A->data;
777: Mat_SeqAIJ *ad = (Mat_SeqAIJ *)a->A->data, *ao = (Mat_SeqAIJ *)a->B->data, *p_loc, *p_oth;
778: PetscInt *pi_loc, *pj_loc, *pi_oth, *pj_oth, *dnz, *onz;
779: PetscInt *adi = ad->i, *adj = ad->j, *aoi = ao->i, *aoj = ao->j, rstart = A->rmap->rstart;
780: PetscInt i, pnz, row, *api, *apj, *Jptr, apnz, nspacedouble = 0, j, nzi, *lnk, apnz_max = 1;
781: PetscInt am = A->rmap->n, pn = P->cmap->n, pm = P->rmap->n, lsize = pn + 20;
782: PetscReal afill;
783: MatType mtype;
785: PetscFunctionBegin;
786: MatCheckProduct(C, 4);
787: PetscCheck(!C->product->data, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Extra product struct not empty");
788: PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
789: PetscCallMPI(MPI_Comm_size(comm, &size));
791: /* create struct Mat_APMPI and attached it to C later */
792: PetscCall(PetscNew(&ptap));
794: /* get P_oth by taking rows of P (= non-zero cols of local A) from other processors */
795: PetscCall(MatGetBrowsOfAoCols_MPIAIJ(A, P, MAT_INITIAL_MATRIX, &ptap->startsj_s, &ptap->startsj_r, &ptap->bufa, &ptap->P_oth));
797: /* get P_loc by taking all local rows of P */
798: PetscCall(MatMPIAIJGetLocalMat(P, MAT_INITIAL_MATRIX, &ptap->P_loc));
800: p_loc = (Mat_SeqAIJ *)ptap->P_loc->data;
801: pi_loc = p_loc->i;
802: pj_loc = p_loc->j;
803: if (size > 1) {
804: p_oth = (Mat_SeqAIJ *)ptap->P_oth->data;
805: pi_oth = p_oth->i;
806: pj_oth = p_oth->j;
807: } else {
808: p_oth = NULL;
809: pi_oth = NULL;
810: pj_oth = NULL;
811: }
813: /* first, compute symbolic AP = A_loc*P = A_diag*P_loc + A_off*P_oth */
814: PetscCall(PetscMalloc1(am + 2, &api));
815: ptap->api = api;
816: api[0] = 0;
818: PetscCall(PetscLLCondensedCreate_Scalable(lsize, &lnk));
820: /* Initial FreeSpace size is fill*(nnz(A)+nnz(P)) */
821: PetscCall(PetscFreeSpaceGet(PetscRealIntMultTruncate(fill, PetscIntSumTruncate(adi[am], PetscIntSumTruncate(aoi[am], pi_loc[pm]))), &free_space));
822: current_space = free_space;
823: MatPreallocateBegin(comm, am, pn, dnz, onz);
824: for (i = 0; i < am; i++) {
825: /* diagonal portion of A */
826: nzi = adi[i + 1] - adi[i];
827: for (j = 0; j < nzi; j++) {
828: row = *adj++;
829: pnz = pi_loc[row + 1] - pi_loc[row];
830: Jptr = pj_loc + pi_loc[row];
831: /* Expand list if it is not long enough */
832: if (pnz + apnz_max > lsize) {
833: lsize = pnz + apnz_max;
834: PetscCall(PetscLLCondensedExpand_Scalable(lsize, &lnk));
835: }
836: /* add non-zero cols of P into the sorted linked list lnk */
837: PetscCall(PetscLLCondensedAddSorted_Scalable(pnz, Jptr, lnk));
838: apnz = *lnk; /* The first element in the list is the number of items in the list */
839: api[i + 1] = api[i] + apnz;
840: if (apnz > apnz_max) apnz_max = apnz + 1; /* '1' for diagonal entry */
841: }
842: /* off-diagonal portion of A */
843: nzi = aoi[i + 1] - aoi[i];
844: for (j = 0; j < nzi; j++) {
845: row = *aoj++;
846: pnz = pi_oth[row + 1] - pi_oth[row];
847: Jptr = pj_oth + pi_oth[row];
848: /* Expand list if it is not long enough */
849: if (pnz + apnz_max > lsize) {
850: lsize = pnz + apnz_max;
851: PetscCall(PetscLLCondensedExpand_Scalable(lsize, &lnk));
852: }
853: /* add non-zero cols of P into the sorted linked list lnk */
854: PetscCall(PetscLLCondensedAddSorted_Scalable(pnz, Jptr, lnk));
855: apnz = *lnk; /* The first element in the list is the number of items in the list */
856: api[i + 1] = api[i] + apnz;
857: if (apnz > apnz_max) apnz_max = apnz + 1; /* '1' for diagonal entry */
858: }
860: /* add missing diagonal entry */
861: if (C->force_diagonals) {
862: j = i + rstart; /* column index */
863: PetscCall(PetscLLCondensedAddSorted_Scalable(1, &j, lnk));
864: }
866: apnz = *lnk;
867: api[i + 1] = api[i] + apnz;
868: if (apnz > apnz_max) apnz_max = apnz;
870: /* if free space is not available, double the total space in the list */
871: if (current_space->local_remaining < apnz) {
872: PetscCall(PetscFreeSpaceGet(PetscIntSumTruncate(apnz, current_space->total_array_size), ¤t_space));
873: nspacedouble++;
874: }
876: /* Copy data into free space, then initialize lnk */
877: PetscCall(PetscLLCondensedClean_Scalable(apnz, current_space->array, lnk));
878: PetscCall(MatPreallocateSet(i + rstart, apnz, current_space->array, dnz, onz));
880: current_space->array += apnz;
881: current_space->local_used += apnz;
882: current_space->local_remaining -= apnz;
883: }
885: /* Allocate space for apj, initialize apj, and */
886: /* destroy list of free space and other temporary array(s) */
887: PetscCall(PetscMalloc1(api[am] + 1, &ptap->apj));
888: apj = ptap->apj;
889: PetscCall(PetscFreeSpaceContiguous(&free_space, ptap->apj));
890: PetscCall(PetscLLCondensedDestroy_Scalable(lnk));
892: /* create and assemble symbolic parallel matrix C */
893: PetscCall(MatSetSizes(C, am, pn, PETSC_DETERMINE, PETSC_DETERMINE));
894: PetscCall(MatSetBlockSizesFromMats(C, A, P));
895: PetscCall(MatGetType(A, &mtype));
896: PetscCall(MatSetType(C, mtype));
897: PetscCall(MatMPIAIJSetPreallocation(C, 0, dnz, 0, onz));
898: MatPreallocateEnd(dnz, onz);
900: /* malloc apa for assembly C */
901: PetscCall(PetscCalloc1(apnz_max, &ptap->apa));
903: PetscCall(MatSetValues_MPIAIJ_CopyFromCSRFormat_Symbolic(C, apj, api));
904: PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
905: PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
906: PetscCall(MatSetOption(C, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
908: C->ops->matmultnumeric = MatMatMultNumeric_MPIAIJ_MPIAIJ;
909: C->ops->productnumeric = MatProductNumeric_AB;
911: /* attach the supporting struct to C for reuse */
912: C->product->data = ptap;
913: C->product->destroy = MatDestroy_MPIAIJ_MatMatMult;
915: /* set MatInfo */
916: afill = (PetscReal)api[am] / (adi[am] + aoi[am] + pi_loc[pm] + 1) + 1.e-5;
917: if (afill < 1.0) afill = 1.0;
918: C->info.mallocs = nspacedouble;
919: C->info.fill_ratio_given = fill;
920: C->info.fill_ratio_needed = afill;
922: #if defined(PETSC_USE_INFO)
923: if (api[am]) {
924: PetscCall(PetscInfo(C, "Reallocs %" PetscInt_FMT "; Fill ratio: given %g needed %g.\n", nspacedouble, (double)fill, (double)afill));
925: PetscCall(PetscInfo(C, "Use MatMatMult(A,B,MatReuse,%g,&C) for best performance.;\n", (double)afill));
926: } else {
927: PetscCall(PetscInfo(C, "Empty matrix product\n"));
928: }
929: #endif
930: PetscFunctionReturn(PETSC_SUCCESS);
931: }
933: /* This function is needed for the seqMPI matrix-matrix multiplication. */
934: /* Three input arrays are merged to one output array. The size of the */
935: /* output array is also output. Duplicate entries only show up once. */
936: static void Merge3SortedArrays(PetscInt size1, PetscInt *in1, PetscInt size2, PetscInt *in2, PetscInt size3, PetscInt *in3, PetscInt *size4, PetscInt *out)
937: {
938: int i = 0, j = 0, k = 0, l = 0;
940: /* Traverse all three arrays */
941: while (i < size1 && j < size2 && k < size3) {
942: if (in1[i] < in2[j] && in1[i] < in3[k]) {
943: out[l++] = in1[i++];
944: } else if (in2[j] < in1[i] && in2[j] < in3[k]) {
945: out[l++] = in2[j++];
946: } else if (in3[k] < in1[i] && in3[k] < in2[j]) {
947: out[l++] = in3[k++];
948: } else if (in1[i] == in2[j] && in1[i] < in3[k]) {
949: out[l++] = in1[i];
950: i++, j++;
951: } else if (in1[i] == in3[k] && in1[i] < in2[j]) {
952: out[l++] = in1[i];
953: i++, k++;
954: } else if (in3[k] == in2[j] && in2[j] < in1[i]) {
955: out[l++] = in2[j];
956: k++, j++;
957: } else if (in1[i] == in2[j] && in1[i] == in3[k]) {
958: out[l++] = in1[i];
959: i++, j++, k++;
960: }
961: }
963: /* Traverse two remaining arrays */
964: while (i < size1 && j < size2) {
965: if (in1[i] < in2[j]) {
966: out[l++] = in1[i++];
967: } else if (in1[i] > in2[j]) {
968: out[l++] = in2[j++];
969: } else {
970: out[l++] = in1[i];
971: i++, j++;
972: }
973: }
975: while (i < size1 && k < size3) {
976: if (in1[i] < in3[k]) {
977: out[l++] = in1[i++];
978: } else if (in1[i] > in3[k]) {
979: out[l++] = in3[k++];
980: } else {
981: out[l++] = in1[i];
982: i++, k++;
983: }
984: }
986: while (k < size3 && j < size2) {
987: if (in3[k] < in2[j]) {
988: out[l++] = in3[k++];
989: } else if (in3[k] > in2[j]) {
