1 2 /* 3 Defines matrix-matrix product routines for pairs of MPIAIJ matrices 4 C = A * B 5 */ 6 #include <../src/mat/impls/aij/seq/aij.h> /*I "petscmat.h" I*/ 7 #include <../src/mat/utils/freespace.h> 8 #include <../src/mat/impls/aij/mpi/mpiaij.h> 9 #include <petscbt.h> 10 #include <../src/mat/impls/dense/mpi/mpidense.h> 11 12 #undef __FUNCT__ 13 #define __FUNCT__ "MatMatMult_MPIAIJ_MPIAIJ" 14 PetscErrorCode MatMatMult_MPIAIJ_MPIAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill, Mat *C) 15 { 16 PetscErrorCode ierr; 17 18 PetscFunctionBegin; 19 if (scall == MAT_INITIAL_MATRIX){ 20 ierr = MatMatMultSymbolic_MPIAIJ_MPIAIJ(A,B,fill,C);CHKERRQ(ierr);/* numeric product is computed as well */ 21 } else if (scall == MAT_REUSE_MATRIX){ 22 ierr = MatMatMultNumeric_MPIAIJ_MPIAIJ(A,B,*C);CHKERRQ(ierr); 23 } else { 24 SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid MatReuse %d",(int)scall); 25 } 26 PetscFunctionReturn(0); 27 } 28 29 #undef __FUNCT__ 30 #define __FUNCT__ "PetscContainerDestroy_Mat_MatMatMultMPI" 31 PetscErrorCode PetscContainerDestroy_Mat_MatMatMultMPI(void *ptr) 32 { 33 PetscErrorCode ierr; 34 Mat_MatMatMultMPI *mult=(Mat_MatMatMultMPI*)ptr; 35 36 PetscFunctionBegin; 37 ierr = PetscFree2(mult->startsj,mult->startsj_r);CHKERRQ(ierr); 38 ierr = PetscFree(mult->bufa);CHKERRQ(ierr); 39 ierr = ISDestroy(&mult->isrowa);CHKERRQ(ierr); 40 ierr = ISDestroy(&mult->isrowb);CHKERRQ(ierr); 41 ierr = ISDestroy(&mult->iscolb);CHKERRQ(ierr); 42 ierr = MatDestroy(&mult->C_seq);CHKERRQ(ierr); 43 ierr = MatDestroy(&mult->A_loc);CHKERRQ(ierr); 44 ierr = MatDestroy(&mult->B_seq);CHKERRQ(ierr); 45 ierr = MatDestroy(&mult->B_loc);CHKERRQ(ierr); 46 ierr = MatDestroy(&mult->B_oth);CHKERRQ(ierr); 47 ierr = PetscFree(mult->abi);CHKERRQ(ierr); 48 ierr = PetscFree(mult->abj);CHKERRQ(ierr); 49 ierr = PetscFree(mult);CHKERRQ(ierr); 50 PetscFunctionReturn(0); 51 } 52 53 extern PetscErrorCode MatDestroy_AIJ(Mat); 54 #undef __FUNCT__ 55 #define __FUNCT__ "MatDestroy_MPIAIJ_MatMatMult" 56 PetscErrorCode MatDestroy_MPIAIJ_MatMatMult(Mat A) 57 { 58 PetscErrorCode ierr; 59 PetscContainer container; 60 Mat_MatMatMultMPI *mult=PETSC_NULL; 61 62 PetscFunctionBegin; 63 ierr = PetscObjectQuery((PetscObject)A,"Mat_MatMatMultMPI",(PetscObject *)&container);CHKERRQ(ierr); 64 if (!container) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Container does not exit"); 65 ierr = PetscContainerGetPointer(container,(void **)&mult);CHKERRQ(ierr); 66 A->ops->destroy = mult->destroy; 67 A->ops->duplicate = mult->duplicate; 68 if (A->ops->destroy) { 69 ierr = (*A->ops->destroy)(A);CHKERRQ(ierr); 70 } 71 ierr = PetscObjectCompose((PetscObject)A,"Mat_MatMatMultMPI",0);CHKERRQ(ierr); 72 PetscFunctionReturn(0); 73 } 74 75 #undef __FUNCT__ 76 #define __FUNCT__ "MatDuplicate_MPIAIJ_MatMatMult" 77 PetscErrorCode MatDuplicate_MPIAIJ_MatMatMult(Mat A, MatDuplicateOption op, Mat *M) 78 { 79 PetscErrorCode ierr; 80 Mat_MatMatMultMPI *mult; 81 PetscContainer container; 82 83 PetscFunctionBegin; 84 ierr = PetscObjectQuery((PetscObject)A,"Mat_MatMatMultMPI",(PetscObject *)&container);CHKERRQ(ierr); 85 if (!container) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Container does not exit"); 86 ierr = PetscContainerGetPointer(container,(void **)&mult);CHKERRQ(ierr); 87 /* Note: the container is not duplicated, because it requires deep copying of 88 several large data sets (see PetscContainerDestroy_Mat_MatMatMultMPI()). 