Actual source code: matmatmult.c
petsc-3.14.1 2020-11-03
2: /*
3: Defines matrix-matrix product routines for pairs of SeqAIJ matrices
4: C = A * B
5: */
7: #include <../src/mat/impls/aij/seq/aij.h>
8: #include <../src/mat/utils/freespace.h>
9: #include <petscbt.h>
10: #include <petsc/private/isimpl.h>
11: #include <../src/mat/impls/dense/seq/dense.h>
13: PetscErrorCode MatMatMultNumeric_SeqAIJ_SeqAIJ(Mat A,Mat B,Mat C)
14: {
18: if (C->ops->matmultnumeric) {
19: if (C->ops->matmultnumeric == MatMatMultNumeric_SeqAIJ_SeqAIJ) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Recursive call");
20: (*C->ops->matmultnumeric)(A,B,C);
21: } else {
22: MatMatMultNumeric_SeqAIJ_SeqAIJ_Sorted(A,B,C);
23: }
24: return(0);
25: }
27: /* Modified from MatCreateSeqAIJWithArrays() */
28: PETSC_INTERN PetscErrorCode MatSetSeqAIJWithArrays_private(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt i[],PetscInt j[],PetscScalar a[],MatType mtype,Mat mat)
29: {
31: PetscInt ii;
32: Mat_SeqAIJ *aij;
33: PetscBool isseqaij;
36: if (m > 0 && i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
37: MatSetSizes(mat,m,n,m,n);
39: if (!mtype) {
40: PetscObjectBaseTypeCompare((PetscObject)mat,MATSEQAIJ,&isseqaij);
41: if (!isseqaij) { MatSetType(mat,MATSEQAIJ); }
42: } else {
43: MatSetType(mat,mtype);
44: }
45: MatSeqAIJSetPreallocation_SeqAIJ(mat,MAT_SKIP_ALLOCATION,NULL);
46: aij = (Mat_SeqAIJ*)(mat)->data;
47: PetscMalloc1(m,&aij->imax);
48: PetscMalloc1(m,&aij->ilen);
50: aij->i = i;
51: aij->j = j;
52: aij->a = a;
53: aij->singlemalloc = PETSC_FALSE;
54: aij->nonew = -1; /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
55: aij->free_a = PETSC_FALSE;
56: aij->free_ij = PETSC_FALSE;
58: for (ii=0; ii<m; ii++) {
59: aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
60: }
62: return(0);
63: }
65: PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat C)
66: {
67: PetscErrorCode ierr;
68: Mat_Product *product = C->product;
69: MatProductAlgorithm alg;
70: PetscBool flg;
73: if (product) {
74: alg = product->alg;
75: } else {
76: alg = "sorted";
77: }
78: /* sorted */
79: PetscStrcmp(alg,"sorted",&flg);
80: if (flg) {
81: MatMatMultSymbolic_SeqAIJ_SeqAIJ_Sorted(A,B,fill,C);
82: return(0);
83: }
85: /* scalable */
86: PetscStrcmp(alg,"scalable",&flg);
87: if (flg) {
88: MatMatMultSymbolic_SeqAIJ_SeqAIJ_Scalable(A,B,fill,C);
89: return(0);
90: }
92: /* scalable_fast */
93: PetscStrcmp(alg,"scalable_fast",&flg);
94: if (flg) {
95: MatMatMultSymbolic_SeqAIJ_SeqAIJ_Scalable_fast(A,B,fill,C);
96: return(0);
97: }
99: /* heap */
100: PetscStrcmp(alg,"heap",&flg);
101: if (flg) {
102: MatMatMultSymbolic_SeqAIJ_SeqAIJ_Heap(A,B,fill,C);
103: return(0);
104: }
106: /* btheap */
107: PetscStrcmp(alg,"btheap",&flg);
108: if (flg) {
109: MatMatMultSymbolic_SeqAIJ_SeqAIJ_BTHeap(A,B,fill,C);
110: return(0);
111: }
113: /* llcondensed */
114: PetscStrcmp(alg,"llcondensed",&flg);
115: if (flg) {
116: MatMatMultSymbolic_SeqAIJ_SeqAIJ_LLCondensed(A,B,fill,C);
117: return(0);
118: }
120: /* rowmerge */
121: PetscStrcmp(alg,"rowmerge",&flg);
122: if (flg) {
123: MatMatMultSymbolic_SeqAIJ_SeqAIJ_RowMerge(A,B,fill,C);
124: return(0);
125: }
127: #if defined(PETSC_HAVE_HYPRE)
128: PetscStrcmp(alg,"hypre",&flg);
129: if (flg) {
130: MatMatMultSymbolic_AIJ_AIJ_wHYPRE(A,B,fill,C);
131: return(0);
132: }
133: #endif
135: SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat Product Algorithm is not supported");
136: return(0);
137: }
139: PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_LLCondensed(Mat A,Mat B,PetscReal fill,Mat C)
140: {
141: PetscErrorCode ierr;
142: Mat_SeqAIJ *a =(Mat_SeqAIJ*)A->data,*b=(Mat_SeqAIJ*)B->data,*c;
143: PetscInt *ai=a->i,*bi=b->i,*ci,*cj;
144: PetscInt am =A->rmap->N,bn=B->cmap->N,bm=B->rmap->N;
145: PetscReal afill;
146: PetscInt i,j,anzi,brow,bnzj,cnzi,*bj,*aj,*lnk,ndouble=0,Crmax;
147: PetscTable ta;
148: PetscBT lnkbt;
149: PetscFreeSpaceList free_space=NULL,current_space=NULL;
152: /* Get ci and cj */
153: /*---------------*/
154: /* Allocate ci array, arrays for fill computation and */
155: /* free space for accumulating nonzero column info */
156: PetscMalloc1(am+2,&ci);
157: ci[0] = 0;
159: /* create and initialize a linked list */
160: PetscTableCreate(bn,bn,&ta);
161: MatRowMergeMax_SeqAIJ(b,bm,ta);
162: PetscTableGetCount(ta,&Crmax);
163: PetscTableDestroy(&ta);
165: PetscLLCondensedCreate(Crmax,bn,&lnk,&lnkbt);
167: /* Initial FreeSpace size is fill*(nnz(A)+nnz(B)) */
168: PetscFreeSpaceGet(PetscRealIntMultTruncate(fill,PetscIntSumTruncate(ai[am],bi[bm])),&free_space);
170: current_space = free_space;
172: /* Determine ci and cj */
173: for (i=0; i<am; i++) {
174: anzi = ai[i+1] - ai[i];
175: aj = a->j + ai[i];
176: for (j=0; j<anzi; j++) {
177: brow = aj[j];
178: bnzj = bi[brow+1] - bi[brow];
179: bj = b->j + bi[brow];
180: /* add non-zero cols of B into the sorted linked list lnk */
181: PetscLLCondensedAddSorted(bnzj,bj,lnk,lnkbt);
182: }
183: cnzi = lnk[0];
185: /* If free space is not available, make more free space */
186: /* Double the amount of total space in the list */
187: if (current_space->local_remaining<cnzi) {
188: PetscFreeSpaceGet(PetscIntSumTruncate(cnzi,current_space->total_array_size),¤t_space);
189: ndouble++;
190: }
192: /* Copy data into free space, then initialize lnk */
193: PetscLLCondensedClean(bn,cnzi,current_space->array,lnk,lnkbt);
195: current_space->array += cnzi;
196: current_space->local_used += cnzi;
197: current_space->local_remaining -= cnzi;
199: ci[i+1] = ci[i] + cnzi;
200: }
202: /* Column indices are in the list of free space */
203: /* Allocate space for cj, initialize cj, and */
204: /* destroy list of free space and other temporary array(s) */
205: PetscMalloc1(ci[am]+1,&cj);
206: PetscFreeSpaceContiguous(&free_space,cj);
207: PetscLLCondensedDestroy(lnk,lnkbt);
209: /* put together the new symbolic matrix */
210: MatSetSeqAIJWithArrays_private(PetscObjectComm((PetscObject)A),am,bn,ci,cj,NULL,((PetscObject)A)->type_name,C);
211: MatSetBlockSizesFromMats(C,A,B);
213: /* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
214: /* These are PETSc arrays, so change flags so arrays can be deleted by PETSc */
215: c = (Mat_SeqAIJ*)(C->data);
216: c->free_a = PETSC_FALSE;
217: c->free_ij = PETSC_TRUE;
218: c->nonew = 0;
220: /* fast, needs non-scalable O(bn) array 'abdense' */
221: C->ops->matmultnumeric = MatMatMultNumeric_SeqAIJ_SeqAIJ_Sorted;
223: /* set MatInfo */
224: afill = (PetscReal)ci[am]/(ai[am]+bi[bm]) + 1.e-5;
225: if (afill < 1.0) afill = 1.0;
226: c->maxnz = ci[am];
227: c->nz = ci[am];
228: C->info.mallocs = ndouble;
229: C->info.fill_ratio_given = fill;
230: C->info.fill_ratio_needed = afill;
232: #if defined(PETSC_USE_INFO)
233: if (ci[am]) {
234: PetscInfo3(C,"Reallocs %D; Fill ratio: given %g needed %g.\n",ndouble,(double)fill,(double)afill);
235: PetscInfo1(C,"Use MatMatMult(A,B,MatReuse,%g,&C) for best performance.;\n",(double)afill);
236: } else {
237: PetscInfo(C,"Empty matrix product\n");
238: }
239: #endif
240: return(0);
241: }
243: PetscErrorCode MatMatMultNumeric_SeqAIJ_SeqAIJ_Sorted(Mat A,Mat B,Mat C)
244: {
246: PetscLogDouble flops=0.0;
247: Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
248: Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
249: Mat_SeqAIJ *c = (Mat_SeqAIJ*)C->data;
250: PetscInt *ai =a->i,*aj=a->j,*bi=b->i,*bj=b->j,*bjj,*ci=c->i,*cj=c->j;
251: PetscInt am =A->rmap->n,cm=C->rmap->n;
252: PetscInt i,j,k,anzi,bnzi,cnzi,brow;
253: PetscScalar *aa=a->a,*ba=b->a,*baj,*ca,valtmp;
254: PetscScalar *ab_dense;
255: PetscContainer cab_dense;
258: if (!c->a) { /* first call of MatMatMultNumeric_SeqAIJ_SeqAIJ, allocate ca and matmult_abdense */
259: PetscMalloc1(ci[cm]+1,&ca);
260: c->a = ca;
261: c->free_a = PETSC_TRUE;
262: } else ca = c->a;
264: /* TODO this should be done in the symbolic phase */
265: /* However, this function is so heavily used (sometimes in an hidden way through multnumeric function pointers
266: that is hard to eradicate) */
267: PetscObjectQuery((PetscObject)C,"__PETSc__ab_dense",(PetscObject*)&cab_dense);
268: if (!cab_dense) {
269: PetscMalloc1(B->cmap->N,&ab_dense);
270: PetscContainerCreate(PETSC_COMM_SELF,&cab_dense);
271: PetscContainerSetPointer(cab_dense,ab_dense);
272: PetscContainerSetUserDestroy(cab_dense,PetscContainerUserDestroyDefault);
273: PetscObjectCompose((PetscObject)C,"__PETSc__ab_dense",(PetscObject)cab_dense);
274: PetscObjectDereference((PetscObject)cab_dense);
275: }
276: PetscContainerGetPointer(cab_dense,(void**)&ab_dense);
277: PetscArrayzero(ab_dense,B->cmap->N);
279: /* clean old values in C */
280: PetscArrayzero(ca,ci[cm]);
281: /* Traverse A row-wise. */
282: /* Build the ith row in C by summing over nonzero columns in A, */
283: /* the rows of B corresponding to nonzeros of A. */
284: for (i=0; i<am; i++) {
285: anzi = ai[i+1] - ai[i];
286: for (j=0; j<anzi; j++) {
287: brow = aj[j];
288: bnzi = bi[brow+1] - bi[brow];
289: bjj = bj + bi[brow];
290: baj = ba + bi[brow];
291: /* perform dense axpy */
292: valtmp = aa[j];
293: for (k=0; k<bnzi; k++) {
294: ab_dense[bjj[k]] += valtmp*baj[k];
295: }
296: flops += 2*bnzi;
297: }
298: aj += anzi; aa += anzi;
300: cnzi = ci[i+1] - ci[i];
301: for (k=0; k<cnzi; k++) {
302: ca[k] += ab_dense[cj[k]];
303: ab_dense[cj[k]] = 0.0; /* zero ab_dense */
304: }
305: flops += cnzi;
306: cj += cnzi; ca += cnzi;
