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); 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" 50 PetscErrorCode MatDestroy_MPIAIJ_MatMatMult(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->P_loc);CHKERRQ(ierr); 60 ierr = MatDestroy(&ptap->P_oth);CHKERRQ(ierr); 61 ierr = PetscFree(ptap->api);CHKERRQ(ierr); 62 ierr = PetscFree(ptap->apj);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_32" 71 PetscErrorCode MatDestroy_MPIAIJ_MatMatMult_32(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_32" 92 PetscErrorCode MatDuplicate_MPIAIJ_MatMatMult_32(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__ "MatDuplicate_MPIAIJ_MatMatMult" 114 PetscErrorCode MatDuplicate_MPIAIJ_MatMatMult(Mat A, MatDuplicateOption op, Mat *M) 115 { 116 PetscErrorCode ierr; 117 Mat_MPIAIJ *a=(Mat_MPIAIJ*)A->data; 118 Mat_PtAPMPI *ptap=a->ptap; 119 120 PetscFunctionBegin; 121 ierr = (*ptap->duplicate)(A,op,M);CHKERRQ(ierr); 122 (*M)->ops->destroy = ptap->destroy; /* = MatDestroy_MPIAIJ, *M doesn't duplicate A's special structure! */ 123 (*M)->ops->duplicate = ptap->duplicate; /* = MatDuplicate_MPIAIJ */ 124 PetscFunctionReturn(0); 125 } 126 127 #undef __FUNCT__ 128 #define __FUNCT__ "MatMatMultNumeric_MPIAIJ_MPIAIJ" 129 PetscErrorCode MatMatMultNumeric_MPIAIJ_MPIAIJ(Mat A,Mat P,Mat C) 130 { 131 PetscErrorCode ierr; 132 Mat_MPIAIJ *a=(Mat_MPIAIJ*)A->data,*c=(Mat_MPIAIJ*)C->data; 133 Mat_SeqAIJ *ad=(Mat_SeqAIJ*)(a->A)->data,*ao=(Mat_SeqAIJ*)(a->B)->data; 134 Mat_SeqAIJ *cd=(Mat_SeqAIJ*)(c->A)->data,*co=(Mat_SeqAIJ*)(c->B)->data; 135 PetscInt *adi=ad->i,*adj,*aoi=ao->i,*aoj; 136 PetscScalar *ada,*aoa,*cda=cd->a,*coa=co->a; 137 Mat_SeqAIJ *p_loc,*p_oth; 138 PetscInt *pi_loc,*pj_loc,*pi_oth,*pj_oth,*pj; 139 PetscScalar *pa_loc,*pa_oth,*pa,*apa,valtmp,*ca; 140 PetscInt cm=C->rmap->n,anz,pnz; 141 Mat_PtAPMPI *ptap=c->ptap; 142 PetscInt *api,*apj,*apJ,i,j,k,row; 143 PetscInt rstart=C->rmap->rstart,cstart=C->cmap->rstart; 144 PetscInt cdnz,conz,k0,k1; 145 146 PetscFunctionBegin; 147 /* 1) get P_oth = ptap->P_oth and P_loc = ptap->P_loc */ 148 /*-----------------------------------------------------*/ 149 /* update numerical values of P_oth and P_loc */ 150 ierr = MatGetBrowsOfAoCols_MPIAIJ(A,P,MAT_REUSE_MATRIX,&ptap->startsj,&ptap->startsj_r,&ptap->bufa,&ptap->P_oth);CHKERRQ(ierr); 151 ierr = MatMPIAIJGetLocalMat(P,MAT_REUSE_MATRIX,&ptap->P_loc);CHKERRQ(ierr); 152 153 /* 2) compute numeric C_loc = A_loc*P = Ad*P_loc + Ao*P_oth */ 154 /*----------------------------------------------------------*/ 155 /* get data from symbolic products */ 156 p_loc = (Mat_SeqAIJ*)(ptap->P_loc)->data; 157 p_oth = (Mat_SeqAIJ*)(ptap->P_oth)->data; 158 pi_loc=p_loc->i; pj_loc=p_loc->j; pa_loc=p_loc->a; 159 pi_oth=p_oth->i; pj_oth=p_oth->j; pa_oth=p_oth->a; 160 161 /* get apa for storing dense row A[i,:]*P */ 162 apa = ptap->apa; 163 164 for (i=0; i<cm; i++) { 165 /* diagonal