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 = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr); 21 ierr = MatMatMultSymbolic_MPIAIJ_MPIAIJ(A,B,fill,C);CHKERRQ(ierr);/* numeric product is computed as well in old version! */ 22 ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr); 23 } 24 ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr); 25 ierr = (*(*C)->ops->matmultnumeric)(A,B,*C);CHKERRQ(ierr); 26 ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr); 27 PetscFunctionReturn(0); 28 } 29 30 #undef __FUNCT__ 31 #define __FUNCT__ "PetscContainerDestroy_Mat_MatMatMultMPI" 32 PetscErrorCode PetscContainerDestroy_Mat_MatMatMultMPI(void *ptr) 33 { 34 PetscErrorCode ierr; 35 Mat_MatMatMultMPI *mult=(Mat_MatMatMultMPI*)ptr; 36 37 PetscFunctionBegin; 38 ierr = ISDestroy(&mult->isrowa);CHKERRQ(ierr); 39 ierr = ISDestroy(&mult->isrowb);CHKERRQ(ierr); 40 ierr = ISDestroy(&mult->iscolb);CHKERRQ(ierr); 41 ierr = MatDestroy(&mult->C_seq);CHKERRQ(ierr); 42 ierr = MatDestroy(&mult->A_loc);CHKERRQ(ierr); 43 ierr = MatDestroy(&mult->B_seq);CHKERRQ(ierr); 44 ierr = PetscFree(mult);CHKERRQ(ierr); 45 PetscFunctionReturn(0); 46 } 47 48 #undef __FUNCT__ 49 #define __FUNCT__ "MatDestroy_MPIAIJ_MatMatMult_new" 50 PetscErrorCode MatDestroy_MPIAIJ_MatMatMult_new(Mat A) 51 { 52 PetscErrorCode ierr; 53 Mat_MPIAIJ *a=(Mat_MPIAIJ*)A->data; 54 Mat_PtAPMPI *ptap=a->ptap; 55 56 PetscFunctionBegin; 57 ierr = PetscFree2(ptap->startsj,ptap->startsj_r);CHKERRQ(ierr); 58 ierr = PetscFree(ptap->bufa);CHKERRQ(ierr); 59 ierr = MatDestroy(&ptap->B_loc);CHKERRQ(ierr); 60 ierr = MatDestroy(&ptap->B_oth);CHKERRQ(ierr); 61 ierr = PetscFree(ptap->abi);CHKERRQ(ierr); 62 ierr = PetscFree(ptap->abj);CHKERRQ(ierr); 63 ierr = PetscFree(ptap->apa);CHKERRQ(ierr); 64 ierr = ptap->destroy(A);CHKERRQ(ierr); 65 ierr = PetscFree(ptap);CHKERRQ(ierr); 66 PetscFunctionReturn(0); 67 } 68 69 #undef __FUNCT__ 70 #define __FUNCT__ "MatDestroy_MPIAIJ_MatMatMult" 71 PetscErrorCode MatDestroy_MPIAIJ_MatMatMult(Mat A) 72 { 73 PetscErrorCode ierr; 74 PetscContainer container; 75 Mat_MatMatMultMPI *mult=PETSC_NULL; 76 77 PetscFunctionBegin; 78 ierr = PetscObjectQuery((PetscObject)A,"Mat_MatMatMultMPI",(PetscObject *)&container);CHKERRQ(ierr); 79 if (!container) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Container does not exit"); 80 ierr = PetscContainerGetPointer(container,(void **)&mult);CHKERRQ(ierr); 81 A->ops->destroy = mult->destroy; 82 A->ops->duplicate = mult->duplicate; 83 if (A->ops->destroy) { 84 ierr = (*A->ops->destroy)(A);CHKERRQ(ierr); 85 } 86 ierr = PetscObjectCompose((PetscObject)A,"Mat_MatMatMultMPI",0);CHKERRQ(ierr); 87 PetscFunctionReturn(0); 88 } 89 90 #undef __FUNCT__ 91 #define __FUNCT__ "MatDuplicate_MPIAIJ_MatMatMult" 92 PetscErrorCode MatDuplicate_MPIAIJ_MatMatMult(Mat A, MatDuplicateOption op, Mat *M) 93 { 94 PetscErrorCode ierr; 95 Mat_MatMatMultMPI *mult; 96 PetscContainer container; 97 98 PetscFunctionBegin; 99 ierr = PetscObjectQuery((PetscObject)A,"Mat_MatMatMultMPI",(PetscObject *)&container);CHKERRQ(ierr); 100 if (!container) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Container does not exit"); 101 ierr = PetscContainerGetPointer(container,(void **)&mult);CHKERRQ(ierr); 102 /* Note: the container is not duplicated, because it requires deep copying of 103 several large data sets (see PetscContainerDestroy_Mat_MatMatMultMPI()). 