307: }
308: MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);
309: MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);
310: PetscLogFlops(flops);
311: return(0);
312: }
314: PetscErrorCode MatMatMultNumeric_SeqAIJ_SeqAIJ_Scalable(Mat A,Mat B,Mat C)
315: {
317: PetscLogDouble flops=0.0;
318: Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
319: Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
320: Mat_SeqAIJ *c = (Mat_SeqAIJ*)C->data;
321: PetscInt *ai = a->i,*aj=a->j,*bi=b->i,*bj=b->j,*bjj,*ci=c->i,*cj=c->j;
322: PetscInt am = A->rmap->N,cm=C->rmap->N;
323: PetscInt i,j,k,anzi,bnzi,cnzi,brow;
324: PetscScalar *aa=a->a,*ba=b->a,*baj,*ca=c->a,valtmp;
325: PetscInt nextb;
328: if (!ca) { /* first call of MatMatMultNumeric_SeqAIJ_SeqAIJ, allocate ca and matmult_abdense */
329: PetscMalloc1(ci[cm]+1,&ca);
330: c->a = ca;
331: c->free_a = PETSC_TRUE;
332: }
334: /* clean old values in C */
335: PetscArrayzero(ca,ci[cm]);
336: /* Traverse A row-wise. */
337: /* Build the ith row in C by summing over nonzero columns in A, */
338: /* the rows of B corresponding to nonzeros of A. */
339: for (i=0; i<am; i++) {
340: anzi = ai[i+1] - ai[i];
341: cnzi = ci[i+1] - ci[i];
342: for (j=0; j<anzi; j++) {
343: brow = aj[j];
344: bnzi = bi[brow+1] - bi[brow];
345: bjj = bj + bi[brow];
346: baj = ba + bi[brow];
347: /* perform sparse axpy */
348: valtmp = aa[j];
349: nextb = 0;
350: for (k=0; nextb<bnzi; k++) {
351: if (cj[k] == bjj[nextb]) { /* ccol == bcol */
352: ca[k] += valtmp*baj[nextb++];
353: }
354: }
355: flops += 2*bnzi;
356: }
357: aj += anzi; aa += anzi;
358: cj += cnzi; ca += cnzi;
359: }
360: MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);
361: MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);
362: PetscLogFlops(flops);
363: return(0);
364: }
366: PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Scalable_fast(Mat A,Mat B,PetscReal fill,Mat C)
367: {
368: PetscErrorCode ierr;
369: Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data,*b=(Mat_SeqAIJ*)B->data,*c;
370: PetscInt *ai = a->i,*bi=b->i,*ci,*cj;
371: PetscInt am = A->rmap->N,bn=B->cmap->N,bm=B->rmap->N;
372: MatScalar *ca;
373: PetscReal afill;
374: PetscInt i,j,anzi,brow,bnzj,cnzi,*bj,*aj,*lnk,ndouble=0,Crmax;
375: PetscTable ta;
376: PetscFreeSpaceList free_space=NULL,current_space=NULL;
379: /* Get ci and cj - same as MatMatMultSymbolic_SeqAIJ_SeqAIJ except using PetscLLxxx_fast() */
380: /*-----------------------------------------------------------------------------------------*/
381: /* Allocate arrays for fill computation and free space for accumulating nonzero column */
382: PetscMalloc1(am+2,&ci);
383: ci[0] = 0;
385: /* create and initialize a linked list */
386: PetscTableCreate(bn,bn,&ta);
387: MatRowMergeMax_SeqAIJ(b,bm,ta);
388: PetscTableGetCount(ta,&Crmax);
389: PetscTableDestroy(&ta);
391: PetscLLCondensedCreate_fast(Crmax,&lnk);
393: /* Initial FreeSpace size is fill*(nnz(A)+nnz(B)) */
394: PetscFreeSpaceGet(PetscRealIntMultTruncate(fill,PetscIntSumTruncate(ai[am],bi[bm])),&free_space);
395: current_space = free_space;
397: /* Determine ci and cj */
398: for (i=0; i<am; i++) {
399: anzi = ai[i+1] - ai[i];
400: aj = a->j + ai[i];
401: for (j=0; j<anzi; j++) {
402: brow = aj[j];
403: bnzj = bi[brow+1] - bi[brow];
404: bj = b->j + bi[brow];
405: /* add non-zero cols of B into the sorted linked list lnk */
406: PetscLLCondensedAddSorted_fast(bnzj,bj,lnk);
407: }
408: cnzi = lnk[1];
410: /* If free space is not available, make more free space */
411: /* Double the amount of total space in the list */
412: if (current_space->local_remaining<cnzi) {
413: PetscFreeSpaceGet(PetscIntSumTruncate(cnzi,current_space->total_array_size),¤t_space);
414: ndouble++;
415: }
417: /* Copy data into free space, then initialize lnk */
418: PetscLLCondensedClean_fast(cnzi,current_space->array,lnk);
420: current_space->array += cnzi;
421: current_space->local_used += cnzi;
422: current_space->local_remaining -= cnzi;
424: ci[i+1] = ci[i] + cnzi;
425: }
427: /* Column indices are in the list of free space */
428: /* Allocate space for cj, initialize cj, and */
429: /* destroy list of free space and other temporary array(s) */
430: PetscMalloc1(ci[am]+1,&cj);
431: PetscFreeSpaceContiguous(&free_space,cj);
432: PetscLLCondensedDestroy_fast(lnk);
434: /* Allocate space for ca */
435: PetscCalloc1(ci[am]+1,&ca);
437: /* put together the new symbolic matrix */
438: MatSetSeqAIJWithArrays_private(PetscObjectComm((PetscObject)A),am,bn,ci,cj,ca,((PetscObject)A)->type_name,C);
439: MatSetBlockSizesFromMats(C,A,B);
441: /* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
442: /* These are PETSc arrays, so change flags so arrays can be deleted by PETSc */
443: c = (Mat_SeqAIJ*)(C->data);
444: c->free_a = PETSC_TRUE;
445: c->free_ij = PETSC_TRUE;
446: c->nonew = 0;
448: /* slower, less memory */
449: C->ops->matmultnumeric = MatMatMultNumeric_SeqAIJ_SeqAIJ_Scalable;
451: /* set MatInfo */
452: afill = (PetscReal)ci[am]/(ai[am]+bi[bm]) + 1.e-5;
453: if (afill < 1.0) afill = 1.0;
454: c->maxnz = ci[am];
455: c->nz = ci[am];
456: C->info.mallocs = ndouble;
457: C->info.fill_ratio_given = fill;
458: C->info.fill_ratio_needed = afill;
460: #if defined(PETSC_USE_INFO)
461: if (ci[am]) {
462: PetscInfo3(C,"Reallocs %D; Fill ratio: given %g needed %g.\n",ndouble,(double)fill,(double)afill);
463: PetscInfo1(C,"Use MatMatMult(A,B,MatReuse,%g,&C) for best performance.;\n",(double)afill);
464: } else {
465: PetscInfo(C,"Empty matrix product\n");
466: }
467: #endif
468: return(0);
469: }
471: PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Scalable(Mat A,Mat B,PetscReal fill,Mat C)
472: {
473: PetscErrorCode ierr;
474: Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data,*b=(Mat_SeqAIJ*)B->data,*c;
475: PetscInt *ai = a->i,*bi=b->i,*ci,*cj;
476: PetscInt am = A->rmap->N,bn=B->cmap->N,bm=B->rmap->N;
477: MatScalar *ca;
478: PetscReal afill;
479: PetscInt i,j,anzi,brow,bnzj,cnzi,*bj,*aj,*lnk,ndouble=0,Crmax;
480: PetscTable ta;
481: PetscFreeSpaceList free_space=NULL,current_space=NULL;
484: /* Get ci and cj - same as MatMatMultSymbolic_SeqAIJ_SeqAIJ except using PetscLLxxx_Scalalbe() */
485: /*---------------------------------------------------------------------------------------------*/
486: /* Allocate arrays for fill computation and free space for accumulating nonzero column */
487: PetscMalloc1(am+2,&ci);
488: ci[0] = 0;
490: /* create and initialize a linked list */
491: PetscTableCreate(bn,bn,&ta);
492: MatRowMergeMax_SeqAIJ(b,bm,ta);
493: PetscTableGetCount(ta,&Crmax);
494: PetscTableDestroy(&ta);
495: PetscLLCondensedCreate_Scalable(Crmax,&lnk);
497: /* Initial FreeSpace size is fill*(nnz(A)+nnz(B)) */
498: PetscFreeSpaceGet(PetscRealIntMultTruncate(fill,PetscIntSumTruncate(ai[am],bi[bm])),&free_space);
499: current_space = free_space;
501: /* Determine ci and cj */
502: for (i=0; i<am; i++) {
503: anzi = ai[i+1] - ai[i];
504: aj = a->j + ai[i];
505: for (j=0; j<anzi; j++) {
506: brow = aj[j];
507: bnzj = bi[brow+1] - bi[brow];
508: bj = b->j + bi[brow];
509: /* add non-zero cols of B into the sorted linked list lnk */
510: PetscLLCondensedAddSorted_Scalable(bnzj,bj,lnk);
511: }
512: cnzi = lnk[0];
514: /* If free space is not available, make more free space */
515: /* Double the amount of total space in the list */
516: if (current_space->local_remaining<cnzi) {
517: PetscFreeSpaceGet(PetscIntSumTruncate(cnzi,current_space->total_array_size),¤t_space);
518: ndouble++;
519: }
521: /* Copy data into free space, then initialize lnk */
522: PetscLLCondensedClean_Scalable(cnzi,current_space->array,lnk);
524: current_space->array += cnzi;
525: current_space->local_used += cnzi;
526: current_space->local_remaining -= cnzi;
528: ci[i+1] = ci[i] + cnzi;
529: }
531: /* Column indices are in the list of free space */
532: /* Allocate space for cj, initialize cj, and */
533: /* destroy list of free space and other temporary array(s) */
534: PetscMalloc1(ci[am]+1,&cj);
535: PetscFreeSpaceContiguous(&free_space,cj);
536: PetscLLCondensedDestroy_Scalable(lnk);
538: /* Allocate space for ca */
539: /*-----------------------*/
540: PetscCalloc1(ci[am]+1,&ca);
542: /* put together the new symbolic matrix */
543: MatSetSeqAIJWithArrays_private(PetscObjectComm((PetscObject)A),am,bn,ci,cj,ca,((PetscObject)A)->type_name,C);
544: MatSetBlockSizesFromMats(C,A,B);
546: /* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
547: /* These are PETSc arrays, so change flags so arrays can be deleted by PETSc */
548: c = (Mat_SeqAIJ*)(C->data);
549: c->free_a = PETSC_TRUE;
550: c->free_ij = PETSC_TRUE;
551: c->nonew = 0;
553: /* slower, less memory */
554: C->ops->matmultnumeric = MatMatMultNumeric_SeqAIJ_SeqAIJ_Scalable;
556: /* set MatInfo */
557: afill = (PetscReal)ci[am]/(ai[am]+bi[bm]) + 1.e-5;
558: if (afill < 1.0) afill = 1.0;
559: c->maxnz = ci[am];
560: c->nz = ci[am];
561: C->info.mallocs = ndouble;
562: C->info.fill_ratio_given = fill;
563: C->info.fill_ratio_needed = afill;
565: #if defined(PETSC_USE_INFO)
566: if (ci[am]) {
567: PetscInfo3(C,"Reallocs %D; Fill ratio: given %g needed %g.\n",ndouble,(double)fill,(double)afill);
568: PetscInfo1(C,"Use MatMatMult(A,B,MatReuse,%g,&C) for best performance.;\n",(double)afill);
569: } else {
570: PetscInfo(C,"Empty matrix product\n");
571: }
572: #endif
573: return(0);
574: }