990: out[l++] = in2[j++];
991: } else {
992: out[l++] = in3[k];
993: k++, j++;
994: }
995: }
997: /* Traverse one remaining array */
998: while (i < size1) out[l++] = in1[i++];
999: while (j < size2) out[l++] = in2[j++];
1000: while (k < size3) out[l++] = in3[k++];
1002: *size4 = l;
1003: }
1005: /* This matrix-matrix multiplication algorithm divides the multiplication into three multiplications and */
1006: /* adds up the products. Two of these three multiplications are performed with existing (sequential) */
1007: /* matrix-matrix multiplications. */
1008: PetscErrorCode MatMatMultSymbolic_MPIAIJ_MPIAIJ_seqMPI(Mat A, Mat P, PetscReal fill, Mat C)
1009: {
1010: MPI_Comm comm;
1011: PetscMPIInt size;
1012: Mat_APMPI *ptap;
1013: PetscFreeSpaceList free_space_diag = NULL, current_space = NULL;
1014: Mat_MPIAIJ *a = (Mat_MPIAIJ *)A->data;
1015: Mat_SeqAIJ *ad = (Mat_SeqAIJ *)a->A->data, *ao = (Mat_SeqAIJ *)a->B->data, *p_loc;
1016: Mat_MPIAIJ *p = (Mat_MPIAIJ *)P->data;
1017: Mat_SeqAIJ *adpd_seq, *p_off, *aopoth_seq;
1018: PetscInt adponz, adpdnz;
1019: PetscInt *pi_loc, *dnz, *onz;
1020: PetscInt *adi = ad->i, *adj = ad->j, *aoi = ao->i, rstart = A->rmap->rstart;
1021: PetscInt *lnk, i, i1 = 0, pnz, row, *adpoi, *adpoj, *api, *adpoJ, *aopJ, *apJ, *Jptr, aopnz, nspacedouble = 0, j, nzi, *apj, apnz, *adpdi, *adpdj, *adpdJ, *poff_i, *poff_j, *j_temp, *aopothi, *aopothj;
1022: PetscInt am = A->rmap->n, pN = P->cmap->N, pn = P->cmap->n, pm = P->rmap->n, p_colstart, p_colend;
1023: PetscBT lnkbt;
1024: PetscReal afill;
1025: PetscMPIInt rank;
1026: Mat adpd, aopoth;
1027: MatType mtype;
1028: const char *prefix;
1030: PetscFunctionBegin;
1031: MatCheckProduct(C, 4);
1032: PetscCheck(!C->product->data, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Extra product struct not empty");
1033: PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
1034: PetscCallMPI(MPI_Comm_size(comm, &size));
1035: PetscCallMPI(MPI_Comm_rank(comm, &rank));
1036: PetscCall(MatGetOwnershipRangeColumn(P, &p_colstart, &p_colend));
1038: /* create struct Mat_APMPI and attached it to C later */
1039: PetscCall(PetscNew(&ptap));
1041: /* get P_oth by taking rows of P (= non-zero cols of local A) from other processors */
1042: PetscCall(MatGetBrowsOfAoCols_MPIAIJ(A, P, MAT_INITIAL_MATRIX, &ptap->startsj_s, &ptap->startsj_r, &ptap->bufa, &ptap->P_oth));
1044: /* get P_loc by taking all local rows of P */
1045: PetscCall(MatMPIAIJGetLocalMat(P, MAT_INITIAL_MATRIX, &ptap->P_loc));
1047: p_loc = (Mat_SeqAIJ *)ptap->P_loc->data;
1048: pi_loc = p_loc->i;
1050: /* Allocate memory for the i arrays of the matrices A*P, A_diag*P_off and A_offd * P */
1051: PetscCall(PetscMalloc1(am + 2, &api));
1052: PetscCall(PetscMalloc1(am + 2, &adpoi));
1054: adpoi[0] = 0;
1055: ptap->api = api;
1056: api[0] = 0;
1058: /* create and initialize a linked list, will be used for both A_diag * P_loc_off and A_offd * P_oth */
1059: PetscCall(PetscLLCondensedCreate(pN, pN, &lnk, &lnkbt));
1060: MatPreallocateBegin(comm, am, pn, dnz, onz);
1062: /* Symbolic calc of A_loc_diag * P_loc_diag */
1063: PetscCall(MatGetOptionsPrefix(A, &prefix));
1064: PetscCall(MatProductCreate(a->A, p->A, NULL, &adpd));
1065: PetscCall(MatGetOptionsPrefix(A, &prefix));
1066: PetscCall(MatSetOptionsPrefix(adpd, prefix));
1067: PetscCall(MatAppendOptionsPrefix(adpd, "inner_diag_"));
1069: PetscCall(MatProductSetType(adpd, MATPRODUCT_AB));
1070: PetscCall(MatProductSetAlgorithm(adpd, "sorted"));
1071: PetscCall(MatProductSetFill(adpd, fill));
1072: PetscCall(MatProductSetFromOptions(adpd));
1074: adpd->force_diagonals = C->force_diagonals;
1075: PetscCall(MatProductSymbolic(adpd));
1077: adpd_seq = (Mat_SeqAIJ *)((adpd)->data);
1078: adpdi = adpd_seq->i;
1079: adpdj = adpd_seq->j;
1080: p_off = (Mat_SeqAIJ *)p->B->data;
1081: poff_i = p_off->i;
1082: poff_j = p_off->j;
1084: /* j_temp stores indices of a result row before they are added to the linked list */
1085: PetscCall(PetscMalloc1(pN + 2, &j_temp));
1087: /* Symbolic calc of the A_diag * p_loc_off */
1088: /* Initial FreeSpace size is fill*(nnz(A)+nnz(P)) */
1089: PetscCall(PetscFreeSpaceGet(PetscRealIntMultTruncate(fill, PetscIntSumTruncate(adi[am], PetscIntSumTruncate(aoi[am], pi_loc[pm]))), &free_space_diag));
1090: current_space = free_space_diag;
1092: for (i = 0; i < am; i++) {
1093: /* A_diag * P_loc_off */
1094: nzi = adi[i + 1] - adi[i];
1095: for (j = 0; j < nzi; j++) {
1096: row = *adj++;
1097: pnz = poff_i[row + 1] - poff_i[row];
1098: Jptr = poff_j + poff_i[row];
1099: for (i1 = 0; i1 < pnz; i1++) j_temp[i1] = p->garray[Jptr[i1]];
1100: /* add non-zero cols of P into the sorted linked list lnk */
1101: PetscCall(PetscLLCondensedAddSorted(pnz, j_temp, lnk, lnkbt));
1102: }
1104: adponz = lnk[0];
1105: adpoi[i + 1] = adpoi[i] + adponz;
1107: /* if free space is not available, double the total space in the list */
1108: if (current_space->local_remaining < adponz) {
1109: PetscCall(PetscFreeSpaceGet(PetscIntSumTruncate(adponz, current_space->total_array_size), ¤t_space));
1110: nspacedouble++;
1111: }
1113: /* Copy data into free space, then initialize lnk */
1114: PetscCall(PetscLLCondensedClean(pN, adponz, current_space->array, lnk, lnkbt));
1116: current_space->array += adponz;
1117: current_space->local_used += adponz;
1118: current_space->local_remaining -= adponz;
1119: }
1121: /* Symbolic calc of A_off * P_oth */
1122: PetscCall(MatSetOptionsPrefix(a->B, prefix));
1123: PetscCall(MatAppendOptionsPrefix(a->B, "inner_offdiag_"));
1124: PetscCall(MatCreate(PETSC_COMM_SELF, &aopoth));
1125: PetscCall(MatMatMultSymbolic_SeqAIJ_SeqAIJ(a->B, ptap->P_oth, fill, aopoth));
1126: aopoth_seq = (Mat_SeqAIJ *)((aopoth)->data);
1127: aopothi = aopoth_seq->i;
1128: aopothj = aopoth_seq->j;
1130: /* Allocate space for apj, adpj, aopj, ... */
1131: /* destroy lists of free space and other temporary array(s) */
1133: PetscCall(PetscMalloc1(aopothi[am] + adpoi[am] + adpdi[am] + 2, &ptap->apj));
1134: PetscCall(PetscMalloc1(adpoi[am] + 2, &adpoj));
1136: /* Copy from linked list to j-array */
1137: PetscCall(PetscFreeSpaceContiguous(&free_space_diag, adpoj));
1138: PetscCall(PetscLLDestroy(lnk, lnkbt));
1140: adpoJ = adpoj;
1141: adpdJ = adpdj;
1142: aopJ = aopothj;
1143: apj = ptap->apj;
1144: apJ = apj; /* still empty */
1146: /* Merge j-arrays of A_off * P, A_diag * P_loc_off, and */
1147: /* A_diag * P_loc_diag to get A*P */
1148: for (i = 0; i < am; i++) {
1149: aopnz = aopothi[i + 1] - aopothi[i];
1150: adponz = adpoi[i + 1] - adpoi[i];
1151: adpdnz = adpdi[i + 1] - adpdi[i];
1153: /* Correct indices from A_diag*P_diag */
1154: for (i1 = 0; i1 < adpdnz; i1++) adpdJ[i1] += p_colstart;
1155: /* Merge j-arrays of A_diag * P_loc_off and A_diag * P_loc_diag and A_off * P_oth */
1156: Merge3SortedArrays(adponz, adpoJ, adpdnz, adpdJ, aopnz, aopJ, &apnz, apJ);
1157: PetscCall(MatPreallocateSet(i + rstart, apnz, apJ, dnz, onz));
1159: aopJ += aopnz;
1160: adpoJ += adponz;
1161: adpdJ += adpdnz;
1162: apJ += apnz;
1163: api[i + 1] = api[i] + apnz;
1164: }
1166: /* malloc apa to store dense row A[i,:]*P */
1167: PetscCall(PetscCalloc1(pN + 2, &ptap->apa));
1169: /* create and assemble symbolic parallel matrix C */
1170: PetscCall(MatSetSizes(C, am, pn, PETSC_DETERMINE, PETSC_DETERMINE));
1171: PetscCall(MatSetBlockSizesFromMats(C, A, P));
1172: PetscCall(MatGetType(A, &mtype));
1173: PetscCall(MatSetType(C, mtype));
1174: PetscCall(MatMPIAIJSetPreallocation(C, 0, dnz, 0, onz));
1175: MatPreallocateEnd(dnz, onz);
1177: PetscCall(MatSetValues_MPIAIJ_CopyFromCSRFormat_Symbolic(C, apj, api));
1178: PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
1179: PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
1180: PetscCall(MatSetOption(C, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
1182: C->ops->matmultnumeric = MatMatMultNumeric_MPIAIJ_MPIAIJ_nonscalable;
1183: C->ops->productnumeric = MatProductNumeric_AB;
1185: /* attach the supporting struct to C for reuse */
1186: C->product->data = ptap;
1187: C->product->destroy = MatDestroy_MPIAIJ_MatMatMult;
1189: /* set MatInfo */