104 These data sets are only used for repeated calling of MatMatMultNumeric(). 105 *M is unlikely being used in this way. Thus we create *M with pure mpiaij format */ 106 ierr = (*mult->duplicate)(A,op,M);CHKERRQ(ierr); 107 (*M)->ops->destroy = mult->destroy; /* = MatDestroy_MPIAIJ, *M doesn't duplicate A's container! */ 108 (*M)->ops->duplicate = mult->duplicate; /* = MatDuplicate_MPIAIJ */ 109 PetscFunctionReturn(0); 110 } 111 112 #undef __FUNCT__ 113 #define __FUNCT__ "MatMatMultNumeric_MPIAIJ_MPIAIJ_new" 114 PetscErrorCode MatMatMultNumeric_MPIAIJ_MPIAIJ_new(Mat A,Mat P,Mat C) 115 { 116 PetscErrorCode ierr; 117 Mat_MPIAIJ *a=(Mat_MPIAIJ*)A->data,*p=(Mat_MPIAIJ*)P->data,*c=(Mat_MPIAIJ*)C->data; 118 Mat_SeqAIJ *ad=(Mat_SeqAIJ*)(a->A)->data,*ao=(Mat_SeqAIJ*)(a->B)->data; 119 Mat_SeqAIJ *cd=(Mat_SeqAIJ*)(c->A)->data,*co=(Mat_SeqAIJ*)(c->B)->data; 120 PetscInt *adi=ad->i,*adj,*aoi=ao->i,*aoj; 121 PetscScalar *ada,*aoa,*cda=cd->a,*coa=co->a; 122 Mat_SeqAIJ *p_loc,*p_oth; 123 PetscInt *pi_loc,*pj_loc,*pi_oth,*pj_oth,*pj; 124 PetscScalar *pa_loc,*pa_oth,*pa,*apa,valtmp,*ca; 125 PetscInt cm=C->rmap->n,anz,pnz; 126 Mat_PtAPMPI *ptap=c->ptap; 127 PetscInt *api,*apj,*apJ,cnz,i,j,k,row; 128 MPI_Comm comm=((PetscObject)A)->comm; 129 PetscMPIInt rank; 130 PetscInt rstart=C->rmap->rstart,cstart=C->cmap->rstart,cend=C->cmap->rend; 131 PetscInt cdnz,conz,k0,k1; 132 133 PetscFunctionBegin; 134 /* 1) get P_oth = ptap->B_oth and P_loc = ptap->B_loc */ 135 /*-----------------------------------------------------*/ 136 if (ptap->reuse == MAT_INITIAL_MATRIX){ 137 ptap->reuse = MAT_REUSE_MATRIX; 138 } else { /* update numerical values of P_oth and P_loc */ 139 ierr = MatGetBrowsOfAoCols_MPIAIJ(A,P,MAT_REUSE_MATRIX,&ptap->startsj,&ptap->startsj_r,&ptap->bufa,&ptap->B_oth);CHKERRQ(ierr); 140 ierr = MatMPIAIJGetLocalMat(P,MAT_REUSE_MATRIX,&ptap->B_loc);CHKERRQ(ierr); 141 } 142 143 /* 2) compute numeric C_loc = A_loc*P = Ad*P_loc + Ao*P_oth */ 144 /*----------------------------------------------------------*/ 145 /* get data from symbolic products */ 146 p_loc = (Mat_SeqAIJ*)(ptap->B_loc)->data; 147 p_oth = (Mat_SeqAIJ*)(ptap->B_oth)->data; 148 pi_loc=p_loc->i; pj_loc=p_loc->j; pa_loc=p_loc->a; 149 pi_oth=p_oth->i; pj_oth=p_oth->j; pa_oth=p_oth->a; 150 151 /* get apa for storing dense row A[i,:]*P */ 152 apa = ptap->apa; 153 154 for (i=0; i<cm; i++) { 155 /* diagonal portion of A */ 156 anz = adi[i+1] - adi[i]; 157 adj = ad->j + adi[i]; 158 ada = ad->a + adi[i]; 159 for (j=0; j<anz; j++) { 160 row = adj[j]; 161 pnz = pi_loc[row+1] - pi_loc[row]; 162 pj = pj_loc + pi_loc[row]; 163 pa = pa_loc + pi_loc[row]; 164 165 /* perform dense axpy */ 166 valtmp = ada[j]; 167 for (k=0; k<pnz; k++){ 168 apa[pj[k]] += valtmp*pa[k]; 169 } 170 ierr = PetscLogFlops(2.0*pnz);CHKERRQ(ierr); 171 } 172 173 /* off-diagonal portion of A */ 174 anz = aoi[i+1] - aoi[i]; 175 aoj = ao->j + aoi[i]; 176 aoa = ao->a + aoi[i]; 177 for (j=0; j<anz; j++) { 178 row = aoj[j]; 179 pnz = pi_oth[row+1] - pi_oth[row]; 180 pj = pj_oth + pi_oth[row]; 181 pa = pa_oth + pi_oth[row]; 182 183 /* perform dense axpy */ 184 valtmp = aoa[j]; 185 for (k=0; k<pnz; k++){ 186 apa[pj[k]] += valtmp*pa[k]; 187 } 188 ierr = PetscLogFlops(2.0*pnz);CHKERRQ(ierr); 189 } 190 191 /* set values in C */ 192 row = rstart + i; 193 api = ptap->abi; 194 apj = ptap->abj; 195 apJ = apj + api[i]; 196 cnz = api[i+1] - api[i]; 197 cdnz = cd->i[i+1] - cd->i[i]; 198 conz = co->i[i+1] - co->i[i]; 199 200 /* 1st off-diagoanl part of C */ 201 ca = coa + co->i[i]; 202 k = 0; 203 for (k0=0; k0<conz; k0++){ 204 if (apJ[k] >= cstart) break; 205 ca[k0] = apa[apJ[k]]; 206 apa[apJ[k]] = 0.0; 207 k++; 208 } 209 210 /* diagonal part of C */ 211 ca = cda + cd->i[i]; 212 for (k1=0; k1<cdnz; k1++){ 213 ca[k1] = apa[apJ[k]]; 214 apa[apJ[k]] = 0.0; 215 k++; 216 } 217 218 /* 2nd off-diagoanl part of C */ 219 ca = coa + co->i[i]; 220 for (; k0<conz; k0++){ 221 ca[k0] = apa[apJ[k]]; 222 apa[apJ[k]] = 0.0; 223 k++; 224 } 225 } 226 ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 227 ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 228 PetscFunctionReturn(0); 229 } 230 231 #undef __FUNCT__ 232 #define __FUNCT__ "MatMatMultSymbolic_MPIAIJ_MPIAIJ_new" 233 PetscErrorCode MatMatMultSymbolic_MPIAIJ_MPIAIJ_new(Mat A,Mat P,PetscReal fill,Mat *C) 234 { 235 PetscErrorCode ierr; 236 MPI_Comm comm=((PetscObject)A)->comm; 237 PetscMPIInt size,rank; 238 Mat B_mpi; 239 Mat_PtAPMPI *ptap; 240 PetscFreeSpaceList free_space=PETSC_NULL,current_space=PETSC_NULL; 241 Mat_MPIAIJ *a=(Mat_MPIAIJ*)A->data,*p=(Mat_MPIAIJ*)P->data,*c; 242 Mat_SeqAIJ *ad=(Mat_SeqAIJ*)(a->A)->data,*ao=(Mat_SeqAIJ*)(a->B)->data; 243 Mat_SeqAIJ *p_loc,*p_oth; 244 PetscInt *pi_loc,*pj_loc,*pi_oth,*pj_oth,*pdti,*pdtj,*poti,*potj,*ptJ,*dnz,*onz; 245 PetscInt *adi=ad->i,*adj=ad->j,*aoi=ao->i,*aoj=ao->j,nnz,rstart=A->rmap->rstart; 246 PetscInt nlnk,*lnk,*owners_co,*coi,*coj,i,k,pnz,row; 247 PetscInt am=A->rmap->n,pN=P->cmap->N,pn=P->cmap->n; 248 PetscBT lnkbt; 249 PetscInt nzi,*bi,*bj; 250 PetscInt *api,*apj,*Jptr,apnz,*prmap=p->garray,pon,nspacedouble=0,j; 251 PetscScalar *apa; 252 253 PetscFunctionBegin; 254 ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr); 255 ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr); 256 257 /* create struct Mat_PtAPMPI and attached it to C later */ 258 ierr = PetscNew(Mat_PtAPMPI,&ptap);CHKERRQ(ierr); 259 ptap->abnz_max = 0; 260 ptap->reuse = MAT_INITIAL_MATRIX; 261 262 /* malloc apa to store dense row A[i,:]*P */ 263 ierr = PetscMalloc((P->cmap->N)*sizeof(PetscScalar),&apa);CHKERRQ(ierr); 264 ierr = PetscMemzero(apa,P->cmap->N*sizeof(PetscScalar));CHKERRQ(ierr); 265 ptap->apa = apa; 266 267 268 /* get P_oth by taking rows of P (= non-zero cols of local A) from other processors */ 269 ierr = MatGetBrowsOfAoCols_MPIAIJ(A,P,MAT_INITIAL_MATRIX,&ptap->startsj,&ptap->startsj_r,&ptap->bufa,&ptap->B_oth);CHKERRQ(ierr); 270 /* get P_loc by taking all local rows of P */ 271 ierr = MatMPIAIJGetLocalMat(P,MAT_INITIAL_MATRIX,&ptap->B_loc);CHKERRQ(ierr); 272 273 p_loc = (Mat_SeqAIJ*)(ptap->B_loc)->data; 274 p_oth = (Mat_SeqAIJ*)(ptap->B_oth)->data; 275 pi_loc = p_loc->i; pj_loc = p_loc->j; 276 pi_oth = p_oth->i; pj_oth = p_oth->j; 277 278 /* first, compute symbolic AP = A_loc*P = A_diag*P_loc + A_off*P_oth */ 279 /*-------------------------------------------------------------------*/ 280 ierr = PetscMalloc((am+2)*sizeof(PetscInt),&api);CHKERRQ(ierr); 281 ptap->abi = api; 282 api[0] = 0; 283 284 /* create and initialize a linked list */ 285 nlnk = pN+1; 286 ierr = PetscLLCreate(pN,pN,nlnk,lnk,lnkbt);CHKERRQ(ierr); 287 288 /* Initial FreeSpace size is fill*nnz(A) */ 289 ierr = PetscFreeSpaceGet((PetscInt)(fill*(adi[am]+aoi[am])),&free_space);CHKERRQ(ierr); 290 current_space = free_space; 291 292 ierr = MatPreallocateInitialize(comm,am,pn,dnz,onz);CHKERRQ(ierr); 293 for (i=0;i<am;i++) { 294 apnz = 0; 295 /* diagonal portion of A */ 296 nzi = adi[i+1] - adi[i]; 297 for (j=0; j<nzi; j++){ 298 row = *adj++; 299 pnz = pi_loc[row+1] - pi_loc[row]; 300 Jptr = pj_loc + pi_loc[row]; 301 /* add non-zero cols of P into the sorted linked list lnk */ 302 ierr = PetscLLAdd(pnz,Jptr,pN,nlnk,lnk,lnkbt);CHKERRQ(ierr); 303 apnz += nlnk; 304 } 305 /* off-diagonal portion of A */ 306 nzi = aoi[i+1] - aoi[i]; 307 for (j=0; j<nzi; j++){ 308 row = *aoj++; 309 pnz = pi_oth[row+1] - pi_oth[row]; 310 Jptr = pj_oth + pi_oth[row]; 311 ierr = PetscLLAdd(pnz,Jptr,pN,nlnk,lnk,lnkbt);CHKERRQ(ierr); 312 apnz += nlnk; 313 } 314 315 api[i+1] = api[i] + apnz; 316 if (ptap->abnz_max < apnz) ptap->abnz_max = apnz; 317 318 /* if free space is not available, double the total space in the list */ 319 if (current_space->local_remaining<apnz) { 320 ierr = PetscFreeSpaceGet(apnz+current_space->total_array_size,¤t_space);CHKERRQ(ierr); 321 nspacedouble++; 322 } 323 324 /* Copy data into free space, then initialize lnk */ 325 ierr = PetscLLClean(pN,pN,apnz,lnk,current_space->array,lnkbt);CHKERRQ(ierr); 326 ierr = MatPreallocateSet(i+rstart,apnz,current_space->array,dnz,onz);CHKERRQ(ierr); 327 current_space->array += apnz; 328 current_space->local_used += apnz; 329 current_space->local_remaining -= apnz; 330 } 331 332 /* Allocate space for apj, initialize apj, and */ 333 /* destroy list of free space and other temporary array(s) */ 334 ierr = PetscMalloc((api[am]+1)*sizeof(PetscInt),&ptap->abj);CHKERRQ(ierr); 335 apj = ptap->abj; 336 ierr = PetscFreeSpaceContiguous(&free_space,ptap->abj);CHKERRQ(ierr); 337 ierr = PetscLLDestroy(lnk,lnkbt);CHKERRQ(ierr); 338 339 /* create and assemble symbolic parallel matrix B_mpi */ 340 /*----------------------------------------------------*/ 341 ierr = MatCreate(comm,&B_mpi);CHKERRQ(ierr); 342 ierr = MatSetSizes(B_mpi,am,pn,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr); 343 ierr = MatSetType(B_mpi,MATMPIAIJ);CHKERRQ(ierr); 344 ierr = MatMPIAIJSetPreallocation(B_mpi,0,dnz,0,onz);CHKERRQ(ierr); 345 ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr); 346 ierr = MatSetBlockSize(B_mpi,1);CHKERRQ(ierr); 347 for (i=0; i<am; i++){ 348 row = i + rstart; 349 apnz = api[i+1] - api[i]; 350 ierr = MatSetValues(B_mpi,1,&row,apnz,apj,apa,INSERT_VALUES);CHKERRQ(ierr); 351 apj += apnz; 352 } 353 ierr = MatAssemblyBegin(B_mpi,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 354 ierr = MatAssemblyEnd(B_mpi,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 