576: PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Heap(Mat A,Mat B,PetscReal fill,Mat C)
577: {
578: PetscErrorCode ierr;
579: Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data,*b=(Mat_SeqAIJ*)B->data,*c;
580: const PetscInt *ai=a->i,*bi=b->i,*aj=a->j,*bj=b->j;
581: PetscInt *ci,*cj,*bb;
582: PetscInt am=A->rmap->N,bn=B->cmap->N,bm=B->rmap->N;
583: PetscReal afill;
584: PetscInt i,j,col,ndouble = 0;
585: PetscFreeSpaceList free_space=NULL,current_space=NULL;
586: PetscHeap h;
589: /* Get ci and cj - by merging sorted rows using a heap */
590: /*---------------------------------------------------------------------------------------------*/
591: /* Allocate arrays for fill computation and free space for accumulating nonzero column */
592: PetscMalloc1(am+2,&ci);
593: ci[0] = 0;
595: /* Initial FreeSpace size is fill*(nnz(A)+nnz(B)) */
596: PetscFreeSpaceGet(PetscRealIntMultTruncate(fill,PetscIntSumTruncate(ai[am],bi[bm])),&free_space);
597: current_space = free_space;
599: PetscHeapCreate(a->rmax,&h);
600: PetscMalloc1(a->rmax,&bb);
602: /* Determine ci and cj */
603: for (i=0; i<am; i++) {
604: const PetscInt anzi = ai[i+1] - ai[i]; /* number of nonzeros in this row of A, this is the number of rows of B that we merge */
605: const PetscInt *acol = aj + ai[i]; /* column indices of nonzero entries in this row */
606: ci[i+1] = ci[i];
607: /* Populate the min heap */
608: for (j=0; j<anzi; j++) {
609: bb[j] = bi[acol[j]]; /* bb points at the start of the row */
610: if (bb[j] < bi[acol[j]+1]) { /* Add if row is nonempty */
611: PetscHeapAdd(h,j,bj[bb[j]++]);
612: }
613: }
614: /* Pick off the min element, adding it to free space */
615: PetscHeapPop(h,&j,&col);
616: while (j >= 0) {
617: if (current_space->local_remaining < 1) { /* double the size, but don't exceed 16 MiB */
618: PetscFreeSpaceGet(PetscMin(PetscIntMultTruncate(2,current_space->total_array_size),16 << 20),¤t_space);
619: ndouble++;
620: }
621: *(current_space->array++) = col;
622: current_space->local_used++;
623: current_space->local_remaining--;
624: ci[i+1]++;
626: /* stash if anything else remains in this row of B */
627: if (bb[j] < bi[acol[j]+1]) {PetscHeapStash(h,j,bj[bb[j]++]);}
628: while (1) { /* pop and stash any other rows of B that also had an entry in this column */
629: PetscInt j2,col2;
630: PetscHeapPeek(h,&j2,&col2);
631: if (col2 != col) break;
632: PetscHeapPop(h,&j2,&col2);
633: if (bb[j2] < bi[acol[j2]+1]) {PetscHeapStash(h,j2,bj[bb[j2]++]);}
634: }
635: /* Put any stashed elements back into the min heap */
636: PetscHeapUnstash(h);
637: PetscHeapPop(h,&j,&col);
638: }
639: }
640: PetscFree(bb);
641: PetscHeapDestroy(&h);
643: /* Column indices are in the list of free space */
644: /* Allocate space for cj, initialize cj, and */
645: /* destroy list of free space and other temporary array(s) */
646: PetscMalloc1(ci[am],&cj);
647: PetscFreeSpaceContiguous(&free_space,cj);
649: /* put together the new symbolic matrix */
650: MatSetSeqAIJWithArrays_private(PetscObjectComm((PetscObject)A),am,bn,ci,cj,NULL,((PetscObject)A)->type_name,C);
651: MatSetBlockSizesFromMats(C,A,B);
653: /* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
654: /* These are PETSc arrays, so change flags so arrays can be deleted by PETSc */
655: c = (Mat_SeqAIJ*)(C->data);
656: c->free_a = PETSC_TRUE;
657: c->free_ij = PETSC_TRUE;
658: c->nonew = 0;
660: C->ops->matmultnumeric = MatMatMultNumeric_SeqAIJ_SeqAIJ_Sorted;
662: /* set MatInfo */
663: afill = (PetscReal)ci[am]/(ai[am]+bi[bm]) + 1.e-5;
664: if (afill < 1.0) afill = 1.0;
665: c->maxnz = ci[am];
666: c->nz = ci[am];
667: C->info.mallocs = ndouble;
668: C->info.fill_ratio_given = fill;
669: C->info.fill_ratio_needed = afill;
671: #if defined(PETSC_USE_INFO)
672: if (ci[am]) {
673: PetscInfo3(C,"Reallocs %D; Fill ratio: given %g needed %g.\n",ndouble,(double)fill,(double)afill);
674: PetscInfo1(C,"Use MatMatMult(A,B,MatReuse,%g,&C) for best performance.;\n",(double)afill);
675: } else {
676: PetscInfo(C,"Empty matrix product\n");
677: }
678: #endif
679: return(0);
680: }
682: PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_BTHeap(Mat A,Mat B,PetscReal fill,Mat C)
683: {
684: PetscErrorCode ierr;
685: Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data,*b=(Mat_SeqAIJ*)B->data,*c;
686: const PetscInt *ai = a->i,*bi=b->i,*aj=a->j,*bj=b->j;
687: PetscInt *ci,*cj,*bb;
688: PetscInt am=A->rmap->N,bn=B->cmap->N,bm=B->rmap->N;
689: PetscReal afill;
690: PetscInt i,j,col,ndouble = 0;
691: PetscFreeSpaceList free_space=NULL,current_space=NULL;
692: PetscHeap h;
693: PetscBT bt;
696: /* Get ci and cj - using a heap for the sorted rows, but use BT so that each index is only added once */
697: /*---------------------------------------------------------------------------------------------*/
698: /* Allocate arrays for fill computation and free space for accumulating nonzero column */
699: PetscMalloc1(am+2,&ci);
700: ci[0] = 0;
702: /* Initial FreeSpace size is fill*(nnz(A)+nnz(B)) */
703: PetscFreeSpaceGet(PetscRealIntMultTruncate(fill,PetscIntSumTruncate(ai[am],bi[bm])),&free_space);
705: current_space = free_space;
707: PetscHeapCreate(a->rmax,&h);
708: PetscMalloc1(a->rmax,&bb);
709: PetscBTCreate(bn,&bt);
711: /* Determine ci and cj */
712: for (i=0; i<am; i++) {
713: const PetscInt anzi = ai[i+1] - ai[i]; /* number of nonzeros in this row of A, this is the number of rows of B that we merge */
714: const PetscInt *acol = aj + ai[i]; /* column indices of nonzero entries in this row */
715: const PetscInt *fptr = current_space->array; /* Save beginning of the row so we can clear the BT later */
716: ci[i+1] = ci[i];
717: /* Populate the min heap */
718: for (j=0; j<anzi; j++) {
719: PetscInt brow = acol[j];
720: for (bb[j] = bi[brow]; bb[j] < bi[brow+1]; bb[j]++) {
721: PetscInt bcol = bj[bb[j]];
722: if (!PetscBTLookupSet(bt,bcol)) { /* new entry */
723: PetscHeapAdd(h,j,bcol);
724: bb[j]++;
725: break;
726: }
727: }
728: }
729: /* Pick off the min element, adding it to free space */
730: PetscHeapPop(h,&j,&col);
731: while (j >= 0) {
732: if (current_space->local_remaining < 1) { /* double the size, but don't exceed 16 MiB */
733: fptr = NULL; /* need PetscBTMemzero */
734: PetscFreeSpaceGet(PetscMin(PetscIntMultTruncate(2,current_space->total_array_size),16 << 20),¤t_space);
735: ndouble++;
736: }
737: *(current_space->array++) = col;
738: current_space->local_used++;
739: current_space->local_remaining--;
740: ci[i+1]++;
742: /* stash if anything else remains in this row of B */
743: for (; bb[j] < bi[acol[j]+1]; bb[j]++) {
744: PetscInt bcol = bj[bb[j]];
745: if (!PetscBTLookupSet(bt,bcol)) { /* new entry */
746: PetscHeapAdd(h,j,bcol);
747: bb[j]++;
748: break;
749: }
750: }
751: PetscHeapPop(h,&j,&col);
752: }
753: if (fptr) { /* Clear the bits for this row */
754: for (; fptr<current_space->array; fptr++) {PetscBTClear(bt,*fptr);}
755: } else { /* We reallocated so we don't remember (easily) how to clear only the bits we changed */
756: PetscBTMemzero(bn,bt);
757: }
758: }
759: PetscFree(bb);
760: PetscHeapDestroy(&h);
761: PetscBTDestroy(&bt);
763: /* Column indices are in the list of free space */
764: /* Allocate space for cj, initialize cj, and */
765: /* destroy list of free space and other temporary array(s) */
766: PetscMalloc1(ci[am],&cj);
767: PetscFreeSpaceContiguous(&free_space,cj);
769: /* put together the new symbolic matrix */
770: MatSetSeqAIJWithArrays_private(PetscObjectComm((PetscObject)A),am,bn,ci,cj,NULL,((PetscObject)A)->type_name,C);
771: MatSetBlockSizesFromMats(C,A,B);
773: /* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
774: /* These are PETSc arrays, so change flags so arrays can be deleted by PETSc */
775: c = (Mat_SeqAIJ*)(C->data);
776: c->free_a = PETSC_TRUE;
777: c->free_ij = PETSC_TRUE;
778: c->nonew = 0;
780: C->ops->matmultnumeric = MatMatMultNumeric_SeqAIJ_SeqAIJ_Sorted;
782: /* set MatInfo */
783: afill = (PetscReal)ci[am]/(ai[am]+bi[bm]) + 1.e-5;
784: if (afill < 1.0) afill = 1.0;
785: c->maxnz = ci[am];
786: c->nz = ci[am];
787: C->info.mallocs = ndouble;
788: C->info.fill_ratio_given = fill;
789: C->info.fill_ratio_needed = afill;
791: #if defined(PETSC_USE_INFO)
792: if (ci[am]) {
793: PetscInfo3(C,"Reallocs %D; Fill ratio: given %g needed %g.\n",ndouble,(double)fill,(double)afill);
794: PetscInfo1(C,"Use MatMatMult(A,B,MatReuse,%g,&C) for best performance.;\n",(double)afill);
795: } else {
796: PetscInfo(C,"Empty matrix product\n");
797: }
798: #endif
799: return(0);
800: }
803: PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_RowMerge(Mat A,Mat B,PetscReal fill,Mat C)
804: {
805: PetscErrorCode ierr;
806: Mat_SeqAIJ *a=(Mat_SeqAIJ*)A->data,*b=(Mat_SeqAIJ*)B->data,*c;
807: const PetscInt *ai=a->i,*bi=b->i,*aj=a->j,*bj=b->j,*inputi,*inputj,*inputcol,*inputcol_L1;
808: PetscInt *ci,*cj,*outputj,worki_L1[9],worki_L2[9];
809: PetscInt c_maxmem,a_maxrownnz=0,a_rownnz;
810: const PetscInt workcol[8]={0,1,2,3,4,5,6,7};
811: const PetscInt am=A->rmap->N,bn=B->cmap->N,bm=B->rmap->N;
812: const PetscInt *brow_ptr[8],*brow_end[8];
813: PetscInt window[8];
814: PetscInt window_min,old_window_min,ci_nnz,outputi_nnz=0,L1_nrows,L2_nrows;
815: PetscInt i,k,ndouble=0,L1_rowsleft,rowsleft;
816: PetscReal afill;
817: PetscInt *workj_L1,*workj_L2,*workj_L3;
818: PetscInt L1_nnz,L2_nnz;
820: /* Step 1: Get upper bound on memory required for allocation.