89 These data sets are only used for repeated calling of MatMatMultNumeric(). 90 *M is unlikely being used in this way. Thus we create *M with pure mpiaij format */ 91 ierr = (*mult->duplicate)(A,op,M);CHKERRQ(ierr); 92 (*M)->ops->destroy = mult->destroy; /* = MatDestroy_MPIAIJ, *M doesn't duplicate A's container! */ 93 (*M)->ops->duplicate = mult->duplicate; /* = MatDuplicate_MPIAIJ */ 94 PetscFunctionReturn(0); 95 } 96 97 #undef __FUNCT__ 98 #define __FUNCT__ "MatMatMultSymbolic_MPIAIJ_MPIAIJ" 99 PetscErrorCode MatMatMultSymbolic_MPIAIJ_MPIAIJ(Mat A,Mat B,PetscReal fill,Mat *C) 100 { 101 PetscErrorCode ierr; 102 Mat_MatMatMultMPI *mult; 103 PetscContainer container; 104 Mat AB,*seq; 105 Mat_MPIAIJ *a=(Mat_MPIAIJ*)A->data; 106 PetscInt *idx,i,start,ncols,nzA,nzB,*cmap,imark; 107 108 PetscFunctionBegin; 109 if (A->cmap->rstart != B->rmap->rstart || A->cmap->rend != B->rmap->rend){ 110 SETERRQ4(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrix local dimensions are incompatible, (%D, %D) != (%D,%D)",A->cmap->rstart,A->cmap->rend,B->rmap->rstart,B->rmap->rend); 111 } 112 ierr = PetscNew(Mat_MatMatMultMPI,&mult);CHKERRQ(ierr); 113 114 /* get isrowb: nonzero col of A */ 115 start = A->cmap->rstart; 116 cmap = a->garray; 117 nzA = a->A->cmap->n; 118 nzB = a->B->cmap->n; 119 ierr = PetscMalloc((nzA+nzB)*sizeof(PetscInt), &idx);CHKERRQ(ierr); 120 ncols = 0; 121 for (i=0; i<nzB; i++) { /* row < local row index */ 122 if (cmap[i] < start) idx[ncols++] = cmap[i]; 123 else break; 124 } 125 imark = i; 126 for (i=0; i<nzA; i++) idx[ncols++] = start + i; /* local rows */ 127 for (i=imark; i<nzB; i++) idx[ncols++] = cmap[i]; /* row > local row index */ 128 ierr = ISCreateGeneral(PETSC_COMM_SELF,ncols,idx,PETSC_OWN_POINTER,&mult->isrowb);CHKERRQ(ierr); 129 ierr = ISCreateStride(PETSC_COMM_SELF,B->cmap->N,0,1,&mult->iscolb);CHKERRQ(ierr); 130 131 /* get isrowa: all local rows of A */ 132 ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->n,A->rmap->rstart,1,&mult->isrowa);CHKERRQ(ierr); 133 134 /* Below should go to MatMatMultNumeric_MPIAIJ_MPIAIJ() - How to generate C there? */ 135 /* create a seq matrix B_seq = submatrix of B by taking rows of B that equal to nonzero col of A */ 136 ierr = MatGetSubMatrices(B,1,&mult->isrowb,&mult->iscolb,MAT_INITIAL_MATRIX,&seq);CHKERRQ(ierr); 137 mult->B_seq = *seq; 138 ierr = PetscFree(seq);CHKERRQ(ierr); 139 140 /* create a seq matrix A_seq = submatrix of A by taking all local rows of A */ 141 ierr = MatGetSubMatrices(A,1,&mult->isrowa,&mult->isrowb,MAT_INITIAL_MATRIX,&seq);CHKERRQ(ierr); 142 mult->A_loc = *seq; 143 ierr = PetscFree(seq);CHKERRQ(ierr); 144 145 /* compute C_seq = A_seq * B_seq */ 146 ierr = MatMatMultSymbolic_SeqAIJ_SeqAIJ(mult->A_loc,mult->B_seq,fill,&mult->C_seq);CHKERRQ(ierr); 147 ierr = MatMatMultNumeric_SeqAIJ_SeqAIJ(mult->A_loc,mult->B_seq,mult->C_seq);CHKERRQ(ierr); 148 149 /* create mpi matrix C by concatinating C_seq */ 150 ierr = PetscObjectReference((PetscObject)mult->C_seq);CHKERRQ(ierr); /* prevent C_seq being destroyed by MatMerge() */ 151 ierr = MatMergeSymbolic(((PetscObject)A)->comm,mult->C_seq,B->cmap->n,&AB);CHKERRQ(ierr); 152 ierr = MatMergeNumeric(((PetscObject)A)->comm,mult->C_seq,B->cmap->n,AB);CHKERRQ(ierr); 153 154 /* attach the supporting struct to C for reuse of symbolic C */ 155 ierr = PetscContainerCreate(PETSC_COMM_SELF,&container);CHKERRQ(ierr); 156 ierr = PetscContainerSetPointer(container,mult);CHKERRQ(ierr); 157 ierr = PetscContainerSetUserDestroy(container,PetscContainerDestroy_Mat_MatMatMultMPI);CHKERRQ(ierr); 158 ierr = PetscObjectCompose((PetscObject)AB,"Mat_MatMatMultMPI",(PetscObject)container);CHKERRQ(ierr); 159 ierr = PetscContainerDestroy(&container);CHKERRQ(ierr); 160 mult->destroy = AB->ops->destroy; 161 mult->duplicate = AB->ops->duplicate; 162 AB->ops->destroy = MatDestroy_MPIAIJ_MatMatMult; 163 AB->ops->duplicate = MatDuplicate_MPIAIJ_MatMatMult; 164 *C = AB; 165 PetscFunctionReturn(0); 166 } 167 168 /* This routine is called ONLY in the case of reusing previously computed symbolic C */ 169 #undef __FUNCT__ 170 #define __FUNCT__ "MatMatMultNumeric_MPIAIJ_MPIAIJ" 171 PetscErrorCode MatMatMultNumeric_MPIAIJ_MPIAIJ(Mat A,Mat B,Mat C) 172 { 173 PetscErrorCode ierr; 174 Mat *seq; 175 Mat_MatMatMultMPI *mult; 176 PetscContainer container; 177 178 PetscFunctionBegin; 179 ierr = PetscObjectQuery((PetscObject)C,"Mat_MatMatMultMPI",(PetscObject *)&container);CHKERRQ(ierr); 180 if (!container) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Container does not exit"); 181 ierr = PetscContainerGetPointer(container,(void **)&mult);CHKERRQ(ierr); 182 seq = &mult->B_seq; 183 ierr = MatGetSubMatrices(B,1,&mult->isrowb,&mult->iscolb,MAT_REUSE_MATRIX,&seq);CHKERRQ(ierr); 184 mult->B_seq = *seq; 185 186 seq = &mult->A_loc; 187 ierr = MatGetSubMatrices(A,1,&mult->isrowa,&mult->isrowb,MAT_REUSE_MATRIX,&seq);CHKERRQ(ierr); 188 mult->A_loc = *seq; 189 190 ierr = MatMatMult_SeqAIJ_SeqAIJ(mult->A_loc,mult->B_seq,MAT_REUSE_MATRIX,0.0,&mult->C_seq);CHKERRQ(ierr); 191 192 ierr = PetscObjectReference((PetscObject)mult->C_seq);CHKERRQ(ierr); 193 ierr = MatMerge(((PetscObject)A)->comm,mult->C_seq,B->cmap->n,MAT_REUSE_MATRIX,&C);CHKERRQ(ierr); 194 PetscFunctionReturn(0); 195 } 196 197 #undef __FUNCT__ 198 #define __FUNCT__ "MatMatMult_MPIAIJ_MPIDense" 199 PetscErrorCode MatMatMult_MPIAIJ_MPIDense(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C) 200 { 201 PetscErrorCode ierr; 202 203 PetscFunctionBegin; 204 if (scall == MAT_INITIAL_MATRIX){ 205 ierr = MatMatMultSymbolic_MPIAIJ_MPIDense(A,B,fill,C);CHKERRQ(ierr); 206 } 207 ierr = MatMatMultNumeric_MPIAIJ_MPIDense(A,B,*C);CHKERRQ(ierr); 208 PetscFunctionReturn(0); 209 } 210 211 typedef struct { 212 Mat workB; 213 PetscScalar *rvalues,*svalues; 214 MPI_Request *rwaits,*swaits; 215 } MPIAIJ_MPIDense; 216 217 #undef __FUNCT__ 218 #define __FUNCT__ "MPIAIJ_MPIDenseDestroy" 219 PetscErrorCode MPIAIJ_MPIDenseDestroy(void *ctx) 220 { 221 MPIAIJ_MPIDense *contents = (MPIAIJ_MPIDense*) ctx; 222 PetscErrorCode ierr; 223 224 PetscFunctionBegin; 225 ierr = MatDestroy(&contents->workB);CHKERRQ(ierr); 226 ierr = PetscFree4(contents->rvalues,contents->svalues,contents->rwaits,contents->swaits);CHKERRQ(ierr); 227 ierr = PetscFree(contents);CHKERRQ(ierr); 228 PetscFunctionReturn(0); 229 } 230 231 #undef __FUNCT__ 232 #define __FUNCT__ "MatMatMultSymbolic_MPIAIJ_MPIDense" 233 PetscErrorCode MatMatMultSymbolic_MPIAIJ_MPIDense(Mat A,Mat B,PetscReal fill,Mat *C) 234 { 235 PetscErrorCode ierr; 236 Mat_MPIAIJ *aij = (Mat_MPIAIJ*) A->data; 237 PetscInt nz = aij->B->cmap->n; 238 PetscContainer container; 239 MPIAIJ_MPIDense *contents; 240 VecScatter ctx = aij->Mvctx; 241 VecScatter_MPI_General *from = (VecScatter_MPI_General*) ctx->fromdata; 242 VecScatter_MPI_General *to = ( VecScatter_MPI_General*) ctx->todata; 243 PetscInt m=A->rmap->n,n=B->cmap->n; 244 245 PetscFunctionBegin; 246 ierr = MatCreate(((PetscObject)B)->comm,C);CHKERRQ(ierr); 247 ierr = MatSetSizes(*C,m,n,A->rmap->N,B->cmap->N);CHKERRQ(ierr); 248 ierr = MatSetType(*C,MATMPIDENSE);CHKERRQ(ierr); 249 ierr = MatAssemblyBegin(*C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 250 ierr = MatAssemblyEnd(*C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 251 252 ierr = PetscNew(MPIAIJ_MPIDense,&contents);CHKERRQ(ierr); 253 /* Create work matrix used to store off processor rows of B needed for local product */ 254 ierr = MatCreateSeqDense(PETSC_COMM_SELF,nz,B->cmap->N,PETSC_NULL,&contents->workB);CHKERRQ(ierr); 255 /* Create work arrays needed */ 256 ierr = PetscMalloc4(B->cmap->N*from->starts[from->n],PetscScalar,&contents->rvalues, 257 B->cmap->N*to->starts[to->n],PetscScalar,&contents->svalues, 258 from->n,MPI_Request,&contents->rwaits, 259 to->n,MPI_Request,&contents->swaits);CHKERRQ(ierr); 260 261 ierr = PetscContainerCreate(((PetscObject)A)->comm,&container);CHKERRQ(ierr); 262 ierr = PetscContainerSetPointer(container,contents);CHKERRQ(ierr); 263 ierr = PetscContainerSetUserDestroy(container,MPIAIJ_MPIDenseDestroy);CHKERRQ(ierr); 264 ierr = PetscObjectCompose((PetscObject)(*C),"workB",(PetscObject)container);CHKERRQ(ierr); 265 ierr = PetscContainerDestroy(&container);CHKERRQ(ierr); 266 PetscFunctionReturn(0); 267 } 268 269 #undef __FUNCT__ 270 #define __FUNCT__ "MatMPIDenseScatter" 271 /* 272 Performs an efficient scatter on the rows of B needed by this process; this is 273 a modification of the VecScatterBegin_() routines. 274 */ 275 PetscErrorCode MatMPIDenseScatter(Mat A,Mat B,Mat C,Mat *outworkB) 276 { 277 Mat_MPIAIJ *aij = (Mat_MPIAIJ*)A->data; 278 PetscErrorCode ierr; 279 PetscScalar *b,*w,*svalues,*rvalues; 280 VecScatter ctx = aij->Mvctx; 281 VecScatter_MPI_General *from = (VecScatter_MPI_General*) ctx->fromdata; 282 VecScatter_MPI_General *to = ( VecScatter_MPI_General*) ctx->todata; 283 PetscInt i,j,k; 284 PetscInt *sindices,*sstarts,*rindices,*rstarts; 285 PetscMPIInt *sprocs,*rprocs,nrecvs; 286 MPI_Request *swaits,*rwaits; 287 MPI_Comm comm = ((PetscObject)A)->comm; 288 PetscMPIInt tag = ((PetscObject)ctx)->tag,ncols = B->cmap->N, nrows = aij->B->cmap->n,imdex,nrowsB = B->rmap->n; 289 MPI_Status status; 290 MPIAIJ_MPIDense *contents; 291 PetscContainer container; 292 Mat workB; 293 294 PetscFunctionBegin; 295 ierr = PetscObjectQuery((PetscObject)C,"workB",(PetscObject*)&container);CHKERRQ(ierr); 