355 //ierr = MatView(B_mpi,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr); 356 357 ptap->destroy = B_mpi->ops->destroy; 358 B_mpi->ops->matmultnumeric = MatMatMultNumeric_MPIAIJ_MPIAIJ_new; 359 B_mpi->ops->destroy = MatDestroy_MPIAIJ_MatMatMult_new; 360 361 /* attach the supporting struct to B_mpi for reuse */ 362 c = (Mat_MPIAIJ*)B_mpi->data; 363 c->ptap = ptap; 364 365 *C = B_mpi; 366 PetscFunctionReturn(0); 367 } 368 369 #undef __FUNCT__ 370 #define __FUNCT__ "MatMatMultSymbolic_MPIAIJ_MPIAIJ" 371 PetscErrorCode MatMatMultSymbolic_MPIAIJ_MPIAIJ(Mat A,Mat B,PetscReal fill,Mat *C) 372 { 373 PetscErrorCode ierr; 374 Mat_MatMatMultMPI *mult; 375 PetscContainer container; 376 Mat AB,*seq; 377 Mat_MPIAIJ *a=(Mat_MPIAIJ*)A->data; 378 PetscInt *idx,i,start,ncols,nzA,nzB,*cmap,imark; 379 PetscBool matmatmult_new=PETSC_FALSE; 380 381 PetscFunctionBegin; 382 if (A->cmap->rstart != B->rmap->rstart || A->cmap->rend != B->rmap->rend){ 383 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); 384 } 385 ierr = PetscOptionsGetBool(PETSC_NULL,"-matmatmult_new",&matmatmult_new,PETSC_NULL);CHKERRQ(ierr); 386 if (matmatmult_new){ 387 ierr = MatMatMultSymbolic_MPIAIJ_MPIAIJ_new(A,B,fill,C);;CHKERRQ(ierr); 388 PetscFunctionReturn(0); 389 } 390 391 ierr = PetscNew(Mat_MatMatMultMPI,&mult);CHKERRQ(ierr); 392 393 /* get isrowb: nonzero col of A */ 394 start = A->cmap->rstart; 395 cmap = a->garray; 396 nzA = a->A->cmap->n; 397 nzB = a->B->cmap->n; 398 ierr = PetscMalloc((nzA+nzB)*sizeof(PetscInt), &idx);CHKERRQ(ierr); 399 ncols = 0; 400 for (i=0; i<nzB; i++) { /* row < local row index */ 401 if (cmap[i] < start) idx[ncols++] = cmap[i]; 402 else break; 403 } 404 imark = i; 405 for (i=0; i<nzA; i++) idx[ncols++] = start + i; /* local rows */ 406 for (i=imark; i<nzB; i++) idx[ncols++] = cmap[i]; /* row > local row index */ 407 ierr = ISCreateGeneral(PETSC_COMM_SELF,ncols,idx,PETSC_OWN_POINTER,&mult->isrowb);CHKERRQ(ierr); 408 ierr = ISCreateStride(PETSC_COMM_SELF,B->cmap->N,0,1,&mult->iscolb);CHKERRQ(ierr); 409 410 /* get isrowa: all local rows of A */ 411 ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->n,A->rmap->rstart,1,&mult->isrowa);CHKERRQ(ierr); 412 413 /* Below should go to MatMatMultNumeric_MPIAIJ_MPIAIJ() - How to generate C there? */ 414 /* create a seq matrix B_seq = submatrix of B by taking rows of B that equal to nonzero col of A */ 415 ierr = MatGetSubMatrices(B,1,&mult->isrowb,&mult->iscolb,MAT_INITIAL_MATRIX,&seq);CHKERRQ(ierr); 416 mult->B_seq = *seq; 417 ierr = PetscFree(seq);CHKERRQ(ierr); 418 419 /* create a seq matrix A_seq = submatrix of A by taking all local rows of A */ 420 ierr = MatGetSubMatrices(A,1,&mult->isrowa,&mult->isrowb,MAT_INITIAL_MATRIX,&seq);CHKERRQ(ierr); 421 mult->A_loc = *seq; 422 ierr = PetscFree(seq);CHKERRQ(ierr); 423 424 /* compute C_seq = A_seq * B_seq */ 425 ierr = MatMatMultSymbolic_SeqAIJ_SeqAIJ(mult->A_loc,mult->B_seq,fill,&mult->C_seq);CHKERRQ(ierr); 426 ierr = MatMatMultNumeric_SeqAIJ_SeqAIJ(mult->A_loc,mult->B_seq,mult->C_seq);CHKERRQ(ierr); 427 428 /* create mpi matrix C by concatinating C_seq */ 429 ierr = PetscObjectReference((PetscObject)mult->C_seq);CHKERRQ(ierr); /* prevent