821: Because of the way virtual memory works,
822: only the memory pages that are actually needed will be physically allocated. */
824: PetscMalloc1(am+1,&ci);
825: for (i=0; i<am; i++) {
826: const PetscInt anzi = ai[i+1] - ai[i]; /* number of nonzeros in this row of A, this is the number of rows of B that we merge */
827: const PetscInt *acol = aj + ai[i]; /* column indices of nonzero entries in this row */
828: a_rownnz = 0;
829: for (k=0; k<anzi; ++k) {
830: a_rownnz += bi[acol[k]+1] - bi[acol[k]];
831: if (a_rownnz > bn) {
832: a_rownnz = bn;
833: break;
834: }
835: }
836: a_maxrownnz = PetscMax(a_maxrownnz, a_rownnz);
837: }
838: /* temporary work areas for merging rows */
839: PetscMalloc1(a_maxrownnz*8,&workj_L1);
840: PetscMalloc1(a_maxrownnz*8,&workj_L2);
841: PetscMalloc1(a_maxrownnz,&workj_L3);
843: /* This should be enough for almost all matrices. If not, memory is reallocated later. */
844: c_maxmem = 8*(ai[am]+bi[bm]);
845: /* Step 2: Populate pattern for C */
846: PetscMalloc1(c_maxmem,&cj);
848: ci_nnz = 0;
849: ci[0] = 0;
850: worki_L1[0] = 0;
851: worki_L2[0] = 0;
852: for (i=0; i<am; i++) {
853: const PetscInt anzi = ai[i+1] - ai[i]; /* number of nonzeros in this row of A, this is the number of rows of B that we merge */
854: const PetscInt *acol = aj + ai[i]; /* column indices of nonzero entries in this row */
855: rowsleft = anzi;
856: inputcol_L1 = acol;
857: L2_nnz = 0;
858: L2_nrows = 1; /* Number of rows to be merged on Level 3. output of L3 already exists -> initial value 1 */
859: worki_L2[1] = 0;
860: outputi_nnz = 0;
862: /* If the number of indices in C so far + the max number of columns in the next row > c_maxmem -> allocate more memory */
863: while (ci_nnz+a_maxrownnz > c_maxmem) {
864: c_maxmem *= 2;
865: ndouble++;
866: PetscRealloc(sizeof(PetscInt)*c_maxmem,&cj);
867: }
869: while (rowsleft) {
870: L1_rowsleft = PetscMin(64, rowsleft); /* In the inner loop max 64 rows of B can be merged */
871: L1_nrows = 0;
872: L1_nnz = 0;
873: inputcol = inputcol_L1;
874: inputi = bi;
875: inputj = bj;
877: /* The following macro is used to specialize for small rows in A.
878: This helps with compiler unrolling, improving performance substantially.
879: Input: inputj inputi inputcol bn
880: Output: outputj outputi_nnz */
881: #define MatMatMultSymbolic_RowMergeMacro(ANNZ) \
882: window_min = bn; \
883: outputi_nnz = 0; \
884: for (k=0; k<ANNZ; ++k) { \
885: brow_ptr[k] = inputj + inputi[inputcol[k]]; \
886: brow_end[k] = inputj + inputi[inputcol[k]+1]; \
887: window[k] = (brow_ptr[k] != brow_end[k]) ? *brow_ptr[k] : bn; \
888: window_min = PetscMin(window[k], window_min); \
889: } \
890: while (window_min < bn) { \
891: outputj[outputi_nnz++] = window_min; \
892: /* advance front and compute new minimum */ \
893: old_window_min = window_min; \
894: window_min = bn; \
895: for (k=0; k<ANNZ; ++k) { \
896: if (window[k] == old_window_min) { \
897: brow_ptr[k]++; \
898: window[k] = (brow_ptr[k] != brow_end[k]) ? *brow_ptr[k] : bn; \
899: } \
900: window_min = PetscMin(window[k], window_min); \
901: } \
902: }
904: /************** L E V E L 1 ***************/
905: /* Merge up to 8 rows of B to L1 work array*/
906: while (L1_rowsleft) {
907: outputi_nnz = 0;
908: if (anzi > 8) outputj = workj_L1 + L1_nnz; /* Level 1 rowmerge*/
909: else outputj = cj + ci_nnz; /* Merge directly to C */
911: switch (L1_rowsleft) {
912: case 1: brow_ptr[0] = inputj + inputi[inputcol[0]];
913: brow_end[0] = inputj + inputi[inputcol[0]+1];
914: for (; brow_ptr[0] != brow_end[0]; ++brow_ptr[0]) outputj[outputi_nnz++] = *brow_ptr[0]; /* copy row in b over */
915: inputcol += L1_rowsleft;
916: rowsleft -= L1_rowsleft;
917: L1_rowsleft = 0;
918: break;
919: case 2: MatMatMultSymbolic_RowMergeMacro(2);
920: inputcol += L1_rowsleft;
921: rowsleft -= L1_rowsleft;
922: L1_rowsleft = 0;
923: break;
924: case 3: MatMatMultSymbolic_RowMergeMacro(3);
925: inputcol += L1_rowsleft;
926: rowsleft -= L1_rowsleft;
927: L1_rowsleft = 0;
928: break;
929: case 4: MatMatMultSymbolic_RowMergeMacro(4);
930: inputcol += L1_rowsleft;
931: rowsleft -= L1_rowsleft;
932: L1_rowsleft = 0;
933: break;
934: case 5: MatMatMultSymbolic_RowMergeMacro(5);
935: inputcol += L1_rowsleft;
936: rowsleft -= L1_rowsleft;
937: L1_rowsleft = 0;
938: break;
939: case 6: MatMatMultSymbolic_RowMergeMacro(6);
940: inputcol += L1_rowsleft;
941: rowsleft -= L1_rowsleft;
942: L1_rowsleft = 0;
943: break;
944: case 7: MatMatMultSymbolic_RowMergeMacro(7);
945: inputcol += L1_rowsleft;
946: rowsleft -= L1_rowsleft;
947: L1_rowsleft = 0;
948: break;
949: default: MatMatMultSymbolic_RowMergeMacro(8);
950: inputcol += 8;
951: rowsleft -= 8;
952: L1_rowsleft -= 8;
953: break;
954: }
955: inputcol_L1 = inputcol;
956: L1_nnz += outputi_nnz;
957: worki_L1[++L1_nrows] = L1_nnz;
958: }
960: /********************** L E V E L 2 ************************/
961: /* Merge from L1 work array to either C or to L2 work array */
962: if (anzi > 8) {
963: inputi = worki_L1;
964: inputj = workj_L1;
965: inputcol = workcol;
966: outputi_nnz = 0;
968: if (anzi <= 64) outputj = cj + ci_nnz; /* Merge from L1 work array to C */
969: else outputj = workj_L2 + L2_nnz; /* Merge from L1 work array to L2 work array */
971: switch (L1_nrows) {
972: case 1: brow_ptr[0] = inputj + inputi[inputcol[0]];
973: brow_end[0] = inputj + inputi[inputcol[0]+1];
974: for (; brow_ptr[0] != brow_end[0]; ++brow_ptr[0]) outputj[outputi_nnz++] = *brow_ptr[0]; /* copy row in b over */
975: break;
976: case 2: MatMatMultSymbolic_RowMergeMacro(2); break;
977: case 3: MatMatMultSymbolic_RowMergeMacro(3); break;
978: case 4: MatMatMultSymbolic_RowMergeMacro(4); break;
979: case 5: MatMatMultSymbolic_RowMergeMacro(5); break;
980: case 6: MatMatMultSymbolic_RowMergeMacro(6); break;
981: case 7: MatMatMultSymbolic_RowMergeMacro(7); break;
982: case 8: MatMatMultSymbolic_RowMergeMacro(8); break;
983: default: SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatMatMult logic error: Not merging 1-8 rows from L1 work array!");
984: }
985: L2_nnz += outputi_nnz;
986: worki_L2[++L2_nrows] = L2_nnz;
988: /************************ L E V E L 3 **********************/
989: /* Merge from L2 work array to either C or to L2 work array */
990: if (anzi > 64 && (L2_nrows == 8 || rowsleft == 0)) {
991: inputi = worki_L2;
992: inputj = workj_L2;
993: inputcol = workcol;
994: outputi_nnz = 0;
995: if (rowsleft) outputj = workj_L3;
996: else outputj = cj + ci_nnz;
997: switch (L2_nrows) {
998: case 1: brow_ptr[0] = inputj + inputi[inputcol[0]];
999: brow_end[0] = inputj + inputi[inputcol[0]+1];
1000: for (; brow_ptr[0] != brow_end[0]; ++brow_ptr[0]) outputj[outputi_nnz++] = *brow_ptr[0]; /* copy row in b over */
1001: break;
1002: case 2: MatMatMultSymbolic_RowMergeMacro(2); break;
1003: case 3: MatMatMultSymbolic_RowMergeMacro(3); break;
1004: case 4: MatMatMultSymbolic_RowMergeMacro(4); break;
1005: case 5: MatMatMultSymbolic_RowMergeMacro(5); break;
1006: case 6: MatMatMultSymbolic_RowMergeMacro(6); break;
1007: case 7: MatMatMultSymbolic_RowMergeMacro(7); break;
1008: case 8: MatMatMultSymbolic_RowMergeMacro(8); break;
1009: default: SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatMatMult logic error: Not merging 1-8 rows from L2 work array!");
1010: }
1011: L2_nrows = 1;
1012: L2_nnz = outputi_nnz;
1013: worki_L2[1] = outputi_nnz;
1014: /* Copy to workj_L2 */
1015: if (rowsleft) {
1016: for (k=0; k<outputi_nnz; ++k) workj_L2[k] = outputj[k];
1017: }
1018: }
1019: }
1020: } /* while (rowsleft) */
1021: #undef MatMatMultSymbolic_RowMergeMacro
1023: /* terminate current row */
1024: ci_nnz += outputi_nnz;
1025: ci[i+1] = ci_nnz;
1026: }
1028: /* Step 3: Create the new symbolic matrix */
1029: MatSetSeqAIJWithArrays_private(PetscObjectComm((PetscObject)A),am,bn,ci,cj,NULL,((PetscObject)A)->type_name,C);
1030: MatSetBlockSizesFromMats(C,A,B);
1032: /* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
1033: /* These are PETSc arrays, so change flags so arrays can be deleted by PETSc */
1034: c = (Mat_SeqAIJ*)(C->data);
1035: c->free_a = PETSC_TRUE;
1036: c->free_ij = PETSC_TRUE;
1037: c->nonew = 0;
1039: C->ops->matmultnumeric = MatMatMultNumeric_SeqAIJ_SeqAIJ_Sorted;
1041: /* set MatInfo */
1042: afill = (PetscReal)ci[am]/(ai[am]+bi[bm]) + 1.e-5;
1043: if (afill < 1.0) afill = 1.0;
1044: c->maxnz = ci[am];
1045: c->nz = ci[am];
1046: C->info.mallocs = ndouble;
1047: C->info.fill_ratio_given = fill;
1048: C->info.fill_ratio_needed = afill;
1050: #if defined(PETSC_USE_INFO)
1051: if (ci[am]) {
1052: PetscInfo3(C,"Reallocs %D; Fill ratio: given %g needed %g.\n",ndouble,(double)fill,(double)afill);
1053: PetscInfo1(C,"Use MatMatMult(A,B,MatReuse,%g,&C) for best performance.;\n",(double)afill);
1054: } else {
1055: PetscInfo(C,"Empty matrix product\n");
1056: }
1057: #endif
1059: /* Step 4: Free temporary work areas */
1060: PetscFree(workj_L1);
1061: PetscFree(workj_L2);
1062: PetscFree(workj_L3);
1063: return(0);
1064: }
1066: /* concatenate unique entries and then sort */
1067: PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqAIJ_Sorted(Mat A,Mat B,PetscReal fill,Mat C)
1068: {
1070: Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data,*b=(Mat_SeqAIJ*)B->data,*c;