portion of A */ 166 anz = adi[i+1] - adi[i]; 167 adj = ad->j + adi[i]; 168 ada = ad->a + adi[i]; 169 for (j=0; j<anz; j++) { 170 row = adj[j]; 171 pnz = pi_loc[row+1] - pi_loc[row]; 172 pj = pj_loc + pi_loc[row]; 173 pa = pa_loc + pi_loc[row]; 174 175 /* perform dense axpy */ 176 valtmp = ada[j]; 177 for (k=0; k<pnz; k++){ 178 apa[pj[k]] += valtmp*pa[k]; 179 } 180 ierr = PetscLogFlops(2.0*pnz);CHKERRQ(ierr); 181 } 182 183 /* off-diagonal portion of A */ 184 anz = aoi[i+1] - aoi[i]; 185 aoj = ao->j + aoi[i]; 186 aoa = ao->a + aoi[i]; 187 for (j=0; j<anz; j++) { 188 row = aoj[j]; 189 pnz = pi_oth[row+1] - pi_oth[row]; 190 pj = pj_oth + pi_oth[row]; 191 pa = pa_oth + pi_oth[row]; 192 193 /* perform dense axpy */ 194 valtmp = aoa[j]; 195 for (k=0; k<pnz; k++){ 196 apa[pj[k]] += valtmp*pa[k]; 197 } 198 ierr = PetscLogFlops(2.0*pnz);CHKERRQ(ierr); 199 } 200 201 /* set values in C */ 202 row = rstart + i; 203 api = ptap->api; 204 apj = ptap->apj; 205 apJ = apj + api[i]; 206 cdnz = cd->i[i+1] - cd->i[i]; 207 conz = co->i[i+1] - co->i[i]; 208 209 /* 1st off-diagoanl part of C */ 210 ca = coa + co->i[i]; 211 k = 0; 212 for (k0=0; k0<conz; k0++){ 213 if (apJ[k] >= cstart) break; 214 ca[k0] = apa[apJ[k]]; 215 apa[apJ[k]] = 0.0; 216 k++; 217 } 218 219 /* diagonal part of C */ 220 ca = cda + cd->i[i]; 221 for (k1=0; k1<cdnz; k1++){ 222 ca[k1] = apa[apJ[k]]; 223 apa[apJ[k]] = 0.0; 224 k++; 225 } 226 227 /* 2nd off-diagoanl part of C */ 228 ca = coa + co->i[i]; 229 for (; k0<conz; k0++){ 230 ca[k0] = apa[apJ[k]]; 231 apa[apJ[k]] = 0.0; 232 k++; 233 } 234 } 235 ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 236 ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 237 PetscFunctionReturn(0); 238 } 239 240 #undef __FUNCT__ 241 #define __FUNCT__ "MatMatMultSymbolic_MPIAIJ_MPIAIJ" 242 PetscErrorCode MatMatMultSymbolic_MPIAIJ_MPIAIJ(Mat A,Mat P,PetscReal fill,Mat *C) 243 { 244 PetscErrorCode ierr; 245 MPI_Comm comm=((PetscObject)A)->comm; 246 Mat Cmpi; 247 Mat_PtAPMPI *ptap; 248 PetscFreeSpaceList free_space=PETSC_NULL,current_space=PETSC_NULL; 249 Mat_MPIAIJ *a=(Mat_MPIAIJ*)A->data,*c; 250 Mat_SeqAIJ *ad=(Mat_SeqAIJ*)(a->A)->data,*ao=(Mat_SeqAIJ*)(a->B)->data,*p_loc,*p_oth; 251 PetscInt *pi_loc,*pj_loc,*pi_oth,*pj_oth,*dnz,*onz; 252 PetscInt *adi=ad->i,*adj=ad->j,*aoi=ao->i,*aoj=ao->j,rstart=A->rmap->rstart; 253 PetscInt nlnk,*lnk,i,pnz,row,*api,*apj,*Jptr,apnz,nspacedouble=0,j,nzi; 254 PetscInt am=A->rmap->n,pN=P->cmap->N,pn=P->cmap->n,pm=P->rmap->n; 255 PetscBT lnkbt; 256 PetscScalar *apa; 257 PetscReal afill; 258 PetscBool matmatmult_old=PETSC_FALSE; 259 260 PetscFunctionBegin; 261 if (A->cmap->rstart != P->rmap->rstart || A->cmap->rend != P->rmap->rend){ 262 SETERRQ4(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrix local dimensions are incompatible, (%D, %D) != (%D,%D)",A->cmap->rstart,A->cmap->rend,P->rmap->rstart,P->rmap->rend); 263 } 264 ierr = PetscOptionsGetBool(PETSC_NULL,"-matmatmult_old",&matmatmult_old,PETSC_NULL);CHKERRQ(ierr); 265 if (matmatmult_old){ 266 ierr = MatMatMultSymbolic_MPIAIJ_MPIAIJ_32(A,P,fill,C);;CHKERRQ(ierr); 267 PetscFunctionReturn(0); 268 } 269 270 /* create struct Mat_PtAPMPI and attached it to C later */ 271 ierr = PetscNew(Mat_PtAPMPI,&ptap);CHKERRQ(ierr); 272 273 /* malloc apa to store dense row A[i,:]*P */ 274 ierr = PetscMalloc(pN*sizeof(PetscScalar),&apa);CHKERRQ(ierr); 275 ierr = PetscMemzero(apa,pN*sizeof(PetscScalar));CHKERRQ(ierr); 276 ptap->apa = apa; 277 278 /* get P_oth by taking rows of P (= non-zero cols of local A) from other processors */ 279 ierr = MatGetBrowsOfAoCols_MPIAIJ(A,P,MAT_INITIAL_MATRIX,&ptap->startsj,&ptap->startsj_r,&ptap->bufa,&ptap->P_oth);CHKERRQ(ierr); 280 /* get P_loc by taking all local rows of P */ 281 ierr = MatMPIAIJGetLocalMat(P,MAT_INITIAL_MATRIX,&ptap->P_loc);CHKERRQ(ierr); 282 283 p_loc = (Mat_SeqAIJ*)(ptap->P_loc)->data; 284 p_oth = (Mat_SeqAIJ*)(ptap->P_oth)->data; 285 pi_loc = p_loc->i; pj_loc = p_loc->j; 286 pi_oth = p_oth->i; pj_oth = p_oth->j; 287 288 /* first, compute symbolic AP = A_loc*P = A_diag*P_loc + A_off*P_oth */ 289 /*-------------------------------------------------------------------*/ 290 ierr = PetscMalloc((am+2)*sizeof(PetscInt),&api);CHKERRQ(ierr); 291 ptap->api = api; 292 api[0] = 0; 293 294 /* create and initialize a linked list */ 295 nlnk = pN+1; 296 ierr = PetscLLCreate(pN,pN,nlnk,lnk,lnkbt);CHKERRQ(ierr); 297 298 /* Initial FreeSpace size is fill*(nnz(A)+nnz(P)) */ 299 ierr = PetscFreeSpaceGet((PetscInt)(fill*(adi[am]+aoi[am]+pi_loc[pm])),&free_space);CHKERRQ(ierr); 300 current_space = free_space; 301 302 ierr = MatPreallocateInitialize(comm,am,pn,dnz,onz);CHKERRQ(ierr); 303 for (i=0; i<am; i++) { 304 apnz = 0; 305 /* diagonal portion of A */ 306 nzi = adi[i+1] - adi[i]; 307 for (j=0; j<nzi; j++){ 308 row = *adj++; 309 pnz = pi_loc[row+1] - pi_loc[row]; 310 Jptr = pj_loc + pi_loc[row]; 311 /* add non-zero cols of P into the sorted linked list lnk */ 312 ierr = PetscLLAdd(pnz,Jptr,pN,nlnk,lnk,lnkbt);CHKERRQ(ierr); 313 apnz += nlnk; 314 } 315 /* off-diagonal portion of A */ 316 nzi = aoi[i+1] - aoi[i]; 317 for (j=0; j<nzi; j++){ 318 row = *aoj++; 319 pnz = pi_oth[row+1] - pi_oth[row]; 320 Jptr = pj_oth + pi_oth[row]; 321 ierr = PetscLLAdd(pnz,Jptr,pN,nlnk,lnk,lnkbt);CHKERRQ(ierr); 322 apnz += nlnk; 323 } 324 325 api[i+1] = api[i] + apnz; 326 327 /* if free space is not available, double the total space in the list */ 328 if (current_space->local_remaining<apnz) { 329 ierr = PetscFreeSpaceGet(apnz+current_space->total_array_size,¤t_space);CHKERRQ(ierr); 330 nspacedouble++; 331 } 332 333 /* Copy data into free space, then initialize lnk */ 334 ierr = PetscLLClean(pN,pN,apnz,lnk,current_space->array,lnkbt);CHKERRQ(ierr); 335 ierr = MatPreallocateSet(i+rstart,apnz,current_space->array,dnz,onz);CHKERRQ(ierr); 