C_seq being destroyed by MatMerge() */ 430 ierr = MatMergeSymbolic(((PetscObject)A)->comm,mult->C_seq,B->cmap->n,&AB);CHKERRQ(ierr); 431 ierr = MatMergeNumeric(((PetscObject)A)->comm,mult->C_seq,B->cmap->n,AB);CHKERRQ(ierr); 432 433 /* attach the supporting struct to C for reuse of symbolic C */ 434 ierr = PetscContainerCreate(PETSC_COMM_SELF,&container);CHKERRQ(ierr); 435 ierr = PetscContainerSetPointer(container,mult);CHKERRQ(ierr); 436 ierr = PetscContainerSetUserDestroy(container,PetscContainerDestroy_Mat_MatMatMultMPI);CHKERRQ(ierr); 437 ierr = PetscObjectCompose((PetscObject)AB,"Mat_MatMatMultMPI",(PetscObject)container);CHKERRQ(ierr); 438 ierr = PetscContainerDestroy(&container);CHKERRQ(ierr); 439 mult->destroy = AB->ops->destroy; 440 mult->duplicate = AB->ops->duplicate; 441 AB->ops->matmultnumeric = MatMatMultNumeric_MPIAIJ_MPIAIJ; 442 AB->ops->destroy = MatDestroy_MPIAIJ_MatMatMult; 443 AB->ops->duplicate = MatDuplicate_MPIAIJ_MatMatMult; 444 AB->ops->matmult = MatMatMult_MPIAIJ_MPIAIJ; 445 *C = AB; 446 PetscFunctionReturn(0); 447 } 448 449 /* This routine is called ONLY in the case of reusing previously computed symbolic C */ 450 #undef __FUNCT__ 451 #define __FUNCT__ "MatMatMultNumeric_MPIAIJ_MPIAIJ" 452 PetscErrorCode MatMatMultNumeric_MPIAIJ_MPIAIJ(Mat A,Mat B,Mat C) 453 { 454 PetscErrorCode ierr; 455 Mat *seq; 456 Mat_MatMatMultMPI *mult; 457 PetscContainer container; 458 459 PetscFunctionBegin; 460 ierr = PetscObjectQuery((PetscObject)C,"Mat_MatMatMultMPI",(PetscObject *)&container);CHKERRQ(ierr); 461 if (!container) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Container does not exit"); 462 ierr = PetscContainerGetPointer(container,(void **)&mult);CHKERRQ(ierr); 463 seq = &mult->B_seq; 464 ierr = MatGetSubMatrices(B,1,&mult->isrowb,&mult->iscolb,MAT_REUSE_MATRIX,&seq);CHKERRQ(ierr); 465 mult->B_seq = *seq; 466 467 seq = &mult->A_loc; 468 ierr = MatGetSubMatrices(A,1,&mult->isrowa,&mult->isrowb,MAT_REUSE_MATRIX,&seq);CHKERRQ(ierr); 469 mult->A_loc = *seq; 470 471 ierr = MatMatMultNumeric_SeqAIJ_SeqAIJ_SparseAxpy(mult->A_loc,mult->B_seq,mult->C_seq);CHKERRQ(ierr); 472 473 ierr = PetscObjectReference((PetscObject)mult->C_seq);CHKERRQ(ierr); 474 ierr = MatMerge(((PetscObject)A)->comm,mult->C_seq,B->cmap->n,MAT_REUSE_MATRIX,&C);CHKERRQ(ierr); 475 PetscFunctionReturn(0); 476 } 477 478 #undef __FUNCT__ 479 #define __FUNCT__ "MatMatMult_MPIAIJ_MPIDense" 480 PetscErrorCode MatMatMult_MPIAIJ_MPIDense(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C) 481 { 482 PetscErrorCode ierr; 483 484 PetscFunctionBegin; 485 if (scall == MAT_INITIAL_MATRIX){ 486 ierr = MatMatMultSymbolic_MPIAIJ_MPIDense(A,B,fill,C);CHKERRQ(ierr); 487 } 488 ierr = MatMatMultNumeric_MPIAIJ_MPIDense(A,B,*C);CHKERRQ(ierr); 489 PetscFunctionReturn(0); 490 } 491 492 typedef struct { 493 Mat workB; 494 PetscScalar *rvalues,*svalues; 495 MPI_Request *rwaits,*swaits; 496 } MPIAIJ_MPIDense; 497 498 #undef __FUNCT__ 499 #define __FUNCT__ "MPIAIJ_MPIDenseDestroy" 500 PetscErrorCode MPIAIJ_MPIDenseDestroy(void *ctx) 501 { 502 MPIAIJ_MPIDense *contents = (MPIAIJ_MPIDense*) ctx; 503 PetscErrorCode ierr; 504 505 PetscFunctionBegin; 506 ierr = MatDestroy(&contents->workB);CHKERRQ(ierr); 507 ierr = PetscFree4(contents->rvalues,contents->svalues,contents->rwaits,contents->swaits);CHKERRQ(ierr); 508 ierr = PetscFree(contents);CHKERRQ(ierr); 509 PetscFunctionReturn(0); 510 } 511 512 #undef __FUNCT__ 513 #define __FUNCT__ "MatMatMultSymbolic_MPIAIJ_MPIDense" 514 PetscErrorCode MatMatMultSymbolic_MPIAIJ_MPIDense(Mat A,Mat B,PetscReal fill,Mat *C) 515 { 516 PetscErrorCode ierr; 517 Mat_MPIAIJ *aij = (Mat_MPIAIJ*) A->data; 518 PetscInt nz = aij->B->cmap->n; 519 PetscContainer container; 520 MPIAIJ_MPIDense *contents; 521 VecScatter ctx = aij->Mvctx; 522 VecScatter_MPI_General *from = (VecScatter_MPI_General*) ctx->fromdata; 523 VecScatter_MPI_General *to = ( VecScatter_MPI_General*) ctx->todata; 524 PetscInt m=A->rmap->n,n=B->cmap->n; 525 526 PetscFunctionBegin; 527 ierr = MatCreate(((PetscObject)B)->comm,C);CHKERRQ(ierr); 528 ierr = MatSetSizes(*C,m,n,A->rmap->N,B->cmap->N);CHKERRQ(ierr); 529 ierr = MatSetType(*C,MATMPIDENSE);CHKERRQ(ierr); 530 ierr = MatAssemblyBegin(*C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 531 ierr = MatAssemblyEnd(*C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 532 (*C)->ops->matmult = MatMatMult_MPIAIJ_MPIDense; 533 534 ierr = PetscNew(MPIAIJ_MPIDense,&contents);CHKERRQ(ierr); 535 /* Create work matrix used to store off processor rows of B needed for local product */ 536 ierr = MatCreateSeqDense(PETSC_COMM_SELF,nz,B->cmap->N,PETSC_NULL,&contents->workB);CHKERRQ(ierr); 537 /* Create work arrays needed */ 538 ierr = PetscMalloc4(B->cmap->N*from->starts[from->n],PetscScalar,&contents->rvalues, 539 B->cmap->N*to->starts[to->n],PetscScalar,&contents->svalues, 540 from->n,MPI_Request,&contents->rwaits, 541 to->n,MPI_Request,&contents->swaits);CHKERRQ(ierr); 542 543 ierr = PetscContainerCreate(((PetscObject)A)->comm,&container);CHKERRQ(ierr); 544 ierr = PetscContainerSetPointer(container,contents);CHKERRQ(ierr); 545 ierr = PetscContainerSetUserDestroy(container,MPIAIJ_MPIDenseDestroy);CHKERRQ(ierr); 546 ierr = PetscObjectCompose((PetscObject)(*C),"workB",(PetscObject)container);CHKERRQ(ierr); 547 ierr = PetscContainerDestroy(&container);CHKERRQ(ierr); 548 PetscFunctionReturn(0); 549 } 550 551 #undef __FUNCT__ 552 #define __FUNCT__ "MatMPIDenseScatter" 553 /* 554 Performs an efficient scatter on the rows of B needed by this process; this is 555 a modification of the VecScatterBegin_() routines. 556 */ 557 PetscErrorCode MatMPIDenseScatter(Mat A,Mat B,Mat C,Mat *outworkB) 558 { 559 Mat_MPIAIJ *aij = (Mat_MPIAIJ*)A->data; 560 PetscErrorCode ierr; 561 PetscScalar *b,*w,*svalues,*rvalues; 562 VecScatter ctx = aij->Mvctx; 563 VecScatter_MPI_General *from = (VecScatter_MPI_General*) ctx->fromdata; 564 VecScatter_MPI_General *to = ( VecScatter_MPI_General*) ctx->todata; 565 PetscInt i,j,k; 566 PetscInt *sindices,*sstarts,*rindices,*rstarts; 567 PetscMPIInt *sprocs,*rprocs,nrecvs; 568 MPI_Request *swaits,*rwaits; 569 MPI_Comm comm = ((PetscObject)A)->comm; 570 PetscMPIInt tag = ((PetscObject)ctx)->tag,ncols = B->cmap->N, nrows = aij->B->cmap->n,imdex,nrowsB = B->rmap->n; 571 MPI_Status status; 572 MPIAIJ_MPIDense *contents; 573 PetscContainer container; 574 Mat