1190: afill = (PetscReal)api[am] / (adi[am] + aoi[am] + pi_loc[pm] + 1) + 1.e-5;
1191: if (afill < 1.0) afill = 1.0;
1192: C->info.mallocs = nspacedouble;
1193: C->info.fill_ratio_given = fill;
1194: C->info.fill_ratio_needed = afill;
1196: #if defined(PETSC_USE_INFO)
1197: if (api[am]) {
1198: PetscCall(PetscInfo(C, "Reallocs %" PetscInt_FMT "; Fill ratio: given %g needed %g.\n", nspacedouble, (double)fill, (double)afill));
1199: PetscCall(PetscInfo(C, "Use MatMatMult(A,B,MatReuse,%g,&C) for best performance.;\n", (double)afill));
1200: } else {
1201: PetscCall(PetscInfo(C, "Empty matrix product\n"));
1202: }
1203: #endif
1205: PetscCall(MatDestroy(&aopoth));
1206: PetscCall(MatDestroy(&adpd));
1207: PetscCall(PetscFree(j_temp));
1208: PetscCall(PetscFree(adpoj));
1209: PetscCall(PetscFree(adpoi));
1210: PetscFunctionReturn(PETSC_SUCCESS);
1211: }
1213: /* This routine only works when scall=MAT_REUSE_MATRIX! */
1214: PetscErrorCode MatTransposeMatMultNumeric_MPIAIJ_MPIAIJ_matmatmult(Mat P, Mat A, Mat C)
1215: {
1216: Mat_APMPI *ptap;
1217: Mat Pt;
1219: PetscFunctionBegin;
1220: MatCheckProduct(C, 3);
1221: ptap = (Mat_APMPI *)C->product->data;
1222: PetscCheck(ptap, PetscObjectComm((PetscObject)C), PETSC_ERR_ARG_WRONGSTATE, "PtAP cannot be computed. Missing data");
1223: PetscCheck(ptap->Pt, PetscObjectComm((PetscObject)C), PETSC_ERR_ARG_WRONGSTATE, "PtA cannot be reused. Do not call MatProductClear()");
1225: Pt = ptap->Pt;
1226: PetscCall(MatTransposeSetPrecursor(P, Pt));
1227: PetscCall(MatTranspose(P, MAT_REUSE_MATRIX, &Pt));
1228: PetscCall(MatMatMultNumeric_MPIAIJ_MPIAIJ(Pt, A, C));
1229: PetscFunctionReturn(PETSC_SUCCESS);
1230: }
1232: /* This routine is modified from MatPtAPSymbolic_MPIAIJ_MPIAIJ() */
1233: PetscErrorCode MatTransposeMatMultSymbolic_MPIAIJ_MPIAIJ_nonscalable(Mat P, Mat A, PetscReal fill, Mat C)
1234: {
1235: Mat_APMPI *ptap;
1236: Mat_MPIAIJ *p = (Mat_MPIAIJ *)P->data;
1237: MPI_Comm comm;
1238: PetscMPIInt size, rank;
1239: PetscFreeSpaceList free_space = NULL, current_space = NULL;
1240: PetscInt pn = P->cmap->n, aN = A->cmap->N, an = A->cmap->n;
1241: PetscInt *lnk, i, k, rstart;
1242: PetscBT lnkbt;
1243: PetscMPIInt tagi, tagj, *len_si, *len_s, *len_ri, nrecv, proc, nsend;
1244: PETSC_UNUSED PetscMPIInt icompleted = 0;
1245: PetscInt **buf_rj, **buf_ri, **buf_ri_k, row, ncols, *cols;
1246: PetscInt len, *dnz, *onz, *owners, nzi;
1247: PetscInt nrows, *buf_s, *buf_si, *buf_si_i, **nextrow, **nextci;
1248: MPI_Request *swaits, *rwaits;
1249: MPI_Status *sstatus, rstatus;
1250: PetscLayout rowmap;
1251: PetscInt *owners_co, *coi, *coj; /* i and j array of (p->B)^T*A*P - used in the communication */
1252: PetscMPIInt *len_r, *id_r; /* array of length of comm->size, store send/recv matrix values */
1253: PetscInt *Jptr, *prmap = p->garray, con, j, Crmax;
1254: Mat_SeqAIJ *a_loc, *c_loc, *c_oth;
1255: PetscHMapI ta;
1256: MatType mtype;
1257: const char *prefix;
1259: PetscFunctionBegin;
1260: PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
1261: PetscCallMPI(MPI_Comm_size(comm, &size));
1262: PetscCallMPI(MPI_Comm_rank(comm, &rank));
1264: /* create symbolic parallel matrix C */
1265: PetscCall(MatGetType(A, &mtype));
1266: PetscCall(MatSetType(C, mtype));
1268: C->ops->transposematmultnumeric = MatTransposeMatMultNumeric_MPIAIJ_MPIAIJ_nonscalable;
1270: /* create struct Mat_APMPI and attached it to C later */
1271: PetscCall(PetscNew(&ptap));
1273: /* (0) compute Rd = Pd^T, Ro = Po^T */
1274: PetscCall(MatTranspose(p->A, MAT_INITIAL_MATRIX, &ptap->Rd));
1275: PetscCall(MatTranspose(p->B, MAT_INITIAL_MATRIX, &ptap->Ro));
1277: /* (1) compute symbolic A_loc */
1278: PetscCall(MatMPIAIJGetLocalMat(A, MAT_INITIAL_MATRIX, &ptap->A_loc));
1280: /* (2-1) compute symbolic C_oth = Ro*A_loc */
1281: PetscCall(MatGetOptionsPrefix(A, &prefix));
1282: PetscCall(MatSetOptionsPrefix(ptap->Ro, prefix));
1283: PetscCall(MatAppendOptionsPrefix(ptap->Ro, "inner_offdiag_"));
1284: PetscCall(MatCreate(PETSC_COMM_SELF, &ptap->C_oth));
1285: PetscCall(MatMatMultSymbolic_SeqAIJ_SeqAIJ(ptap->Ro, ptap->A_loc, fill, ptap->C_oth));
1287: /* (3) send coj of C_oth to other processors */
1288: /* determine row ownership */
1289: PetscCall(PetscLayoutCreate(comm, &rowmap));
1290: rowmap->n = pn;
1291: rowmap->bs = 1;
1292: PetscCall(PetscLayoutSetUp(rowmap));
1293: owners = rowmap->range;
1295: /* determine the number of messages to send, their lengths */
1296: PetscCall(PetscMalloc4(size, &len_s, size, &len_si, size, &sstatus, size + 2, &owners_co));
1297: PetscCall(PetscArrayzero(len_s, size));
1298: PetscCall(PetscArrayzero(len_si, size));
1300: c_oth = (Mat_SeqAIJ *)ptap->C_oth->data;
1301: coi = c_oth->i;
1302: coj = c_oth->j;
1303: con = ptap->C_oth->rmap->n;
1304: proc = 0;
1305: for (i = 0; i < con; i++) {
1306: while (prmap[i] >= owners[proc + 1]) proc++;
1307: len_si[proc]++; /* num of rows in Co(=Pt*A) to be sent to [proc] */
1308: len_s[proc] += coi[i + 1] - coi[i]; /* num of nonzeros in Co to be sent to [proc] */
1309: }
1311: len = 0; /* max length of buf_si[], see (4) */
1312: owners_co[0] = 0;
1313: nsend = 0;
1314: for (proc = 0; proc < size; proc++) {
1315: owners_co[proc + 1] = owners_co[proc] + len_si[proc];
1316: if (len_s[proc]) {
1317: nsend++;
1318: len_si[proc] = 2 * (len_si[proc] + 1); /* length of buf_si to be sent to [proc] */
1319: len += len_si[proc];
1320: }
1321: }
1323: /* determine the number and length of messages to receive for coi and coj */
1324: PetscCall(PetscGatherNumberOfMessages(comm, NULL, len_s, &nrecv));
1325: PetscCall(PetscGatherMessageLengths2(comm, nsend, nrecv, len_s, len_si, &id_r, &len_r, &len_ri));
1327: /* post the Irecv and Isend of coj */
1328: PetscCall(PetscCommGetNewTag(comm, &tagj));
1329: PetscCall(PetscPostIrecvInt(comm, tagj, nrecv, id_r, len_r, &buf_rj, &rwaits));
1330: PetscCall(PetscMalloc1(nsend + 1, &swaits));
1331: for (proc = 0, k = 0; proc < size; proc++) {
1332: if (!len_s[proc]) continue;
1333: i = owners_co[proc];
1334: PetscCallMPI(MPIU_Isend(coj + coi[i], len_s[proc], MPIU_INT, proc, tagj, comm, swaits + k));
1335: k++;
1336: }
1338: /* (2-2) compute symbolic C_loc = Rd*A_loc */
1339: PetscCall(MatSetOptionsPrefix(ptap->Rd, prefix));
1340: PetscCall(MatAppendOptionsPrefix(ptap->Rd, "inner_diag_"));
1341: PetscCall(MatCreate(PETSC_COMM_SELF, &ptap->C_loc));
1342: PetscCall(MatMatMultSymbolic_SeqAIJ_SeqAIJ(ptap->Rd, ptap->A_loc, fill, ptap->C_loc));
1343: c_loc = (Mat_SeqAIJ *)ptap->C_loc->data;
1345: /* receives coj are complete */
1346: for (i = 0; i < nrecv; i++) PetscCallMPI(MPI_Waitany(nrecv, rwaits, &icompleted, &rstatus));
1347: PetscCall(PetscFree(rwaits));
1348: if (nsend) PetscCallMPI(MPI_Waitall(nsend, swaits, sstatus));
1350: /* add received column indices into ta to update Crmax */
1351: a_loc = (Mat_SeqAIJ *)ptap->A_loc->data;
1353: /* create and initialize a linked list */
1354: PetscCall(PetscHMapICreateWithSize(an, &ta)); /* for compute Crmax */
1355: MatRowMergeMax_SeqAIJ(a_loc, ptap->A_loc->rmap->N, ta);
1357: for (k = 0; k < nrecv; k++) { /* k-th received message */
1358: Jptr = buf_rj[k];
1359: for (j = 0; j < len_r[k]; j++) PetscCall(PetscHMapISet(ta, *(Jptr + j) + 1, 1));
1360: }
1361: PetscCall(PetscHMapIGetSize(ta, &Crmax));
1362: PetscCall(PetscHMapIDestroy(&ta));
1364: /* (4) send and recv coi */
1365: PetscCall(PetscCommGetNewTag(comm, &tagi));
1366: PetscCall(PetscPostIrecvInt(comm, tagi, nrecv, id_r, len_ri, &buf_ri, &rwaits));
1367: PetscCall(PetscMalloc1(len + 1, &buf_s));
1368: buf_si = buf_s; /* points to the beginning of k-th msg to be sent */
1369: for (proc = 0, k = 0; proc < size; proc++) {
1370: if (!len_s[proc]) continue;
1371: /* form outgoing message for i-structure:
1372: buf_si[0]: nrows to be sent
1373: [1:nrows]: row index (global)
1374: [nrows+1:2*nrows+1]: i-structure index
1375: */
1376: nrows = len_si[proc] / 2 - 1; /* num of rows in Co to be sent to [proc] */
1377: buf_si_i = buf_si + nrows + 1;
1378: buf_si[0] = nrows;
1379: buf_si_i[0] = 0;
1380: nrows = 0;
1381: for (i = owners_co[proc]; i < owners_co[proc + 1]; i++) {
1382: nzi = coi[i + 1] - coi[i];