296 if (!container) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Container does not exit"); 297 ierr = PetscContainerGetPointer(container,(void**)&contents);CHKERRQ(ierr); 298 299 workB = *outworkB = contents->workB; 300 if (nrows != workB->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Number of rows of workB %D not equal to columns of aij->B %D",nrows,workB->cmap->n); 301 sindices = to->indices; 302 sstarts = to->starts; 303 sprocs = to->procs; 304 swaits = contents->swaits; 305 svalues = contents->svalues; 306 307 rindices = from->indices; 308 rstarts = from->starts; 309 rprocs = from->procs; 310 rwaits = contents->rwaits; 311 rvalues = contents->rvalues; 312 313 ierr = MatGetArray(B,&b);CHKERRQ(ierr); 314 ierr = MatGetArray(workB,&w);CHKERRQ(ierr); 315 316 for (i=0; i<from->n; i++) { 317 ierr = MPI_Irecv(rvalues+ncols*rstarts[i],ncols*(rstarts[i+1]-rstarts[i]),MPIU_SCALAR,rprocs[i],tag,comm,rwaits+i);CHKERRQ(ierr); 318 } 319 320 for (i=0; i<to->n; i++) { 321 /* pack a message at a time */ 322 CHKMEMQ; 323 for (j=0; j<sstarts[i+1]-sstarts[i]; j++){ 324 for (k=0; k<ncols; k++) { 325 svalues[ncols*(sstarts[i] + j) + k] = b[sindices[sstarts[i]+j] + nrowsB*k]; 326 } 327 } 328 CHKMEMQ; 329 ierr = MPI_Isend(svalues+ncols*sstarts[i],ncols*(sstarts[i+1]-sstarts[i]),MPIU_SCALAR,sprocs[i],tag,comm,swaits+i);CHKERRQ(ierr); 330 } 331 332 nrecvs = from->n; 333 while (nrecvs) { 334 ierr = MPI_Waitany(from->n,rwaits,&imdex,&status);CHKERRQ(ierr); 335 nrecvs--; 336 /* unpack a message at a time */ 337 CHKMEMQ; 338 for (j=0; j<rstarts[imdex+1]-rstarts[imdex]; j++){ 339 for (k=0; k<ncols; k++) { 340 w[rindices[rstarts[imdex]+j] + nrows*k] = rvalues[ncols*(rstarts[imdex] + j) + k]; 341 } 342 } 343 CHKMEMQ; 344 } 345 if (to->n) {ierr = MPI_Waitall(to->n,swaits,to->sstatus);CHKERRQ(ierr);} 346 347 ierr = MatRestoreArray(B,&b);CHKERRQ(ierr); 348 ierr = MatRestoreArray(workB,&w);CHKERRQ(ierr); 349 ierr = MatAssemblyBegin(workB,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 350 ierr = MatAssemblyEnd(workB,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 351 PetscFunctionReturn(0); 352 } 353 extern PetscErrorCode MatMatMultNumericAdd_SeqAIJ_SeqDense(Mat,Mat,Mat); 354 355 #undef __FUNCT__ 356 #define __FUNCT__ "MatMatMultNumeric_MPIAIJ_MPIDense" 357 PetscErrorCode MatMatMultNumeric_MPIAIJ_MPIDense(Mat A,Mat B,Mat C) 358 { 359 PetscErrorCode ierr; 360 Mat_MPIAIJ *aij = (Mat_MPIAIJ*)A->data; 361 Mat_MPIDense *bdense = (Mat_MPIDense*)B->data; 362 Mat_MPIDense *cdense = (Mat_MPIDense*)C->data; 363 Mat workB; 364 365 PetscFunctionBegin; 366 367 /* diagonal block of A times all local rows of B*/ 368 ierr = MatMatMultNumeric_SeqAIJ_SeqDense(aij->A,bdense->A,cdense->A);CHKERRQ(ierr); 369 370 /* get off processor parts of B needed to complete the product */ 371 ierr = MatMPIDenseScatter(A,B,C,&workB);CHKERRQ(ierr); 372 373 /* off-diagonal block of A times nonlocal rows of B */ 374 ierr = MatMatMultNumericAdd_SeqAIJ_SeqDense(aij->B,workB,cdense->A);CHKERRQ(ierr); 375 ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 376 ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 377 PetscFunctionReturn(0); 378 } 379 380