336 current_space->array += apnz; 337 current_space->local_used += apnz; 338 current_space->local_remaining -= apnz; 339 } 340 341 /* Allocate space for apj, initialize apj, and */ 342 /* destroy list of free space and other temporary array(s) */ 343 ierr = PetscMalloc((api[am]+1)*sizeof(PetscInt),&ptap->apj);CHKERRQ(ierr); 344 apj = ptap->apj; 345 ierr = PetscFreeSpaceContiguous(&free_space,ptap->apj);CHKERRQ(ierr); 346 ierr = PetscLLDestroy(lnk,lnkbt);CHKERRQ(ierr); 347 348 /* create and assemble symbolic parallel matrix Cmpi */ 349 /*----------------------------------------------------*/ 350 ierr = MatCreate(comm,&Cmpi);CHKERRQ(ierr); 351 ierr = MatSetSizes(Cmpi,am,pn,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr); 352 ierr = MatSetType(Cmpi,MATMPIAIJ);CHKERRQ(ierr); 353 ierr = MatMPIAIJSetPreallocation(Cmpi,0,dnz,0,onz);CHKERRQ(ierr); 354 ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr); 355 ierr = MatSetBlockSize(Cmpi,1);CHKERRQ(ierr); 356 for (i=0; i<am; i++){ 357 row = i + rstart; 358 apnz = api[i+1] - api[i]; 359 ierr = MatSetValues(Cmpi,1,&row,apnz,apj,apa,INSERT_VALUES);CHKERRQ(ierr); 360 apj += apnz; 361 } 362 ierr = MatAssemblyBegin(Cmpi,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 363 ierr = MatAssemblyEnd(Cmpi,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 364 365 ptap->destroy = Cmpi->ops->destroy; 366 ptap->duplicate = Cmpi->ops->duplicate; 367 Cmpi->ops->matmultnumeric = MatMatMultNumeric_MPIAIJ_MPIAIJ; 368 Cmpi->ops->destroy = MatDestroy_MPIAIJ_MatMatMult; 369 Cmpi->ops->duplicate = MatDuplicate_MPIAIJ_MatMatMult; 370 371 /* attach the supporting struct to Cmpi for reuse */ 372 c = (Mat_MPIAIJ*)Cmpi->data; 373 c->ptap = ptap; 374 375 *C = Cmpi; 376 377 /* set MatInfo */ 378 afill = (PetscReal)api[am]/(adi[am]+aoi[am]+pi_loc[pm]) + 1.e-5; 379 if (afill < 1.0) afill = 1.0; 380 Cmpi->info.mallocs = nspacedouble; 381 Cmpi->info.fill_ratio_given = fill; 382 Cmpi->info.fill_ratio_needed = afill; 383 384 #if defined(PETSC_USE_INFO) 385 if (api[am]) { 386 ierr = PetscInfo3(Cmpi,"Reallocs %D; Fill ratio: given %G needed %G.\n",nspacedouble,fill,afill);CHKERRQ(ierr); 387 ierr = PetscInfo1(Cmpi,"Use MatMatMult(A,B,MatReuse,%G,&C) for best performance.;\n",afill);CHKERRQ(ierr); 388 } else { 389 ierr = PetscInfo(Cmpi,"Empty matrix product\n");CHKERRQ(ierr); 390 } 391 #endif 392 PetscFunctionReturn(0); 393 } 394 395 /* implementation used in PETSc-3.2 */ 396 /* This routine is called ONLY in the case of reusing previously computed symbolic C */ 397 #undef __FUNCT__ 398 #define __FUNCT__ "MatMatMultNumeric_MPIAIJ_MPIAIJ_32" 399 PetscErrorCode MatMatMultNumeric_MPIAIJ_MPIAIJ_32(Mat A,Mat B,Mat C) 400 { 401 PetscErrorCode ierr; 402 Mat *seq; 403 Mat_MatMatMultMPI *mult; 404 PetscContainer container; 405 406 PetscFunctionBegin; 407 ierr = PetscObjectQuery((PetscObject)C,"Mat_MatMatMultMPI",(PetscObject *)&container);CHKERRQ(ierr); 408 if (!container) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Container does not exit"); 409 ierr = PetscContainerGetPointer(container,(void **)&mult);CHKERRQ(ierr); 410 seq = &mult->B_seq; 411 ierr = MatGetSubMatrices(B,1,&mult->isrowb,&mult->iscolb,MAT_REUSE_MATRIX,&seq);CHKERRQ(ierr); 412 mult->B_seq = *seq; 413 414 seq = &mult->A_loc; 415 ierr = MatGetSubMatrices(A,1,&mult->isrowa,&mult->isrowb,MAT_REUSE_MATRIX,&seq);CHKERRQ(ierr); 416 mult->A_loc = *seq; 417 418 ierr = MatMatMultNumeric_SeqAIJ_SeqAIJ_SparseAxpy(mult->A_loc,mult->B_seq,mult->C_seq);CHKERRQ(ierr); 419 420 ierr = PetscObjectReference((PetscObject)mult->C_seq);CHKERRQ(ierr); 421 ierr = MatMerge(((PetscObject)A)->comm,mult->C_seq,B->cmap->n,MAT_REUSE_MATRIX,&C);CHKERRQ(ierr); 422 PetscFunctionReturn(0); 423 } 424 425 #undef __FUNCT__ 426 #define __FUNCT__ "MatMatMultSymbolic_MPIAIJ_MPIAIJ_32" 427 PetscErrorCode MatMatMultSymbolic_MPIAIJ_MPIAIJ_32(Mat A,Mat B,PetscReal fill,Mat *C) 428 { 429 PetscErrorCode ierr; 430 Mat_MatMatMultMPI *mult; 431 PetscContainer container; 432 Mat AB,*seq; 433 Mat_MPIAIJ *a=(Mat_MPIAIJ*)A->data; 434 PetscInt *idx,i,start,ncols,nzA,nzB,*cmap,imark; 435 436 PetscFunctionBegin; 437 if (A->cmap->rstart != B->rmap->rstart || A->cmap->rend != B->rmap->rend){ 438 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); 439 } 440 441 ierr = PetscNew(Mat_MatMatMultMPI,&mult);CHKERRQ(ierr); 442 443 /* get isrowb: nonzero col of A */ 444 start = A->cmap->rstart; 445 cmap = a->garray; 446 nzA = a->A->cmap->n; 447 nzB = a->B->cmap->n; 448 ierr = PetscMalloc((nzA+nzB)*sizeof(PetscInt), &idx);CHKERRQ(ierr); 449 ncols = 0; 450 for (i=0; i<nzB; i++) { /* row < local row index */ 451 if (cmap[i] < start) idx[ncols++] = cmap[i]; 452 else break; 453 } 454 imark = i; 455 for (i=0; i<nzA; i++) idx[ncols++] = start + i; /* local rows */ 456 for (i=imark; i<nzB; i++) idx[ncols++] = cmap[i]; /* row > local row index */ 457 ierr = ISCreateGeneral(PETSC_COMM_SELF,ncols,idx,PETSC_OWN_POINTER,&mult->isrowb);CHKERRQ(ierr); 458 ierr = ISCreateStride(PETSC_COMM_SELF,B->cmap->N,0,1,&mult->iscolb);CHKERRQ(ierr); 459 460 /* get isrowa: all local rows of A */ 461 ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->n,A->rmap->rstart,1,&mult->isrowa);CHKERRQ(ierr); 462 463 /* Below should go to MatMatMultNumeric_MPIAIJ_MPIAIJ() - How to generate C there? */ 464 /* create a seq matrix B_seq = submatrix of B by taking rows of B that equal to nonzero col of A */ 465 ierr = MatGetSubMatrices(B,1,&mult->isrowb,&mult->iscolb,MAT_INITIAL_MATRIX,&seq);CHKERRQ(ierr); 466 mult->B_seq = *seq; 467 ierr = PetscFree(seq);CHKERRQ(ierr); 468 469 /* create a seq matrix A_seq = submatrix of A by taking all local rows of A */ 470 ierr = MatGetSubMatrices(A,1,&mult->isrowa,&mult->isrowb,MAT_INITIAL_MATRIX,&seq);CHKERRQ(ierr); 471 mult->A_loc = *seq; 472 ierr = PetscFree(seq);CHKERRQ(ierr); 473 474 /* compute C_seq = A_seq * B_seq */ 475 ierr = MatMatMultSymbolic_SeqAIJ_SeqAIJ(mult->A_loc,mult->B_seq,fill,&mult->C_seq);CHKERRQ(ierr); 476 ierr = MatMatMultNumeric_SeqAIJ_SeqAIJ(mult->A_loc,mult->B_seq,mult->C_seq);CHKERRQ(ierr); 477 478 /* create mpi matrix C by concatinating C_seq */ 479 ierr = PetscObjectReference((PetscObject)mult->C_seq);CHKERRQ(ierr); /* prevent C_seq being destroyed by MatMerge() */ 480 ierr = MatMergeSymbolic(((PetscObject)A)->comm,mult->C_seq,B->cmap->n,&AB);CHKERRQ(ierr); 481 ierr = MatMergeNumeric(((PetscObject)A)->comm,mult->C_seq,B->cmap->n,AB);CHKERRQ(ierr); 482 483 /* attach the supporting struct to C for reuse of symbolic C */ 484 ierr = PetscContainerCreate(PETSC_COMM_SELF,&container);CHKERRQ(ierr); 485 ierr = PetscContainerSetPointer(container,mult);CHKERRQ(ierr); 486 ierr = PetscContainerSetUserDestroy(container,PetscContainerDestroy_Mat_MatMatMultMPI);CHKERRQ(ierr); 487 ierr = PetscObjectCompose((PetscObject)AB,"Mat_MatMatMultMPI",(PetscObject)container);CHKERRQ(ierr); 488 ierr = PetscContainerDestroy(&container);CHKERRQ(ierr); 489 mult->destroy = AB->ops->destroy; 490 mult->duplicate = AB->ops->duplicate; 491 AB->ops->matmultnumeric = MatMatMultNumeric_MPIAIJ_MPIAIJ_32; 492 AB->ops->destroy = MatDestroy_MPIAIJ_MatMatMult_32; 493 AB->ops->duplicate = MatDuplicate_MPIAIJ_MatMatMult_32; 494 AB->ops->matmult = MatMatMult_MPIAIJ_MPIAIJ; 495 *C = AB; 496 PetscFunctionReturn(0); 497 } 498 499 #undef __FUNCT__ 500 #define __FUNCT__ "MatMatMult_MPIAIJ_MPIDense" 501 PetscErrorCode MatMatMult_MPIAIJ_MPIDense(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C) 502 { 503 PetscErrorCode ierr; 504 505 PetscFunctionBegin; 506 if (scall == MAT_INITIAL_MATRIX){ 507 ierr = MatMatMultSymbolic_MPIAIJ_MPIDense(A,B,fill,C);CHKERRQ(ierr); 508 } 509 ierr = MatMatMultNumeric_MPIAIJ_MPIDense(A,B,*C);CHKERRQ(ierr); 510 PetscFunctionReturn(0); 511 } 512 513 typedef struct { 514 Mat workB; 515 PetscScalar *rvalues,*svalues; 516 MPI_Request *rwaits,*swaits; 517 } MPIAIJ_MPIDense; 518 519 #undef __FUNCT__ 520 #define __FUNCT__ "MPIAIJ_MPIDenseDestroy" 521 PetscErrorCode MPIAIJ_MPIDenseDestroy(void *ctx) 522 { 523 MPIAIJ_MPIDense *contents = (MPIAIJ_MPIDense*) ctx; 524 PetscErrorCode ierr; 525 526 PetscFunctionBegin; 527 ierr = MatDestroy(&contents->workB);CHKERRQ(ierr); 528 ierr = PetscFree4(contents->rvalues,contents->svalues,contents->rwaits,contents->swaits);CHKERRQ(ierr); 529 ierr = PetscFree(contents);CHKERRQ(ierr); 530 PetscFunctionReturn(0); 531 } 532 533 #undef __FUNCT__ 534 #define __FUNCT__ "MatMatMultSymbolic_MPIAIJ_MPIDense" 535 PetscErrorCode MatMatMultSymbolic_MPIAIJ_MPIDense(Mat A,Mat B,PetscReal fill,Mat *C) 536 { 537 PetscErrorCode ierr; 538 Mat_MPIAIJ *aij = (Mat_MPIAIJ*) A->data; 539 PetscInt nz = aij->B->cmap->n; 540 PetscContainer container; 541 MPIAIJ_MPIDense *contents; 542 VecScatter