1383: buf_si_i[nrows + 1] = buf_si_i[nrows] + nzi; /* i-structure */
1384: buf_si[nrows + 1] = prmap[i] - owners[proc]; /* local row index */
1385: nrows++;
1386: }
1387: PetscCallMPI(MPIU_Isend(buf_si, len_si[proc], MPIU_INT, proc, tagi, comm, swaits + k));
1388: k++;
1389: buf_si += len_si[proc];
1390: }
1391: for (i = 0; i < nrecv; i++) PetscCallMPI(MPI_Waitany(nrecv, rwaits, &icompleted, &rstatus));
1392: PetscCall(PetscFree(rwaits));
1393: if (nsend) PetscCallMPI(MPI_Waitall(nsend, swaits, sstatus));
1395: PetscCall(PetscFree4(len_s, len_si, sstatus, owners_co));
1396: PetscCall(PetscFree(len_ri));
1397: PetscCall(PetscFree(swaits));
1398: PetscCall(PetscFree(buf_s));
1400: /* (5) compute the local portion of C */
1401: /* set initial free space to be Crmax, sufficient for holding nonzeros in each row of C */
1402: PetscCall(PetscFreeSpaceGet(Crmax, &free_space));
1403: current_space = free_space;
1405: PetscCall(PetscMalloc3(nrecv, &buf_ri_k, nrecv, &nextrow, nrecv, &nextci));
1406: for (k = 0; k < nrecv; k++) {
1407: buf_ri_k[k] = buf_ri[k]; /* beginning of k-th recved i-structure */
1408: nrows = *buf_ri_k[k];
1409: nextrow[k] = buf_ri_k[k] + 1; /* next row number of k-th recved i-structure */
1410: nextci[k] = buf_ri_k[k] + (nrows + 1); /* points to the next i-structure of k-th recved i-structure */
1411: }
1413: MatPreallocateBegin(comm, pn, an, dnz, onz);
1414: PetscCall(PetscLLCondensedCreate(Crmax, aN, &lnk, &lnkbt));
1415: for (i = 0; i < pn; i++) { /* for each local row of C */
1416: /* add C_loc into C */
1417: nzi = c_loc->i[i + 1] - c_loc->i[i];
1418: Jptr = c_loc->j + c_loc->i[i];
1419: PetscCall(PetscLLCondensedAddSorted(nzi, Jptr, lnk, lnkbt));
1421: /* add received col data into lnk */
1422: for (k = 0; k < nrecv; k++) { /* k-th received message */
1423: if (i == *nextrow[k]) { /* i-th row */
1424: nzi = *(nextci[k] + 1) - *nextci[k];
1425: Jptr = buf_rj[k] + *nextci[k];
1426: PetscCall(PetscLLCondensedAddSorted(nzi, Jptr, lnk, lnkbt));
1427: nextrow[k]++;
1428: nextci[k]++;
1429: }
1430: }
1432: /* add missing diagonal entry */
1433: if (C->force_diagonals) {
1434: k = i + owners[rank]; /* column index */
1435: PetscCall(PetscLLCondensedAddSorted(1, &k, lnk, lnkbt));
1436: }
1438: nzi = lnk[0];
1440: /* copy data into free space, then initialize lnk */
1441: PetscCall(PetscLLCondensedClean(aN, nzi, current_space->array, lnk, lnkbt));
1442: PetscCall(MatPreallocateSet(i + owners[rank], nzi, current_space->array, dnz, onz));
1443: }
1444: PetscCall(PetscFree3(buf_ri_k, nextrow, nextci));
1445: PetscCall(PetscLLDestroy(lnk, lnkbt));
1446: PetscCall(PetscFreeSpaceDestroy(free_space));
1448: /* local sizes and preallocation */
1449: PetscCall(MatSetSizes(C, pn, an, PETSC_DETERMINE, PETSC_DETERMINE));
1450: if (P->cmap->bs > 0) PetscCall(PetscLayoutSetBlockSize(C->rmap, P->cmap->bs));
1451: if (A->cmap->bs > 0) PetscCall(PetscLayoutSetBlockSize(C->cmap, A->cmap->bs));
1452: PetscCall(MatMPIAIJSetPreallocation(C, 0, dnz, 0, onz));
1453: MatPreallocateEnd(dnz, onz);
1455: /* add C_loc and C_oth to C */
1456: PetscCall(MatGetOwnershipRange(C, &rstart, NULL));
1457: for (i = 0; i < pn; i++) {
1458: ncols = c_loc->i[i + 1] - c_loc->i[i];
1459: cols = c_loc->j + c_loc->i[i];
1460: row = rstart + i;
1461: PetscCall(MatSetValues(C, 1, (const PetscInt *)&row, ncols, (const PetscInt *)cols, NULL, INSERT_VALUES));
1463: if (C->force_diagonals) PetscCall(MatSetValues(C, 1, (const PetscInt *)&row, 1, (const PetscInt *)&row, NULL, INSERT_VALUES));
1464: }
1465: for (i = 0; i < con; i++) {
1466: ncols = c_oth->i[i + 1] - c_oth->i[i];
1467: cols = c_oth->j + c_oth->i[i];
1468: row = prmap[i];
1469: PetscCall(MatSetValues(C, 1, (const PetscInt *)&row, ncols, (const PetscInt *)cols, NULL, INSERT_VALUES));
1470: }
1471: PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
1472: PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
1473: PetscCall(MatSetOption(C, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
1475: /* members in merge */
1476: PetscCall(PetscFree(id_r));
1477: PetscCall(PetscFree(len_r));
1478: PetscCall(PetscFree(buf_ri[0]));
1479: PetscCall(PetscFree(buf_ri));
1480: PetscCall(PetscFree(buf_rj[0]));
1481: PetscCall(PetscFree(buf_rj));
1482: PetscCall(PetscLayoutDestroy(&rowmap));
1484: /* attach the supporting struct to C for reuse */
1485: C->product->data = ptap;
1486: C->product->destroy = MatDestroy_MPIAIJ_PtAP;
1487: PetscFunctionReturn(PETSC_SUCCESS);
1488: }
1490: PetscErrorCode MatTransposeMatMultNumeric_MPIAIJ_MPIAIJ_nonscalable(Mat P, Mat A, Mat C)
1491: {
1492: Mat_MPIAIJ *p = (Mat_MPIAIJ *)P->data;
1493: Mat_SeqAIJ *c_seq;
1494: Mat_APMPI *ptap;
1495: Mat A_loc, C_loc, C_oth;
1496: PetscInt i, rstart, rend, cm, ncols, row;
1497: const PetscInt *cols;
1498: const PetscScalar *vals;
1500: PetscFunctionBegin;
1501: MatCheckProduct(C, 3);
1502: ptap = (Mat_APMPI *)C->product->data;
1503: PetscCheck(ptap, PetscObjectComm((PetscObject)C), PETSC_ERR_ARG_WRONGSTATE, "PtAP cannot be computed. Missing data");
1504: PetscCheck(ptap->A_loc, PetscObjectComm((PetscObject)C), PETSC_ERR_ARG_WRONGSTATE, "PtA cannot be reused. Do not call MatProductClear()");
1505: PetscCall(MatZeroEntries(C));
1507: /* These matrices are obtained in MatTransposeMatMultSymbolic() */
1508: /* 1) get R = Pd^T, Ro = Po^T */
1509: PetscCall(MatTransposeSetPrecursor(p->A, ptap->Rd));
1510: PetscCall(MatTranspose(p->A, MAT_REUSE_MATRIX, &ptap->Rd));
1511: PetscCall(MatTransposeSetPrecursor(p->B, ptap->Ro));
1512: PetscCall(MatTranspose(p->B, MAT_REUSE_MATRIX, &ptap->Ro));
1514: /* 2) compute numeric A_loc */
1515: PetscCall(MatMPIAIJGetLocalMat(A, MAT_REUSE_MATRIX, &ptap->A_loc));
1517: /* 3) C_loc = Rd*A_loc, C_oth = Ro*A_loc */
1518: A_loc = ptap->A_loc;
1519: PetscCall(ptap->C_loc->ops->matmultnumeric(ptap->Rd, A_loc, ptap->C_loc));
1520: PetscCall(ptap->C_oth->ops->matmultnumeric(ptap->Ro, A_loc, ptap->C_oth));
1521: C_loc = ptap->C_loc;
1522: C_oth = ptap->C_oth;
1524: /* add C_loc and C_oth to C */
1525: PetscCall(MatGetOwnershipRange(C, &rstart, &rend));
1527: /* C_loc -> C */
1528: cm = C_loc->rmap->N;
1529: c_seq = (Mat_SeqAIJ *)C_loc->data;
1530: cols = c_seq->j;
1531: vals = c_seq->a;
1532: for (i = 0; i < cm; i++) {
1533: ncols = c_seq->i[i + 1] - c_seq->i[i];
1534: row = rstart + i;
1535: PetscCall(MatSetValues(C, 1, &row, ncols, cols, vals, ADD_VALUES));
1536: cols += ncols;
1537: vals += ncols;
1538: }
1540: /* Co -> C, off-processor part */
1541: cm = C_oth->rmap->N;
1542: c_seq = (Mat_SeqAIJ *)C_oth->data;
1543: cols = c_seq->j;
1544: vals = c_seq->a;
1545: for (i = 0; i < cm; i++) {
1546: ncols = c_seq->i[i + 1] - c_seq->i[i];
1547: row = p->garray[i];
1548: PetscCall(MatSetValues(C, 1, &row, ncols, cols, vals, ADD_VALUES));
1549: cols += ncols;
1550: vals += ncols;
1551: }
1552: PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
1553: PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
1554: PetscCall(MatSetOption(C, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
1555: PetscFunctionReturn(PETSC_SUCCESS);
1556: }
1558: PetscErrorCode MatTransposeMatMultNumeric_MPIAIJ_MPIAIJ(Mat P, Mat A, Mat C)
1559: {
1560: Mat_Merge_SeqsToMPI *merge;
1561: Mat_MPIAIJ *p = (Mat_MPIAIJ *)P->data;
1562: Mat_SeqAIJ *pd = (Mat_SeqAIJ *)p->A->data, *po = (Mat_SeqAIJ *)p->B->data;
1563: Mat_APMPI *ap;
1564: PetscInt *adj;
1565: PetscInt i, j, k, anz, pnz, row, *cj, nexta;
1566: MatScalar *ada, *ca, valtmp;
1567: PetscInt am = A->rmap->n, cm = C->rmap->n, pon = (p->B)->cmap->n;
1568: MPI_Comm comm;
1569: PetscMPIInt size, rank, taga, *len_s, proc;
1570: PetscInt *owners, nrows, **buf_ri_k, **nextrow, **nextci;
1571: PetscInt **buf_ri, **buf_rj;
1572: PetscInt cnz = 0, *bj_i, *bi, *bj, bnz, nextcj; /* bi,bj,ba: local array of C(mpi mat) */
1573: MPI_Request *s_waits, *r_waits;
1574: MPI_Status *status;
1575: MatScalar **abuf_r, *ba_i, *pA, *coa, *ba;
1576: const PetscScalar *dummy;
1577: PetscInt *ai, *aj, *coi, *coj, *poJ, *pdJ;
1578: Mat A_loc;
1579: Mat_SeqAIJ *a_loc;
1581: PetscFunctionBegin;
1582: MatCheckProduct(C, 3);
1583: ap = (Mat_APMPI *)C->product->data;