1071: const PetscInt *ai = a->i,*bi=b->i,*aj=a->j,*bj=b->j;
1072: PetscInt *ci,*cj;
1073: PetscInt am=A->rmap->N,bn=B->cmap->N,bm=B->rmap->N;
1074: PetscReal afill;
1075: PetscInt i,j,ndouble = 0;
1076: PetscSegBuffer seg,segrow;
1077: char *seen;
1080: PetscMalloc1(am+1,&ci);
1081: ci[0] = 0;
1083: /* Initial FreeSpace size is fill*(nnz(A)+nnz(B)) */
1084: PetscSegBufferCreate(sizeof(PetscInt),(PetscInt)(fill*(ai[am]+bi[bm])),&seg);
1085: PetscSegBufferCreate(sizeof(PetscInt),100,&segrow);
1086: PetscCalloc1(bn,&seen);
1088: /* Determine ci and cj */
1089: for (i=0; i<am; i++) {
1090: const PetscInt anzi = ai[i+1] - ai[i]; /* number of nonzeros in this row of A, this is the number of rows of B that we merge */
1091: const PetscInt *acol = aj + ai[i]; /* column indices of nonzero entries in this row */
1092: PetscInt packlen = 0,*PETSC_RESTRICT crow;
1093: /* Pack segrow */
1094: for (j=0; j<anzi; j++) {
1095: PetscInt brow = acol[j],bjstart = bi[brow],bjend = bi[brow+1],k;
1096: for (k=bjstart; k<bjend; k++) {
1097: PetscInt bcol = bj[k];
1098: if (!seen[bcol]) { /* new entry */
1099: PetscInt *PETSC_RESTRICT slot;
1100: PetscSegBufferGetInts(segrow,1,&slot);
1101: *slot = bcol;
1102: seen[bcol] = 1;
1103: packlen++;
1104: }
1105: }
1106: }
1107: PetscSegBufferGetInts(seg,packlen,&crow);
1108: PetscSegBufferExtractTo(segrow,crow);
1109: PetscSortInt(packlen,crow);
1110: ci[i+1] = ci[i] + packlen;
1111: for (j=0; j<packlen; j++) seen[crow[j]] = 0;
1112: }
1113: PetscSegBufferDestroy(&segrow);
1114: PetscFree(seen);
1116: /* Column indices are in the segmented buffer */
1117: PetscSegBufferExtractAlloc(seg,&cj);
1118: PetscSegBufferDestroy(&seg);
1120: /* put together the new symbolic matrix */
1121: MatSetSeqAIJWithArrays_private(PetscObjectComm((PetscObject)A),am,bn,ci,cj,NULL,((PetscObject)A)->type_name,C);
1122: MatSetBlockSizesFromMats(C,A,B);
1124: /* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
1125: /* These are PETSc arrays, so change flags so arrays can be deleted by PETSc */
1126: c = (Mat_SeqAIJ*)(C->data);
1127: c->free_a = PETSC_TRUE;
1128: c->free_ij = PETSC_TRUE;
1129: c->nonew = 0;
1131: C->ops->matmultnumeric = MatMatMultNumeric_SeqAIJ_SeqAIJ_Sorted;
1133: /* set MatInfo */
1134: afill = (PetscReal)ci[am]/PetscMax(ai[am]+bi[bm],1) + 1.e-5;
1135: if (afill < 1.0) afill = 1.0;
1136: c->maxnz = ci[am];
1137: c->nz = ci[am];
1138: C->info.mallocs = ndouble;
1139: C->info.fill_ratio_given = fill;
1140: C->info.fill_ratio_needed = afill;
1142: #if defined(PETSC_USE_INFO)
1143: if (ci[am]) {
1144: PetscInfo3(C,"Reallocs %D; Fill ratio: given %g needed %g.\n",ndouble,(double)fill,(double)afill);
1145: PetscInfo1(C,"Use MatMatMult(A,B,MatReuse,%g,&C) for best performance.;\n",(double)afill);
1146: } else {
1147: PetscInfo(C,"Empty matrix product\n");
1148: }
1149: #endif
1150: return(0);
1151: }
1153: PetscErrorCode MatDestroy_SeqAIJ_MatMatMultTrans(void *data)
1154: {
1155: PetscErrorCode ierr;
1156: Mat_MatMatTransMult *abt=(Mat_MatMatTransMult *)data;
1159: MatTransposeColoringDestroy(&abt->matcoloring);
1160: MatDestroy(&abt->Bt_den);
1161: MatDestroy(&abt->ABt_den);
1162: PetscFree(abt);
1163: return(0);
1164: }
1166: PetscErrorCode MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat C)
1167: {
1168: PetscErrorCode ierr;
1169: Mat Bt;
1170: PetscInt *bti,*btj;
1171: Mat_MatMatTransMult *abt;
1172: Mat_Product *product = C->product;
1173: char *alg;
1176: if (!product) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Missing product struct");
1177: if (product->data) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Extra product struct not empty");
1179: /* create symbolic Bt */
1180: MatGetSymbolicTranspose_SeqAIJ(B,&bti,&btj);
1181: MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,B->cmap->n,B->rmap->n,bti,btj,NULL,&Bt);
1182: MatSetBlockSizes(Bt,PetscAbs(A->cmap->bs),PetscAbs(B->cmap->bs));
1183: MatSetType(Bt,((PetscObject)A)->type_name);
1185: /* get symbolic C=A*Bt */
1186: PetscStrallocpy(product->alg,&alg);
1187: MatProductSetAlgorithm(C,"sorted"); /* set algorithm for C = A*Bt */
1188: MatMatMultSymbolic_SeqAIJ_SeqAIJ(A,Bt,fill,C);
1189: MatProductSetAlgorithm(C,alg); /* resume original algorithm for ABt product */
1190: PetscFree(alg);
1192: /* create a supporting struct for reuse intermidiate dense matrices with matcoloring */
1193: PetscNew(&abt);
1195: product->data = abt;
1196: product->destroy = MatDestroy_SeqAIJ_MatMatMultTrans;
1198: C->ops->mattransposemultnumeric = MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ;
1200: abt->usecoloring = PETSC_FALSE;
1201: PetscStrcmp(product->alg,"color",&abt->usecoloring);
1202: if (abt->usecoloring) {
1203: /* Create MatTransposeColoring from symbolic C=A*B^T */
1204: MatTransposeColoring matcoloring;
1205: MatColoring coloring;
1206: ISColoring iscoloring;
1207: Mat Bt_dense,C_dense;
1209: /* inode causes memory problem */
1210: MatSetOption(C,MAT_USE_INODES,PETSC_FALSE);
1212: MatColoringCreate(C,&coloring);
1213: MatColoringSetDistance(coloring,2);
1214: MatColoringSetType(coloring,MATCOLORINGSL);
1215: MatColoringSetFromOptions(coloring);
1216: MatColoringApply(coloring,&iscoloring);
1217: MatColoringDestroy(&coloring);
1218: MatTransposeColoringCreate(C,iscoloring,&matcoloring);
1220: abt->matcoloring = matcoloring;
1222: ISColoringDestroy(&iscoloring);
1224: /* Create Bt_dense and C_dense = A*Bt_dense */
1225: MatCreate(PETSC_COMM_SELF,&Bt_dense);
1226: MatSetSizes(Bt_dense,A->cmap->n,matcoloring->ncolors,A->cmap->n,matcoloring->ncolors);
1227: MatSetType(Bt_dense,MATSEQDENSE);
1228: MatSeqDenseSetPreallocation(Bt_dense,NULL);
1230: Bt_dense->assembled = PETSC_TRUE;
1231: abt->Bt_den = Bt_dense;
1233: MatCreate(PETSC_COMM_SELF,&C_dense);
1234: MatSetSizes(C_dense,A->rmap->n,matcoloring->ncolors,A->rmap->n,matcoloring->ncolors);
1235: MatSetType(C_dense,MATSEQDENSE);
1236: MatSeqDenseSetPreallocation(C_dense,NULL);
1238: Bt_dense->assembled = PETSC_TRUE;
1239: abt->ABt_den = C_dense;
1241: #if defined(PETSC_USE_INFO)
1242: {
1243: Mat_SeqAIJ *c = (Mat_SeqAIJ*)C->data;
1244: PetscInfo7(C,"Use coloring of C=A*B^T; B^T: %D %D, Bt_dense: %D,%D; Cnz %D / (cm*ncolors %D) = %g\n",B->cmap->n,B->rmap->n,Bt_dense->rmap->n,Bt_dense->cmap->n,c->nz,A->rmap->n*matcoloring->ncolors,(PetscReal)(c->nz)/(A->rmap->n*matcoloring->ncolors));
1245: }
1246: #endif
1247: }
1248: /* clean up */
1249: MatDestroy(&Bt);
1250: MatRestoreSymbolicTranspose_SeqAIJ(B,&bti,&btj);
1251: return(0);
1252: }
1254: PetscErrorCode MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ(Mat A,Mat B,Mat C)
1255: {
1256: PetscErrorCode ierr;
1257: Mat_SeqAIJ *a =(Mat_SeqAIJ*)A->data,*b=(Mat_SeqAIJ*)B->data,*c=(Mat_SeqAIJ*)C->data;
1258: PetscInt *ai =a->i,*aj=a->j,*bi=b->i,*bj=b->j,anzi,bnzj,nexta,nextb,*acol,*bcol,brow;
1259: PetscInt cm =C->rmap->n,*ci=c->i,*cj=c->j,i,j,cnzi,*ccol;
1260: PetscLogDouble flops=0.0;
1261: MatScalar *aa =a->a,*aval,*ba=b->a,*bval,*ca,*cval;
1262: Mat_MatMatTransMult *abt;
1263: Mat_Product *product = C->product;
1266: if (!product) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Missing product struct");
1267: abt = (Mat_MatMatTransMult *)product->data;
1268: if (!abt) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Missing product struct");
1269: /* clear old values in C */
1270: if (!c->a) {
1271: PetscCalloc1(ci[cm]+1,&ca);
1272: c->a = ca;
1273: c->free_a = PETSC_TRUE;
1274: } else {
1275: ca = c->a;
1276: PetscArrayzero(ca,ci[cm]+1);
1277: }
1279: if (abt->usecoloring) {
1280: MatTransposeColoring matcoloring = abt->matcoloring;
1281: Mat Bt_dense,C_dense = abt->ABt_den;
1283: /* Get Bt_dense by Apply MatTransposeColoring to B */
1284: Bt_dense = abt->Bt_den;
1285: MatTransColoringApplySpToDen(matcoloring,B,Bt_dense);
1287: /* C_dense = A*Bt_dense */
1288: MatMatMultNumeric_SeqAIJ_SeqDense(A,Bt_dense,C_dense);
1290: /* Recover C from C_dense */
1291: MatTransColoringApplyDenToSp(matcoloring,C_dense,C);
1292: return(0);
1293: }
1295: for (i=0; i<cm; i++) {
1296: anzi = ai[i+1] - ai[i];
1297: acol = aj + ai[i];
1298: aval = aa + ai[i];
1299: cnzi = ci[i+1] - ci[i];
1300: ccol = cj + ci[i];
1301: cval = ca + ci[i];
1302: for (j=0; j<cnzi; j++) {
1303: brow = ccol[j];
1304: bnzj = bi[brow+1] - bi[brow];
1305: bcol = bj + bi[brow];
1306: bval = ba + bi[brow];
1308: /* perform sparse inner-product c(i,j)=A[i,:]*B[j,:]^T */
1309: nexta = 0; nextb = 0;
1310: while (nexta<anzi && nextb<bnzj) {
1311: while (nexta < anzi && acol[nexta] < bcol[nextb]) nexta++;
1312: if (nexta == anzi) break;
1313: while (nextb < bnzj && acol[nexta] > bcol[nextb]) nextb++;
1314: if (nextb == bnzj) break;
1315: if (acol[nexta] == bcol[nextb]) {
1316: cval[j] += aval[nexta]*bval[nextb];
1317: nexta++; nextb++;
1318: flops += 2;
1319: }
1320: }
1321: }
1322: }
1323: MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);
1324: MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);
1325: PetscLogFlops(flops);
1326: return(0);
1327: }
1329: PetscErrorCode MatDestroy_SeqAIJ_MatTransMatMult(void *data)
1330: {
1331: PetscErrorCode ierr;
1332: Mat_MatTransMatMult *atb = (Mat_MatTransMatMult*)data;