ctx = aij->Mvctx; 543 VecScatter_MPI_General *from = (VecScatter_MPI_General*) ctx->fromdata; 544 VecScatter_MPI_General *to = ( VecScatter_MPI_General*) ctx->todata; 545 PetscInt m=A->rmap->n,n=B->cmap->n; 546 547 PetscFunctionBegin; 548 ierr = MatCreate(((PetscObject)B)->comm,C);CHKERRQ(ierr); 549 ierr = MatSetSizes(*C,m,n,A->rmap->N,B->cmap->N);CHKERRQ(ierr); 550 ierr = MatSetType(*C,MATMPIDENSE);CHKERRQ(ierr); 551 ierr = MatAssemblyBegin(*C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 552 ierr = MatAssemblyEnd(*C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 553 (*C)->ops->matmult = MatMatMult_MPIAIJ_MPIDense; 554 555 ierr = PetscNew(MPIAIJ_MPIDense,&contents);CHKERRQ(ierr); 556 /* Create work matrix used to store off processor rows of B needed for local product */ 557 ierr = MatCreateSeqDense(PETSC_COMM_SELF,nz,B->cmap->N,PETSC_NULL,&contents->workB);CHKERRQ(ierr); 558 /* Create work arrays needed */ 559 ierr = PetscMalloc4(B->cmap->N*from->starts[from->n],PetscScalar,&contents->rvalues, 560 B->cmap->N*to->starts[to->n],PetscScalar,&contents->svalues, 561 from->n,MPI_Request,&contents->rwaits, 562 to->n,MPI_Request,&contents->swaits);CHKERRQ(ierr); 563 564 ierr = PetscContainerCreate(((PetscObject)A)->comm,&container);CHKERRQ(ierr); 565 ierr = PetscContainerSetPointer(container,contents);CHKERRQ(ierr); 566 ierr = PetscContainerSetUserDestroy(container,MPIAIJ_MPIDenseDestroy);CHKERRQ(ierr); 567 ierr = PetscObjectCompose((PetscObject)(*C),"workB",(PetscObject)container);CHKERRQ(ierr); 568 ierr = PetscContainerDestroy(&container);CHKERRQ(ierr); 569 PetscFunctionReturn(0); 570 } 571 572 #undef __FUNCT__ 573 #define __FUNCT__ "MatMPIDenseScatter" 574 /* 575 Performs an efficient scatter on the rows of B needed by this process; this is 576 a modification of the VecScatterBegin_() routines. 577 */ 578 PetscErrorCode MatMPIDenseScatter(Mat A,Mat B,Mat C,Mat *outworkB) 579 { 580 Mat_MPIAIJ *aij = (Mat_MPIAIJ*)A->data; 581 PetscErrorCode ierr; 582 PetscScalar *b,*w,*svalues,*rvalues; 583 VecScatter ctx = aij->Mvctx; 584 VecScatter_MPI_General *from = (VecScatter_MPI_General*) ctx->fromdata; 585 VecScatter_MPI_General *to = ( VecScatter_MPI_General*) ctx->todata; 586 PetscInt i,j,k; 587 PetscInt *sindices,*sstarts,*rindices,*rstarts; 588 PetscMPIInt *sprocs,*rprocs,nrecvs; 589 MPI_Request *swaits,*rwaits; 590 MPI_Comm comm = ((PetscObject)A)->comm; 591 PetscMPIInt tag = ((PetscObject)ctx)->tag,ncols = B->cmap->N, nrows = aij->B->cmap->n,imdex,nrowsB = B->rmap->n; 592 MPI_Status status; 593 MPIAIJ_MPIDense *contents; 594 PetscContainer container; 595 Mat workB; 596 597 PetscFunctionBegin; 598 ierr = PetscObjectQuery((PetscObject)C,"workB",(PetscObject*)&container);CHKERRQ(ierr); 599 if (!container) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Container does not exit"); 600 ierr = PetscContainerGetPointer(container,(void**)&contents);CHKERRQ(ierr); 