1584: PetscCheck(ap, PetscObjectComm((PetscObject)C), PETSC_ERR_ARG_WRONGSTATE, "PtA cannot be computed. Missing data");
1585: PetscCheck(ap->A_loc, PetscObjectComm((PetscObject)C), PETSC_ERR_ARG_WRONGSTATE, "PtA cannot be reused. Do not call MatProductClear()");
1586: PetscCall(PetscObjectGetComm((PetscObject)C, &comm));
1587: PetscCallMPI(MPI_Comm_size(comm, &size));
1588: PetscCallMPI(MPI_Comm_rank(comm, &rank));
1590: merge = ap->merge;
1592: /* 2) compute numeric C_seq = P_loc^T*A_loc */
1593: /* get data from symbolic products */
1594: coi = merge->coi;
1595: coj = merge->coj;
1596: PetscCall(PetscCalloc1(coi[pon] + 1, &coa));
1597: bi = merge->bi;
1598: bj = merge->bj;
1599: owners = merge->rowmap->range;
1600: PetscCall(PetscCalloc1(bi[cm] + 1, &ba));
1602: /* get A_loc by taking all local rows of A */
1603: A_loc = ap->A_loc;
1604: PetscCall(MatMPIAIJGetLocalMat(A, MAT_REUSE_MATRIX, &A_loc));
1605: a_loc = (Mat_SeqAIJ *)A_loc->data;
1606: ai = a_loc->i;
1607: aj = a_loc->j;
1609: /* trigger copy to CPU */
1610: PetscCall(MatSeqAIJGetArrayRead(p->A, &dummy));
1611: PetscCall(MatSeqAIJRestoreArrayRead(p->A, &dummy));
1612: PetscCall(MatSeqAIJGetArrayRead(p->B, &dummy));
1613: PetscCall(MatSeqAIJRestoreArrayRead(p->B, &dummy));
1614: for (i = 0; i < am; i++) {
1615: anz = ai[i + 1] - ai[i];
1616: adj = aj + ai[i];
1617: ada = a_loc->a + ai[i];
1619: /* 2-b) Compute Cseq = P_loc[i,:]^T*A[i,:] using outer product */
1620: /* put the value into Co=(p->B)^T*A (off-diagonal part, send to others) */
1621: pnz = po->i[i + 1] - po->i[i];
1622: poJ = po->j + po->i[i];
1623: pA = po->a + po->i[i];
1624: for (j = 0; j < pnz; j++) {
1625: row = poJ[j];
1626: cj = coj + coi[row];
1627: ca = coa + coi[row];
1628: /* perform sparse axpy */
1629: nexta = 0;
1630: valtmp = pA[j];
1631: for (k = 0; nexta < anz; k++) {
1632: if (cj[k] == adj[nexta]) {
1633: ca[k] += valtmp * ada[nexta];
1634: nexta++;
1635: }
1636: }
1637: PetscCall(PetscLogFlops(2.0 * anz));
1638: }
1640: /* put the value into Cd (diagonal part) */
1641: pnz = pd->i[i + 1] - pd->i[i];
1642: pdJ = pd->j + pd->i[i];
1643: pA = pd->a + pd->i[i];
1644: for (j = 0; j < pnz; j++) {
1645: row = pdJ[j];
1646: cj = bj + bi[row];
1647: ca = ba + bi[row];
1648: /* perform sparse axpy */
1649: nexta = 0;
1650: valtmp = pA[j];
1651: for (k = 0; nexta < anz; k++) {
1652: if (cj[k] == adj[nexta]) {
1653: ca[k] += valtmp * ada[nexta];
1654: nexta++;
1655: }
1656: }
1657: PetscCall(PetscLogFlops(2.0 * anz));
1658: }
1659: }
1661: /* 3) send and recv matrix values coa */
1662: buf_ri = merge->buf_ri;
1663: buf_rj = merge->buf_rj;
1664: len_s = merge->len_s;
1665: PetscCall(PetscCommGetNewTag(comm, &taga));
1666: PetscCall(PetscPostIrecvScalar(comm, taga, merge->nrecv, merge->id_r, merge->len_r, &abuf_r, &r_waits));
1668: PetscCall(PetscMalloc2(merge->nsend + 1, &s_waits, size, &status));
1669: for (proc = 0, k = 0; proc < size; proc++) {
1670: if (!len_s[proc]) continue;
1671: i = merge->owners_co[proc];
1672: PetscCallMPI(MPIU_Isend(coa + coi[i], len_s[proc], MPIU_MATSCALAR, proc, taga, comm, s_waits + k));
1673: k++;
1674: }
1675: if (merge->nrecv) PetscCallMPI(MPI_Waitall(merge->nrecv, r_waits, status));
1676: if (merge->nsend) PetscCallMPI(MPI_Waitall(merge->nsend, s_waits, status));
1678: PetscCall(PetscFree2(s_waits, status));
1679: PetscCall(PetscFree(r_waits));
1680: PetscCall(PetscFree(coa));
1682: /* 4) insert local Cseq and received values into Cmpi */
1683: PetscCall(PetscMalloc3(merge->nrecv, &buf_ri_k, merge->nrecv, &nextrow, merge->nrecv, &nextci));
1684: for (k = 0; k < merge->nrecv; k++) {
1685: buf_ri_k[k] = buf_ri[k]; /* beginning of k-th recved i-structure */
1686: nrows = *buf_ri_k[k];
1687: nextrow[k] = buf_ri_k[k] + 1; /* next row number of k-th recved i-structure */
1688: nextci[k] = buf_ri_k[k] + (nrows + 1); /* points to the next i-structure of k-th recved i-structure */
1689: }
1691: for (i = 0; i < cm; i++) {
1692: row = owners[rank] + i; /* global row index of C_seq */
1693: bj_i = bj + bi[i]; /* col indices of the i-th row of C */
1694: ba_i = ba + bi[i];
1695: bnz = bi[i + 1] - bi[i];
1696: /* add received vals into ba */
1697: for (k = 0; k < merge->nrecv; k++) { /* k-th received message */
1698: /* i-th row */
1699: if (i == *nextrow[k]) {
1700: cnz = *(nextci[k] + 1) - *nextci[k];
1701: cj = buf_rj[k] + *nextci[k];
1702: ca = abuf_r[k] + *nextci[k];
1703: nextcj = 0;
1704: for (j = 0; nextcj < cnz; j++) {
1705: if (bj_i[j] == cj[nextcj]) { /* bcol == ccol */
1706: ba_i[j] += ca[nextcj++];
1707: }
1708: }
1709: nextrow[k]++;
1710: nextci[k]++;
1711: PetscCall(PetscLogFlops(2.0 * cnz));
1712: }
1713: }
1714: PetscCall(MatSetValues(C, 1, &row, bnz, bj_i, ba_i, INSERT_VALUES));
1715: }
1716: PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
1717: PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
1719: PetscCall(PetscFree(ba));
1720: PetscCall(PetscFree(abuf_r[0]));
1721: PetscCall(PetscFree(abuf_r));
1722: PetscCall(PetscFree3(buf_ri_k, nextrow, nextci));
1723: PetscFunctionReturn(PETSC_SUCCESS);
1724: }
1726: PetscErrorCode MatTransposeMatMultSymbolic_MPIAIJ_MPIAIJ(Mat P, Mat A, PetscReal fill, Mat C)
1727: {
1728: Mat A_loc;
1729: Mat_APMPI *ap;
1730: PetscFreeSpaceList free_space = NULL, current_space = NULL;
1731: Mat_MPIAIJ *p = (Mat_MPIAIJ *)P->data, *a = (Mat_MPIAIJ *)A->data;
1732: PetscInt *pdti, *pdtj, *poti, *potj, *ptJ;
1733: PetscInt nnz;
1734: PetscInt *lnk, *owners_co, *coi, *coj, i, k, pnz, row;
1735: PetscInt am = A->rmap->n, pn = P->cmap->n;
1736: MPI_Comm comm;
1737: PetscMPIInt size, rank, tagi, tagj, *len_si, *len_s, *len_ri, proc;
1738: PetscInt **buf_rj, **buf_ri, **buf_ri_k;
1739: PetscInt len, *dnz, *onz, *owners;
1740: PetscInt nzi, *bi, *bj;
1741: PetscInt nrows, *buf_s, *buf_si, *buf_si_i, **nextrow, **nextci;
1742: MPI_Request *swaits, *rwaits;
1743: MPI_Status *sstatus, rstatus;
1744: Mat_Merge_SeqsToMPI *merge;
1745: PetscInt *ai, *aj, *Jptr, anz, *prmap = p->garray, pon, nspacedouble = 0, j;
1746: PetscReal afill = 1.0, afill_tmp;
1747: PetscInt rstart = P->cmap->rstart, rmax, Armax;
1748: Mat_SeqAIJ *a_loc;
1749: PetscHMapI ta;
1750: MatType mtype;
1752: PetscFunctionBegin;
1753: PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
1754: /* check if matrix local sizes are compatible */
1755: PetscCheck(A->rmap->rstart == P->rmap->rstart && A->rmap->rend == P->rmap->rend, comm, PETSC_ERR_ARG_SIZ, "Matrix local dimensions are incompatible, A (%" PetscInt_FMT ", %" PetscInt_FMT ") != P (%" PetscInt_FMT ",%" PetscInt_FMT ")", A->rmap->rstart,
1756: A->rmap->rend, P->rmap->rstart, P->rmap->rend);
1758: PetscCallMPI(MPI_Comm_size(comm, &size));
1759: PetscCallMPI(MPI_Comm_rank(comm, &rank));
1761: /* create struct Mat_APMPI and attached it to C later */
1762: PetscCall(PetscNew(&ap));
1764: /* get A_loc by taking all local rows of A */
1765: PetscCall(MatMPIAIJGetLocalMat(A, MAT_INITIAL_MATRIX, &A_loc));
1767: ap->A_loc = A_loc;
1768: a_loc = (Mat_SeqAIJ *)A_loc->data;
1769: ai = a_loc->i;
1770: aj = a_loc->j;
1772: /* determine symbolic Co=(p->B)^T*A - send to others */
1773: PetscCall(MatGetSymbolicTranspose_SeqAIJ(p->A, &pdti, &pdtj));
1774: PetscCall(MatGetSymbolicTranspose_SeqAIJ(p->B, &poti, &potj));
1775: pon = (p->B)->cmap->n; /* total num of rows to be sent to other processors
1776: >= (num of nonzero rows of C_seq) - pn */
1777: PetscCall(PetscMalloc1(pon + 1, &coi));
1778: coi[0] = 0;
1780: /* set initial free space to be fill*(nnz(p->B) + nnz(A)) */
1781: nnz = PetscRealIntMultTruncate(fill, PetscIntSumTruncate(poti[pon], ai[am]));
1782: PetscCall(PetscFreeSpaceGet(nnz, &free_space));
1783: current_space = free_space;
1785: /* create and initialize a linked list */
1786: PetscCall(PetscHMapICreateWithSize(A->cmap->n + a->B->cmap->N, &ta));
1787: MatRowMergeMax_SeqAIJ(a_loc, am, ta);
1788: PetscCall(PetscHMapIGetSize(ta, &Armax));
1790: PetscCall(PetscLLCondensedCreate_Scalable(Armax, &lnk));
1792: for (i = 0; i < pon; i++) {
1793: pnz = poti[i + 1] - poti[i];
1794: ptJ = potj + poti[i];
1795: for (j = 0; j < pnz; j++) {
1796: row = ptJ[j]; /* row of A_loc == col of Pot */
1797: anz = ai[row + 1] - ai[row];