1335: MatDestroy(&atb->At);
1336: if (atb->destroy) {
1337: (*atb->destroy)(atb->data);
1338: }
1339: PetscFree(atb);
1340: return(0);
1341: }
1343: PetscErrorCode MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat C)
1344: {
1346: Mat At = NULL;
1347: PetscInt *ati,*atj;
1348: Mat_Product *product = C->product;
1349: PetscBool flg,def,square;
1352: MatCheckProduct(C,4);
1353: square = (PetscBool)(A == B && A->symmetric && A->symmetric_set);
1354: /* outerproduct */
1355: PetscStrcmp(product->alg,"outerproduct",&flg);
1356: if (flg) {
1357: /* create symbolic At */
1358: if (!square) {
1359: MatGetSymbolicTranspose_SeqAIJ(A,&ati,&atj);
1360: MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,A->cmap->n,A->rmap->n,ati,atj,NULL,&At);
1361: MatSetBlockSizes(At,PetscAbs(A->cmap->bs),PetscAbs(B->cmap->bs));
1362: MatSetType(At,((PetscObject)A)->type_name);
1363: }
1364: /* get symbolic C=At*B */
1365: MatProductSetAlgorithm(C,"sorted");
1366: MatMatMultSymbolic_SeqAIJ_SeqAIJ(square ? A : At,B,fill,C);
1368: /* clean up */
1369: if (!square) {
1370: MatDestroy(&At);
1371: MatRestoreSymbolicTranspose_SeqAIJ(A,&ati,&atj);
1372: }
1374: C->ops->mattransposemultnumeric = MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ; /* outerproduct */
1375: MatProductSetAlgorithm(C,"outerproduct");
1376: return(0);
1377: }
1379: /* matmatmult */
1380: PetscStrcmp(product->alg,"default",&def);
1381: PetscStrcmp(product->alg,"at*b",&flg);
1382: if (flg || def) {
1383: Mat_MatTransMatMult *atb;
1385: if (product->data) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Extra product struct not empty");
1386: PetscNew(&atb);
1387: if (!square) {
1388: MatTranspose_SeqAIJ(A,MAT_INITIAL_MATRIX,&At);
1389: }
1390: MatProductSetAlgorithm(C,"sorted");
1391: MatMatMultSymbolic_SeqAIJ_SeqAIJ(square ? A : At,B,fill,C);
1392: MatProductSetAlgorithm(C,"at*b");
1393: product->data = atb;
1394: product->destroy = MatDestroy_SeqAIJ_MatTransMatMult;
1395: atb->At = At;
1396: atb->updateAt = PETSC_FALSE; /* because At is computed here */
1398: C->ops->mattransposemultnumeric = NULL; /* see MatProductNumeric_AtB_SeqAIJ_SeqAIJ */
1399: return(0);
1400: }
1402: SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Mat Product Algorithm is not supported");
1403: return(0);
1404: }
1406: PetscErrorCode MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ(Mat A,Mat B,Mat C)
1407: {
1409: Mat_SeqAIJ *a=(Mat_SeqAIJ*)A->data,*b=(Mat_SeqAIJ*)B->data,*c=(Mat_SeqAIJ*)C->data;
1410: PetscInt am=A->rmap->n,anzi,*ai=a->i,*aj=a->j,*bi=b->i,*bj,bnzi,nextb;
1411: PetscInt cm=C->rmap->n,*ci=c->i,*cj=c->j,crow,*cjj,i,j,k;
1412: PetscLogDouble flops=0.0;
1413: MatScalar *aa=a->a,*ba,*ca,*caj;
1416: if (!c->a) {
1417: PetscCalloc1(ci[cm]+1,&ca);
1419: c->a = ca;
1420: c->free_a = PETSC_TRUE;
1421: } else {
1422: ca = c->a;
1423: PetscArrayzero(ca,ci[cm]);
1424: }
1426: /* compute A^T*B using outer product (A^T)[:,i]*B[i,:] */
1427: for (i=0; i<am; i++) {
1428: bj = b->j + bi[i];
1429: ba = b->a + bi[i];
1430: bnzi = bi[i+1] - bi[i];
1431: anzi = ai[i+1] - ai[i];
1432: for (j=0; j<anzi; j++) {
1433: nextb = 0;
1434: crow = *aj++;
1435: cjj = cj + ci[crow];
1436: caj = ca + ci[crow];
1437: /* perform sparse axpy operation. Note cjj includes bj. */
1438: for (k=0; nextb<bnzi; k++) {
1439: if (cjj[k] == *(bj+nextb)) { /* ccol == bcol */
1440: caj[k] += (*aa)*(*(ba+nextb));
1441: nextb++;
1442: }
1443: }
1444: flops += 2*bnzi;
1445: aa++;
1446: }
1447: }
1449: /* Assemble the final matrix and clean up */
1450: MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);
1451: MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);
1452: PetscLogFlops(flops);
1453: return(0);
1454: }
1456: PetscErrorCode MatMatMultSymbolic_SeqAIJ_SeqDense(Mat A,Mat B,PetscReal fill,Mat C)
1457: {
1461: MatMatMultSymbolic_SeqDense_SeqDense(A,B,0.0,C);
1462: C->ops->matmultnumeric = MatMatMultNumeric_SeqAIJ_SeqDense;
1463: return(0);
1464: }
1466: PETSC_INTERN PetscErrorCode MatMatMultNumericAdd_SeqAIJ_SeqDense(Mat A,Mat B,Mat C,const PetscBool add)
1467: {
1468: Mat_SeqAIJ *a=(Mat_SeqAIJ*)A->data;
1469: Mat_SeqDense *bd=(Mat_SeqDense*)B->data;
1470: Mat_SeqDense *cd=(Mat_SeqDense*)C->data;
1471: PetscErrorCode ierr;
1472: PetscScalar *c,r1,r2,r3,r4,*c1,*c2,*c3,*c4;
1473: const PetscScalar *aa,*b,*b1,*b2,*b3,*b4,*av;
1474: const PetscInt *aj;
1475: PetscInt cm=C->rmap->n,cn=B->cmap->n,bm=bd->lda,am=A->rmap->n;
1476: PetscInt clda=cd->lda;
1477: PetscInt am4=4*clda,bm4=4*bm,col,i,j,n;
1480: if (!cm || !cn) return(0);
1481: MatSeqAIJGetArrayRead(A,&av);
1482: if (add) {
1483: MatDenseGetArray(C,&c);
1484: } else {
1485: MatDenseGetArrayWrite(C,&c);
1486: }
1487: MatDenseGetArrayRead(B,&b);
1488: b1 = b; b2 = b1 + bm; b3 = b2 + bm; b4 = b3 + bm;
1489: c1 = c; c2 = c1 + clda; c3 = c2 + clda; c4 = c3 + clda;
1490: for (col=0; col<(cn/4)*4; col += 4) { /* over columns of C */
1491: for (i=0; i<am; i++) { /* over rows of A in those columns */
1492: r1 = r2 = r3 = r4 = 0.0;
1493: n = a->i[i+1] - a->i[i];
1494: aj = a->j + a->i[i];
1495: aa = av + a->i[i];
1496: for (j=0; j<n; j++) {
1497: const PetscScalar aatmp = aa[j];
1498: const PetscInt ajtmp = aj[j];
1499: r1 += aatmp*b1[ajtmp];
1500: r2 += aatmp*b2[ajtmp];
1501: r3 += aatmp*b3[ajtmp];
1502: r4 += aatmp*b4[ajtmp];
1503: }
1504: if (add) {
1505: c1[i] += r1;
1506: c2[i] += r2;
1507: c3[i] += r3;
1508: c4[i] += r4;
1509: } else {
1510: c1[i] = r1;
1511: c2[i] = r2;
1512: c3[i] = r3;
1513: c4[i] = r4;
1514: }
1515: }
1516: b1 += bm4; b2 += bm4; b3 += bm4; b4 += bm4;
1517: c1 += am4; c2 += am4; c3 += am4; c4 += am4;
1518: }
1519: /* process remaining columns */
1520: if (col != cn) {
1521: PetscInt rc = cn-col;
1523: if (rc == 1) {
1524: for (i=0; i<am; i++) {
1525: r1 = 0.0;
1526: n = a->i[i+1] - a->i[i];
1527: aj = a->j + a->i[i];
1528: aa = av + a->i[i];
1529: for (j=0; j<n; j++) r1 += aa[j]*b1[aj[j]];
1530: if (add) c1[i] += r1;
1531: else c1[i] = r1;
1532: }
1533: } else if (rc == 2) {
1534: for (i=0; i<am; i++) {
1535: r1 = r2 = 0.0;
1536: n = a->i[i+1] - a->i[i];
1537: aj = a->j + a->i[i];
1538: aa = av + a->i[i];
1539: for (j=0; j<n; j++) {
1540: const PetscScalar aatmp = aa[j];
1541: const PetscInt ajtmp = aj[j];
1542: r1 += aatmp*b1[ajtmp];
1543: r2 += aatmp*b2[ajtmp];
1544: }
1545: if (add) {
1546: c1[i] += r1;
1547: c2[i] += r2;
1548: } else {
1549: c1[i] = r1;
1550: c2[i] = r2;
1551: }
1552: }
1553: } else {
1554: for (i=0; i<am; i++) {
1555: r1 = r2 = r3 = 0.0;
1556: n = a->i[i+1] - a->i[i];
1557: aj = a->j + a->i[i];
1558: aa = av + a->i[i];
1559: for (j=0; j<n; j++) {
1560: const PetscScalar aatmp = aa[j];
1561: const PetscInt ajtmp = aj[j];
1562: r1 += aatmp*b1[ajtmp];
1563: r2 += aatmp*b2[ajtmp];
1564: r3 += aatmp*b3[ajtmp];
1565: }
1566: if (add) {
1567: c1[i] += r1;
1568: c2[i] += r2;
1569: c3[i] += r3;
1570: } else {
1571: c1[i] = r1;
1572: c2[i] = r2;
1573: c3[i] = r3;
1574: }
1575: }
1576: }
1577: }
1578: PetscLogFlops(cn*(2.0*a->nz));
1579: if (add) {
1580: MatDenseRestoreArray(C,&c);
1581: } else {
1582: MatDenseRestoreArrayWrite(C,&c);
1583: }
1584: MatDenseRestoreArrayRead(B,&b);
1585: MatSeqAIJRestoreArrayRead(A,&av);
1586: return(0);
1587: }
1589: PetscErrorCode MatMatMultNumeric_SeqAIJ_SeqDense(Mat A,Mat B,Mat C)
1590: {
1594: if (B->rmap->n != A->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Number columns in A %D not equal rows in B %D\n",A->cmap->n,B->rmap->n);
1595: if (A->rmap->n != C->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Number rows in C %D not equal rows in A %D\n",C->rmap->n,A->rmap->n);
1596: if (B->cmap->n != C->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Number columns in B %D not equal columns in C %D\n",B->cmap->n,C->cmap->n);
1598: MatMatMultNumericAdd_SeqAIJ_SeqDense(A,B,C,PETSC_FALSE);
1599: return(0);
1600: }
1602: /* ------------------------------------------------------- */
1603: static PetscErrorCode MatProductSetFromOptions_SeqAIJ_SeqDense_AB(Mat C)
1604: {
1606: C->ops->matmultsymbolic = MatMatMultSymbolic_SeqAIJ_SeqDense;
1607: C->ops->productsymbolic = MatProductSymbolic_AB;
1608: return(0);
1609: }
1611: PETSC_INTERN PetscErrorCode MatTMatTMultSymbolic_SeqAIJ_SeqDense(Mat,Mat,PetscReal,Mat);
1613: static PetscErrorCode MatProductSetFromOptions_SeqAIJ_SeqDense_AtB(Mat C)
1614: {
1616: C->ops->transposematmultsymbolic = MatTMatTMultSymbolic_SeqAIJ_SeqDense;
1617: C->ops->productsymbolic = MatProductSymbolic_AtB;
1618: return(0);
1619: }
1621: static PetscErrorCode MatProductSetFromOptions_SeqAIJ_SeqDense_ABt(Mat C)
1622: {
1624: C->ops->mattransposemultsymbolic = MatTMatTMultSymbolic_SeqAIJ_SeqDense;
1625: C->ops->productsymbolic = MatProductSymbolic_ABt;
1626: return(0);
1627: }
1629: PETSC_INTERN PetscErrorCode MatProductSetFromOptions_SeqAIJ_SeqDense(Mat C)
1630: {
1632: Mat_Product *product = C->product;
1635: switch (product->type) {
1636: case MATPRODUCT_AB:
1637: MatProductSetFromOptions_SeqAIJ_SeqDense_AB(C);
1638: break;
1639: case MATPRODUCT_AtB:
1640: MatProductSetFromOptions_SeqAIJ_SeqDense_AtB(C);
1641: break;
1642: case MATPRODUCT_ABt:
1643: MatProductSetFromOptions_SeqAIJ_SeqDense_ABt(C);
1644: break;
1645: default:
1646: break;
1647: }
1648: return(0);