workB; 575 576 PetscFunctionBegin; 577 ierr = PetscObjectQuery((PetscObject)C,"workB",(PetscObject*)&container);CHKERRQ(ierr); 578 if (!container) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Container does not exit"); 579 ierr = PetscContainerGetPointer(container,(void**)&contents);CHKERRQ(ierr); 580 581 workB = *outworkB = contents->workB; 582 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); 583 sindices = to->indices; 584 sstarts = to->starts; 585 sprocs = to->procs; 586 swaits = contents->swaits; 587 svalues = contents->svalues; 588 589 rindices = from->indices; 590 rstarts = from->starts; 591 rprocs = from->procs; 592 rwaits = contents->rwaits; 593 rvalues = contents->rvalues; 594 595 ierr = MatGetArray(B,&b);CHKERRQ(ierr); 596 ierr = MatGetArray(workB,&w);CHKERRQ(ierr); 597 598 for (i=0; i<from->n; i++) { 599 ierr = MPI_Irecv(rvalues+ncols*rstarts[i],ncols*(rstarts[i+1]-rstarts[i]),MPIU_SCALAR,rprocs[i],tag,comm,rwaits+i);CHKERRQ(ierr); 600 } 601 602 for (i=0; i<to->n; i++) { 603 /* pack a message at a time */ 604 CHKMEMQ; 605 for (j=0; j<sstarts[i+1]-sstarts[i]; j++){ 606 for (k=0; k<ncols; k++) { 607 svalues[ncols*(sstarts[i] + j) + k] = b[sindices[sstarts[i]+j] + nrowsB*k]; 608 } 609 } 610 CHKMEMQ; 611 ierr = MPI_Isend(svalues+ncols*sstarts[i],ncols*(sstarts[i+1]-sstarts[i]),MPIU_SCALAR,sprocs[i],tag,comm,swaits+i);CHKERRQ(ierr); 612 } 613 614 nrecvs = from->n; 615 while (nrecvs) { 616 ierr = MPI_Waitany(from->n,rwaits,&imdex,&status);CHKERRQ(ierr); 617 nrecvs--; 618 /* unpack a message at a time */ 619 CHKMEMQ; 620 for (j=0; j<rstarts[imdex+1]-rstarts[imdex]; j++){ 621 for (k=0; k<ncols; k++) { 622 w[rindices[rstarts[imdex]+j] + nrows*k] = rvalues[ncols*(rstarts[imdex] + j) + k]; 623 } 624 } 625 CHKMEMQ; 626 } 627 if (to->n) {ierr = MPI_Waitall(to->n,swaits,to->sstatus);CHKERRQ(ierr);} 628 629 ierr = MatRestoreArray(B,&b);CHKERRQ(ierr); 630 ierr = MatRestoreArray(workB,&w);CHKERRQ(ierr); 631 ierr = MatAssemblyBegin(workB,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 632 ierr = MatAssemblyEnd(workB,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 633 PetscFunctionReturn(0); 634 } 635 extern PetscErrorCode MatMatMultNumericAdd_SeqAIJ_SeqDense(Mat,Mat,Mat); 636 637 #undef __FUNCT__ 638 #define __FUNCT__ "MatMatMultNumeric_MPIAIJ_MPIDense" 639 PetscErrorCode MatMatMultNumeric_MPIAIJ_MPIDense(Mat A,Mat B,Mat C) 640 { 641 PetscErrorCode ierr; 642 Mat_MPIAIJ *aij = (Mat_MPIAIJ*)A->data; 643 Mat_MPIDense *bdense = (Mat_MPIDense*)B->data; 644 Mat_MPIDense *cdense = (Mat_MPIDense*)C->data; 645 Mat workB; 646 647 PetscFunctionBegin; 648 649 /* diagonal block of A times all local rows of B*/ 650 ierr = MatMatMultNumeric_SeqAIJ_SeqDense(aij->A,bdense->A,cdense->A);CHKERRQ(ierr); 651 652 /* get off processor parts of B needed to complete the product */ 653 ierr = MatMPIDenseScatter(A,B,C,&workB);CHKERRQ(ierr); 654 655 /* off-diagonal block of A times nonlocal rows of B */ 656 ierr = MatMatMultNumericAdd_SeqAIJ_SeqDense(aij->B,workB,cdense->A);CHKERRQ(ierr); 657 ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 658 ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 659 PetscFunctionReturn(0); 660 } 661 662