1798: Jptr = aj + ai[row];
1799: /* add non-zero cols of AP into the sorted linked list lnk */
1800: PetscCall(PetscLLCondensedAddSorted_Scalable(anz, Jptr, lnk));
1801: }
1802: nnz = lnk[0];
1804: /* If free space is not available, double the total space in the list */
1805: if (current_space->local_remaining < nnz) {
1806: PetscCall(PetscFreeSpaceGet(PetscIntSumTruncate(nnz, current_space->total_array_size), ¤t_space));
1807: nspacedouble++;
1808: }
1810: /* Copy data into free space, and zero out denserows */
1811: PetscCall(PetscLLCondensedClean_Scalable(nnz, current_space->array, lnk));
1813: current_space->array += nnz;
1814: current_space->local_used += nnz;
1815: current_space->local_remaining -= nnz;
1817: coi[i + 1] = coi[i] + nnz;
1818: }
1820: PetscCall(PetscMalloc1(coi[pon] + 1, &coj));
1821: PetscCall(PetscFreeSpaceContiguous(&free_space, coj));
1822: PetscCall(PetscLLCondensedDestroy_Scalable(lnk)); /* must destroy to get a new one for C */
1824: afill_tmp = (PetscReal)coi[pon] / (poti[pon] + ai[am] + 1);
1825: if (afill_tmp > afill) afill = afill_tmp;
1827: /* send j-array (coj) of Co to other processors */
1828: /* determine row ownership */
1829: PetscCall(PetscNew(&merge));
1830: PetscCall(PetscLayoutCreate(comm, &merge->rowmap));
1832: merge->rowmap->n = pn;
1833: merge->rowmap->bs = 1;
1835: PetscCall(PetscLayoutSetUp(merge->rowmap));
1836: owners = merge->rowmap->range;
1838: /* determine the number of messages to send, their lengths */
1839: PetscCall(PetscCalloc1(size, &len_si));
1840: PetscCall(PetscCalloc1(size, &merge->len_s));
1842: len_s = merge->len_s;
1843: merge->nsend = 0;
1845: PetscCall(PetscMalloc1(size + 2, &owners_co));
1847: proc = 0;
1848: for (i = 0; i < pon; i++) {
1849: while (prmap[i] >= owners[proc + 1]) proc++;
1850: len_si[proc]++; /* num of rows in Co to be sent to [proc] */
1851: len_s[proc] += coi[i + 1] - coi[i];
1852: }
1854: len = 0; /* max length of buf_si[] */
1855: owners_co[0] = 0;
1856: for (proc = 0; proc < size; proc++) {
1857: owners_co[proc + 1] = owners_co[proc] + len_si[proc];
1858: if (len_si[proc]) {
1859: merge->nsend++;
1860: len_si[proc] = 2 * (len_si[proc] + 1);
1861: len += len_si[proc];
1862: }
1863: }
1865: /* determine the number and length of messages to receive for coi and coj */
1866: PetscCall(PetscGatherNumberOfMessages(comm, NULL, len_s, &merge->nrecv));
1867: PetscCall(PetscGatherMessageLengths2(comm, merge->nsend, merge->nrecv, len_s, len_si, &merge->id_r, &merge->len_r, &len_ri));
1869: /* post the Irecv and Isend of coj */
1870: PetscCall(PetscCommGetNewTag(comm, &tagj));
1871: PetscCall(PetscPostIrecvInt(comm, tagj, merge->nrecv, merge->id_r, merge->len_r, &buf_rj, &rwaits));
1872: PetscCall(PetscMalloc1(merge->nsend + 1, &swaits));
1873: for (proc = 0, k = 0; proc < size; proc++) {
1874: if (!len_s[proc]) continue;
1875: i = owners_co[proc];
1876: PetscCallMPI(MPIU_Isend(coj + coi[i], len_s[proc], MPIU_INT, proc, tagj, comm, swaits + k));
1877: k++;
1878: }
1880: /* receives and sends of coj are complete */
1881: PetscCall(PetscMalloc1(size, &sstatus));
1882: for (i = 0; i < merge->nrecv; i++) {
1883: PETSC_UNUSED PetscMPIInt icompleted;
1884: PetscCallMPI(MPI_Waitany(merge->nrecv, rwaits, &icompleted, &rstatus));
1885: }
1886: PetscCall(PetscFree(rwaits));
1887: if (merge->nsend) PetscCallMPI(MPI_Waitall(merge->nsend, swaits, sstatus));
1889: /* add received column indices into table to update Armax */
1890: /* Armax can be as large as aN if a P[row,:] is dense, see src/ksp/ksp/tutorials/ex56.c! */
1891: for (k = 0; k < merge->nrecv; k++) { /* k-th received message */
1892: Jptr = buf_rj[k];
1893: for (j = 0; j < merge->len_r[k]; j++) PetscCall(PetscHMapISet(ta, *(Jptr + j) + 1, 1));
1894: }
1895: PetscCall(PetscHMapIGetSize(ta, &Armax));
1897: /* send and recv coi */
1898: PetscCall(PetscCommGetNewTag(comm, &tagi));
1899: PetscCall(PetscPostIrecvInt(comm, tagi, merge->nrecv, merge->id_r, len_ri, &buf_ri, &rwaits));
1900: PetscCall(PetscMalloc1(len + 1, &buf_s));
1901: buf_si = buf_s; /* points to the beginning of k-th msg to be sent */
1902: for (proc = 0, k = 0; proc < size; proc++) {
1903: if (!len_s[proc]) continue;
1904: /* form outgoing message for i-structure:
1905: buf_si[0]: nrows to be sent
1906: [1:nrows]: row index (global)
1907: [nrows+1:2*nrows+1]: i-structure index
1908: */
1909: nrows = len_si[proc] / 2 - 1;
1910: buf_si_i = buf_si + nrows + 1;
1911: buf_si[0] = nrows;
1912: buf_si_i[0] = 0;
1913: nrows = 0;
1914: for (i = owners_co[proc]; i < owners_co[proc + 1]; i++) {
1915: nzi = coi[i + 1] - coi[i];
1916: buf_si_i[nrows + 1] = buf_si_i[nrows] + nzi; /* i-structure */
1917: buf_si[nrows + 1] = prmap[i] - owners[proc]; /* local row index */
1918: nrows++;
1919: }
1920: PetscCallMPI(MPIU_Isend(buf_si, len_si[proc], MPIU_INT, proc, tagi, comm, swaits + k));
1921: k++;
1922: buf_si += len_si[proc];
1923: }
1924: i = merge->nrecv;
1925: while (i--) {
1926: PETSC_UNUSED PetscMPIInt icompleted;
1927: PetscCallMPI(MPI_Waitany(merge->nrecv, rwaits, &icompleted, &rstatus));
1928: }
1929: PetscCall(PetscFree(rwaits));
1930: if (merge->nsend) PetscCallMPI(MPI_Waitall(merge->nsend, swaits, sstatus));
1931: PetscCall(PetscFree(len_si));
1932: PetscCall(PetscFree(len_ri));
1933: PetscCall(PetscFree(swaits));
1934: PetscCall(PetscFree(sstatus));
1935: PetscCall(PetscFree(buf_s));
1937: /* compute the local portion of C (mpi mat) */
1938: /* allocate bi array and free space for accumulating nonzero column info */
1939: PetscCall(PetscMalloc1(pn + 1, &bi));
1940: bi[0] = 0;
1942: /* set initial free space to be fill*(nnz(P) + nnz(AP)) */
1943: nnz = PetscRealIntMultTruncate(fill, PetscIntSumTruncate(pdti[pn], PetscIntSumTruncate(poti[pon], ai[am])));
1944: PetscCall(PetscFreeSpaceGet(nnz, &free_space));
1945: current_space = free_space;
1947: PetscCall(PetscMalloc3(merge->nrecv, &buf_ri_k, merge->nrecv, &nextrow, merge->nrecv, &nextci));
1948: for (k = 0; k < merge->nrecv; k++) {
1949: buf_ri_k[k] = buf_ri[k]; /* beginning of k-th recved i-structure */
1950: nrows = *buf_ri_k[k];
1951: nextrow[k] = buf_ri_k[k] + 1; /* next row number of k-th recved i-structure */
1952: nextci[k] = buf_ri_k[k] + (nrows + 1); /* points to the next i-structure of k-th received i-structure */
1953: }
1955: PetscCall(PetscLLCondensedCreate_Scalable(Armax, &lnk));
1956: MatPreallocateBegin(comm, pn, A->cmap->n, dnz, onz);
1957: rmax = 0;
1958: for (i = 0; i < pn; i++) {
1959: /* add pdt[i,:]*AP into lnk */
1960: pnz = pdti[i + 1] - pdti[i];
1961: ptJ = pdtj + pdti[i];
1962: for (j = 0; j < pnz; j++) {
1963: row = ptJ[j]; /* row of AP == col of Pt */
1964: anz = ai[row + 1] - ai[row];
1965: Jptr = aj + ai[row];
1966: /* add non-zero cols of AP into the sorted linked list lnk */
1967: PetscCall(PetscLLCondensedAddSorted_Scalable(anz, Jptr, lnk));
1968: }
1970: /* add received col data into lnk */
1971: for (k = 0; k < merge->nrecv; k++) { /* k-th received message */
1972: if (i == *nextrow[k]) { /* i-th row */
1973: nzi = *(nextci[k] + 1) - *nextci[k];
1974: Jptr = buf_rj[k] + *nextci[k];
1975: PetscCall(PetscLLCondensedAddSorted_Scalable(nzi, Jptr, lnk));
1976: nextrow[k]++;
1977: nextci[k]++;
1978: }
1979: }
1981: /* add missing diagonal entry */
1982: if (C->force_diagonals) {
1983: k = i + owners[rank]; /* column index */
1984: PetscCall(PetscLLCondensedAddSorted_Scalable(1, &k, lnk));
1985: }
1987: nnz = lnk[0];
1989: /* if free space is not available, make more free space */
1990: if (current_space->local_remaining < nnz) {
1991: PetscCall(PetscFreeSpaceGet(PetscIntSumTruncate(nnz, current_space->total_array_size), ¤t_space));
1992: nspacedouble++;
1993: }
1994: /* copy data into free space, then initialize lnk */
1995: PetscCall(PetscLLCondensedClean_Scalable(nnz, current_space->array, lnk));
1996: PetscCall(MatPreallocateSet(i + owners[rank], nnz, current_space->array, dnz, onz));
1998: current_space->array += nnz;
1999: current_space->local_used += nnz;
2000: current_space->local_remaining -= nnz;
2002: bi[i + 1] = bi[i] + nnz;
2003: if (nnz > rmax) rmax = nnz;
2004: }