1649: }
1650: /* ------------------------------------------------------- */
1651: static PetscErrorCode MatProductSetFromOptions_SeqXBAIJ_SeqDense_AB(Mat C)
1652: {
1654: Mat_Product *product = C->product;
1655: Mat A = product->A;
1656: PetscBool baij;
1659: PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&baij);
1660: if (!baij) { /* A is seqsbaij */
1661: PetscBool sbaij;
1662: PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&sbaij);
1663: if (!sbaij) SETERRQ(PetscObjectComm((PetscObject)C),PETSC_ERR_ARG_WRONGSTATE,"Mat must be either seqbaij or seqsbaij format");
1665: C->ops->matmultsymbolic = MatMatMultSymbolic_SeqSBAIJ_SeqDense;
1666: } else { /* A is seqbaij */
1667: C->ops->matmultsymbolic = MatMatMultSymbolic_SeqBAIJ_SeqDense;
1668: }
1670: C->ops->productsymbolic = MatProductSymbolic_AB;
1671: return(0);
1672: }
1674: PETSC_INTERN PetscErrorCode MatProductSetFromOptions_SeqXBAIJ_SeqDense(Mat C)
1675: {
1677: Mat_Product *product = C->product;
1680: MatCheckProduct(C,1);
1681: if (!product->A) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Missing A");
1682: if (product->type == MATPRODUCT_AB || (product->type == MATPRODUCT_AtB && product->A->symmetric)) {
1683: MatProductSetFromOptions_SeqXBAIJ_SeqDense_AB(C);
1684: }
1685: return(0);
1686: }
1688: /* ------------------------------------------------------- */
1689: static PetscErrorCode MatProductSetFromOptions_SeqDense_SeqAIJ_AB(Mat C)
1690: {
1692: C->ops->matmultsymbolic = MatMatMultSymbolic_SeqDense_SeqAIJ;
1693: C->ops->productsymbolic = MatProductSymbolic_AB;
1694: return(0);
1695: }
1697: PETSC_INTERN PetscErrorCode MatProductSetFromOptions_SeqDense_SeqAIJ(Mat C)
1698: {
1700: Mat_Product *product = C->product;
1703: if (product->type == MATPRODUCT_AB) {
1704: MatProductSetFromOptions_SeqDense_SeqAIJ_AB(C);
1705: }
1706: return(0);
1707: }
1708: /* ------------------------------------------------------- */
1710: PetscErrorCode MatTransColoringApplySpToDen_SeqAIJ(MatTransposeColoring coloring,Mat B,Mat Btdense)
1711: {
1713: Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
1714: Mat_SeqDense *btdense = (Mat_SeqDense*)Btdense->data;
1715: PetscInt *bi = b->i,*bj=b->j;
1716: PetscInt m = Btdense->rmap->n,n=Btdense->cmap->n,j,k,l,col,anz,*btcol,brow,ncolumns;
1717: MatScalar *btval,*btval_den,*ba=b->a;
1718: PetscInt *columns=coloring->columns,*colorforcol=coloring->colorforcol,ncolors=coloring->ncolors;
1721: btval_den=btdense->v;
1722: PetscArrayzero(btval_den,m*n);
1723: for (k=0; k<ncolors; k++) {
1724: ncolumns = coloring->ncolumns[k];
1725: for (l=0; l<ncolumns; l++) { /* insert a row of B to a column of Btdense */
1726: col = *(columns + colorforcol[k] + l);
1727: btcol = bj + bi[col];
1728: btval = ba + bi[col];
1729: anz = bi[col+1] - bi[col];
1730: for (j=0; j<anz; j++) {
1731: brow = btcol[j];
1732: btval_den[brow] = btval[j];
1733: }
1734: }
1735: btval_den += m;
1736: }
1737: return(0);
1738: }
1740: PetscErrorCode MatTransColoringApplyDenToSp_SeqAIJ(MatTransposeColoring matcoloring,Mat Cden,Mat Csp)
1741: {
1742: PetscErrorCode ierr;
1743: Mat_SeqAIJ *csp = (Mat_SeqAIJ*)Csp->data;
1744: const PetscScalar *ca_den,*ca_den_ptr;
1745: PetscScalar *ca=csp->a;
1746: PetscInt k,l,m=Cden->rmap->n,ncolors=matcoloring->ncolors;
1747: PetscInt brows=matcoloring->brows,*den2sp=matcoloring->den2sp;
1748: PetscInt nrows,*row,*idx;
1749: PetscInt *rows=matcoloring->rows,*colorforrow=matcoloring->colorforrow;
1752: MatDenseGetArrayRead(Cden,&ca_den);
1754: if (brows > 0) {
1755: PetscInt *lstart,row_end,row_start;
1756: lstart = matcoloring->lstart;
1757: PetscArrayzero(lstart,ncolors);
1759: row_end = brows;
1760: if (row_end > m) row_end = m;
1761: for (row_start=0; row_start<m; row_start+=brows) { /* loop over row blocks of Csp */
1762: ca_den_ptr = ca_den;
1763: for (k=0; k<ncolors; k++) { /* loop over colors (columns of Cden) */
1764: nrows = matcoloring->nrows[k];
1765: row = rows + colorforrow[k];
1766: idx = den2sp + colorforrow[k];
1767: for (l=lstart[k]; l<nrows; l++) {
1768: if (row[l] >= row_end) {
1769: lstart[k] = l;
1770: break;
1771: } else {
1772: ca[idx[l]] = ca_den_ptr[row[l]];
1773: }
1774: }
1775: ca_den_ptr += m;
1776: }
1777: row_end += brows;
1778: if (row_end > m) row_end = m;
1779: }
1780: } else { /* non-blocked impl: loop over columns of Csp - slow if Csp is large */
1781: ca_den_ptr = ca_den;
1782: for (k=0; k<ncolors; k++) {
1783: nrows = matcoloring->nrows[k];
1784: row = rows + colorforrow[k];
1785: idx = den2sp + colorforrow[k];
1786: for (l=0; l<nrows; l++) {
1787: ca[idx[l]] = ca_den_ptr[row[l]];
1788: }
1789: ca_den_ptr += m;
1790: }
1791: }
1793: MatDenseRestoreArrayRead(Cden,&ca_den);
1794: #if defined(PETSC_USE_INFO)
1795: if (matcoloring->brows > 0) {
1796: PetscInfo1(Csp,"Loop over %D row blocks for den2sp\n",brows);
1797: } else {
1798: PetscInfo(Csp,"Loop over colors/columns of Cden, inefficient for large sparse matrix product \n");
1799: }
1800: #endif
1801: return(0);
1802: }
1804: PetscErrorCode MatTransposeColoringCreate_SeqAIJ(Mat mat,ISColoring iscoloring,MatTransposeColoring c)
1805: {
1807: PetscInt i,n,nrows,Nbs,j,k,m,ncols,col,cm;
1808: const PetscInt *is,*ci,*cj,*row_idx;
1809: PetscInt nis = iscoloring->n,*rowhit,bs = 1;
1810: IS *isa;
1811: Mat_SeqAIJ *csp = (Mat_SeqAIJ*)mat->data;
1812: PetscInt *colorforrow,*rows,*rows_i,*idxhit,*spidx,*den2sp,*den2sp_i;
1813: PetscInt *colorforcol,*columns,*columns_i,brows;
1814: PetscBool flg;
1817: ISColoringGetIS(iscoloring,PETSC_USE_POINTER,PETSC_IGNORE,&isa);
1819: /* bs >1 is not being tested yet! */
1820: Nbs = mat->cmap->N/bs;
1821: c->M = mat->rmap->N/bs; /* set total rows, columns and local rows */
1822: c->N = Nbs;
1823: c->m = c->M;
1824: c->rstart = 0;
1825: c->brows = 100;
1827: c->ncolors = nis;
1828: PetscMalloc3(nis,&c->ncolumns,nis,&c->nrows,nis+1,&colorforrow);
1829: PetscMalloc1(csp->nz+1,&rows);
1830: PetscMalloc1(csp->nz+1,&den2sp);
1832: brows = c->brows;
1833: PetscOptionsGetInt(NULL,NULL,"-matden2sp_brows",&brows,&flg);
1834: if (flg) c->brows = brows;
1835: if (brows > 0) {
1836: PetscMalloc1(nis+1,&c->lstart);
1837: }
1839: colorforrow[0] = 0;
1840: rows_i = rows;
1841: den2sp_i = den2sp;
1843: PetscMalloc1(nis+1,&colorforcol);
1844: PetscMalloc1(Nbs+1,&columns);
1846: colorforcol[0] = 0;
1847: columns_i = columns;
1849: /* get column-wise storage of mat */
1850: MatGetColumnIJ_SeqAIJ_Color(mat,0,PETSC_FALSE,PETSC_FALSE,&ncols,&ci,&cj,&spidx,NULL);
1852: cm = c->m;
1853: PetscMalloc1(cm+1,&rowhit);
1854: PetscMalloc1(cm+1,&idxhit);
1855: for (i=0; i<nis; i++) { /* loop over color */
1856: ISGetLocalSize(isa[i],&n);
1857: ISGetIndices(isa[i],&is);
1859: c->ncolumns[i] = n;
1860: if (n) {
1861: PetscArraycpy(columns_i,is,n);
1862: }
1863: colorforcol[i+1] = colorforcol[i] + n;
1864: columns_i += n;
1866: /* fast, crude version requires O(N*N) work */
1867: PetscArrayzero(rowhit,cm);
1869: for (j=0; j<n; j++) { /* loop over columns*/
1870: col = is[j];
1871: row_idx = cj + ci[col];
1872: m = ci[col+1] - ci[col];
1873: for (k=0; k<m; k++) { /* loop over columns marking them in rowhit */
1874: idxhit[*row_idx] = spidx[ci[col] + k];
1875: rowhit[*row_idx++] = col + 1;
1876: }
1877: }
1878: /* count the number of hits */
1879: nrows = 0;
1880: for (j=0; j<cm; j++) {
1881: if (rowhit[j]) nrows++;
1882: }
1883: c->nrows[i] = nrows;
1884: colorforrow[i+1] = colorforrow[i] + nrows;
1886: nrows = 0;
1887: for (j=0; j<cm; j++) { /* loop over rows */
1888: if (rowhit[j]) {
1889: rows_i[nrows] = j;
1890: den2sp_i[nrows] = idxhit[j];
1891: nrows++;
1892: }
1893: }
1894: den2sp_i += nrows;
1896: ISRestoreIndices(isa[i],&is);
1897: rows_i += nrows;
1898: }
1899: MatRestoreColumnIJ_SeqAIJ_Color(mat,0,PETSC_FALSE,PETSC_FALSE,&ncols,&ci,&cj,&spidx,NULL);
1900: PetscFree(rowhit);
1901: ISColoringRestoreIS(iscoloring,PETSC_USE_POINTER,&isa);
1902: if (csp->nz != colorforrow[nis]) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"csp->nz %d != colorforrow[nis] %d",csp->nz,colorforrow[nis]);
1904: c->colorforrow = colorforrow;
1905: c->rows = rows;
1906: c->den2sp = den2sp;
1907: c->colorforcol = colorforcol;
1908: c->columns = columns;
1910: PetscFree(idxhit);
1911: return(0);
1912: }
1914: /* --------------------------------------------------------------- */
1915: static PetscErrorCode MatProductNumeric_AtB_SeqAIJ_SeqAIJ(Mat C)
1916: {
1918: Mat_Product *product = C->product;
1919: Mat A=product->A,B=product->B;
1922: if (C->ops->mattransposemultnumeric) {
1923: /* Alg: "outerproduct" */
1924: (*C->ops->mattransposemultnumeric)(A,B,C);
1925: } else {
1926: /* Alg: "matmatmult" -- C = At*B */
1927: Mat_MatTransMatMult *atb = (Mat_MatTransMatMult *)product->data;
1928: Mat At;
1930: if (!atb) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Missing product struct");
1931: At = atb->At;
1932: if (atb->updateAt && At) { /* At is computed in MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ() */
1933: MatTranspose_SeqAIJ(A,MAT_REUSE_MATRIX,&At);
1934: }
1935: MatMatMultNumeric_SeqAIJ_SeqAIJ(At ? At : A,B,C);
1936: atb->updateAt = PETSC_TRUE;
1937: }
1938: return(0);
1939: }
1941: static PetscErrorCode MatProductSymbolic_AtB_SeqAIJ_SeqAIJ(Mat C)