601 602 workB = *outworkB = contents->workB; 603 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); 604 sindices = to->indices; 605 sstarts = to->starts; 606 sprocs = to->procs; 607 swaits = contents->swaits; 608 svalues = contents->svalues; 609 610 rindices = from->indices; 611 rstarts = from->starts; 612 rprocs = from->procs; 613 rwaits = contents->rwaits; 614 rvalues = contents->rvalues; 615 616 ierr = MatGetArray(B,&b);CHKERRQ(ierr); 617 ierr = MatGetArray(workB,&w);CHKERRQ(ierr); 618 619 for (i=0; i<from->n; i++) { 620 ierr = MPI_Irecv(rvalues+ncols*rstarts[i],ncols*(rstarts[i+1]-rstarts[i]),MPIU_SCALAR,rprocs[i],tag,comm,rwaits+i);CHKERRQ(ierr); 621 } 622 623 for (i=0; i<to->n; i++) { 624 /* pack a message at a time */ 625 CHKMEMQ; 626 for (j=0; j<sstarts[i+1]-sstarts[i]; j++){ 627 for (k=0; k<ncols; k++) { 628 svalues[ncols*(sstarts[i] + j) + k] = b[sindices[sstarts[i]+j] + nrowsB*k]; 629 } 630 } 631 CHKMEMQ; 632 ierr = MPI_Isend(svalues+ncols*sstarts[i],ncols*(sstarts[i+1]-sstarts[i]),MPIU_SCALAR,sprocs[i],tag,comm,swaits+i);CHKERRQ(ierr); 633 } 634 635 nrecvs = from->n; 636 while (nrecvs) { 637 ierr = MPI_Waitany(from->n,rwaits,&imdex,&status);CHKERRQ(ierr); 638 nrecvs--; 639 /* unpack a message at a time */ 640 CHKMEMQ; 641 for (j=0; j<rstarts[imdex+1]-rstarts[imdex]; j++){ 642 for (k=0; k<ncols; k++) { 643 w[rindices[rstarts[imdex]+j] + nrows*k] = rvalues[ncols*(rstarts[imdex] + j) + k]; 644 } 645 } 646 CHKMEMQ; 647 } 648 if (to->n) {ierr = MPI_Waitall(to->n,swaits,to->sstatus);CHKERRQ(ierr);} 649 650 ierr = MatRestoreArray(B,&b);CHKERRQ(ierr); 651 ierr = MatRestoreArray(workB,&w);CHKERRQ(ierr); 652 ierr = MatAssemblyBegin(workB,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 653 ierr = MatAssemblyEnd(workB,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 654 PetscFunctionReturn(0); 655 } 656 extern PetscErrorCode MatMatMultNumericAdd_SeqAIJ_SeqDense(Mat,Mat,Mat); 657 658 #undef __FUNCT__ 659 #define __FUNCT__ "MatMatMultNumeric_MPIAIJ_MPIDense" 660 PetscErrorCode MatMatMultNumeric_MPIAIJ_MPIDense(Mat A,Mat B,Mat C) 661 { 662 PetscErrorCode ierr; 663 Mat_MPIAIJ *aij = (Mat_MPIAIJ*)A->data; 664 Mat_MPIDense *bdense = (Mat_MPIDense*)B->data; 665 Mat_MPIDense *cdense = (Mat_MPIDense*)C->data; 666 Mat workB; 667 668 PetscFunctionBegin; 669 670 /* diagonal block of A times all local rows of B*/ 671 ierr = MatMatMultNumeric_SeqAIJ_SeqDense(aij->A,bdense->A,cdense->A);CHKERRQ(ierr); 672 673 /* get off processor parts of B needed to complete the product */ 674 ierr = MatMPIDenseScatter(A,B,C,&workB);CHKERRQ(ierr); 675 676 /* off-diagonal block of A times nonlocal rows of B */ 677 ierr = MatMatMultNumericAdd_SeqAIJ_SeqDense(aij->B,workB,cdense->A);CHKERRQ(ierr); 678 ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 679 ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 680 PetscFunctionReturn(0); 681 } 682 683