2005: PetscCall(PetscFree3(buf_ri_k, nextrow, nextci));
2007: PetscCall(PetscMalloc1(bi[pn] + 1, &bj));
2008: PetscCall(PetscFreeSpaceContiguous(&free_space, bj));
2009: afill_tmp = (PetscReal)bi[pn] / (pdti[pn] + poti[pon] + ai[am] + 1);
2010: if (afill_tmp > afill) afill = afill_tmp;
2011: PetscCall(PetscLLCondensedDestroy_Scalable(lnk));
2012: PetscCall(PetscHMapIDestroy(&ta));
2013: PetscCall(MatRestoreSymbolicTranspose_SeqAIJ(p->A, &pdti, &pdtj));
2014: PetscCall(MatRestoreSymbolicTranspose_SeqAIJ(p->B, &poti, &potj));
2016: /* create symbolic parallel matrix C - why cannot be assembled in Numeric part */
2017: PetscCall(MatSetSizes(C, pn, A->cmap->n, PETSC_DETERMINE, PETSC_DETERMINE));
2018: PetscCall(MatSetBlockSizes(C, PetscAbs(P->cmap->bs), PetscAbs(A->cmap->bs)));
2019: PetscCall(MatGetType(A, &mtype));
2020: PetscCall(MatSetType(C, mtype));
2021: PetscCall(MatMPIAIJSetPreallocation(C, 0, dnz, 0, onz));
2022: MatPreallocateEnd(dnz, onz);
2023: PetscCall(MatSetBlockSize(C, 1));
2024: PetscCall(MatSetOption(C, MAT_NO_OFF_PROC_ENTRIES, PETSC_TRUE));
2025: for (i = 0; i < pn; i++) {
2026: row = i + rstart;
2027: nnz = bi[i + 1] - bi[i];
2028: Jptr = bj + bi[i];
2029: PetscCall(MatSetValues(C, 1, &row, nnz, Jptr, NULL, INSERT_VALUES));
2030: }
2031: PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
2032: PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
2033: PetscCall(MatSetOption(C, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
2034: merge->bi = bi;
2035: merge->bj = bj;
2036: merge->coi = coi;
2037: merge->coj = coj;
2038: merge->buf_ri = buf_ri;
2039: merge->buf_rj = buf_rj;
2040: merge->owners_co = owners_co;
2042: /* attach the supporting struct to C for reuse */
2043: C->product->data = ap;
2044: C->product->destroy = MatDestroy_MPIAIJ_PtAP;
2045: ap->merge = merge;
2047: C->ops->mattransposemultnumeric = MatTransposeMatMultNumeric_MPIAIJ_MPIAIJ;
2049: #if defined(PETSC_USE_INFO)
2050: if (bi[pn] != 0) {
2051: PetscCall(PetscInfo(C, "Reallocs %" PetscInt_FMT "; Fill ratio: given %g needed %g.\n", nspacedouble, (double)fill, (double)afill));
2052: PetscCall(PetscInfo(C, "Use MatTransposeMatMult(A,B,MatReuse,%g,&C) for best performance.\n", (double)afill));
2053: } else {
2054: PetscCall(PetscInfo(C, "Empty matrix product\n"));
2055: }
2056: #endif
2057: PetscFunctionReturn(PETSC_SUCCESS);
2058: }
2060: static PetscErrorCode MatProductSymbolic_AtB_MPIAIJ_MPIAIJ(Mat C)
2061: {
2062: Mat_Product *product = C->product;
2063: Mat A = product->A, B = product->B;
2064: PetscReal fill = product->fill;
2065: PetscBool flg;
2067: PetscFunctionBegin;
2068: /* scalable */
2069: PetscCall(PetscStrcmp(product->alg, "scalable", &flg));
2070: if (flg) {
2071: PetscCall(MatTransposeMatMultSymbolic_MPIAIJ_MPIAIJ(A, B, fill, C));
2072: goto next;
2073: }
2075: /* nonscalable */
2076: PetscCall(PetscStrcmp(product->alg, "nonscalable", &flg));
2077: if (flg) {
2078: PetscCall(MatTransposeMatMultSymbolic_MPIAIJ_MPIAIJ_nonscalable(A, B, fill, C));
2079: goto next;
2080: }
2082: /* matmatmult */
2083: PetscCall(PetscStrcmp(product->alg, "at*b", &flg));
2084: if (flg) {
2085: Mat At;
2086: Mat_APMPI *ptap;
2088: PetscCall(MatTranspose(A, MAT_INITIAL_MATRIX, &At));
2089: PetscCall(MatMatMultSymbolic_MPIAIJ_MPIAIJ(At, B, fill, C));
2090: ptap = (Mat_APMPI *)C->product->data;
2091: if (ptap) {
2092: ptap->Pt = At;
2093: C->product->destroy = MatDestroy_MPIAIJ_PtAP;
2094: }
2095: C->ops->transposematmultnumeric = MatTransposeMatMultNumeric_MPIAIJ_MPIAIJ_matmatmult;
2096: goto next;
2097: }
2099: /* backend general code */
2100: PetscCall(PetscStrcmp(product->alg, "backend", &flg));
2101: if (flg) {
2102: PetscCall(MatProductSymbolic_MPIAIJBACKEND(C));
2103: PetscFunctionReturn(PETSC_SUCCESS);
2104: }
2106: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "MatProduct type is not supported");
2108: next:
2109: C->ops->productnumeric = MatProductNumeric_AtB;
2110: PetscFunctionReturn(PETSC_SUCCESS);
2111: }
2113: /* Set options for MatMatMultxxx_MPIAIJ_MPIAIJ */
2114: static PetscErrorCode MatProductSetFromOptions_MPIAIJ_AB(Mat C)
2115: {
2116: Mat_Product *product = C->product;
2117: Mat A = product->A, B = product->B;
2118: #if defined(PETSC_HAVE_HYPRE)
2119: const char *algTypes[5] = {"scalable", "nonscalable", "seqmpi", "backend", "hypre"};
2120: PetscInt nalg = 5;
2121: #else
2122: const char *algTypes[4] = {
2123: "scalable",
2124: "nonscalable",
2125: "seqmpi",
2126: "backend",
2127: };
2128: PetscInt nalg = 4;
2129: #endif
2130: PetscInt alg = 1; /* set nonscalable algorithm as default */
2131: PetscBool flg;
2132: MPI_Comm comm;
2134: PetscFunctionBegin;
2135: PetscCall(PetscObjectGetComm((PetscObject)C, &comm));
2137: /* Set "nonscalable" as default algorithm */
2138: PetscCall(PetscStrcmp(C->product->alg, "default", &flg));
2139: if (flg) {
2140: PetscCall(MatProductSetAlgorithm(C, (MatProductAlgorithm)algTypes[alg]));
2142: /* Set "scalable" as default if BN and local nonzeros of A and B are large */
2143: if (B->cmap->N > 100000) { /* may switch to scalable algorithm as default */
2144: MatInfo Ainfo, Binfo;
2145: PetscInt nz_local;
2146: PetscBool alg_scalable_loc = PETSC_FALSE, alg_scalable;
2148: PetscCall(MatGetInfo(A, MAT_LOCAL, &Ainfo));
2149: PetscCall(MatGetInfo(B, MAT_LOCAL, &Binfo));
2150: nz_local = (PetscInt)(Ainfo.nz_allocated + Binfo.nz_allocated);
2152: if (B->cmap->N > product->fill * nz_local) alg_scalable_loc = PETSC_TRUE;
2153: PetscCallMPI(MPIU_Allreduce(&alg_scalable_loc, &alg_scalable, 1, MPIU_BOOL, MPI_LOR, comm));
2155: if (alg_scalable) {
2156: alg = 0; /* scalable algorithm would 50% slower than nonscalable algorithm */
2157: PetscCall(MatProductSetAlgorithm(C, (MatProductAlgorithm)algTypes[alg]));
2158: PetscCall(PetscInfo(B, "Use scalable algorithm, BN %" PetscInt_FMT ", fill*nz_allocated %g\n", B->cmap->N, (double)(product->fill * nz_local)));
2159: }
2160: }
2161: }
2163: /* Get runtime option */
2164: if (product->api_user) {
2165: PetscOptionsBegin(PetscObjectComm((PetscObject)C), ((PetscObject)C)->prefix, "MatMatMult", "Mat");
2166: PetscCall(PetscOptionsEList("-matmatmult_via", "Algorithmic approach", "MatMatMult", algTypes, nalg, algTypes[alg], &alg, &flg));
2167: PetscOptionsEnd();
2168: } else {
2169: PetscOptionsBegin(PetscObjectComm((PetscObject)C), ((PetscObject)C)->prefix, "MatProduct_AB", "Mat");
2170: PetscCall(PetscOptionsEList("-mat_product_algorithm", "Algorithmic approach", "MatMatMult", algTypes, nalg, algTypes[alg], &alg, &flg));
2171: PetscOptionsEnd();
2172: }
2173: if (flg) PetscCall(MatProductSetAlgorithm(C, (MatProductAlgorithm)algTypes[alg]));
2175: C->ops->productsymbolic = MatProductSymbolic_AB_MPIAIJ_MPIAIJ;
2176: PetscFunctionReturn(PETSC_SUCCESS);
2177: }
2179: static PetscErrorCode MatProductSetFromOptions_MPIAIJ_ABt(Mat C)
2180: {
2181: PetscFunctionBegin;
2182: PetscCall(MatProductSetFromOptions_MPIAIJ_AB(C));
2183: C->ops->productsymbolic = MatProductSymbolic_ABt_MPIAIJ_MPIAIJ;
2184: PetscFunctionReturn(PETSC_SUCCESS);
2185: }
2187: /* Set options for MatTransposeMatMultXXX_MPIAIJ_MPIAIJ */
2188: static PetscErrorCode MatProductSetFromOptions_MPIAIJ_AtB(Mat C)
2189: {
2190: Mat_Product *product = C->product;
2191: Mat A = product->A, B = product->B;
2192: const char *algTypes[4] = {"scalable", "nonscalable", "at*b", "backend"};
2193: PetscInt nalg = 4;
2194: PetscInt alg = 1; /* set default algorithm */
2195: PetscBool flg;
2196: MPI_Comm comm;
2198: PetscFunctionBegin;
2199: /* Check matrix local sizes */
2200: PetscCall(PetscObjectGetComm((PetscObject)C, &comm));
2201: PetscCheck(A->rmap->rstart == B->rmap->rstart && A->rmap->rend == B->rmap->rend, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Matrix local dimensions are incompatible, A (%" PetscInt_FMT ", %" PetscInt_FMT ") != B (%" PetscInt_FMT ",%" PetscInt_FMT ")",
2202: A->rmap->rstart, A->rmap->rend, B->rmap->rstart, B->rmap->rend);
2204: /* Set default algorithm */
2205: PetscCall(PetscStrcmp(C->product->alg, "default", &flg));
2206: if (flg) PetscCall(MatProductSetAlgorithm(C, (MatProductAlgorithm)algTypes[alg]));