1942: {
1944: Mat_Product *product = C->product;
1945: Mat A=product->A,B=product->B;
1946: PetscReal fill=product->fill;
1949: MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ(A,B,fill,C);
1951: C->ops->productnumeric = MatProductNumeric_AtB_SeqAIJ_SeqAIJ;
1952: return(0);
1953: }
1955: /* --------------------------------------------------------------- */
1956: static PetscErrorCode MatProductSetFromOptions_SeqAIJ_AB(Mat C)
1957: {
1959: Mat_Product *product = C->product;
1960: PetscInt alg = 0; /* default algorithm */
1961: PetscBool flg = PETSC_FALSE;
1962: #if !defined(PETSC_HAVE_HYPRE)
1963: const char *algTypes[7] = {"sorted","scalable","scalable_fast","heap","btheap","llcondensed","rowmerge"};
1964: PetscInt nalg = 7;
1965: #else
1966: const char *algTypes[8] = {"sorted","scalable","scalable_fast","heap","btheap","llcondensed","rowmerge","hypre"};
1967: PetscInt nalg = 8;
1968: #endif
1971: /* Set default algorithm */
1972: PetscStrcmp(C->product->alg,"default",&flg);
1973: if (flg) {
1974: MatProductSetAlgorithm(C,(MatProductAlgorithm)algTypes[alg]);
1975: }
1977: /* Get runtime option */
1978: if (product->api_user) {
1979: PetscOptionsBegin(PetscObjectComm((PetscObject)C),((PetscObject)C)->prefix,"MatMatMult","Mat");
1980: PetscOptionsEList("-matmatmult_via","Algorithmic approach","MatMatMult",algTypes,nalg,algTypes[0],&alg,&flg);
1981: PetscOptionsEnd();
1982: } else {
1983: PetscOptionsBegin(PetscObjectComm((PetscObject)C),((PetscObject)C)->prefix,"MatProduct_AB","Mat");
1984: PetscOptionsEList("-matproduct_ab_via","Algorithmic approach","MatProduct_AB",algTypes,nalg,algTypes[0],&alg,&flg);
1985: PetscOptionsEnd();
1986: }
1987: if (flg) {
1988: MatProductSetAlgorithm(C,(MatProductAlgorithm)algTypes[alg]);
1989: }
1991: C->ops->productsymbolic = MatProductSymbolic_AB;
1992: C->ops->matmultsymbolic = MatMatMultSymbolic_SeqAIJ_SeqAIJ;
1993: return(0);
1994: }
1996: static PetscErrorCode MatProductSetFromOptions_SeqAIJ_AtB(Mat C)
1997: {
1999: Mat_Product *product = C->product;
2000: PetscInt alg = 0; /* default algorithm */
2001: PetscBool flg = PETSC_FALSE;
2002: const char *algTypes[3] = {"default","at*b","outerproduct"};
2003: PetscInt nalg = 3;
2006: /* Get runtime option */
2007: if (product->api_user) {
2008: PetscOptionsBegin(PetscObjectComm((PetscObject)C),((PetscObject)C)->prefix,"MatTransposeMatMult","Mat");
2009: PetscOptionsEList("-mattransposematmult_via","Algorithmic approach","MatTransposeMatMult",algTypes,nalg,algTypes[alg],&alg,&flg);
2010: PetscOptionsEnd();
2011: } else {
2012: PetscOptionsBegin(PetscObjectComm((PetscObject)C),((PetscObject)C)->prefix,"MatProduct_AtB","Mat");
2013: PetscOptionsEList("-matproduct_atb_via","Algorithmic approach","MatProduct_AtB",algTypes,nalg,algTypes[alg],&alg,&flg);
2014: PetscOptionsEnd();
2015: }
2016: if (flg) {
2017: MatProductSetAlgorithm(C,(MatProductAlgorithm)algTypes[alg]);
2018: }
2020: C->ops->productsymbolic = MatProductSymbolic_AtB_SeqAIJ_SeqAIJ;
2021: return(0);
2022: }
2024: static PetscErrorCode MatProductSetFromOptions_SeqAIJ_ABt(Mat C)
2025: {
2027: Mat_Product *product = C->product;
2028: PetscInt alg = 0; /* default algorithm */
2029: PetscBool flg = PETSC_FALSE;
2030: const char *algTypes[2] = {"default","color"};
2031: PetscInt nalg = 2;
2034: /* Set default algorithm */
2035: PetscStrcmp(C->product->alg,"default",&flg);
2036: if (!flg) {
2037: alg = 1;
2038: MatProductSetAlgorithm(C,(MatProductAlgorithm)algTypes[alg]);
2039: }
2041: /* Get runtime option */
2042: if (product->api_user) {
2043: PetscOptionsBegin(PetscObjectComm((PetscObject)C),((PetscObject)C)->prefix,"MatMatTransposeMult","Mat");
2044: PetscOptionsEList("-matmattransmult_via","Algorithmic approach","MatMatTransposeMult",algTypes,nalg,algTypes[alg],&alg,&flg);
2045: PetscOptionsEnd();
2046: } else {
2047: PetscOptionsBegin(PetscObjectComm((PetscObject)C),((PetscObject)C)->prefix,"MatProduct_ABt","Mat");
2048: PetscOptionsEList("-matproduct_abt_via","Algorithmic approach","MatProduct_ABt",algTypes,nalg,algTypes[alg],&alg,&flg);
2049: PetscOptionsEnd();
2050: }
2051: if (flg) {
2052: MatProductSetAlgorithm(C,(MatProductAlgorithm)algTypes[alg]);
2053: }
2055: C->ops->mattransposemultsymbolic = MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ;
2056: C->ops->productsymbolic = MatProductSymbolic_ABt;
2057: return(0);
2058: }
2060: static PetscErrorCode MatProductSetFromOptions_SeqAIJ_PtAP(Mat C)
2061: {
2063: Mat_Product *product = C->product;
2064: PetscBool flg = PETSC_FALSE;
2065: PetscInt alg = 0; /* default algorithm -- alg=1 should be default!!! */
2066: #if !defined(PETSC_HAVE_HYPRE)
2067: const char *algTypes[2] = {"scalable","rap"};
2068: PetscInt nalg = 2;
2069: #else
2070: const char *algTypes[3] = {"scalable","rap","hypre"};
2071: PetscInt nalg = 3;
2072: #endif
2075: /* Set default algorithm */
2076: PetscStrcmp(product->alg,"default",&flg);
2077: if (flg) {
2078: MatProductSetAlgorithm(C,(MatProductAlgorithm)algTypes[alg]);
2079: }
2081: /* Get runtime option */
2082: if (product->api_user) {
2083: PetscOptionsBegin(PetscObjectComm((PetscObject)C),((PetscObject)C)->prefix,"MatPtAP","Mat");
2084: PetscOptionsEList("-matptap_via","Algorithmic approach","MatPtAP",algTypes,nalg,algTypes[0],&alg,&flg);
2085: PetscOptionsEnd();
2086: } else {
2087: PetscOptionsBegin(PetscObjectComm((PetscObject)C),((PetscObject)C)->prefix,"MatProduct_PtAP","Mat");
2088: PetscOptionsEList("-matproduct_ptap_via","Algorithmic approach","MatProduct_PtAP",algTypes,nalg,algTypes[0],&alg,&flg);
2089: PetscOptionsEnd();
2090: }
2091: if (flg) {
2092: MatProductSetAlgorithm(C,(MatProductAlgorithm)algTypes[alg]);
2093: }
2095: C->ops->productsymbolic = MatProductSymbolic_PtAP_SeqAIJ_SeqAIJ;
2096: return(0);
2097: }
2099: static PetscErrorCode MatProductSetFromOptions_SeqAIJ_RARt(Mat C)
2100: {
2102: Mat_Product *product = C->product;
2103: PetscBool flg = PETSC_FALSE;
2104: PetscInt alg = 0; /* default algorithm */
2105: const char *algTypes[3] = {"r*a*rt","r*art","coloring_rart"};
2106: PetscInt nalg = 3;
2109: /* Set default algorithm */
2110: PetscStrcmp(product->alg,"default",&flg);
2111: if (flg) {
2112: MatProductSetAlgorithm(C,(MatProductAlgorithm)algTypes[alg]);
2113: }
2115: /* Get runtime option */
2116: if (product->api_user) {
2117: PetscOptionsBegin(PetscObjectComm((PetscObject)C),((PetscObject)C)->prefix,"MatRARt","Mat");
2118: PetscOptionsEList("-matrart_via","Algorithmic approach","MatRARt",algTypes,nalg,algTypes[0],&alg,&flg);
2119: PetscOptionsEnd();
2120: } else {
2121: PetscOptionsBegin(PetscObjectComm((PetscObject)C),((PetscObject)C)->prefix,"MatProduct_RARt","Mat");
2122: PetscOptionsEList("-matproduct_rart_via","Algorithmic approach","MatProduct_RARt",algTypes,nalg,algTypes[0],&alg,&flg);
2123: PetscOptionsEnd();
2124: }
2125: if (flg) {
2126: MatProductSetAlgorithm(C,(MatProductAlgorithm)algTypes[alg]);
2127: }
2129: C->ops->productsymbolic = MatProductSymbolic_RARt_SeqAIJ_SeqAIJ;
2130: return(0);
2131: }
2133: /* ABC = A*B*C = A*(B*C); ABC's algorithm must be chosen from AB's algorithm */
2134: static PetscErrorCode MatProductSetFromOptions_SeqAIJ_ABC(Mat C)
2135: {
2137: Mat_Product *product = C->product;
2138: PetscInt alg = 0; /* default algorithm */
2139: PetscBool flg = PETSC_FALSE;
2140: const char *algTypes[7] = {"sorted","scalable","scalable_fast","heap","btheap","llcondensed","rowmerge"};
2141: PetscInt nalg = 7;
2144: /* Set default algorithm */
2145: PetscStrcmp(product->alg,"default",&flg);
2146: if (flg) {
2147: MatProductSetAlgorithm(C,(MatProductAlgorithm)algTypes[alg]);
2148: }
2150: /* Get runtime option */
2151: if (product->api_user) {
2152: PetscOptionsBegin(PetscObjectComm((PetscObject)C),((PetscObject)C)->prefix,"MatMatMatMult","Mat");
2153: PetscOptionsEList("-matmatmatmult_via","Algorithmic approach","MatMatMatMult",algTypes,nalg,algTypes[alg],&alg,&flg);
2154: PetscOptionsEnd();
2155: } else {
2156: PetscOptionsBegin(PetscObjectComm((PetscObject)C),((PetscObject)C)->prefix,"MatProduct_ABC","Mat");
2157: PetscOptionsEList("-matproduct_abc_via","Algorithmic approach","MatProduct_ABC",algTypes,nalg,algTypes[alg],&alg,&flg);
2158: PetscOptionsEnd();
2159: }
2160: if (flg) {
2161: MatProductSetAlgorithm(C,(MatProductAlgorithm)algTypes[alg]);
2162: }
2164: C->ops->matmatmultsymbolic = MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ;
2165: C->ops->productsymbolic = MatProductSymbolic_ABC;
2166: return(0);
2167: }
2169: PetscErrorCode MatProductSetFromOptions_SeqAIJ(Mat C)
2170: {
2172: Mat_Product *product = C->product;
2175: switch (product->type) {
2176: case MATPRODUCT_AB:
2177: MatProductSetFromOptions_SeqAIJ_AB(C);
2178: break;
2179: case MATPRODUCT_AtB:
2180: MatProductSetFromOptions_SeqAIJ_AtB(C);
2181: break;
2182: case MATPRODUCT_ABt:
2183: MatProductSetFromOptions_SeqAIJ_ABt(C);
2184: break;
2185: case MATPRODUCT_PtAP:
2186: MatProductSetFromOptions_SeqAIJ_PtAP(C);
2187: break;
2188: case MATPRODUCT_RARt:
2189: MatProductSetFromOptions_SeqAIJ_RARt(C);
2190: break;
2191: case MATPRODUCT_ABC:
2192: MatProductSetFromOptions_SeqAIJ_ABC(C);
2193: break;
2194: default:
2195: break;
2196: }
2197: return(0);
2198: }