2208: /* Set "scalable" as default if BN and local nonzeros of A and B are large */
2209: if (alg && B->cmap->N > 100000) { /* may switch to scalable algorithm as default */
2210: MatInfo Ainfo, Binfo;
2211: PetscInt nz_local;
2212: PetscBool alg_scalable_loc = PETSC_FALSE, alg_scalable;
2214: PetscCall(MatGetInfo(A, MAT_LOCAL, &Ainfo));
2215: PetscCall(MatGetInfo(B, MAT_LOCAL, &Binfo));
2216: nz_local = (PetscInt)(Ainfo.nz_allocated + Binfo.nz_allocated);
2218: if (B->cmap->N > product->fill * nz_local) alg_scalable_loc = PETSC_TRUE;
2219: PetscCallMPI(MPIU_Allreduce(&alg_scalable_loc, &alg_scalable, 1, MPIU_BOOL, MPI_LOR, comm));
2221: if (alg_scalable) {
2222: alg = 0; /* scalable algorithm would 50% slower than nonscalable algorithm */
2223: PetscCall(MatProductSetAlgorithm(C, (MatProductAlgorithm)algTypes[alg]));
2224: PetscCall(PetscInfo(B, "Use scalable algorithm, BN %" PetscInt_FMT ", fill*nz_allocated %g\n", B->cmap->N, (double)(product->fill * nz_local)));
2225: }
2226: }
2228: /* Get runtime option */
2229: if (product->api_user) {
2230: PetscOptionsBegin(PetscObjectComm((PetscObject)C), ((PetscObject)C)->prefix, "MatTransposeMatMult", "Mat");
2231: PetscCall(PetscOptionsEList("-mattransposematmult_via", "Algorithmic approach", "MatTransposeMatMult", algTypes, nalg, algTypes[alg], &alg, &flg));
2232: PetscOptionsEnd();
2233: } else {
2234: PetscOptionsBegin(PetscObjectComm((PetscObject)C), ((PetscObject)C)->prefix, "MatProduct_AtB", "Mat");
2235: PetscCall(PetscOptionsEList("-mat_product_algorithm", "Algorithmic approach", "MatTransposeMatMult", algTypes, nalg, algTypes[alg], &alg, &flg));
2236: PetscOptionsEnd();
2237: }
2238: if (flg) PetscCall(MatProductSetAlgorithm(C, (MatProductAlgorithm)algTypes[alg]));
2240: C->ops->productsymbolic = MatProductSymbolic_AtB_MPIAIJ_MPIAIJ;
2241: PetscFunctionReturn(PETSC_SUCCESS);
2242: }
2244: static PetscErrorCode MatProductSetFromOptions_MPIAIJ_PtAP(Mat C)
2245: {
2246: Mat_Product *product = C->product;
2247: Mat A = product->A, P = product->B;
2248: MPI_Comm comm;
2249: PetscBool flg;
2250: PetscInt alg = 1; /* set default algorithm */
2251: #if !defined(PETSC_HAVE_HYPRE)
2252: const char *algTypes[5] = {"scalable", "nonscalable", "allatonce", "allatonce_merged", "backend"};
2253: PetscInt nalg = 5;
2254: #else
2255: const char *algTypes[6] = {"scalable", "nonscalable", "allatonce", "allatonce_merged", "backend", "hypre"};
2256: PetscInt nalg = 6;
2257: #endif
2258: PetscInt pN = P->cmap->N;
2260: PetscFunctionBegin;
2261: /* Check matrix local sizes */
2262: PetscCall(PetscObjectGetComm((PetscObject)C, &comm));
2263: PetscCheck(A->rmap->rstart == P->rmap->rstart && A->rmap->rend == P->rmap->rend, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Matrix local dimensions are incompatible, Arow (%" PetscInt_FMT ", %" PetscInt_FMT ") != Prow (%" PetscInt_FMT ",%" PetscInt_FMT ")",
2264: A->rmap->rstart, A->rmap->rend, P->rmap->rstart, P->rmap->rend);
2265: PetscCheck(A->cmap->rstart == P->rmap->rstart && A->cmap->rend == P->rmap->rend, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Matrix local dimensions are incompatible, Acol (%" PetscInt_FMT ", %" PetscInt_FMT ") != Prow (%" PetscInt_FMT ",%" PetscInt_FMT ")",
2266: A->cmap->rstart, A->cmap->rend, P->rmap->rstart, P->rmap->rend);
2268: /* Set "nonscalable" as default algorithm */
2269: PetscCall(PetscStrcmp(C->product->alg, "default", &flg));
2270: if (flg) {
2271: PetscCall(MatProductSetAlgorithm(C, (MatProductAlgorithm)algTypes[alg]));
2273: /* Set "scalable" as default if BN and local nonzeros of A and B are large */
2274: if (pN > 100000) {
2275: MatInfo Ainfo, Pinfo;
2276: PetscInt nz_local;
2277: PetscBool alg_scalable_loc = PETSC_FALSE, alg_scalable;
2279: PetscCall(MatGetInfo(A, MAT_LOCAL, &Ainfo));
2280: PetscCall(MatGetInfo(P, MAT_LOCAL, &Pinfo));
2281: nz_local = (PetscInt)(Ainfo.nz_allocated + Pinfo.nz_allocated);
2283: if (pN > product->fill * nz_local) alg_scalable_loc = PETSC_TRUE;
2284: PetscCallMPI(MPIU_Allreduce(&alg_scalable_loc, &alg_scalable, 1, MPIU_BOOL, MPI_LOR, comm));
2286: if (alg_scalable) {
2287: alg = 0; /* scalable algorithm would 50% slower than nonscalable algorithm */
2288: PetscCall(MatProductSetAlgorithm(C, (MatProductAlgorithm)algTypes[alg]));
2289: }
2290: }
2291: }
2293: /* Get runtime option */
2294: if (product->api_user) {
2295: PetscOptionsBegin(PetscObjectComm((PetscObject)C), ((PetscObject)C)->prefix, "MatPtAP", "Mat");
2296: PetscCall(PetscOptionsEList("-matptap_via", "Algorithmic approach", "MatPtAP", algTypes, nalg, algTypes[alg], &alg, &flg));
2297: PetscOptionsEnd();
2298: } else {
2299: PetscOptionsBegin(PetscObjectComm((PetscObject)C), ((PetscObject)C)->prefix, "MatProduct_PtAP", "Mat");
2300: PetscCall(PetscOptionsEList("-mat_product_algorithm", "Algorithmic approach", "MatPtAP", algTypes, nalg, algTypes[alg], &alg, &flg));
2301: PetscOptionsEnd();
2302: }
2303: if (flg) PetscCall(MatProductSetAlgorithm(C, (MatProductAlgorithm)algTypes[alg]));
2305: C->ops->productsymbolic = MatProductSymbolic_PtAP_MPIAIJ_MPIAIJ;
2306: PetscFunctionReturn(PETSC_SUCCESS);
2307: }
2309: static PetscErrorCode MatProductSetFromOptions_MPIAIJ_RARt(Mat C)
2310: {
2311: Mat_Product *product = C->product;
2312: Mat A = product->A, R = product->B;
2314: PetscFunctionBegin;
2315: /* Check matrix local sizes */
2316: PetscCheck(A->cmap->n == R->cmap->n && A->rmap->n == R->cmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Matrix local dimensions are incompatible, A local (%" PetscInt_FMT ", %" PetscInt_FMT "), R local (%" PetscInt_FMT ",%" PetscInt_FMT ")", A->rmap->n,
2317: A->rmap->n, R->rmap->n, R->cmap->n);
2319: C->ops->productsymbolic = MatProductSymbolic_RARt_MPIAIJ_MPIAIJ;
2320: PetscFunctionReturn(PETSC_SUCCESS);
2321: }
2323: /*
2324: Set options for ABC = A*B*C = A*(B*C); ABC's algorithm must be chosen from AB's algorithm
2325: */
2326: static PetscErrorCode MatProductSetFromOptions_MPIAIJ_ABC(Mat C)
2327: {
2328: Mat_Product *product = C->product;
2329: PetscBool flg = PETSC_FALSE;
2330: PetscInt alg = 1; /* default algorithm */
2331: const char *algTypes[3] = {"scalable", "nonscalable", "seqmpi"};
2332: PetscInt nalg = 3;
2334: PetscFunctionBegin;
2335: /* Set default algorithm */
2336: PetscCall(PetscStrcmp(C->product->alg, "default", &flg));
2337: if (flg) PetscCall(MatProductSetAlgorithm(C, (MatProductAlgorithm)algTypes[alg]));
2339: /* Get runtime option */
2340: if (product->api_user) {
2341: PetscOptionsBegin(PetscObjectComm((PetscObject)C), ((PetscObject)C)->prefix, "MatMatMatMult", "Mat");
2342: PetscCall(PetscOptionsEList("-matmatmatmult_via", "Algorithmic approach", "MatMatMatMult", algTypes, nalg, algTypes[alg], &alg, &flg));
2343: PetscOptionsEnd();
2344: } else {
2345: PetscOptionsBegin(PetscObjectComm((PetscObject)C), ((PetscObject)C)->prefix, "MatProduct_ABC", "Mat");
2346: PetscCall(PetscOptionsEList("-mat_product_algorithm", "Algorithmic approach", "MatProduct_ABC", algTypes, nalg, algTypes[alg], &alg, &flg));
2347: PetscOptionsEnd();
2348: }
2349: if (flg) PetscCall(MatProductSetAlgorithm(C, (MatProductAlgorithm)algTypes[alg]));
2351: C->ops->matmatmultsymbolic = MatMatMatMultSymbolic_MPIAIJ_MPIAIJ_MPIAIJ;
2352: C->ops->productsymbolic = MatProductSymbolic_ABC;
2353: PetscFunctionReturn(PETSC_SUCCESS);
2354: }
2356: PETSC_INTERN PetscErrorCode MatProductSetFromOptions_MPIAIJ(Mat C)
2357: {
2358: Mat_Product *product = C->product;
2360: PetscFunctionBegin;
2361: switch (product->type) {
2362: case MATPRODUCT_AB:
2363: PetscCall(MatProductSetFromOptions_MPIAIJ_AB(C));
2364: break;
2365: case MATPRODUCT_ABt:
2366: PetscCall(MatProductSetFromOptions_MPIAIJ_ABt(C));
2367: break;
2368: case MATPRODUCT_AtB:
2369: PetscCall(MatProductSetFromOptions_MPIAIJ_AtB(C));
2370: break;
2371: case MATPRODUCT_PtAP:
2372: PetscCall(MatProductSetFromOptions_MPIAIJ_PtAP(C));
2373: break;
2374: case MATPRODUCT_RARt:
2375: PetscCall(MatProductSetFromOptions_MPIAIJ_RARt(C));
2376: break;
2377: case MATPRODUCT_ABC:
2378: PetscCall(MatProductSetFromOptions_MPIAIJ_ABC(C));
2379: break;
2380: default:
2381: break;
2382: }
2383: PetscFunctionReturn(PETSC_SUCCESS);
2384: }